Edit Profile Dumbser, Michael Compute Distance To: Compute Author ID: dumbser.michael Published as: Dumbser, M.; Dumbser, Michael External Links: ORCID Documents Indexed: 128 Publications since 2003, including 1 Book all top 5 Co-Authors 7 single-authored 23 Munz, Claus-Dieter 16 Boscheri, Walter 15 Toro, Eleuterio F. 14 Balsara, Dinshaw S. 11 Tavelli, Maurizio 10 Zanotti, Olindo 8 Loubère, Raphaël 6 Castro, Manuel J. 6 Fambri, Francesco 6 Hidalgo, Arturo 5 Gaburro, Elena 5 Gassner, Gregor J. 4 Armanini, Aronne 4 Casulli, Vincenzo 4 Ioriatti, Matteo 4 Peshkov, Ilya M. 4 Romenskii, Evgenii I. 4 Titarev, Vladimir A. 3 Bader, Michael 3 Busto, Saray 3 Ferrari, Angela 3 Filimon, Alexander 3 Iben, Uwe 3 Käser, Martin 3 Roller, Sabine 3 Schwartzkopff, Thomas 2 Avesani, Diego 2 Bassi, Caterina 2 Bellin, Alberto 2 Diot, Steven 2 Fortenbach, Roland 2 Goetz, Claus R. 2 Hindenlang, Florian J. 2 Parés Madroñal, Carlos 2 Qiu, Jianxian 2 Rannabauer, Leonhard 2 Righetti, Maurizio 2 Shu, Chi-Wang 2 Taube, Arne 2 Utyuzhnikov, Sergey V. 2 Utzmann, Jens 2 Weinzierl, Tobias 1 Abgrall, Rémi 1 Altmann, Christoph 1 Audit, Edouard 1 Babucke, Andreas 1 Bankole, Adeleke O. 1 Bonaventura, Luca 1 Castro, Cristóbal E. 1 Charrier, Dominic Etienne 1 Chiogna, Gabriele 1 Després, Bruno 1 Du, Huijing 1 Enaux, Cedric 1 Escalante, C. 1 Facchini, M. 1 Fraccarollo, Luigi 1 Furci, Isabella 1 Garain, Sudip K. 1 Gressier, Jérémie 1 Gurski, Katharine F. 1 Iske, Armin 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 Moschetta, Jean-Marc 1 Nguyen, Nguyen T. 1 Nkonga, Boniface 1 Reinarz, Anne 1 Reshetova, Galina Vitalevna 1 Rohde, Christian 1 Rossi, Giulia 1 Rumpf, Tobias 1 Rung, Thomas 1 Russo, Giovanni 1 Salmon, Stéphanie 1 Saurel, Richard 1 Schneider, Rudolf 1 Semplice, Matteo 1 Serra-Capizzano, Stefano 1 Sonnendrücker, Eric 1 Thein, Ferdinand 1 Torrilhon, Manuel 1 Uuriintsetseg, Ariunaa 1 Vides, Jeaniffer 1 Wayand, Isabell 1 Xu, Zhiliang 1 Zambra, C. E. 1 Zhu, Jun 1 Zucchini, M. all top 5 Serials 39 Journal of Computational Physics 22 Computers and Fluids 7 Computer Methods in Applied Mechanics and Engineering 7 Applied Mathematics and Computation 7 Journal of Scientific Computing 6 Applied Numerical Mathematics 5 Communications in Computational Physics 2 European Series in Applied and Industrial Mathematics (ESAIM): Proceedings 2 Comptes Rendus. Mécanique. Académie des Sciences, Paris 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 SIAM Journal on Scientific Computing 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 Oberwolfach Reports 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 Axioms all top 5 Fields 104 Fluid mechanics (76-XX) 92 Numerical analysis (65-XX) 28 Partial differential equations (35-XX) 12 Mechanics of deformable solids (74-XX) 5 Geophysics (86-XX) 4 General and overarching topics; collections (00-XX) 3 Astronomy and astrophysics (85-XX) 3 Biology and other natural sciences (92-XX) 2 Optics, electromagnetic theory (78-XX) 1 Global analysis, analysis on manifolds (58-XX) 1 Classical thermodynamics, heat transfer (80-XX) 1 Relativity and gravitational theory (83-XX) Publications by Year all cited Publications top 5 cited Publications Citations contained in zbMATH Open 103 Publications have been cited 3,001 times in 1,011 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 200 2008 Arbitrary high order non-oscillatory finite volume schemes on unstructured meshes for linear hyperbolic systems. Zbl 1110.65077Dumbser, Michael; Käser, Martin 164 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. 121 2007 Finite volume schemes of very high order of accuracy for stiff hyperbolic balance laws. Zbl 1142.65070Dumbser, Michael; Enaux, Cedric; Toro, Eleuterio F. 107 2008 Efficient, high accuracy ADER-WENO schemes for hydrodynamics and divergence-free magnetohydrodynamics. Zbl 1275.76169Balsara, Dinshaw S.; Rumpf, Tobias; Dumbser, Michael; Munz, Claus-Dieter 96 2009 Arbitrary high order \(P_{N}P_{M}\) schemes on unstructured meshes for the compressible Navier-Stokes equations. Zbl 1242.76161Dumbser, Michael 94 2010 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 92 2014 Runge-Kutta discontinuous Galerkin method using WENO limiters II: Unstructured meshes. Zbl 1157.65453Zhu, Jun; Qiu, Jianxian; Shu, Chi-Wang; Dumbser, Michael 81 2008 ADER schemes on unstructured meshes for nonconservative hyperbolic systems: applications to geophysical flows. Zbl 1177.76222Dumbser, Michael; Castro, Manuel; Parés, Carlos; Toro, Eleuterio F. 79 2009 A simple extension of the Osher Riemann solver to non-conservative hyperbolic systems. Zbl 1220.65110Dumbser, Michael; Toro, Eleuterio F. 77 2011 A new 3D parallel SPH scheme for free surface flows. Zbl 1242.76270Ferrari, Angela; Dumbser, Michael; Toro, Eleuterio F.; Armanini, Aronne 68 2009 ADER-WENO finite volume schemes with space-time adaptive mesh refinement. Zbl 1349.76325Dumbser, Michael; Zanotti, Olindo; Hidalgo, Arturo; Balsara, Dinshaw S. 66 2013 Building blocks for arbitrary high order discontinuous Galerkin schemes. Zbl 1115.65100Dumbser, Michael; Munz, Claus-Dieter 64 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 62 2013 On universal Osher-type schemes for general nonlinear hyperbolic conservation laws. Zbl 1373.76125Dumbser, Michael; Toro, Eleuterio F. 58 2011 FORCE schemes on unstructured meshes. II: Non-conservative hyperbolic systems. Zbl 1227.76043Dumbser, Michael; Hidalgo, Arturo; Castro, Manuel; Parés, Carlos; Toro, Eleuterio F. 56 2010 Multidimensional HLLC Riemann solver for unstructured meshes – with application to Euler and MHD flows. Zbl 1349.76426Balsara, Dinshaw S.; Dumbser, Michael; Abgrall, Remi 55 2014 Very high order \(P_NP_M\) schemes on unstructured meshes for the resistive relativistic MHD equations. Zbl 1261.76028Dumbser, Michael; Zanotti, Olindo 55 2009 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 53 2014 The discontinuous Galerkin method with Lax–Wendroff type time discretizations. Zbl 1093.76038Qiu, Jianxian; Dumbser, Michael; Shu, Chi-Wang 51 2005 ADER schemes for nonlinear systems of stiff advection-diffusion-reaction equations. Zbl 1221.65231Hidalgo, Arturo; Dumbser, Michael 46 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 43 2014 A new efficient formulation of the HLLEM Riemann solver for general conservative and non-conservative hyperbolic systems. Zbl 1349.76603Dumbser, Michael; Balsara, Dinshaw S. 41 2016 Fast high order ADER schemes for linear hyperbolic equations. Zbl 1052.65078Schwartzkopff, Thomas; Dumbser, Michael; Munz, Claus-Dieter 41 2004 FORCE schemes on unstructured meshes. I: Conservative hyperbolic systems. Zbl 1168.65377Toro, Eleuterio F.; Hidalgo, Arturo; Dumbser, Michael 39 2008 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 37 2007 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 36 2016 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 35 2013 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 34 2015 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 33 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 31 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 31 2015 High order space-time adaptive ADER-WENO finite volume schemes for non-conservative hyperbolic systems. Zbl 1295.65088Dumbser, Michael; Hidalgo, Arturo; Zanotti, Olindo 31 2014 ADER discontinuous Galerkin schemes for aeroacoustics. Zbl 1107.76044Dumbser, Michael; Munz, Claus-Dieter 29 2005 A staggered semi-implicit spectral discontinuous Galerkin scheme for the shallow water equations. Zbl 1366.76050Dumbser, Michael; Casulli, Vincenzo 28 2013 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 A matrix stability analysis of the carbuncle phenomenon. Zbl 1079.76607Dumbser, Michael; Moschetta, Jean-Marc; Gressier, Jérémie 28 2004 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 27 2014 Arbitrary-Lagrangian-Eulerian one-step WENO finite volume schemes on unstructured triangular meshes. Zbl 1388.65075Boscheri, Walter; Dumbser, Michael 26 2013 A staggered semi-implicit discontinuous Galerkin method for the two dimensional incompressible Navier-Stokes equations. Zbl 1338.76068Tavelli, Maurizio; Dumbser, Michael 25 2014 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. 25 2012 Arbitrary-Lagrangian-Eulerian discontinuous Galerkin schemes with a posteriori subcell finite volume limiting on moving unstructured meshes. Zbl 1378.76044Boscheri, Walter; Dumbser, Michael 24 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 24 2016 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 23 2011 Arbitrary high-order discontinuous Galerkin schemes for the magnetohydrodynamic equations. Zbl 1176.76075Taube, Arne; Dumbser, Michael; Balsara, Dinshaw S.; Munz, Claus-Dieter 23 2007 Arbitrary high order discontinuous Galerkin schemes. Zbl 1210.65165Dumbser, M.; Munz, C.-D. 23 2005 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 21 2016 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 20 2017 Direct arbitrary-Lagrangian-Eulerian ADER-MOOD finite volume schemes for multidimensional hyperbolic conservation laws. Zbl 1349.76312Boscheri, Walter; Loubère, Raphaël; Dumbser, Michael 20 2015 Efficient implementation of high order unstructured WENO schemes for cavitating flows. Zbl 1290.76098Dumbser, Michael; Iben, Uwe; Munz, Claus-Dieter 20 2013 A new class of moving-least-squares WENO-SPH schemes. Zbl 1349.76661Avesani, Diego; Dumbser, Michael; Bellin, Alberto 19 2014 On arbitrary-Lagrangian-Eulerian one-step WENO schemes for stiff hyperbolic balance laws. Zbl 1373.76126Dumbser, Michael; Uuriintsetseg, Ariunaa; Zanotti, Olindo 19 2013 Cell centered direct arbitrary-Lagrangian-Eulerian ADER-WENO finite volume schemes for nonlinear hyperelasticity. Zbl 1390.76399Boscheri, Walter; Dumbser, Michael; Loubère, Raphaël 17 2016 A staggered space-time discontinuous Galerkin method for the incompressible Navier-Stokes equations on two-dimensional triangular meshes. Zbl 1390.76360Tavelli, Maurizio; Dumbser, Michael 17 2015 Central weighted ENO schemes for hyperbolic conservation laws on fixed and moving unstructured meshes. Zbl 1377.65115Dumbser, Michael; Boscheri, Walter; Semplice, Matteo; Russo, Giovanni 16 2017 Semi-implicit numerical modeling of axially symmetric flows in compliant arterial systems. Zbl 1242.92019Casulli, Vincenzo; Dumbser, Michael; Toro, Eleuterio F. 16 2012 Linearized acoustic perturbation equations for low Mach number flow with variable density and temperature. Zbl 1261.76049Munz, Claus-Dieter; Dumbser, Michael; Roller, Sabine 16 2007 Arbitrary-Lagrangian-Eulerian ADER-WENO finite volume schemes with time-accurate local time stepping for hyperbolic conservation laws. Zbl 1423.76296Dumbser, Michael 15 2014 Construction and comparison of parallel implicit kinetic solvers in three spatial dimensions. Zbl 1349.76741Titarev, Vladimir; Dumbser, Michael; Utyuzhnikov, Sergey 14 2014 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 13 2016 An efficient semi-implicit finite volume method for axially symmetric compressible flows in compliant tubes. Zbl 1326.76070Dumbser, Michael; Iben, Uwe; Ioriatti, Matteo 13 2015 A simple two-phase method for the simulation of complex free surface flows. Zbl 1225.76210Dumbser, Michael 13 2011 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 12 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 12 2016 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 12 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 diffuse interface method for complex three-dimensional free surface flows. Zbl 1286.76099Dumbser, Michael 12 2013 Three-dimensional flow evolution after a dam break. Zbl 1205.76228Ferrari, A.; Fraccarollo, L.; Dumbser, M.; Toro, E. F.; Armanini, A. 12 2010 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 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 10 2018 A space-time discontinuous Galerkin method for Boussinesq-type equations. Zbl 1410.76167Dumbser, M.; Facchini, M. 9 2016 High order accurate direct arbitrary-Lagrangian-Eulerian ADER-WENO finite volume schemes on moving curvilinear unstructured meshes. Zbl 1390.76398Boscheri, Walter; Dumbser, Michael 9 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 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. 8 2018 Direct arbitrary-Lagrangian-Eulerian finite volume schemes on moving nonconforming unstructured meshes. Zbl 1390.76433Gaburro, Elena; Dumbser, Michael; Castro, Manuel J. 8 2017 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 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 6 2016 High resolution methods for scalar transport problems in compliant systems of arteries. Zbl 1302.76134Tavelli, M.; Dumbser, Michael; Casulli, V. 6 2013 Heterogeneous domain decomposition for numerical aeroacoustics. Zbl 1298.76122Utzmann, Jens; Schwartzkopff, Thomas; Dumbser, Michael; Munz, Claus-Dieter 6 2006 Efficient high order accurate staggered semi-implicit discontinuous Galerkin methods for natural convection problems. Zbl 07157294Busto, S.; Tavelli, M.; Boscheri, W.; Dumbser, M. 5 2020 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. 5 2012 On source terms and boundary conditions using arbitrary high order discontinuous Galerkin schemes. Zbl 1159.35305Dumbser, Michael; Munz, Claus-Dieter 5 2007 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 4 2018 A well balanced diffuse interface method for complex nonhydrostatic free surface flows. Zbl 1410.76224Gaburro, Elena; Castro, Manuel J.; Dumbser, Michael 4 2018 A family of HLL-type solvers for the generalized Riemann problem. Zbl 1410.76228Goetz, Claus R.; Balsara, Dinshaw S.; Dumbser, Michael 4 2018 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 Arbitrary high order accurate space-time discontinuous Galerkin finite element schemes on staggered unstructured meshes for linear elasticity. Zbl 1406.74647Tavelli, Maurizio; Dumbser, Michael 3 2018 Semi-implicit staggered discontinuous Galerkin schemes for axially symmetric viscous compressible flows in elastic tubes. Zbl 1390.76322Ioriatti, Matteo; Dumbser, Michael 3 2018 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 3 2016 A path-conservative finite volume scheme for compressible multi-phase flows with surface tension. Zbl 1410.76463Nguyen, Nguyen T.; Dumbser, Michael 3 2015 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 Multiple-scale modelling of acoustic sources in low Mach-number flow. Zbl 1204.76032Munz, Claus-Dieter; Fortenbach, Roland; Dumbser, Michael 2 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 1 2019 A unified hyperbolic formulation for viscous fluids and elastoplastic solids. Zbl 1417.35191Dumbser, Michael; Peshkov, Ilya; Romenski, Evgeniy 1 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 1 2018 Semi-implicit discontinuous Galerkin methods for the incompressible Navier-Stokes equations on adaptive staggered Cartesian grids. Zbl 1439.76066Fambri, Francesco; Dumbser, Michael 1 2017 An alternative smooth particle hydrodynamics formulation to simulate chemotaxis in porous media. Zbl 1360.76210Avesani, Diego; Dumbser, Michael; Chiogna, Gabriele; Bellin, Alberto 1 2017 Discontinuous Galerkin schemes with defect corrections based on reconstruction. Zbl 1365.76114Filimon, Alexander; Dumbser, Michael; Munz, Claus-Dieter 1 2012 \(P_N P_M\) schemes on unstructured meshes for time-dependent partial differential equations. Zbl 1358.76039Dumbser, Michael 1 2011 Efficient high order accurate staggered semi-implicit discontinuous Galerkin methods for natural convection problems. Zbl 07157294Busto, S.; Tavelli, M.; Boscheri, W.; Dumbser, M. 5 2020 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 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 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. 8 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 4 2018 A well balanced diffuse interface method for complex nonhydrostatic free surface flows. Zbl 1410.76224Gaburro, Elena; Castro, Manuel J.; Dumbser, Michael 4 2018 A family of HLL-type solvers for the generalized Riemann problem. Zbl 1410.76228Goetz, Claus R.; Balsara, Dinshaw S.; Dumbser, Michael 4 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 3 2018 Semi-implicit staggered discontinuous Galerkin schemes for axially symmetric viscous compressible flows in elastic tubes. Zbl 1390.76322Ioriatti, Matteo; Dumbser, Michael 3 2018 A unified hyperbolic formulation for viscous fluids and elastoplastic solids. Zbl 1417.35191Dumbser, Michael; Peshkov, Ilya; Romenski, Evgeniy 1 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 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 24 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 20 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 16 2017 Direct arbitrary-Lagrangian-Eulerian finite volume schemes on moving nonconforming unstructured meshes. Zbl 1390.76433Gaburro, Elena; Dumbser, Michael; Castro, Manuel J. 8 2017 Semi-implicit discontinuous Galerkin methods for the incompressible Navier-Stokes equations on adaptive staggered Cartesian grids. Zbl 1439.76066Fambri, Francesco; Dumbser, Michael 1 2017 An alternative smooth particle hydrodynamics formulation to simulate chemotaxis in porous media. Zbl 1360.76210Avesani, Diego; Dumbser, Michael; Chiogna, Gabriele; Bellin, Alberto 1 2017 A new efficient formulation of the HLLEM Riemann solver for general conservative and non-conservative hyperbolic systems. Zbl 1349.76603Dumbser, Michael; Balsara, Dinshaw S. 41 2016 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 36 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 24 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 21 2016 Cell centered direct arbitrary-Lagrangian-Eulerian ADER-WENO finite volume schemes for nonlinear hyperelasticity. Zbl 1390.76399Boscheri, Walter; Dumbser, Michael; Loubère, Raphaël 17 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 13 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 12 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 12 2016 A space-time discontinuous Galerkin method for Boussinesq-type equations. Zbl 1410.76167Dumbser, M.; Facchini, M. 9 2016 High order accurate direct arbitrary-Lagrangian-Eulerian ADER-WENO finite volume schemes on moving curvilinear unstructured meshes. Zbl 1390.76398Boscheri, Walter; Dumbser, Michael 9 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 6 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 3 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 34 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 31 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 31 2015 Direct arbitrary-Lagrangian-Eulerian ADER-MOOD finite volume schemes for multidimensional hyperbolic conservation laws. Zbl 1349.76312Boscheri, Walter; Loubère, Raphaël; Dumbser, Michael 20 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 17 2015 An efficient semi-implicit finite volume method for axially symmetric compressible flows in compliant tubes. Zbl 1326.76070Dumbser, Michael; Iben, Uwe; Ioriatti, Matteo 13 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 12 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 92 2014 Multidimensional HLLC Riemann solver for unstructured meshes – with application to Euler and MHD flows. Zbl 1349.76426Balsara, Dinshaw S.; Dumbser, Michael; Abgrall, Remi 55 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 53 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 43 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 33 2014 High order space-time adaptive ADER-WENO finite volume schemes for non-conservative hyperbolic systems. Zbl 1295.65088Dumbser, Michael; Hidalgo, Arturo; Zanotti, Olindo 31 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 27 2014 A staggered semi-implicit discontinuous Galerkin method for the two dimensional incompressible Navier-Stokes equations. Zbl 1338.76068Tavelli, Maurizio; Dumbser, Michael 25 2014 A new class of moving-least-squares WENO-SPH schemes. Zbl 1349.76661Avesani, Diego; Dumbser, Michael; Bellin, Alberto 19 2014 Arbitrary-Lagrangian-Eulerian ADER-WENO finite volume schemes with time-accurate local time stepping for hyperbolic conservation laws. Zbl 1423.76296Dumbser, Michael 15 2014 Construction and comparison of parallel implicit kinetic solvers in three spatial dimensions. Zbl 1349.76741Titarev, Vladimir; Dumbser, Michael; Utyuzhnikov, Sergey 14 2014 ADER-WENO finite volume schemes with space-time adaptive mesh refinement. Zbl 1349.76325Dumbser, Michael; Zanotti, Olindo; Hidalgo, Arturo; Balsara, Dinshaw S. 66 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 62 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 35 2013 A staggered semi-implicit spectral discontinuous Galerkin scheme for the shallow water equations. Zbl 1366.76050Dumbser, Michael; Casulli, Vincenzo 28 2013 Arbitrary-Lagrangian-Eulerian one-step WENO finite volume schemes on unstructured triangular meshes. Zbl 1388.65075Boscheri, Walter; Dumbser, Michael 26 2013 Efficient implementation of high order unstructured WENO schemes for cavitating flows. Zbl 1290.76098Dumbser, Michael; Iben, Uwe; Munz, Claus-Dieter 20 2013 On arbitrary-Lagrangian-Eulerian one-step WENO schemes for stiff hyperbolic balance laws. Zbl 1373.76126Dumbser, Michael; Uuriintsetseg, Ariunaa; Zanotti, Olindo 19 2013 A diffuse interface method for complex three-dimensional free surface flows. Zbl 1286.76099Dumbser, Michael 12 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 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. 25 2012 Semi-implicit numerical modeling of axially symmetric flows in compliant arterial systems. Zbl 1242.92019Casulli, Vincenzo; Dumbser, Michael; Toro, Eleuterio F. 16 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. 5 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. 77 2011 On universal Osher-type schemes for general nonlinear hyperbolic conservation laws. Zbl 1373.76125Dumbser, Michael; Toro, Eleuterio F. 58 2011 ADER schemes for nonlinear systems of stiff advection-diffusion-reaction equations. Zbl 1221.65231Hidalgo, Arturo; Dumbser, Michael 46 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 23 2011 A simple two-phase method for the simulation of complex free surface flows. Zbl 1225.76210Dumbser, Michael 13 2011 \(P_N P_M\) schemes on unstructured meshes for time-dependent partial differential equations. Zbl 1358.76039Dumbser, Michael 1 2011 Reformulated Osher-type Riemann solver. Zbl 1346.76099Toro, Eleuterio F.; Dumbser, Michael 1 2011 Arbitrary high order \(P_{N}P_{M}\) schemes on unstructured meshes for the compressible Navier-Stokes equations. Zbl 1242.76161Dumbser, Michael 94 2010 FORCE schemes on unstructured meshes. II: Non-conservative hyperbolic systems. Zbl 1227.76043Dumbser, Michael; Hidalgo, Arturo; Castro, Manuel; Parés, Carlos; Toro, Eleuterio F. 56 2010 Three-dimensional flow evolution after a dam break. Zbl 1205.76228Ferrari, A.; Fraccarollo, L.; Dumbser, M.; Toro, E. F.; Armanini, A. 12 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 96 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. 79 2009 A new 3D parallel SPH scheme for free surface flows. Zbl 1242.76270Ferrari, Angela; Dumbser, Michael; Toro, Eleuterio F.; Armanini, Aronne 68 2009 Very high order \(P_NP_M\) schemes on unstructured meshes for the resistive relativistic MHD equations. Zbl 1261.76028Dumbser, Michael; Zanotti, Olindo 55 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 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 200 2008 Finite volume schemes of very high order of accuracy for stiff hyperbolic balance laws. Zbl 1142.65070Dumbser, Michael; Enaux, Cedric; Toro, Eleuterio F. 107 2008 Runge-Kutta discontinuous Galerkin method using WENO limiters II: Unstructured meshes. Zbl 1157.65453Zhu, Jun; Qiu, Jianxian; Shu, Chi-Wang; Dumbser, Michael 81 2008 FORCE schemes on unstructured meshes. I: Conservative hyperbolic systems. Zbl 1168.65377Toro, Eleuterio F.; Hidalgo, Arturo; Dumbser, Michael 39 2008 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 \(p\)-adaptive discontinuous Galerkin method with local time steps for computational seismology. Zbl 1155.86315Dumbser, Michael; Käser, Martin 1 2008 Arbitrary high order non-oscillatory finite volume schemes on unstructured meshes for linear hyperbolic systems. Zbl 1110.65077Dumbser, Michael; Käser, Martin 164 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. 121 2007 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 37 2007 Arbitrary high-order discontinuous Galerkin schemes for the magnetohydrodynamic equations. Zbl 1176.76075Taube, Arne; Dumbser, Michael; Balsara, Dinshaw S.; Munz, Claus-Dieter 23 2007 Linearized acoustic perturbation equations for low Mach number flow with variable density and temperature. Zbl 1261.76049Munz, Claus-Dieter; Dumbser, Michael; Roller, Sabine 16 2007 On source terms and boundary conditions using arbitrary high order discontinuous Galerkin schemes. Zbl 1159.35305Dumbser, Michael; Munz, Claus-Dieter 5 2007 Building blocks for arbitrary high order discontinuous Galerkin schemes. Zbl 1115.65100Dumbser, Michael; Munz, Claus-Dieter 64 2006 Heterogeneous domain decomposition for numerical aeroacoustics. Zbl 1298.76122Utzmann, Jens; Schwartzkopff, Thomas; Dumbser, Michael; Munz, Claus-Dieter 6 2006 The discontinuous Galerkin method with Lax–Wendroff type time discretizations. Zbl 1093.76038Qiu, Jianxian; Dumbser, Michael; Shu, Chi-Wang 51 2005 ADER discontinuous Galerkin schemes for aeroacoustics. Zbl 1107.76044Dumbser, Michael; Munz, Claus-Dieter 29 2005 Arbitrary high order discontinuous Galerkin schemes. Zbl 1210.65165Dumbser, M.; Munz, C.-D. 23 2005 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 Multiple-scale modelling of acoustic sources in low Mach-number flow. Zbl 1204.76032Munz, Claus-Dieter; Fortenbach, Roland; Dumbser, Michael 2 2005 ...and 3 more Documents all cited Publications top 5 cited Publications all top 5 Cited by 1,607 Authors 103 Dumbser, Michael 44 Toro, Eleuterio F. 35 Balsara, Dinshaw S. 30 Qiu, Jianxian 28 Shu, Chi-Wang 27 Munz, Claus-Dieter 22 Loubère, Raphaël 20 Boscheri, Walter 20 Zhu, Jun 18 Titarev, Vladimir A. 17 Luo, Hong 14 Gassner, Gregor J. 14 Montecinos, Gino I. 13 Castro, Manuel J. 12 Tavelli, Maurizio 11 Clain, Stéphane Louis 11 Hidalgo, Arturo 11 Morgan, Nathaniel R. 11 Seal, David C. 11 Xu, Kun 10 Christlieb, Andrew J. 10 Lombard, Bruno 10 Parés Madroñal, Carlos 9 Kuzmin, Dmitri 9 Murillo, Javier 9 Nogueira, Xesús 9 Ren, Yuxin 9 Semplice, Matteo 9 Yan, Chao 8 Cheng, Jian 8 Deng, Xi 8 Kolev, Tzanio V. 8 Liu, Tiegang 8 Tsoutsanis, Panagiotis 8 Xiao, Feng 8 Zanotti, Olindo 7 Abgrall, Rémi 7 Adams, Nikolaus A. 7 Capdeville, Guy 7 Daude, Frédéric 7 Drikakis, Dimitris 7 Kim, Chongam 7 Lörcher, Frieder 7 Navas-Montilla, A. 7 Nourgaliev, Robert R. 7 Pan, Liang 7 Tang, Qi 7 Tokareva, Svetlana A. 7 Tomov, Vladimir Z. 7 Vázquez-Cendón, María Elena 6 Burton, Donald E. 6 Busto, Saray 6 Chandrashekar, Praveen 6 Galon, Pascal 6 Garain, Sudip K. 6 Jiang, Zhenhua 6 Li, Wanai 6 Maire, Pierre-Henri 6 Müller, Lucas O. 6 Nkonga, Boniface 6 Xia, Yidong 6 Zhang, Mengping 5 Antuono, Matteo 5 Castro, Cristóbal E. 5 Casulli, Vincenzo 5 Colominas, Ignasi 5 Després, Bruno 5 Dimarco, Giacomo 5 Dobrev, Veselin A. 5 Dolejší, Vít 5 Fambri, Francesco 5 Gaburro, Elena 5 Gallardo, José M. 5 Grote, Marcus J. 5 Jackson, Haran 5 Khelladi, Sofiane 5 Li, Jiequan 5 Marrone, Salvatore 5 Rogers, Benedict D. 5 Romenskii, Evgenii I. 5 Tang, Huazhong 5 Utyuzhnikov, Sergey V. 5 Xie, Bin 5 Xu, Zhiliang 5 Yu, Xijun 5 Zhang, Chi 4 Bader, Michael 4 Bakhvalov, Pavel A. 4 Borsche, Raul 4 Caleffi, Valerio 4 Castro-Díaz, Manuel Jesús 4 Chiavassa, Guillaume 4 Colagrossi, Andrea 4 Dehghan Takht Fooladi, Mehdi 4 Du, Jie 4 Ekaterinaris, John A. 4 Fernández-Nieto, Enrique Domingo 4 Garcia-Navarro, Pilar 4 Garoni, Carlo 4 Guermond, Jean-Luc ...and 1,507 more Authors all top 5 Cited in 91 Serials 394 Journal of Computational Physics 170 Computers and Fluids 81 Journal of Scientific Computing 41 Computer Methods in Applied Mechanics and Engineering 39 Applied Mathematics and Computation 24 Computers & Mathematics with Applications 24 Applied Numerical Mathematics 18 SIAM Journal on Scientific Computing 13 Applied Mathematical Modelling 12 International Journal for Numerical Methods in Fluids 10 Journal of Computational and Applied Mathematics 7 Computer Physics Communications 7 Journal of Fluid Mechanics 7 SIAM Journal on Numerical Analysis 7 Computational Mathematics and Mathematical Physics 7 Mathematical Problems in Engineering 6 Numerische Mathematik 6 M\(^3\)AS. 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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 Computational Geosciences 1 International Journal of Nonlinear Sciences and Numerical Simulation 1 International Journal of Modern Physics C 1 The ANZIAM Journal 1 Journal of Systems Science and Complexity 1 Computational Methods in Applied Mathematics 1 Sādhanā 1 Bulletin of the Brazilian Mathematical Society. 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