## Dumbser, Michael

Compute Distance To:
 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
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### 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
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### 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
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### 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)

### 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 1147.65075
Dumbser, Michael; Balsara, Dinshaw S.; Toro, Eleuterio F.; Munz, Claus-Dieter
2008
Arbitrary high order non-oscillatory finite volume schemes on unstructured meshes for linear hyperbolic systems. Zbl 1110.65077
Dumbser, Michael; Käser, Martin
2007
Quadrature-free non-oscillatory finite volume schemes on unstructured meshes for nonlinear hyperbolic systems. Zbl 1124.65074
Dumbser, Michael; Käser, Martin; Titarev, Vladimir A.; Toro, Eleuterio F.
2007
Finite volume schemes of very high order of accuracy for stiff hyperbolic balance laws. Zbl 1142.65070
Dumbser, Michael; Enaux, Cedric; Toro, Eleuterio F.
2008
A posteriori subcell limiting of the discontinuous Galerkin finite element method for hyperbolic conservation laws. Zbl 1349.65448
Dumbser, Michael; Zanotti, Olindo; Loubère, Raphaël; Diot, Steven
2014
Arbitrary high order $$P_{N}P_{M}$$ schemes on unstructured meshes for the compressible Navier-Stokes equations. Zbl 1242.76161
Dumbser, Michael
2010
Efficient, high accuracy ADER-WENO schemes for hydrodynamics and divergence-free magnetohydrodynamics. Zbl 1275.76169
Balsara, Dinshaw S.; Rumpf, Tobias; Dumbser, Michael; Munz, Claus-Dieter
2009
A simple extension of the Osher Riemann solver to non-conservative hyperbolic systems. Zbl 1220.65110
Dumbser, Michael; Toro, Eleuterio F.
2011
ADER schemes on unstructured meshes for nonconservative hyperbolic systems: applications to geophysical flows. Zbl 1177.76222
Dumbser, Michael; Castro, Manuel; Parés, Carlos; Toro, Eleuterio F.
2009
Runge-Kutta discontinuous Galerkin method using WENO limiters II: Unstructured meshes. Zbl 1157.65453
Zhu, Jun; Qiu, Jianxian; Shu, Chi-Wang; Dumbser, Michael
2008
A new 3D parallel SPH scheme for free surface flows. Zbl 1242.76270
Ferrari, Angela; Dumbser, Michael; Toro, Eleuterio F.; Armanini, Aronne
2009
Dumbser, Michael; Zanotti, Olindo; Hidalgo, Arturo; Balsara, Dinshaw S.
2013
On universal Osher-type schemes for general nonlinear hyperbolic conservation laws. Zbl 1373.76125
Dumbser, Michael; Toro, Eleuterio F.
2011
Building blocks for arbitrary high order discontinuous Galerkin schemes. Zbl 1115.65100
Dumbser, Michael; Munz, Claus-Dieter
2006
Efficient implementation of ADER schemes for Euler and magnetohydrodynamical flows on structured meshes – speed comparisons with Runge-Kutta methods. Zbl 1291.76237
Balsara, Dinshaw S.; Meyer, Chad; Dumbser, Michael; Du, Huijing; Xu, Zhiliang
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 1349.76310
Boscheri, Walter; Dumbser, Michael
2014
FORCE schemes on unstructured meshes. II: Non-conservative hyperbolic systems. Zbl 1227.76043
Dumbser, Michael; Hidalgo, Arturo; Castro, Manuel; Parés, Carlos; Toro, Eleuterio F.
2010
Very high order $$P_NP_M$$ schemes on unstructured meshes for the resistive relativistic MHD equations. Zbl 1261.76028
Dumbser, Michael; Zanotti, Olindo
2009
Multidimensional HLLC Riemann solver for unstructured meshes – with application to Euler and MHD flows. Zbl 1349.76426
Balsara, Dinshaw S.; Dumbser, Michael; Abgrall, Remi
2014
High order ADER schemes for a unified first order hyperbolic formulation of continuum mechanics: viscous heat-conducting fluids and elastic solids. Zbl 1349.76324
Dumbser, Michael; Peshkov, Ilya; Romenski, Evgeniy; Zanotti, Olindo
2016
The discontinuous Galerkin method with Lax–Wendroff type time discretizations. Zbl 1093.76038
Qiu, Jianxian; Dumbser, Michael; Shu, Chi-Wang
2005
A new efficient formulation of the HLLEM Riemann solver for general conservative and non-conservative hyperbolic systems. Zbl 1349.76603
Dumbser, Michael; Balsara, Dinshaw S.
2016
Hidalgo, Arturo; Dumbser, Michael
2011
A new family of high order unstructured MOOD and ADER finite volume schemes for multidimensional systems of hyperbolic conservation laws. Zbl 1373.76137
Loubère, Raphaël; Dumbser, Michael; Diot, Steven
2014
Space-time adaptive ADER discontinuous Galerkin finite element schemes with a posteriori sub-cell finite volume limiting. Zbl 1390.76381
Zanotti, Olindo; Fambri, Francesco; Dumbser, Michael; Hidalgo, Arturo
2015
Fast high order ADER schemes for linear hyperbolic equations. Zbl 1052.65078
Schwartzkopff, Thomas; Dumbser, Michael; Munz, Claus-Dieter
2004
A simple robust and accurate a posteriori sub-cell finite volume limiter for the discontinuous Galerkin method on unstructured meshes. Zbl 1349.65447
Dumbser, Michael; Loubère, Raphaël
2016
A sub-cell based indicator for troubled zones in RKDG schemes and a novel class of hybrid RKDG+HWENO schemes. Zbl 1124.65072
Balsara, Dinshaw S.; Altmann, Christoph; Munz, Claus-Dieter; Dumbser, Michael
2007
FORCE schemes on unstructured meshes. I: Conservative hyperbolic systems. Zbl 1168.65377
Toro, Eleuterio F.; Hidalgo, Arturo; Dumbser, Michael
2008
A matrix stability analysis of the carbuncle phenomenon. Zbl 1079.76607
Dumbser, Michael; Moschetta, Jean-Marc; Gressier, Jérémie
2004
High-order unstructured Lagrangian one-step WENO finite volume schemes for non-conservative hyperbolic systems: applications to compressible multi-phase flows. Zbl 1290.76081
Dumbser, Michael; Boscheri, Walter
2013
Arbitrary-Lagrangian-Eulerian one-step WENO finite volume schemes on unstructured triangular meshes. Zbl 1388.65075
Boscheri, Walter; Dumbser, Michael
2013
High order space-time adaptive ADER-WENO finite volume schemes for non-conservative hyperbolic systems. Zbl 1295.65088
Dumbser, Michael; Hidalgo, Arturo; Zanotti, Olindo
2014
Lagrangian ADER-WENO finite volume schemes on unstructured triangular meshes based on genuinely multidimensional HLL Riemann solvers. Zbl 1349.76309
Boscheri, Walter; Balsara, Dinshaw S.; Dumbser, Michael
2014
Divergence-free MHD on unstructured meshes using high order finite volume schemes based on multidimensional Riemann solvers. Zbl 1351.76092
Balsara, Dinshaw S.; Dumbser, Michael
2015
Arbitrary-Lagrangian-Eulerian discontinuous Galerkin schemes with a posteriori subcell finite volume limiting on moving unstructured meshes. Zbl 1378.76044
Boscheri, Walter; Dumbser, Michael
2017
Multidimensional Riemann problem with self-similar internal structure. Part II: Application to hyperbolic conservation laws on unstructured meshes. Zbl 1351.76091
Balsara, Dinshaw S.; Dumbser, Michael
2015
A high order semi-implicit discontinuous Galerkin method for the two dimensional shallow water equations on staggered unstructured meshes. Zbl 1298.76120
Tavelli, Maurizio; Dumbser, Michael
2014
Central weighted ENO schemes for hyperbolic conservation laws on fixed and moving unstructured meshes. Zbl 1377.65115
Dumbser, Michael; Boscheri, Walter; Semplice, Matteo; Russo, Giovanni
2017
A staggered semi-implicit spectral discontinuous Galerkin scheme for the shallow water equations. Zbl 1366.76050
Dumbser, Michael; Casulli, Vincenzo
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 1376.76028
Tavelli, Maurizio; Dumbser, Michael
2017
A staggered space-time discontinuous Galerkin method for the three-dimensional incompressible Navier-Stokes equations on unstructured tetrahedral meshes. Zbl 1349.76271
Tavelli, Maurizio; Dumbser, Michael
2016
ADER discontinuous Galerkin schemes for aeroacoustics. Zbl 1107.76044
Dumbser, Michael; Munz, Claus-Dieter
2005
A new class of moving-least-squares WENO-SPH schemes. Zbl 1349.76661
Avesani, Diego; Dumbser, Michael; Bellin, Alberto
2014
Explicit one-step time discretizations for discontinuous Galerkin and finite volume schemes based on local predictors. Zbl 1220.65122
Gassner, Gregor; Dumbser, Michael; Hindenlang, Florian; Munz, Claus-Dieter
2011
A high-order discontinuous Galerkin method with time-accurate local time stepping for the Maxwell equations. Zbl 1156.78012
Taube, Arne; Dumbser, Michael; Munz, Claus-Dieter; Schneider, Rudolf
2009
Comparison of solvers for the generalized Riemann problem for hyperbolic systems with source terms. Zbl 1284.35268
Montecinos, G.; Castro, C. E.; Dumbser, M.; Toro, E. F.
2012
A staggered semi-implicit discontinuous Galerkin method for the two dimensional incompressible Navier-Stokes equations. Zbl 1338.76068
Tavelli, Maurizio; Dumbser, Michael
2014
Direct arbitrary-Lagrangian-Eulerian ADER-MOOD finite volume schemes for multidimensional hyperbolic conservation laws. Zbl 1349.76312
Boscheri, Walter; Loubère, Raphaël; Dumbser, Michael
2015
Arbitrary high-order discontinuous Galerkin schemes for the magnetohydrodynamic equations. Zbl 1176.76075
Taube, Arne; Dumbser, Michael; Balsara, Dinshaw S.; Munz, Claus-Dieter
2007
Arbitrary high order discontinuous Galerkin schemes. Zbl 1210.65165
Dumbser, M.; Munz, C.-D.
2005
A conservative, weakly nonlinear semi-implicit finite volume scheme for the compressible Navier-Stokes equations with general equation of state. Zbl 1410.76220
Dumbser, Michael; Casulli, Vincenzo
2016
On arbitrary-Lagrangian-Eulerian one-step WENO schemes for stiff hyperbolic balance laws. Zbl 1373.76126
Dumbser, Michael; Uuriintsetseg, Ariunaa; Zanotti, Olindo
2013
A staggered space-time discontinuous Galerkin method for the incompressible Navier-Stokes equations on two-dimensional triangular meshes. Zbl 1390.76360
Tavelli, Maurizio; Dumbser, Michael
2015
Cell centered direct arbitrary-Lagrangian-Eulerian ADER-WENO finite volume schemes for nonlinear hyperelasticity. Zbl 1390.76399
Boscheri, Walter; Dumbser, Michael; Loubère, Raphaël
2016
Efficient implementation of high order unstructured WENO schemes for cavitating flows. Zbl 1290.76098
Dumbser, Michael; Iben, Uwe; Munz, Claus-Dieter
2013
Construction and comparison of parallel implicit kinetic solvers in three spatial dimensions. Zbl 1349.76741
Titarev, Vladimir; Dumbser, Michael; Utyuzhnikov, Sergey
2014
Arbitrary-Lagrangian-Eulerian ADER-WENO finite volume schemes with time-accurate local time stepping for hyperbolic conservation laws. Zbl 1423.76296
Dumbser, Michael
2014
Linearized acoustic perturbation equations for low Mach number flow with variable density and temperature. Zbl 1261.76049
Munz, Claus-Dieter; Dumbser, Michael; Roller, Sabine
2007
A diffuse interface method for complex three-dimensional free surface flows. Zbl 1286.76099
Dumbser, Michael
2013
Semi-implicit numerical modeling of axially symmetric flows in compliant arterial systems. Zbl 1242.92019
Casulli, Vincenzo; Dumbser, Michael; Toro, Eleuterio F.
2012
Spectral semi-implicit and space-time discontinuous Galerkin methods for the incompressible Navier-Stokes equations on staggered Cartesian grids. Zbl 1432.76157
Fambri, Francesco; Dumbser, Michael
2016
An efficient semi-implicit finite volume method for axially symmetric compressible flows in compliant tubes. Zbl 1326.76070
Dumbser, Michael; Iben, Uwe; Ioriatti, Matteo
2015
High order cell-centered Lagrangian-type finite volume schemes with time-accurate local time stepping on unstructured triangular meshes. Zbl 1349.76311
Boscheri, Walter; Dumbser, Michael; Zanotti, Olindo
2015
Direct arbitrary-Lagrangian-Eulerian finite volume schemes on moving nonconforming unstructured meshes. Zbl 1390.76433
Gaburro, Elena; Dumbser, Michael; Castro, Manuel J.
2017
A second-order cell-centered Lagrangian ADER-MOOD finite volume scheme on multidimensional unstructured meshes for hydrodynamics. Zbl 1381.76212
Boscheri, Walter; Dumbser, Michael; Loubère, Raphaël; Maire, Pierre-Henri
2018
Three-dimensional flow evolution after a dam break. Zbl 1205.76228
Ferrari, A.; Fraccarollo, L.; Dumbser, M.; Toro, E. F.; Armanini, A.
2010
An efficient quadrature-free formulation for high order arbitrary-Lagrangian-Eulerian ADER-WENO finite volume schemes on unstructured meshes. Zbl 1338.65219
Boscheri, Walter; Dumbser, Michael
2016
A simple two-phase method for the simulation of complex free surface flows. Zbl 1225.76210
Dumbser, Michael
2011
A space-time discontinuous Galerkin method for Boussinesq-type equations. Zbl 1410.76167
Dumbser, M.; Facchini, M.
2016
Efficient high order accurate staggered semi-implicit discontinuous Galerkin methods for natural convection problems. Zbl 07157294
Busto, S.; Tavelli, M.; Boscheri, W.; Dumbser, M.
2020
High-order unstructured one-step $$P_{N}P_{M}$$ schemes for the viscous and resistive MHD equations. Zbl 1231.76345
Dumbser, M.; Balsara, D. S.
2009
A high order special relativistic hydrodynamic and magnetohydrodynamic code with space-time adaptive mesh refinement. Zbl 1344.76058
Zanotti, Olindo; Dumbser, Michael
2015
High order accurate direct arbitrary-Lagrangian-Eulerian ADER-WENO finite volume schemes on moving curvilinear unstructured meshes. Zbl 1390.76398
Boscheri, Walter; Dumbser, Michael
2016
Efficient implementation of ADER discontinuous Galerkin schemes for a scalable hyperbolic PDE engine. Zbl 1434.65179
Dumbser, Michael; Fambri, Francesco; Tavelli, Maurizio; Bader, Michael; Weinzierl, Tobias
2018
Staggered discontinuous Galerkin methods for the incompressible Navier-Stokes equations: spectral analysis and computational results. Zbl 06986989
Dumbser, M.; Fambri, F.; Furci, I.; Mazza, M.; Serra-Capizzano, S.; Tavelli, M.
2018
A well balanced diffuse interface method for complex nonhydrostatic free surface flows. Zbl 1410.76224
Gaburro, Elena; Castro, Manuel J.; Dumbser, Michael
2018
A two-dimensional Riemann solver with self-similar sub-structure - alternative formulation based on least squares projection. Zbl 1349.76157
Balsara, Dinshaw S.; Vides, Jeaniffer; Gurski, Katharine; Nkonga, Boniface; Dumbser, Michael; Garain, Sudip; Audit, Edouard
2016
A simple diffuse interface approach for compressible flows around moving solids of arbitrary shape based on a reduced Baer-Nunziato model. Zbl 07200216
Kemm, Friedemann; Gaburro, Elena; Thein, Ferdinand; Dumbser, Michael
2020
A hyperbolic reformulation of the Serre-Green-Naghdi model for general bottom topographies. Zbl 07335348
Bassi, C.; Bonaventura, L.; Busto, S.; Dumbser, M.
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 1368.65155
Goetz, Claus R.; Dumbser, Michael
2016
Theoretical and numerical comparison of hyperelastic and hypoelastic formulations for Eulerian non-linear elastoplasticity. Zbl 1452.74022
Peshkov, Ilya; Boscheri, Walter; Loubère, Raphaël; Romenski, Evgeniy; Dumbser, Michael
2019
An efficient hyperbolic relaxation system for dispersive non-hydrostatic water waves and its solution with high order discontinuous Galerkin schemes. Zbl 1452.65188
Escalante, C.; Dumbser, M.; Castro, M. J.
2019
On high order ADER discontinuous Galerkin schemes for first order hyperbolic reformulations of nonlinear dispersive systems. Zbl 1465.76060
Busto, Saray; Dumbser, Michael; Escalante, Cipriano; Favrie, Nicolas; Gavrilyuk, Sergey
2021
A new stable version of the SPH method in Lagrangian coordinates. Zbl 1364.76175
Ferrari, A.; Dumbser, M.; Toro, E. F.; Armanini, A.
2008
A family of HLL-type solvers for the generalized Riemann problem. Zbl 1410.76228
Goetz, Claus R.; Balsara, Dinshaw S.; Dumbser, Michael
2018
High resolution methods for scalar transport problems in compliant systems of arteries. Zbl 1302.76134
Tavelli, M.; Dumbser, Michael; Casulli, V.
2013
A novel numerical method of high-order accuracy for flow in unsaturated porous media. Zbl 1242.76188
Zambra, C. E.; Dumbser, M.; Toro, E. F.; Moraga, N. O.
2012
Arbitrary high order accurate space-time discontinuous Galerkin finite element schemes on staggered unstructured meshes for linear elasticity. Zbl 1406.74647
Tavelli, Maurizio; Dumbser, Michael
2018
On source terms and boundary conditions using arbitrary high order discontinuous Galerkin schemes. Zbl 1159.35305
Dumbser, Michael; Munz, Claus-Dieter
2007
Semi-implicit discontinuous Galerkin methods for the incompressible Navier-Stokes equations on adaptive staggered Cartesian grids. Zbl 1439.76066
Fambri, Francesco; Dumbser, Michael
2017
ADER-DG with a-posteriori finite-volume limiting to simulate tsunamis in a parallel adaptive mesh refinement framework. Zbl 1410.86006
Rannabauer, Leonhard; Dumbser, Michael; Bader, Michael
2018
A unified hyperbolic formulation for viscous fluids and elastoplastic solids. Zbl 1417.35191
Dumbser, Michael; Peshkov, Ilya; Romenski, Evgeniy
2018
Semi-implicit staggered discontinuous Galerkin schemes for axially symmetric viscous compressible flows in elastic tubes. Zbl 1390.76322
Ioriatti, Matteo; Dumbser, Michael
2018
On thermodynamically compatible finite volume methods and path-conservative ADER discontinuous Galerkin schemes for turbulent shallow water flows. Zbl 07384714
Busto, Saray; Dumbser, Michael; Gavrilyuk, Sergey; Ivanova, Kseniya
2021
A path-conservative Osher-type scheme for axially symmetric compressible flows in flexible visco-elastic tubes. Zbl 1381.76219
Leibinger, Julia; Dumbser, Michael; Iben, Uwe; Wayand, Isabell
2016
Calculation of low Mach number acoustics: a comparison of MPV, EIF and linearized Euler equations. Zbl 1130.76072
Roller, Sabine; Schwartzkopff, Thomas; Fortenbach, Roland; Dumbser, Michael; Munz, Claus-Dieter
2005
A posteriori sub-cell finite volume limiting of staggered semi-implicit discontinuous Galerkin schemes for the shallow water equations. Zbl 1403.76046
Ioriatti, Matteo; Dumbser, Michael
2019
Implicit multiblock method for solving a kinetic equation on unstructured meshes. Zbl 1299.76222
Dumbser, M.; Titarev, V. A.; Utyuzhnikov, S. V.
2013
A path-conservative finite volume scheme for compressible multi-phase flows with surface tension. Zbl 1410.76463
Nguyen, Nguyen T.; Dumbser, Michael
2015
On high order ADER discontinuous Galerkin schemes for first order hyperbolic reformulations of nonlinear dispersive systems. Zbl 1465.76060
Busto, Saray; Dumbser, Michael; Escalante, Cipriano; Favrie, Nicolas; Gavrilyuk, Sergey
2021
On thermodynamically compatible finite volume methods and path-conservative ADER discontinuous Galerkin schemes for turbulent shallow water flows. Zbl 07384714
Busto, Saray; Dumbser, Michael; Gavrilyuk, Sergey; Ivanova, Kseniya
2021
A semi-implicit hybrid finite volume/finite element scheme for all Mach number flows on staggered unstructured meshes. Zbl 07423581
Busto, S.; Río-Martín, L.; Vázquez-Cendón, M. E.; Dumbser, M.
2021
Arbitrary high order central non-oscillatory schemes on mixed-element unstructured meshes. Zbl 07426260
Tsoutsanis, Panagiotis; Dumbser, Michael
2021
A posteriori subcell finite volume limiter for general $$P_NP_M$$ schemes: applications from gasdynamics to relativistic magnetohydrodynamics. Zbl 1475.65091
Gaburro, Elena; Dumbser, Michael
2021
An alternative SPH formulation: ADER-WENO-SPH. Zbl 07415027
Avesani, Diego; Dumbser, Michael; Vacondio, Renato; Righetti, Maurizio
2021
Efficient high order accurate staggered semi-implicit discontinuous Galerkin methods for natural convection problems. Zbl 07157294
Busto, S.; Tavelli, M.; Boscheri, W.; Dumbser, M.
2020
A simple diffuse interface approach for compressible flows around moving solids of arbitrary shape based on a reduced Baer-Nunziato model. Zbl 07200216
Kemm, Friedemann; Gaburro, Elena; Thein, Ferdinand; Dumbser, Michael
2020
A hyperbolic reformulation of the Serre-Green-Naghdi model for general bottom topographies. Zbl 07335348
Bassi, C.; Bonaventura, L.; Busto, S.; Dumbser, M.
2020
High order ADER-DG schemes for the simulation of linear seismic waves induced by nonlinear dispersive free-surface water waves. Zbl 1447.74042
Bassi, C.; Busto, S.; Dumbser, M.
2020
A new continuum model for general relativistic viscous heat-conducting media. Zbl 1462.82032
Romenski, E.; Peshkov, I.; Dumbser, M.; Fambri, F.
2020
On GLM curl cleaning for a first order reduction of the CCZ4 formulation of the Einstein field equations. Zbl 1453.85002
Dumbser, Michael; Fambri, Francesco; Gaburro, Elena; Reinarz, Anne
2020
Modeling wavefields in saturated elastic porous media based on thermodynamically compatible system theory for two-phase solid-fluid mixtures. Zbl 07211859
Romenski, Evgeniy; Reshetova, Galina; Peshkov, Ilya; Dumbser, Michael
2020
Theoretical and numerical comparison of hyperelastic and hypoelastic formulations for Eulerian non-linear elastoplasticity. Zbl 1452.74022
Peshkov, Ilya; Boscheri, Walter; Loubère, Raphaël; Romenski, Evgeniy; Dumbser, Michael
2019
An efficient hyperbolic relaxation system for dispersive non-hydrostatic water waves and its solution with high order discontinuous Galerkin schemes. Zbl 1452.65188
Escalante, C.; Dumbser, M.; Castro, M. J.
2019
A posteriori sub-cell finite volume limiting of staggered semi-implicit discontinuous Galerkin schemes for the shallow water equations. Zbl 1403.76046
Ioriatti, Matteo; Dumbser, Michael
2019
A simple diffuse interface approach on adaptive Cartesian grids for the linear elastic wave equations with complex topography. Zbl 1452.74113
Tavelli, Maurizio; Dumbser, Michael; Charrier, Dominic Etienne; Rannabauer, Leonhard; Weinzierl, Tobias; Bader, Michael
2019
Central WENO subcell finite volume limiters for ADER discontinuous Galerkin schemes on fixed and moving unstructured meshes. Zbl 1474.65307
Boscheri, Walter; Semplice, Matteo; Dumbser, Michael
2019
FORCE schemes on moving unstructured meshes for hyperbolic systems. Zbl 1442.65191
Boscheri, Walter; Dumbser, Michael; Righetti, Maurizio
2019
A second-order cell-centered Lagrangian ADER-MOOD finite volume scheme on multidimensional unstructured meshes for hydrodynamics. Zbl 1381.76212
Boscheri, Walter; Dumbser, Michael; Loubère, Raphaël; Maire, Pierre-Henri
2018
Efficient implementation of ADER discontinuous Galerkin schemes for a scalable hyperbolic PDE engine. Zbl 1434.65179
Dumbser, Michael; Fambri, Francesco; Tavelli, Maurizio; Bader, Michael; Weinzierl, Tobias
2018
Staggered discontinuous Galerkin methods for the incompressible Navier-Stokes equations: spectral analysis and computational results. Zbl 06986989
Dumbser, M.; Fambri, F.; Furci, I.; Mazza, M.; Serra-Capizzano, S.; Tavelli, M.
2018
A well balanced diffuse interface method for complex nonhydrostatic free surface flows. Zbl 1410.76224
Gaburro, Elena; Castro, Manuel J.; Dumbser, Michael
2018
A family of HLL-type solvers for the generalized Riemann problem. Zbl 1410.76228
Goetz, Claus R.; Balsara, Dinshaw S.; Dumbser, Michael
2018
Arbitrary high order accurate space-time discontinuous Galerkin finite element schemes on staggered unstructured meshes for linear elasticity. Zbl 1406.74647
Tavelli, Maurizio; Dumbser, Michael
2018
ADER-DG with a-posteriori finite-volume limiting to simulate tsunamis in a parallel adaptive mesh refinement framework. Zbl 1410.86006
Rannabauer, Leonhard; Dumbser, Michael; Bader, Michael
2018
A unified hyperbolic formulation for viscous fluids and elastoplastic solids. Zbl 1417.35191
Dumbser, Michael; Peshkov, Ilya; Romenski, Evgeniy
2018
Semi-implicit staggered discontinuous Galerkin schemes for axially symmetric viscous compressible flows in elastic tubes. Zbl 1390.76322
Ioriatti, Matteo; Dumbser, Michael
2018
Reprint of: “Direct arbitrary-Lagrangian-Eulerian finite volume schemes on moving nonconforming unstructured meshes”. Zbl 1391.76406
Gaburro, Elena; Dumbser, Michael; Castro, Manuel J.
2018
Arbitrary-Lagrangian-Eulerian discontinuous Galerkin schemes with a posteriori subcell finite volume limiting on moving unstructured meshes. Zbl 1378.76044
Boscheri, Walter; Dumbser, Michael
2017
Central weighted ENO schemes for hyperbolic conservation laws on fixed and moving unstructured meshes. Zbl 1377.65115
Dumbser, Michael; Boscheri, Walter; Semplice, Matteo; Russo, Giovanni
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 1376.76028
Tavelli, Maurizio; Dumbser, Michael
2017
Direct arbitrary-Lagrangian-Eulerian finite volume schemes on moving nonconforming unstructured meshes. Zbl 1390.76433
Gaburro, Elena; Dumbser, Michael; Castro, Manuel J.
2017
Semi-implicit discontinuous Galerkin methods for the incompressible Navier-Stokes equations on adaptive staggered Cartesian grids. Zbl 1439.76066
Fambri, Francesco; Dumbser, Michael
2017
A well-balanced path conservative SPH scheme for nonconservative hyperbolic systems with applications to shallow water and multi-phase flows. Zbl 1390.76760
Rossi, Giulia; Dumbser, Michael; Armanini, Aronne
2017
An alternative smooth particle hydrodynamics formulation to simulate chemotaxis in porous media. Zbl 1360.76210
Avesani, Diego; Dumbser, Michael; Chiogna, Gabriele; Bellin, Alberto
2017
High order ADER schemes for a unified first order hyperbolic formulation of continuum mechanics: viscous heat-conducting fluids and elastic solids. Zbl 1349.76324
Dumbser, Michael; Peshkov, Ilya; Romenski, Evgeniy; Zanotti, Olindo
2016
A new efficient formulation of the HLLEM Riemann solver for general conservative and non-conservative hyperbolic systems. Zbl 1349.76603
Dumbser, Michael; Balsara, Dinshaw S.
2016
A simple robust and accurate a posteriori sub-cell finite volume limiter for the discontinuous Galerkin method on unstructured meshes. Zbl 1349.65447
Dumbser, Michael; Loubère, Raphaël
2016
A staggered space-time discontinuous Galerkin method for the three-dimensional incompressible Navier-Stokes equations on unstructured tetrahedral meshes. Zbl 1349.76271
Tavelli, Maurizio; Dumbser, Michael
2016
A conservative, weakly nonlinear semi-implicit finite volume scheme for the compressible Navier-Stokes equations with general equation of state. Zbl 1410.76220
Dumbser, Michael; Casulli, Vincenzo
2016
Cell centered direct arbitrary-Lagrangian-Eulerian ADER-WENO finite volume schemes for nonlinear hyperelasticity. Zbl 1390.76399
Boscheri, Walter; Dumbser, Michael; Loubère, Raphaël
2016
Spectral semi-implicit and space-time discontinuous Galerkin methods for the incompressible Navier-Stokes equations on staggered Cartesian grids. Zbl 1432.76157
Fambri, Francesco; Dumbser, Michael
2016
An efficient quadrature-free formulation for high order arbitrary-Lagrangian-Eulerian ADER-WENO finite volume schemes on unstructured meshes. Zbl 1338.65219
Boscheri, Walter; Dumbser, Michael
2016
A space-time discontinuous Galerkin method for Boussinesq-type equations. Zbl 1410.76167
Dumbser, M.; Facchini, M.
2016
High order accurate direct arbitrary-Lagrangian-Eulerian ADER-WENO finite volume schemes on moving curvilinear unstructured meshes. Zbl 1390.76398
Boscheri, Walter; Dumbser, Michael
2016
A two-dimensional Riemann solver with self-similar sub-structure - alternative formulation based on least squares projection. Zbl 1349.76157
Balsara, Dinshaw S.; Vides, Jeaniffer; Gurski, Katharine; Nkonga, Boniface; Dumbser, Michael; Garain, Sudip; Audit, Edouard
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 1368.65155
Goetz, Claus R.; Dumbser, Michael
2016
A path-conservative Osher-type scheme for axially symmetric compressible flows in flexible visco-elastic tubes. Zbl 1381.76219
Leibinger, Julia; Dumbser, Michael; Iben, Uwe; Wayand, Isabell
2016
Space-time adaptive ADER discontinuous Galerkin finite element schemes with a posteriori sub-cell finite volume limiting. Zbl 1390.76381
Zanotti, Olindo; Fambri, Francesco; Dumbser, Michael; Hidalgo, Arturo
2015
Divergence-free MHD on unstructured meshes using high order finite volume schemes based on multidimensional Riemann solvers. Zbl 1351.76092
Balsara, Dinshaw S.; Dumbser, Michael
2015
Multidimensional Riemann problem with self-similar internal structure. Part II: Application to hyperbolic conservation laws on unstructured meshes. Zbl 1351.76091
Balsara, Dinshaw S.; Dumbser, Michael
2015
Direct arbitrary-Lagrangian-Eulerian ADER-MOOD finite volume schemes for multidimensional hyperbolic conservation laws. Zbl 1349.76312
Boscheri, Walter; Loubère, Raphaël; Dumbser, Michael
2015
A staggered space-time discontinuous Galerkin method for the incompressible Navier-Stokes equations on two-dimensional triangular meshes. Zbl 1390.76360
Tavelli, Maurizio; Dumbser, Michael
2015
An efficient semi-implicit finite volume method for axially symmetric compressible flows in compliant tubes. Zbl 1326.76070
Dumbser, Michael; Iben, Uwe; Ioriatti, Matteo
2015
High order cell-centered Lagrangian-type finite volume schemes with time-accurate local time stepping on unstructured triangular meshes. Zbl 1349.76311
Boscheri, Walter; Dumbser, Michael; Zanotti, Olindo
2015
A high order special relativistic hydrodynamic and magnetohydrodynamic code with space-time adaptive mesh refinement. Zbl 1344.76058
Zanotti, Olindo; Dumbser, Michael
2015
A path-conservative finite volume scheme for compressible multi-phase flows with surface tension. Zbl 1410.76463
Nguyen, Nguyen T.; Dumbser, Michael
2015
A posteriori subcell limiting of the discontinuous Galerkin finite element method for hyperbolic conservation laws. Zbl 1349.65448
Dumbser, Michael; Zanotti, Olindo; Loubère, Raphaël; Diot, Steven
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 1349.76310
Boscheri, Walter; Dumbser, Michael
2014
Multidimensional HLLC Riemann solver for unstructured meshes – with application to Euler and MHD flows. Zbl 1349.76426
Balsara, Dinshaw S.; Dumbser, Michael; Abgrall, Remi
2014
A new family of high order unstructured MOOD and ADER finite volume schemes for multidimensional systems of hyperbolic conservation laws. Zbl 1373.76137
Loubère, Raphaël; Dumbser, Michael; Diot, Steven
2014
High order space-time adaptive ADER-WENO finite volume schemes for non-conservative hyperbolic systems. Zbl 1295.65088
Dumbser, Michael; Hidalgo, Arturo; Zanotti, Olindo
2014
Lagrangian ADER-WENO finite volume schemes on unstructured triangular meshes based on genuinely multidimensional HLL Riemann solvers. Zbl 1349.76309
Boscheri, Walter; Balsara, Dinshaw S.; Dumbser, Michael
2014
A high order semi-implicit discontinuous Galerkin method for the two dimensional shallow water equations on staggered unstructured meshes. Zbl 1298.76120
Tavelli, Maurizio; Dumbser, Michael
2014
A new class of moving-least-squares WENO-SPH schemes. Zbl 1349.76661
Avesani, Diego; Dumbser, Michael; Bellin, Alberto
2014
A staggered semi-implicit discontinuous Galerkin method for the two dimensional incompressible Navier-Stokes equations. Zbl 1338.76068
Tavelli, Maurizio; Dumbser, Michael
2014
Construction and comparison of parallel implicit kinetic solvers in three spatial dimensions. Zbl 1349.76741
Titarev, Vladimir; Dumbser, Michael; Utyuzhnikov, Sergey
2014
Arbitrary-Lagrangian-Eulerian ADER-WENO finite volume schemes with time-accurate local time stepping for hyperbolic conservation laws. Zbl 1423.76296
Dumbser, Michael
2014
Dumbser, Michael; Zanotti, Olindo; Hidalgo, Arturo; Balsara, Dinshaw S.
2013
Efficient implementation of ADER schemes for Euler and magnetohydrodynamical flows on structured meshes – speed comparisons with Runge-Kutta methods. Zbl 1291.76237
Balsara, Dinshaw S.; Meyer, Chad; Dumbser, Michael; Du, Huijing; Xu, Zhiliang
2013
High-order unstructured Lagrangian one-step WENO finite volume schemes for non-conservative hyperbolic systems: applications to compressible multi-phase flows. Zbl 1290.76081
Dumbser, Michael; Boscheri, Walter
2013
Arbitrary-Lagrangian-Eulerian one-step WENO finite volume schemes on unstructured triangular meshes. Zbl 1388.65075
Boscheri, Walter; Dumbser, Michael
2013
A staggered semi-implicit spectral discontinuous Galerkin scheme for the shallow water equations. Zbl 1366.76050
Dumbser, Michael; Casulli, Vincenzo
2013
On arbitrary-Lagrangian-Eulerian one-step WENO schemes for stiff hyperbolic balance laws. Zbl 1373.76126
Dumbser, Michael; Uuriintsetseg, Ariunaa; Zanotti, Olindo
2013
Efficient implementation of high order unstructured WENO schemes for cavitating flows. Zbl 1290.76098
Dumbser, Michael; Iben, Uwe; Munz, Claus-Dieter
2013
A diffuse interface method for complex three-dimensional free surface flows. Zbl 1286.76099
Dumbser, Michael
2013
High resolution methods for scalar transport problems in compliant systems of arteries. Zbl 1302.76134
Tavelli, M.; Dumbser, Michael; Casulli, V.
2013
Implicit multiblock method for solving a kinetic equation on unstructured meshes. Zbl 1299.76222
Dumbser, M.; Titarev, V. A.; Utyuzhnikov, S. V.
2013
High-order finite volume schemes based on defect corrections. Zbl 1275.65052
Filimon, Alexander; Dumbser, Michael; Munz, Claus-Dieter
2013
A semi-implicit scheme for 3D free surface flows with high-order velocity reconstruction on unstructured Voronoi meshes. Zbl 1455.76104
Boscheri, Walter; Dumbser, M.; Righetti, M.
2013
Comparison of solvers for the generalized Riemann problem for hyperbolic systems with source terms. Zbl 1284.35268
Montecinos, G.; Castro, C. E.; Dumbser, M.; Toro, E. F.
2012
Semi-implicit numerical modeling of axially symmetric flows in compliant arterial systems. Zbl 1242.92019
Casulli, Vincenzo; Dumbser, Michael; Toro, Eleuterio F.
2012
A novel numerical method of high-order accuracy for flow in unsaturated porous media. Zbl 1242.76188
Zambra, C. E.; Dumbser, M.; Toro, E. F.; Moraga, N. O.
2012
Discontinuous Galerkin schemes with defect corrections based on reconstruction. Zbl 1365.76114
Filimon, Alexander; Dumbser, Michael; Munz, Claus-Dieter
2012
A simple extension of the Osher Riemann solver to non-conservative hyperbolic systems. Zbl 1220.65110
Dumbser, Michael; Toro, Eleuterio F.
2011
On universal Osher-type schemes for general nonlinear hyperbolic conservation laws. Zbl 1373.76125
Dumbser, Michael; Toro, Eleuterio F.
2011
Hidalgo, Arturo; Dumbser, Michael
2011
Explicit one-step time discretizations for discontinuous Galerkin and finite volume schemes based on local predictors. Zbl 1220.65122
Gassner, Gregor; Dumbser, Michael; Hindenlang, Florian; Munz, Claus-Dieter
2011
A simple two-phase method for the simulation of complex free surface flows. Zbl 1225.76210
Dumbser, Michael
2011
$$P_N P_M$$ schemes on unstructured meshes for time-dependent partial differential equations. Zbl 1358.76039
Dumbser, Michael
2011
Arbitrary high order $$P_{N}P_{M}$$ schemes on unstructured meshes for the compressible Navier-Stokes equations. Zbl 1242.76161
Dumbser, Michael
2010
FORCE schemes on unstructured meshes. II: Non-conservative hyperbolic systems. Zbl 1227.76043
Dumbser, Michael; Hidalgo, Arturo; Castro, Manuel; Parés, Carlos; Toro, Eleuterio F.
2010
Three-dimensional flow evolution after a dam break. Zbl 1205.76228
Ferrari, A.; Fraccarollo, L.; Dumbser, M.; Toro, E. F.; Armanini, A.
2010
Efficient, high accuracy ADER-WENO schemes for hydrodynamics and divergence-free magnetohydrodynamics. Zbl 1275.76169
Balsara, Dinshaw S.; Rumpf, Tobias; Dumbser, Michael; Munz, Claus-Dieter
2009
ADER schemes on unstructured meshes for nonconservative hyperbolic systems: applications to geophysical flows. Zbl 1177.76222
Dumbser, Michael; Castro, Manuel; Parés, Carlos; Toro, Eleuterio F.
2009
A new 3D parallel SPH scheme for free surface flows. Zbl 1242.76270
Ferrari, Angela; Dumbser, Michael; Toro, Eleuterio F.; Armanini, Aronne
2009
Very high order $$P_NP_M$$ schemes on unstructured meshes for the resistive relativistic MHD equations. Zbl 1261.76028
Dumbser, Michael; Zanotti, Olindo
2009
A high-order discontinuous Galerkin method with time-accurate local time stepping for the Maxwell equations. Zbl 1156.78012
Taube, Arne; Dumbser, Michael; Munz, Claus-Dieter; Schneider, Rudolf
2009
High-order unstructured one-step $$P_{N}P_{M}$$ schemes for the viscous and resistive MHD equations. Zbl 1231.76345
Dumbser, M.; Balsara, D. S.
2009
...and 22 more Documents
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### 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
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### 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
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### 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)