Edit Profile (opens in new tab) Dumbser, Michael Compute Distance To: Compute Author ID: dumbser.michael Published as: Dumbser, Michael; Dumbser, M. External Links: ORCID Documents Indexed: 143 Publications since 2003 6 Contributions as Editor Co-Authors: 114 Co-Authors with 142 Joint Publications 2,007 Co-Co-Authors all top 5 Co-Authors 7 single-authored 23 Munz, Claus-Dieter 20 Boscheri, Walter 16 Toro, Eleuterio F. 14 Balsara, Dinshaw S. 13 Tavelli, Maurizio 10 Zanotti, Olindo 9 Romenskii, Evgenii I. 8 Busto, Saray 8 Castro, Manuel J. 8 Gaburro, Elena 8 Loubère, Raphaël 8 Peshkov, Ilya M. 7 Fambri, Francesco 6 Hidalgo, Arturo 6 Ioriatti, Matteo 5 Gassner, Gregor J. 4 Armanini, Aronne 4 Casulli, Vincenzo 4 Chiocchetti, Simone 4 Titarev, Vladimir A. 3 Avesani, Diego 3 Bader, Michael 3 Ferrari, Angela 3 Filimon, Alexander 3 Gavrilyuk, Sergey L. 3 Iben, Uwe 3 Käser, Martin 3 Righetti, Maurizio 3 Roller, Sabine 3 Schwartzkopff, Thomas 2 Bassi, Caterina 2 Bellin, Alberto 2 Després, Bruno 2 Diot, Steven 2 Escalante, Cipriano 2 Fortenbach, Roland 2 Goetz, Claus R. 2 Hindenlang, Florian J. 2 Parés Madroñal, Carlos 2 Qiu, Jianxian 2 Rannabauer, Leonhard 2 Semplice, Matteo 2 Shu, Chi-Wang 2 Taube, Arne 2 Utyuzhnikov, Sergey V. 2 Utzmann, Jens 2 Vázquez-Cendón, María Elena 2 Weinzierl, Tobias 1 Abgrall, Rémi 1 Altmann, Christoph 1 Ariunaa, Uuriintsetseg 1 Audit, Edouard 1 Babucke, Andreas 1 Bankole, Adeleke O. 1 Bermúdez, Alfredo 1 Bonaventura, Luca 1 Castro-Díaz, Manuel Jesús 1 Castro, Cristóbal E. 1 Charrier, Dominic Etienne 1 Chiogna, Gabriele 1 Demidenko, Gennadiĭ Vladimirovich 1 Du, Huijing 1 Enaux, Cedric 1 Facchini, M. 1 Favrie, Nicolas 1 Fernández, E. Guerrero 1 Ferrín, Jose Luis 1 Fraccarollo, Luigi 1 Furci, Isabella 1 Gabriel, Alice-Agnes 1 Garain, Sudip K. 1 Gressier, Jérémie 1 Gurski, Katharine F. 1 Iske, Armin 1 Ivanova, Kseniya 1 Kamm, James R. 1 Kemm, Friedemann 1 Leibinger, Julia 1 Maire, Pierre-Henri 1 Mazza, Mariarosa 1 Meyer, Chad 1 Montecinos, Gino I. 1 Moraga, Nelson O. 1 Morales de Luna, Tomás 1 Moschetta, Jean-Marc 1 Nguyen, Nguyen Thanh 1 Nkonga, Boniface 1 Reinarz, Anne 1 Reshetova, Galina Vitalevna 1 Río-Martín, Laura 1 Rohde, Christian 1 Romeo, F. L. 1 Rossi, Giulia 1 Rumpf, Tobias 1 Rung, Thomas 1 Saavedra, Laura 1 Salmon, Stéphanie 1 Sarantuya, Tsedendamba 1 Saurel, Richard 1 Schneider, Rudolf ...and 14 more Co-Authors all top 5 Serials 44 Journal of Computational Physics 24 Computers and Fluids 11 Journal of Scientific Computing 8 Computer Methods in Applied Mechanics and Engineering 8 Applied Mathematics and Computation 7 Applied Numerical Mathematics 6 Communications in Computational Physics 2 SIAM Journal on Scientific Computing 2 European Series in Applied and Industrial Mathematics (ESAIM): Proceedings 2 Comptes Rendus. Mécanique. Académie des Sciences, Paris 2 Oberwolfach Reports 1 Computers & Mathematics with Applications 1 Computer Physics Communications 1 International Journal for Numerical Methods in Fluids 1 Jahresbericht der Deutschen Mathematiker-Vereinigung (DMV) 1 Journal of Fluid Mechanics 1 Journal of Mathematical Biology 1 Zhurnal Vychislitel’noĭ Matematiki i Matematicheskoĭ Fiziki 1 International Journal for Numerical Methods in Engineering 1 Physics of Fluids 1 Numerical Linear Algebra with Applications 1 ZAMM. Zeitschrift für Angewandte Mathematik und Mechanik 1 International Journal of Numerical Modelling 1 International Journal of Applied Mathematics and Computer Science 1 CMES. Computer Modeling in Engineering & Sciences 1 European Series in Applied and Industrial Mathematics (ESAIM): Mathematical Modelling and Numerical Analysis 1 PAMM. Proceedings in Applied Mathematics and Mechanics 1 International Journal for Numerical Methods in Biomedical Engineering 1 Izvestiya Irkutskogo Gosudarstvennogo Universiteta. Seriya Matematika 1 Axioms 1 Philosophical Transactions of the Royal Society of London. A. Mathematical, Physical and Engineering Sciences 1 Communications on Applied Mathematics and Computation all top 5 Fields 117 Fluid mechanics (76-XX) 102 Numerical analysis (65-XX) 35 Partial differential equations (35-XX) 15 Mechanics of deformable solids (74-XX) 6 General and overarching topics; collections (00-XX) 5 Geophysics (86-XX) 4 Astronomy and astrophysics (85-XX) 3 Classical thermodynamics, heat transfer (80-XX) 3 Biology and other natural sciences (92-XX) 2 Optics, electromagnetic theory (78-XX) 2 Relativity and gravitational theory (83-XX) 1 Global analysis, analysis on manifolds (58-XX) 1 Statistical mechanics, structure of matter (82-XX) Publications by Year all cited Publications top 5 cited Publications Citations contained in zbMATH Open 122 Publications have been cited 3,684 times in 1,242 Documents Cited by ▼ Year ▼ A unified framework for the construction of one-step finite volume and discontinuous Galerkin schemes on unstructured meshes. Zbl 1147.65075Dumbser, Michael; Balsara, Dinshaw S.; Toro, Eleuterio F.; Munz, Claus-Dieter 234 2008 Arbitrary high order non-oscillatory finite volume schemes on unstructured meshes for linear hyperbolic systems. Zbl 1110.65077Dumbser, Michael; Käser, Martin 200 2007 Quadrature-free non-oscillatory finite volume schemes on unstructured meshes for nonlinear hyperbolic systems. Zbl 1124.65074Dumbser, Michael; Käser, Martin; Titarev, Vladimir A.; Toro, Eleuterio F. 134 2007 Finite volume schemes of very high order of accuracy for stiff hyperbolic balance laws. Zbl 1142.65070Dumbser, Michael; Enaux, Cedric; Toro, Eleuterio F. 127 2008 A posteriori subcell limiting of the discontinuous Galerkin finite element method for hyperbolic conservation laws. Zbl 1349.65448Dumbser, Michael; Zanotti, Olindo; Loubère, Raphaël; Diot, Steven 121 2014 Arbitrary high order \(P_{N}P_{M}\) schemes on unstructured meshes for the compressible Navier-Stokes equations. Zbl 1242.76161Dumbser, Michael 112 2010 Efficient, high accuracy ADER-WENO schemes for hydrodynamics and divergence-free magnetohydrodynamics. Zbl 1275.76169Balsara, Dinshaw S.; Rumpf, Tobias; Dumbser, Michael; Munz, Claus-Dieter 111 2009 A simple extension of the Osher Riemann solver to non-conservative hyperbolic systems. Zbl 1220.65110Dumbser, Michael; Toro, Eleuterio F. 94 2011 ADER schemes on unstructured meshes for nonconservative hyperbolic systems: applications to geophysical flows. Zbl 1177.76222Dumbser, Michael; Castro, Manuel; Parés, Carlos; Toro, Eleuterio F. 92 2009 Runge-Kutta discontinuous Galerkin method using WENO limiters II: Unstructured meshes. Zbl 1157.65453Zhu, Jun; Qiu, Jianxian; Shu, Chi-Wang; Dumbser, Michael 92 2008 A new 3D parallel SPH scheme for free surface flows. Zbl 1242.76270Ferrari, Angela; Dumbser, Michael; Toro, Eleuterio F.; Armanini, Aronne 79 2009 ADER-WENO finite volume schemes with space-time adaptive mesh refinement. Zbl 1349.76325Dumbser, Michael; Zanotti, Olindo; Hidalgo, Arturo; Balsara, Dinshaw S. 73 2013 On universal Osher-type schemes for general nonlinear hyperbolic conservation laws. Zbl 1373.76125Dumbser, Michael; Toro, Eleuterio F. 70 2011 Building blocks for arbitrary high order discontinuous Galerkin schemes. Zbl 1115.65100Dumbser, Michael; Munz, Claus-Dieter 68 2006 Efficient implementation of ADER schemes for Euler and magnetohydrodynamical flows on structured meshes – speed comparisons with Runge-Kutta methods. Zbl 1291.76237Balsara, Dinshaw S.; Meyer, Chad; Dumbser, Michael; Du, Huijing; Xu, Zhiliang 67 2013 A direct arbitrary-Lagrangian-Eulerian ADER-WENO finite volume scheme on unstructured tetrahedral meshes for conservative and non-conservative hyperbolic systems in 3D. Zbl 1349.76310Boscheri, Walter; Dumbser, Michael 64 2014 FORCE schemes on unstructured meshes. II: Non-conservative hyperbolic systems. Zbl 1227.76043Dumbser, Michael; Hidalgo, Arturo; Castro, Manuel; Parés, Carlos; Toro, Eleuterio F. 64 2010 Very high order \(P_NP_M\) schemes on unstructured meshes for the resistive relativistic MHD equations. Zbl 1261.76028Dumbser, Michael; Zanotti, Olindo 63 2009 Multidimensional HLLC Riemann solver for unstructured meshes – with application to Euler and MHD flows. Zbl 1349.76426Balsara, Dinshaw S.; Dumbser, Michael; Abgrall, Remi 62 2014 High order ADER schemes for a unified first order hyperbolic formulation of continuum mechanics: viscous heat-conducting fluids and elastic solids. Zbl 1349.76324Dumbser, Michael; Peshkov, Ilya; Romenski, Evgeniy; Zanotti, Olindo 55 2016 The discontinuous Galerkin method with Lax–Wendroff type time discretizations. Zbl 1093.76038Qiu, Jianxian; Dumbser, Michael; Shu, Chi-Wang 55 2005 A new efficient formulation of the HLLEM Riemann solver for general conservative and non-conservative hyperbolic systems. Zbl 1349.76603Dumbser, Michael; Balsara, Dinshaw S. 53 2016 ADER schemes for nonlinear systems of stiff advection-diffusion-reaction equations. Zbl 1221.65231Hidalgo, Arturo; Dumbser, Michael 52 2011 A new family of high order unstructured MOOD and ADER finite volume schemes for multidimensional systems of hyperbolic conservation laws. Zbl 1373.76137Loubère, Raphaël; Dumbser, Michael; Diot, Steven 49 2014 Space-time adaptive ADER discontinuous Galerkin finite element schemes with a posteriori sub-cell finite volume limiting. Zbl 1390.76381Zanotti, Olindo; Fambri, Francesco; Dumbser, Michael; Hidalgo, Arturo 45 2015 Fast high order ADER schemes for linear hyperbolic equations. Zbl 1052.65078Schwartzkopff, Thomas; Dumbser, Michael; Munz, Claus-Dieter 43 2004 A simple robust and accurate a posteriori sub-cell finite volume limiter for the discontinuous Galerkin method on unstructured meshes. Zbl 1349.65447Dumbser, Michael; Loubère, Raphaël 42 2016 A sub-cell based indicator for troubled zones in RKDG schemes and a novel class of hybrid RKDG+HWENO schemes. Zbl 1124.65072Balsara, Dinshaw S.; Altmann, Christoph; Munz, Claus-Dieter; Dumbser, Michael 42 2007 FORCE schemes on unstructured meshes. I: Conservative hyperbolic systems. Zbl 1168.65377Toro, Eleuterio F.; Hidalgo, Arturo; Dumbser, Michael 41 2008 A matrix stability analysis of the carbuncle phenomenon. Zbl 1079.76607Dumbser, Michael; Moschetta, Jean-Marc; Gressier, Jérémie 41 2004 High-order unstructured Lagrangian one-step WENO finite volume schemes for non-conservative hyperbolic systems: applications to compressible multi-phase flows. Zbl 1290.76081Dumbser, Michael; Boscheri, Walter 38 2013 Arbitrary-Lagrangian-Eulerian one-step WENO finite volume schemes on unstructured triangular meshes. Zbl 1388.65075Boscheri, Walter; Dumbser, Michael 38 2013 High order space-time adaptive ADER-WENO finite volume schemes for non-conservative hyperbolic systems. Zbl 1295.65088Dumbser, Michael; Hidalgo, Arturo; Zanotti, Olindo 37 2014 Lagrangian ADER-WENO finite volume schemes on unstructured triangular meshes based on genuinely multidimensional HLL Riemann solvers. Zbl 1349.76309Boscheri, Walter; Balsara, Dinshaw S.; Dumbser, Michael 36 2014 Divergence-free MHD on unstructured meshes using high order finite volume schemes based on multidimensional Riemann solvers. Zbl 1351.76092Balsara, Dinshaw S.; Dumbser, Michael 35 2015 Arbitrary-Lagrangian-Eulerian discontinuous Galerkin schemes with a posteriori subcell finite volume limiting on moving unstructured meshes. Zbl 1378.76044Boscheri, Walter; Dumbser, Michael 34 2017 Multidimensional Riemann problem with self-similar internal structure. Part II: Application to hyperbolic conservation laws on unstructured meshes. Zbl 1351.76091Balsara, Dinshaw S.; Dumbser, Michael 33 2015 A high order semi-implicit discontinuous Galerkin method for the two dimensional shallow water equations on staggered unstructured meshes. Zbl 1298.76120Tavelli, Maurizio; Dumbser, Michael 33 2014 Central weighted ENO schemes for hyperbolic conservation laws on fixed and moving unstructured meshes. Zbl 1377.65115Dumbser, Michael; Boscheri, Walter; Semplice, Matteo; Russo, Giovanni 32 2017 A staggered semi-implicit spectral discontinuous Galerkin scheme for the shallow water equations. Zbl 1366.76050Dumbser, Michael; Casulli, Vincenzo 31 2013 A pressure-based semi-implicit space-time discontinuous Galerkin method on staggered unstructured meshes for the solution of the compressible Navier-Stokes equations at all Mach numbers. Zbl 1376.76028Tavelli, Maurizio; Dumbser, Michael 30 2017 A staggered space-time discontinuous Galerkin method for the three-dimensional incompressible Navier-Stokes equations on unstructured tetrahedral meshes. Zbl 1349.76271Tavelli, Maurizio; Dumbser, Michael 30 2016 ADER discontinuous Galerkin schemes for aeroacoustics. Zbl 1107.76044Dumbser, Michael; Munz, Claus-Dieter 30 2005 A new class of moving-least-squares WENO-SPH schemes. Zbl 1349.76661Avesani, Diego; Dumbser, Michael; Bellin, Alberto 28 2014 Explicit one-step time discretizations for discontinuous Galerkin and finite volume schemes based on local predictors. Zbl 1220.65122Gassner, Gregor; Dumbser, Michael; Hindenlang, Florian; Munz, Claus-Dieter 28 2011 A high-order discontinuous Galerkin method with time-accurate local time stepping for the Maxwell equations. Zbl 1156.78012Taube, Arne; Dumbser, Michael; Munz, Claus-Dieter; Schneider, Rudolf 28 2009 Comparison of solvers for the generalized Riemann problem for hyperbolic systems with source terms. Zbl 1284.35268Montecinos, G.; Castro, C. E.; Dumbser, M.; Toro, E. F. 27 2012 A staggered semi-implicit discontinuous Galerkin method for the two dimensional incompressible Navier-Stokes equations. Zbl 1338.76068Tavelli, Maurizio; Dumbser, Michael 27 2014 Direct arbitrary-Lagrangian-Eulerian ADER-MOOD finite volume schemes for multidimensional hyperbolic conservation laws. Zbl 1349.76312Boscheri, Walter; Loubère, Raphaël; Dumbser, Michael 25 2015 Arbitrary high-order discontinuous Galerkin schemes for the magnetohydrodynamic equations. Zbl 1176.76075Taube, Arne; Dumbser, Michael; Balsara, Dinshaw S.; Munz, Claus-Dieter 24 2007 Arbitrary high order discontinuous Galerkin schemes. Zbl 1210.65165Dumbser, M.; Munz, C.-D. 23 2005 A conservative, weakly nonlinear semi-implicit finite volume scheme for the compressible Navier-Stokes equations with general equation of state. Zbl 1410.76220Dumbser, Michael; Casulli, Vincenzo 23 2016 On arbitrary-Lagrangian-Eulerian one-step WENO schemes for stiff hyperbolic balance laws. Zbl 1373.76126Dumbser, Michael; Uuriintsetseg, Ariunaa; Zanotti, Olindo 22 2013 A staggered space-time discontinuous Galerkin method for the incompressible Navier-Stokes equations on two-dimensional triangular meshes. Zbl 1390.76360Tavelli, Maurizio; Dumbser, Michael 22 2015 Cell centered direct arbitrary-Lagrangian-Eulerian ADER-WENO finite volume schemes for nonlinear hyperelasticity. Zbl 1390.76399Boscheri, Walter; Dumbser, Michael; Loubère, Raphaël 21 2016 Efficient implementation of high order unstructured WENO schemes for cavitating flows. Zbl 1290.76098Dumbser, Michael; Iben, Uwe; Munz, Claus-Dieter 20 2013 Construction and comparison of parallel implicit kinetic solvers in three spatial dimensions. Zbl 1349.76741Titarev, Vladimir; Dumbser, Michael; Utyuzhnikov, Sergey 20 2014 Arbitrary-Lagrangian-Eulerian ADER-WENO finite volume schemes with time-accurate local time stepping for hyperbolic conservation laws. Zbl 1423.76296Dumbser, Michael 19 2014 Linearized acoustic perturbation equations for low Mach number flow with variable density and temperature. Zbl 1261.76049Munz, Claus-Dieter; Dumbser, Michael; Roller, Sabine 18 2007 A diffuse interface method for complex three-dimensional free surface flows. Zbl 1286.76099Dumbser, Michael 17 2013 Semi-implicit numerical modeling of axially symmetric flows in compliant arterial systems. Zbl 1242.92019Casulli, Vincenzo; Dumbser, Michael; Toro, Eleuterio F. 17 2012 Spectral semi-implicit and space-time discontinuous Galerkin methods for the incompressible Navier-Stokes equations on staggered Cartesian grids. Zbl 1432.76157Fambri, Francesco; Dumbser, Michael 17 2016 An efficient semi-implicit finite volume method for axially symmetric compressible flows in compliant tubes. Zbl 1326.76070Dumbser, Michael; Iben, Uwe; Ioriatti, Matteo 16 2015 High order cell-centered Lagrangian-type finite volume schemes with time-accurate local time stepping on unstructured triangular meshes. Zbl 1349.76311Boscheri, Walter; Dumbser, Michael; Zanotti, Olindo 15 2015 Direct arbitrary-Lagrangian-Eulerian finite volume schemes on moving nonconforming unstructured meshes. Zbl 1390.76433Gaburro, Elena; Dumbser, Michael; Castro, Manuel J. 15 2017 A second-order cell-centered Lagrangian ADER-MOOD finite volume scheme on multidimensional unstructured meshes for hydrodynamics. Zbl 1381.76212Boscheri, Walter; Dumbser, Michael; Loubère, Raphaël; Maire, Pierre-Henri 14 2018 Three-dimensional flow evolution after a dam break. Zbl 1205.76228Ferrari, A.; Fraccarollo, L.; Dumbser, M.; Toro, E. F.; Armanini, A. 14 2010 An efficient quadrature-free formulation for high order arbitrary-Lagrangian-Eulerian ADER-WENO finite volume schemes on unstructured meshes. Zbl 1338.65219Boscheri, Walter; Dumbser, Michael 14 2016 A simple two-phase method for the simulation of complex free surface flows. Zbl 1225.76210Dumbser, Michael 14 2011 A space-time discontinuous Galerkin method for Boussinesq-type equations. Zbl 1410.76167Dumbser, M.; Facchini, M. 13 2016 Efficient high order accurate staggered semi-implicit discontinuous Galerkin methods for natural convection problems. Zbl 07157294Busto, S.; Tavelli, M.; Boscheri, W.; Dumbser, M. 13 2020 High-order unstructured one-step \(P_{N}P_{M}\) schemes for the viscous and resistive MHD equations. Zbl 1231.76345Dumbser, M.; Balsara, D. S. 12 2009 A high order special relativistic hydrodynamic and magnetohydrodynamic code with space-time adaptive mesh refinement. Zbl 1344.76058Zanotti, Olindo; Dumbser, Michael 12 2015 High order accurate direct arbitrary-Lagrangian-Eulerian ADER-WENO finite volume schemes on moving curvilinear unstructured meshes. Zbl 1390.76398Boscheri, Walter; Dumbser, Michael 12 2016 Efficient implementation of ADER discontinuous Galerkin schemes for a scalable hyperbolic PDE engine. Zbl 1434.65179Dumbser, Michael; Fambri, Francesco; Tavelli, Maurizio; Bader, Michael; Weinzierl, Tobias 10 2018 Staggered discontinuous Galerkin methods for the incompressible Navier-Stokes equations: spectral analysis and computational results. Zbl 06986989Dumbser, M.; Fambri, F.; Furci, I.; Mazza, M.; Serra-Capizzano, S.; Tavelli, M. 10 2018 A well balanced diffuse interface method for complex nonhydrostatic free surface flows. Zbl 1410.76224Gaburro, Elena; Castro, Manuel J.; Dumbser, Michael 10 2018 A two-dimensional Riemann solver with self-similar sub-structure - alternative formulation based on least squares projection. Zbl 1349.76157Balsara, Dinshaw S.; Vides, Jeaniffer; Gurski, Katharine; Nkonga, Boniface; Dumbser, Michael; Garain, Sudip; Audit, Edouard 9 2016 A simple diffuse interface approach for compressible flows around moving solids of arbitrary shape based on a reduced Baer-Nunziato model. Zbl 07200216Kemm, Friedemann; Gaburro, Elena; Thein, Ferdinand; Dumbser, Michael 9 2020 A hyperbolic reformulation of the Serre-Green-Naghdi model for general bottom topographies. Zbl 07335348Bassi, C.; Bonaventura, L.; Busto, S.; Dumbser, M. 9 2020 A novel solver for the generalized Riemann problem based on a simplified LeFloch-Raviart expansion and a local space-time discontinuous Galerkin formulation. Zbl 1368.65155Goetz, Claus R.; Dumbser, Michael 8 2016 Theoretical and numerical comparison of hyperelastic and hypoelastic formulations for Eulerian non-linear elastoplasticity. Zbl 1452.74022Peshkov, Ilya; Boscheri, Walter; Loubère, Raphaël; Romenski, Evgeniy; Dumbser, Michael 8 2019 An efficient hyperbolic relaxation system for dispersive non-hydrostatic water waves and its solution with high order discontinuous Galerkin schemes. Zbl 1452.65188Escalante, C.; Dumbser, M.; Castro, M. J. 8 2019 On high order ADER discontinuous Galerkin schemes for first order hyperbolic reformulations of nonlinear dispersive systems. Zbl 1465.76060Busto, Saray; Dumbser, Michael; Escalante, Cipriano; Favrie, Nicolas; Gavrilyuk, Sergey 8 2021 A new stable version of the SPH method in Lagrangian coordinates. Zbl 1364.76175Ferrari, A.; Dumbser, M.; Toro, E. F.; Armanini, A. 7 2008 A family of HLL-type solvers for the generalized Riemann problem. Zbl 1410.76228Goetz, Claus R.; Balsara, Dinshaw S.; Dumbser, Michael 7 2018 High resolution methods for scalar transport problems in compliant systems of arteries. Zbl 1302.76134Tavelli, M.; Dumbser, Michael; Casulli, V. 6 2013 A novel numerical method of high-order accuracy for flow in unsaturated porous media. Zbl 1242.76188Zambra, C. E.; Dumbser, M.; Toro, E. F.; Moraga, N. O. 6 2012 Arbitrary high order accurate space-time discontinuous Galerkin finite element schemes on staggered unstructured meshes for linear elasticity. Zbl 1406.74647Tavelli, Maurizio; Dumbser, Michael 6 2018 On source terms and boundary conditions using arbitrary high order discontinuous Galerkin schemes. Zbl 1159.35305Dumbser, Michael; Munz, Claus-Dieter 6 2007 Semi-implicit discontinuous Galerkin methods for the incompressible Navier-Stokes equations on adaptive staggered Cartesian grids. Zbl 1439.76066Fambri, Francesco; Dumbser, Michael 5 2017 ADER-DG with a-posteriori finite-volume limiting to simulate tsunamis in a parallel adaptive mesh refinement framework. Zbl 1410.86006Rannabauer, Leonhard; Dumbser, Michael; Bader, Michael 5 2018 A unified hyperbolic formulation for viscous fluids and elastoplastic solids. Zbl 1417.35191Dumbser, Michael; Peshkov, Ilya; Romenski, Evgeniy 5 2018 Semi-implicit staggered discontinuous Galerkin schemes for axially symmetric viscous compressible flows in elastic tubes. Zbl 1390.76322Ioriatti, Matteo; Dumbser, Michael 5 2018 On thermodynamically compatible finite volume methods and path-conservative ADER discontinuous Galerkin schemes for turbulent shallow water flows. Zbl 07384714Busto, Saray; Dumbser, Michael; Gavrilyuk, Sergey; Ivanova, Kseniya 5 2021 A path-conservative Osher-type scheme for axially symmetric compressible flows in flexible visco-elastic tubes. Zbl 1381.76219Leibinger, Julia; Dumbser, Michael; Iben, Uwe; Wayand, Isabell 4 2016 Calculation of low Mach number acoustics: a comparison of MPV, EIF and linearized Euler equations. Zbl 1130.76072Roller, Sabine; Schwartzkopff, Thomas; Fortenbach, Roland; Dumbser, Michael; Munz, Claus-Dieter 4 2005 A posteriori sub-cell finite volume limiting of staggered semi-implicit discontinuous Galerkin schemes for the shallow water equations. Zbl 1403.76046Ioriatti, Matteo; Dumbser, Michael 4 2019 Implicit multiblock method for solving a kinetic equation on unstructured meshes. Zbl 1299.76222Dumbser, M.; Titarev, V. A.; Utyuzhnikov, S. V. 3 2013 A path-conservative finite volume scheme for compressible multi-phase flows with surface tension. Zbl 1410.76463Nguyen, Nguyen T.; Dumbser, Michael 3 2015 On high order ADER discontinuous Galerkin schemes for first order hyperbolic reformulations of nonlinear dispersive systems. Zbl 1465.76060Busto, Saray; Dumbser, Michael; Escalante, Cipriano; Favrie, Nicolas; Gavrilyuk, Sergey 8 2021 On thermodynamically compatible finite volume methods and path-conservative ADER discontinuous Galerkin schemes for turbulent shallow water flows. Zbl 07384714Busto, Saray; Dumbser, Michael; Gavrilyuk, Sergey; Ivanova, Kseniya 5 2021 A semi-implicit hybrid finite volume/finite element scheme for all Mach number flows on staggered unstructured meshes. Zbl 07423581Busto, S.; Río-Martín, L.; Vázquez-Cendón, M. E.; Dumbser, M. 3 2021 Arbitrary high order central non-oscillatory schemes on mixed-element unstructured meshes. Zbl 07426260Tsoutsanis, Panagiotis; Dumbser, Michael 3 2021 A posteriori subcell finite volume limiter for general \(P_NP_M\) schemes: applications from gasdynamics to relativistic magnetohydrodynamics. Zbl 1475.65091Gaburro, Elena; Dumbser, Michael 2 2021 An alternative SPH formulation: ADER-WENO-SPH. Zbl 07415027Avesani, Diego; Dumbser, Michael; Vacondio, Renato; Righetti, Maurizio 1 2021 Efficient high order accurate staggered semi-implicit discontinuous Galerkin methods for natural convection problems. Zbl 07157294Busto, S.; Tavelli, M.; Boscheri, W.; Dumbser, M. 13 2020 A simple diffuse interface approach for compressible flows around moving solids of arbitrary shape based on a reduced Baer-Nunziato model. Zbl 07200216Kemm, Friedemann; Gaburro, Elena; Thein, Ferdinand; Dumbser, Michael 9 2020 A hyperbolic reformulation of the Serre-Green-Naghdi model for general bottom topographies. Zbl 07335348Bassi, C.; Bonaventura, L.; Busto, S.; Dumbser, M. 9 2020 High order ADER-DG schemes for the simulation of linear seismic waves induced by nonlinear dispersive free-surface water waves. Zbl 1447.74042Bassi, C.; Busto, S.; Dumbser, M. 3 2020 A new continuum model for general relativistic viscous heat-conducting media. Zbl 1462.82032Romenski, E.; Peshkov, I.; Dumbser, M.; Fambri, F. 2 2020 On GLM curl cleaning for a first order reduction of the CCZ4 formulation of the Einstein field equations. Zbl 1453.85002Dumbser, Michael; Fambri, Francesco; Gaburro, Elena; Reinarz, Anne 2 2020 Modeling wavefields in saturated elastic porous media based on thermodynamically compatible system theory for two-phase solid-fluid mixtures. Zbl 07211859Romenski, Evgeniy; Reshetova, Galina; Peshkov, Ilya; Dumbser, Michael 2 2020 Theoretical and numerical comparison of hyperelastic and hypoelastic formulations for Eulerian non-linear elastoplasticity. Zbl 1452.74022Peshkov, Ilya; Boscheri, Walter; Loubère, Raphaël; Romenski, Evgeniy; Dumbser, Michael 8 2019 An efficient hyperbolic relaxation system for dispersive non-hydrostatic water waves and its solution with high order discontinuous Galerkin schemes. Zbl 1452.65188Escalante, C.; Dumbser, M.; Castro, M. J. 8 2019 A posteriori sub-cell finite volume limiting of staggered semi-implicit discontinuous Galerkin schemes for the shallow water equations. Zbl 1403.76046Ioriatti, Matteo; Dumbser, Michael 4 2019 A simple diffuse interface approach on adaptive Cartesian grids for the linear elastic wave equations with complex topography. Zbl 1452.74113Tavelli, Maurizio; Dumbser, Michael; Charrier, Dominic Etienne; Rannabauer, Leonhard; Weinzierl, Tobias; Bader, Michael 3 2019 Central WENO subcell finite volume limiters for ADER discontinuous Galerkin schemes on fixed and moving unstructured meshes. Zbl 1474.65307Boscheri, Walter; Semplice, Matteo; Dumbser, Michael 2 2019 FORCE schemes on moving unstructured meshes for hyperbolic systems. Zbl 1442.65191Boscheri, Walter; Dumbser, Michael; Righetti, Maurizio 1 2019 A second-order cell-centered Lagrangian ADER-MOOD finite volume scheme on multidimensional unstructured meshes for hydrodynamics. Zbl 1381.76212Boscheri, Walter; Dumbser, Michael; Loubère, Raphaël; Maire, Pierre-Henri 14 2018 Efficient implementation of ADER discontinuous Galerkin schemes for a scalable hyperbolic PDE engine. Zbl 1434.65179Dumbser, Michael; Fambri, Francesco; Tavelli, Maurizio; Bader, Michael; Weinzierl, Tobias 10 2018 Staggered discontinuous Galerkin methods for the incompressible Navier-Stokes equations: spectral analysis and computational results. Zbl 06986989Dumbser, M.; Fambri, F.; Furci, I.; Mazza, M.; Serra-Capizzano, S.; Tavelli, M. 10 2018 A well balanced diffuse interface method for complex nonhydrostatic free surface flows. Zbl 1410.76224Gaburro, Elena; Castro, Manuel J.; Dumbser, Michael 10 2018 A family of HLL-type solvers for the generalized Riemann problem. Zbl 1410.76228Goetz, Claus R.; Balsara, Dinshaw S.; Dumbser, Michael 7 2018 Arbitrary high order accurate space-time discontinuous Galerkin finite element schemes on staggered unstructured meshes for linear elasticity. Zbl 1406.74647Tavelli, Maurizio; Dumbser, Michael 6 2018 ADER-DG with a-posteriori finite-volume limiting to simulate tsunamis in a parallel adaptive mesh refinement framework. Zbl 1410.86006Rannabauer, Leonhard; Dumbser, Michael; Bader, Michael 5 2018 A unified hyperbolic formulation for viscous fluids and elastoplastic solids. Zbl 1417.35191Dumbser, Michael; Peshkov, Ilya; Romenski, Evgeniy 5 2018 Semi-implicit staggered discontinuous Galerkin schemes for axially symmetric viscous compressible flows in elastic tubes. Zbl 1390.76322Ioriatti, Matteo; Dumbser, Michael 5 2018 Reprint of: “Direct arbitrary-Lagrangian-Eulerian finite volume schemes on moving nonconforming unstructured meshes”. Zbl 1391.76406Gaburro, Elena; Dumbser, Michael; Castro, Manuel J. 1 2018 Arbitrary-Lagrangian-Eulerian discontinuous Galerkin schemes with a posteriori subcell finite volume limiting on moving unstructured meshes. Zbl 1378.76044Boscheri, Walter; Dumbser, Michael 34 2017 Central weighted ENO schemes for hyperbolic conservation laws on fixed and moving unstructured meshes. Zbl 1377.65115Dumbser, Michael; Boscheri, Walter; Semplice, Matteo; Russo, Giovanni 32 2017 A pressure-based semi-implicit space-time discontinuous Galerkin method on staggered unstructured meshes for the solution of the compressible Navier-Stokes equations at all Mach numbers. Zbl 1376.76028Tavelli, Maurizio; Dumbser, Michael 30 2017 Direct arbitrary-Lagrangian-Eulerian finite volume schemes on moving nonconforming unstructured meshes. Zbl 1390.76433Gaburro, Elena; Dumbser, Michael; Castro, Manuel J. 15 2017 Semi-implicit discontinuous Galerkin methods for the incompressible Navier-Stokes equations on adaptive staggered Cartesian grids. Zbl 1439.76066Fambri, Francesco; Dumbser, Michael 5 2017 A well-balanced path conservative SPH scheme for nonconservative hyperbolic systems with applications to shallow water and multi-phase flows. Zbl 1390.76760Rossi, Giulia; Dumbser, Michael; Armanini, Aronne 3 2017 An alternative smooth particle hydrodynamics formulation to simulate chemotaxis in porous media. Zbl 1360.76210Avesani, Diego; Dumbser, Michael; Chiogna, Gabriele; Bellin, Alberto 2 2017 High order ADER schemes for a unified first order hyperbolic formulation of continuum mechanics: viscous heat-conducting fluids and elastic solids. Zbl 1349.76324Dumbser, Michael; Peshkov, Ilya; Romenski, Evgeniy; Zanotti, Olindo 55 2016 A new efficient formulation of the HLLEM Riemann solver for general conservative and non-conservative hyperbolic systems. Zbl 1349.76603Dumbser, Michael; Balsara, Dinshaw S. 53 2016 A simple robust and accurate a posteriori sub-cell finite volume limiter for the discontinuous Galerkin method on unstructured meshes. Zbl 1349.65447Dumbser, Michael; Loubère, Raphaël 42 2016 A staggered space-time discontinuous Galerkin method for the three-dimensional incompressible Navier-Stokes equations on unstructured tetrahedral meshes. Zbl 1349.76271Tavelli, Maurizio; Dumbser, Michael 30 2016 A conservative, weakly nonlinear semi-implicit finite volume scheme for the compressible Navier-Stokes equations with general equation of state. Zbl 1410.76220Dumbser, Michael; Casulli, Vincenzo 23 2016 Cell centered direct arbitrary-Lagrangian-Eulerian ADER-WENO finite volume schemes for nonlinear hyperelasticity. Zbl 1390.76399Boscheri, Walter; Dumbser, Michael; Loubère, Raphaël 21 2016 Spectral semi-implicit and space-time discontinuous Galerkin methods for the incompressible Navier-Stokes equations on staggered Cartesian grids. Zbl 1432.76157Fambri, Francesco; Dumbser, Michael 17 2016 An efficient quadrature-free formulation for high order arbitrary-Lagrangian-Eulerian ADER-WENO finite volume schemes on unstructured meshes. Zbl 1338.65219Boscheri, Walter; Dumbser, Michael 14 2016 A space-time discontinuous Galerkin method for Boussinesq-type equations. Zbl 1410.76167Dumbser, M.; Facchini, M. 13 2016 High order accurate direct arbitrary-Lagrangian-Eulerian ADER-WENO finite volume schemes on moving curvilinear unstructured meshes. Zbl 1390.76398Boscheri, Walter; Dumbser, Michael 12 2016 A two-dimensional Riemann solver with self-similar sub-structure - alternative formulation based on least squares projection. Zbl 1349.76157Balsara, Dinshaw S.; Vides, Jeaniffer; Gurski, Katharine; Nkonga, Boniface; Dumbser, Michael; Garain, Sudip; Audit, Edouard 9 2016 A novel solver for the generalized Riemann problem based on a simplified LeFloch-Raviart expansion and a local space-time discontinuous Galerkin formulation. Zbl 1368.65155Goetz, Claus R.; Dumbser, Michael 8 2016 A path-conservative Osher-type scheme for axially symmetric compressible flows in flexible visco-elastic tubes. Zbl 1381.76219Leibinger, Julia; Dumbser, Michael; Iben, Uwe; Wayand, Isabell 4 2016 Space-time adaptive ADER discontinuous Galerkin finite element schemes with a posteriori sub-cell finite volume limiting. Zbl 1390.76381Zanotti, Olindo; Fambri, Francesco; Dumbser, Michael; Hidalgo, Arturo 45 2015 Divergence-free MHD on unstructured meshes using high order finite volume schemes based on multidimensional Riemann solvers. Zbl 1351.76092Balsara, Dinshaw S.; Dumbser, Michael 35 2015 Multidimensional Riemann problem with self-similar internal structure. Part II: Application to hyperbolic conservation laws on unstructured meshes. Zbl 1351.76091Balsara, Dinshaw S.; Dumbser, Michael 33 2015 Direct arbitrary-Lagrangian-Eulerian ADER-MOOD finite volume schemes for multidimensional hyperbolic conservation laws. Zbl 1349.76312Boscheri, Walter; Loubère, Raphaël; Dumbser, Michael 25 2015 A staggered space-time discontinuous Galerkin method for the incompressible Navier-Stokes equations on two-dimensional triangular meshes. Zbl 1390.76360Tavelli, Maurizio; Dumbser, Michael 22 2015 An efficient semi-implicit finite volume method for axially symmetric compressible flows in compliant tubes. Zbl 1326.76070Dumbser, Michael; Iben, Uwe; Ioriatti, Matteo 16 2015 High order cell-centered Lagrangian-type finite volume schemes with time-accurate local time stepping on unstructured triangular meshes. Zbl 1349.76311Boscheri, Walter; Dumbser, Michael; Zanotti, Olindo 15 2015 A high order special relativistic hydrodynamic and magnetohydrodynamic code with space-time adaptive mesh refinement. Zbl 1344.76058Zanotti, Olindo; Dumbser, Michael 12 2015 A path-conservative finite volume scheme for compressible multi-phase flows with surface tension. Zbl 1410.76463Nguyen, Nguyen T.; Dumbser, Michael 3 2015 A posteriori subcell limiting of the discontinuous Galerkin finite element method for hyperbolic conservation laws. Zbl 1349.65448Dumbser, Michael; Zanotti, Olindo; Loubère, Raphaël; Diot, Steven 121 2014 A direct arbitrary-Lagrangian-Eulerian ADER-WENO finite volume scheme on unstructured tetrahedral meshes for conservative and non-conservative hyperbolic systems in 3D. Zbl 1349.76310Boscheri, Walter; Dumbser, Michael 64 2014 Multidimensional HLLC Riemann solver for unstructured meshes – with application to Euler and MHD flows. Zbl 1349.76426Balsara, Dinshaw S.; Dumbser, Michael; Abgrall, Remi 62 2014 A new family of high order unstructured MOOD and ADER finite volume schemes for multidimensional systems of hyperbolic conservation laws. Zbl 1373.76137Loubère, Raphaël; Dumbser, Michael; Diot, Steven 49 2014 High order space-time adaptive ADER-WENO finite volume schemes for non-conservative hyperbolic systems. Zbl 1295.65088Dumbser, Michael; Hidalgo, Arturo; Zanotti, Olindo 37 2014 Lagrangian ADER-WENO finite volume schemes on unstructured triangular meshes based on genuinely multidimensional HLL Riemann solvers. Zbl 1349.76309Boscheri, Walter; Balsara, Dinshaw S.; Dumbser, Michael 36 2014 A high order semi-implicit discontinuous Galerkin method for the two dimensional shallow water equations on staggered unstructured meshes. Zbl 1298.76120Tavelli, Maurizio; Dumbser, Michael 33 2014 A new class of moving-least-squares WENO-SPH schemes. Zbl 1349.76661Avesani, Diego; Dumbser, Michael; Bellin, Alberto 28 2014 A staggered semi-implicit discontinuous Galerkin method for the two dimensional incompressible Navier-Stokes equations. Zbl 1338.76068Tavelli, Maurizio; Dumbser, Michael 27 2014 Construction and comparison of parallel implicit kinetic solvers in three spatial dimensions. Zbl 1349.76741Titarev, Vladimir; Dumbser, Michael; Utyuzhnikov, Sergey 20 2014 Arbitrary-Lagrangian-Eulerian ADER-WENO finite volume schemes with time-accurate local time stepping for hyperbolic conservation laws. Zbl 1423.76296Dumbser, Michael 19 2014 ADER-WENO finite volume schemes with space-time adaptive mesh refinement. Zbl 1349.76325Dumbser, Michael; Zanotti, Olindo; Hidalgo, Arturo; Balsara, Dinshaw S. 73 2013 Efficient implementation of ADER schemes for Euler and magnetohydrodynamical flows on structured meshes – speed comparisons with Runge-Kutta methods. Zbl 1291.76237Balsara, Dinshaw S.; Meyer, Chad; Dumbser, Michael; Du, Huijing; Xu, Zhiliang 67 2013 High-order unstructured Lagrangian one-step WENO finite volume schemes for non-conservative hyperbolic systems: applications to compressible multi-phase flows. Zbl 1290.76081Dumbser, Michael; Boscheri, Walter 38 2013 Arbitrary-Lagrangian-Eulerian one-step WENO finite volume schemes on unstructured triangular meshes. Zbl 1388.65075Boscheri, Walter; Dumbser, Michael 38 2013 A staggered semi-implicit spectral discontinuous Galerkin scheme for the shallow water equations. Zbl 1366.76050Dumbser, Michael; Casulli, Vincenzo 31 2013 On arbitrary-Lagrangian-Eulerian one-step WENO schemes for stiff hyperbolic balance laws. Zbl 1373.76126Dumbser, Michael; Uuriintsetseg, Ariunaa; Zanotti, Olindo 22 2013 Efficient implementation of high order unstructured WENO schemes for cavitating flows. Zbl 1290.76098Dumbser, Michael; Iben, Uwe; Munz, Claus-Dieter 20 2013 A diffuse interface method for complex three-dimensional free surface flows. Zbl 1286.76099Dumbser, Michael 17 2013 High resolution methods for scalar transport problems in compliant systems of arteries. Zbl 1302.76134Tavelli, M.; Dumbser, Michael; Casulli, V. 6 2013 Implicit multiblock method for solving a kinetic equation on unstructured meshes. Zbl 1299.76222Dumbser, M.; Titarev, V. A.; Utyuzhnikov, S. V. 3 2013 High-order finite volume schemes based on defect corrections. Zbl 1275.65052Filimon, Alexander; Dumbser, Michael; Munz, Claus-Dieter 2 2013 A semi-implicit scheme for 3D free surface flows with high-order velocity reconstruction on unstructured Voronoi meshes. Zbl 1455.76104Boscheri, Walter; Dumbser, M.; Righetti, M. 2 2013 Comparison of solvers for the generalized Riemann problem for hyperbolic systems with source terms. Zbl 1284.35268Montecinos, G.; Castro, C. E.; Dumbser, M.; Toro, E. F. 27 2012 Semi-implicit numerical modeling of axially symmetric flows in compliant arterial systems. Zbl 1242.92019Casulli, Vincenzo; Dumbser, Michael; Toro, Eleuterio F. 17 2012 A novel numerical method of high-order accuracy for flow in unsaturated porous media. Zbl 1242.76188Zambra, C. E.; Dumbser, M.; Toro, E. F.; Moraga, N. O. 6 2012 Discontinuous Galerkin schemes with defect corrections based on reconstruction. Zbl 1365.76114Filimon, Alexander; Dumbser, Michael; Munz, Claus-Dieter 1 2012 A simple extension of the Osher Riemann solver to non-conservative hyperbolic systems. Zbl 1220.65110Dumbser, Michael; Toro, Eleuterio F. 94 2011 On universal Osher-type schemes for general nonlinear hyperbolic conservation laws. Zbl 1373.76125Dumbser, Michael; Toro, Eleuterio F. 70 2011 ADER schemes for nonlinear systems of stiff advection-diffusion-reaction equations. Zbl 1221.65231Hidalgo, Arturo; Dumbser, Michael 52 2011 Explicit one-step time discretizations for discontinuous Galerkin and finite volume schemes based on local predictors. Zbl 1220.65122Gassner, Gregor; Dumbser, Michael; Hindenlang, Florian; Munz, Claus-Dieter 28 2011 A simple two-phase method for the simulation of complex free surface flows. Zbl 1225.76210Dumbser, Michael 14 2011 \(P_N P_M\) schemes on unstructured meshes for time-dependent partial differential equations. Zbl 1358.76039Dumbser, Michael 1 2011 Arbitrary high order \(P_{N}P_{M}\) schemes on unstructured meshes for the compressible Navier-Stokes equations. Zbl 1242.76161Dumbser, Michael 112 2010 FORCE schemes on unstructured meshes. II: Non-conservative hyperbolic systems. Zbl 1227.76043Dumbser, Michael; Hidalgo, Arturo; Castro, Manuel; Parés, Carlos; Toro, Eleuterio F. 64 2010 Three-dimensional flow evolution after a dam break. Zbl 1205.76228Ferrari, A.; Fraccarollo, L.; Dumbser, M.; Toro, E. F.; Armanini, A. 14 2010 Efficient, high accuracy ADER-WENO schemes for hydrodynamics and divergence-free magnetohydrodynamics. Zbl 1275.76169Balsara, Dinshaw S.; Rumpf, Tobias; Dumbser, Michael; Munz, Claus-Dieter 111 2009 ADER schemes on unstructured meshes for nonconservative hyperbolic systems: applications to geophysical flows. Zbl 1177.76222Dumbser, Michael; Castro, Manuel; Parés, Carlos; Toro, Eleuterio F. 92 2009 A new 3D parallel SPH scheme for free surface flows. Zbl 1242.76270Ferrari, Angela; Dumbser, Michael; Toro, Eleuterio F.; Armanini, Aronne 79 2009 Very high order \(P_NP_M\) schemes on unstructured meshes for the resistive relativistic MHD equations. Zbl 1261.76028Dumbser, Michael; Zanotti, Olindo 63 2009 A high-order discontinuous Galerkin method with time-accurate local time stepping for the Maxwell equations. Zbl 1156.78012Taube, Arne; Dumbser, Michael; Munz, Claus-Dieter; Schneider, Rudolf 28 2009 High-order unstructured one-step \(P_{N}P_{M}\) schemes for the viscous and resistive MHD equations. Zbl 1231.76345Dumbser, M.; Balsara, D. S. 12 2009 ...and 22 more Documents all cited Publications top 5 cited Publications all top 5 Cited by 1,812 Authors 117 Dumbser, Michael 48 Toro, Eleuterio F. 38 Qiu, Jianxian 36 Balsara, Dinshaw S. 34 Shu, Chi-Wang 31 Munz, Claus-Dieter 30 Zhu, Jun 29 Boscheri, Walter 24 Loubère, Raphaël 19 Luo, Hong 19 Titarev, Vladimir A. 16 Montecinos, Gino I. 16 Xu, Kun 15 Castro, Manuel J. 14 Clain, Stéphane Louis 14 Gassner, Gregor J. 14 Tavelli, Maurizio 13 Parés Madroñal, Carlos 11 Christlieb, Andrew J. 11 Hidalgo, Arturo 11 Liu, Tiegang 11 Lombard, Bruno 11 Morgan, Nathaniel R. 11 Ren, Yuxin 11 Seal, David C. 11 Semplice, Matteo 10 Busto, Saray 10 Nogueira, Xesús 10 Tsoutsanis, Panagiotis 10 Yan, Chao 9 Abgrall, Rémi 9 Chandrashekar, Praveen 9 Cheng, Jian 9 Deng, Xi 9 Kuzmin, Dmitri 9 Murillo, Javier 9 Pan, Liang 9 Xiao, Feng 8 Dimarco, Giacomo 8 Kim, Chongam 8 Kolev, Tzanio V. 8 Li, Wanai 8 Maire, Pierre-Henri 8 Navas-Montilla, A. 8 Nourgaliev, Robert R. 8 Peshkov, Ilya M. 8 Vázquez-Cendón, María Elena 8 Zanotti, Olindo 7 Adams, Nikolaus A. 7 Daude, Frédéric 7 Drikakis, Dimitris 7 Gaburro, Elena 7 Gallardo, José M. 7 Jiang, Zhenhua 7 Li, Jiequan 7 Lörcher, Frieder 7 Müller, Lucas O. 7 Nkonga, Boniface 7 Romenskii, Evgenii I. 7 Tang, Huazhong 7 Tokareva, Svetlana A. 7 Tomov, Vladimir Z. 6 Antuono, Matteo 6 Bader, Michael 6 Bakhvalov, Pavel A. 6 Burton, Donald E. 6 Capdeville, Guy 6 Colominas, Ignasi 6 Fambri, Francesco 6 Galon, Pascal 6 Garain, Sudip K. 6 Guermond, Jean-Luc 6 Ji, Xing 6 Marrone, Salvatore 6 Pareschi, Lorenzo 6 Popov, Boyan 6 Rogers, Benedict D. 6 Shyy, Wei 6 Sun, Di 6 Tang, Qi 6 Vacondio, Renato 6 Xia, Yidong 6 Yu, Jian 6 Zhang, Aman 6 Zhang, Mengping 5 Bai, Junqiang 5 Castro-Díaz, Manuel Jesús 5 Castro, Cristóbal E. 5 Casulli, Vincenzo 5 Cheng, Juan 5 Colagrossi, Andrea 5 Després, Bruno 5 Dobrev, Veselin A. 5 Dolejší, Vít 5 Fernández-Nieto, Enrique Domingo 5 Gabriel, Alice-Agnes 5 Garcia-Navarro, Pilar 5 Grote, Marcus J. 5 Hesthaven, Jan S. 5 Hu, Lijun ...and 1,712 more Authors all top 5 Cited in 104 Serials 444 Journal of Computational Physics 204 Computers and Fluids 103 Journal of Scientific Computing 50 Computer Methods in Applied Mechanics and Engineering 43 Applied Mathematics and Computation 32 Communications in Computational Physics 29 Computers & Mathematics with Applications 28 SIAM Journal on Scientific Computing 26 Applied Numerical Mathematics 14 Applied Mathematical Modelling 12 International Journal for Numerical Methods in Fluids 11 Journal of Computational and Applied Mathematics 9 Advances in Applied Mathematics and Mechanics 8 Journal of Fluid Mechanics 8 M\(^3\)AS. Mathematical Models & Methods in Applied Sciences 8 International Journal of Computational Fluid Dynamics 7 Computer Physics Communications 7 Numerische Mathematik 7 SIAM Journal on Numerical Analysis 7 Computational Mathematics and Mathematical Physics 7 Mathematical Problems in Engineering 6 Computational and Applied Mathematics 6 European Series in Applied and Industrial Mathematics (ESAIM): Mathematical Modelling and Numerical Analysis 6 Communications on Applied Mathematics and Computation 5 Wave Motion 5 Mathematics of Computation 5 AMM. Applied Mathematics and Mechanics. (English Edition) 4 International Journal for Numerical Methods in Engineering 4 Advances in Computational Mathematics 4 European Journal of Mechanics. B. Fluids 4 International Journal of Computational Methods 3 Journal of Mathematical Biology 3 Mathematics and Computers in Simulation 3 Physica D 3 Computational Mechanics 3 Numerical Methods for Partial Differential Equations 3 Engineering Analysis with Boundary Elements 3 ZAMM. Zeitschrift für Angewandte Mathematik und Mechanik 3 Communications in Nonlinear Science and Numerical Simulation 3 International Journal of Applied Mathematics and Computer Science 3 Matematicheskoe Modelirovanie 3 Archives of Computational Methods in Engineering 3 GEM - International Journal on Geomathematics 3 Results in Applied Mathematics 2 Journal of Elasticity 2 ETNA. Electronic Transactions on Numerical Analysis 2 Discrete and Continuous Dynamical Systems 2 Philosophical Transactions of the Royal Society of London. Series A. Mathematical, Physical and Engineering Sciences 2 Computational Geosciences 2 Lobachevskii Journal of Mathematics 2 International Journal of Nonlinear Sciences and Numerical Simulation 2 Acta Numerica 2 Oberwolfach Reports 2 Acta Mechanica Sinica 2 Communications in Applied Mathematics and Computational Science 2 Philosophical Transactions of the Royal Society of London. A. Mathematical, Physical and Engineering Sciences 1 Classical and Quantum Gravity 1 International Journal of Engineering Science 1 Journal of Engineering Mathematics 1 Journal of Mathematical Analysis and Applications 1 Journal of Statistical Physics 1 Nonlinearity 1 Zhurnal Vychislitel’noĭ Matematiki i Matematicheskoĭ Fiziki 1 Chaos, Solitons and Fractals 1 Journal of Approximation Theory 1 Kybernetika 1 Meccanica 1 Quarterly of Applied Mathematics 1 Mathematical and Computer Modelling 1 International Journal of Computer Mathematics 1 SIAM Journal on Applied Mathematics 1 Continuum Mechanics and Thermodynamics 1 Physics of Fluids 1 International Journal of Numerical Methods for Heat & Fluid Flow 1 Russian Journal of Numerical Analysis and Mathematical Modelling 1 Science in China. Series E 1 ELA. The Electronic Journal of Linear Algebra 1 European Series in Applied and Industrial Mathematics (ESAIM): Proceedings 1 Journal of Applied Mechanics and Technical Physics 1 International Journal of Numerical Modelling 1 International Journal of Modern Physics C 1 The ANZIAM Journal 1 Differential Equations 1 Journal of Systems Science and Complexity 1 Computational Methods in Applied Mathematics 1 Sādhanā 1 Bulletin of the Brazilian Mathematical Society. New Series 1 Multiscale Modeling & Simulation 1 Journal of Hyperbolic Differential Equations 1 International Journal of Numerical Analysis and Modeling 1 Waves in Random and Complex Media 1 Inverse Problems in Science and Engineering 1 Kinetic and Related Models 1 Advances in Mathematical Physics 1 International Journal for Numerical Methods in Biomedical Engineering 1 Iranian Journal of Mathematical Sciences and Informatics 1 Journal of Mathematics in Industry 1 Izvestiya Irkutskogo Gosudarstvennogo Universiteta. Seriya Matematika 1 Axioms 1 Journal of Computational Methods in Physics ...and 4 more Serials all top 5 Cited in 29 Fields 908 Fluid mechanics (76-XX) 880 Numerical analysis (65-XX) 372 Partial differential equations (35-XX) 77 Mechanics of deformable solids (74-XX) 33 Geophysics (86-XX) 31 Statistical mechanics, structure of matter (82-XX) 27 Biology and other natural sciences (92-XX) 24 Optics, electromagnetic theory (78-XX) 14 Classical thermodynamics, heat transfer (80-XX) 11 Astronomy and astrophysics (85-XX) 7 Mechanics of particles and systems (70-XX) 7 Relativity and gravitational theory (83-XX) 6 Approximations and expansions (41-XX) 5 General and overarching topics; collections (00-XX) 5 Linear and multilinear algebra; matrix theory (15-XX) 5 Computer science (68-XX) 4 Operations research, mathematical programming (90-XX) 3 Probability theory and stochastic processes (60-XX) 3 Statistics (62-XX) 2 Ordinary differential equations (34-XX) 2 Calculus of variations and optimal control; optimization (49-XX) 2 Game theory, economics, finance, and other social and behavioral sciences (91-XX) 1 Real functions (26-XX) 1 Special functions (33-XX) 1 Harmonic analysis on Euclidean spaces (42-XX) 1 Integral transforms, operational calculus (44-XX) 1 Integral equations (45-XX) 1 Global analysis, analysis on manifolds (58-XX) 1 Quantum theory (81-XX) Citations by Year