Edit Profile (opens in new tab) Munz, Claus-Dieter Compute Distance To: Compute Author ID: munz.claus-dieter Published as: Munz, Claus-Dieter; Munz, C.-D.; Munz, C. D.; Münz, Claus-Dieter more...less Documents Indexed: 122 Publications since 1982, including 3 Books 1 Contribution as Editor · 1 Further Contribution Biographic References: 1 Publication Co-Authors: 113 Co-Authors with 116 Joint Publications 1,523 Co-Co-Authors all top 5 Co-Authors 6 single-authored 23 Dumbser, Michael 21 Gassner, Gregor J. 16 Schneider, Rudolf 12 Beck, Andrea D. 10 Roller, Sabine 9 Klein, Rupert 9 Lörcher, Frieder 9 Schwartzkopff, Thomas 8 Hindenlang, Florian J. 7 Sonnendrücker, Eric 6 Fortenbach, Roland 6 Rohde, Christian 6 Voss, Ursula 5 Lee, Yong-Joong 4 Altmann, Christoph 4 Balsara, Dinshaw S. 4 Jöns, Steven 4 Kemm, Friedemann 4 Taube, Arne 4 Westermann, Thomas 3 Dürrwächter, Jakob 3 Fasoulas, S. 3 Fechter, Stefan 3 Filimon, Alexander 3 Geratz, K. J. 3 Göz, Manfred F. 3 Hitz, Timon 3 Iben, Uwe 3 Omnes, Pascal 3 Sonntag, Matthias 3 Staudenmaier, Marc 3 Toro, Eleuterio Francisco 2 Boger, Markus 2 Deininger, Martina 2 Flad, David G. 2 Heinen, Matthias 2 Hoffmann, Malte 2 Jaegle, Felix 2 Keim, Jens 2 Meister, Andreas 2 Meyer, Fabian 2 Mossier, Pascal 2 Müller, Christoph R. 2 Sonar, Thomas 2 Utzmann, Jens 2 Vrabec, Jadran 2 Weigand, Bernhard 2 Zeifang, Jonas 2 Zeiler, Christoph 1 Adamidis, Panagiotis 1 Ali, Irfan 1 Arun, K. R. 1 Atak, Muhammed 1 Auweter-Kurtz, Monika 1 Baumann, Kirstin 1 Becker, Stefan 1 Birken, Philipp 1 Bispen, Georgij 1 Boblest, Sebastian 1 Bolemann, Thomas 1 Botta, Nicola 1 Copplestone, S. M. 1 D’Andrea, D. 1 Dedner, Andreas S. 1 Demirdžić, Ismet 1 Einfeldt, Bernd 1 Ertl, Thomas 1 Ferrari, Angela 1 Fertig, Markus 1 Frank, Hannes 1 Frénod, Emmanuel 1 Gerlinger, O. 1 Glass, Colin W. 1 Haas, Mark 1 Halter, Eberhard 1 Helluy, Philippe 1 Hempert, F. 1 Hesthaven, Jan S. 1 Horenko, Illia 1 Igdalov, Dimitri 1 Jung, Jonathan 1 Junk, Michael 1 Kaiser, Klaus Hermann 1 Katscher, Ulrich 1 Kempf, Daniel 1 Kopper, Patrick 1 Krais, Nico 1 Kröner, Dietmar 1 Kurz, Marius 1 Lukáčová-Medvid’ová, Mária 1 Maruhn, Joachim Alexander 1 Metzner, Philipp 1 Millington, R. C. 1 Muzaferija, Samir 1 Noelle, Sebastian 1 Offenhäuser, P. 1 Perić, Milovan 1 Petkov, D. 1 Quandt, Markus 1 Ratzel, Marc ...and 19 more Co-Authors all top 5 Serials 23 Journal of Computational Physics 11 Computers and Fluids 7 Journal of Scientific Computing 6 Zeitschrift für Angewandte Mathematik und Mechanik (ZAMM) 3 Computer Physics Communications 3 SIAM Journal on Scientific Computing 3 European Series in Applied and Industrial Mathematics (ESAIM): Proceedings 2 International Journal for Numerical Methods in Fluids 2 Mathematical Methods in the Applied Sciences 2 Comptes Rendus. Mécanique. Académie des Sciences, Paris 2 PAMM. Proceedings in Applied Mathematics and Mechanics 1 Computers & Mathematics with Applications 1 Computer Methods in Applied Mechanics and Engineering 1 IMA Journal of Numerical Analysis 1 Jahresbericht der Deutschen Mathematiker-Vereinigung (DMV) 1 Journal of Engineering Mathematics 1 ZAMP. Zeitschrift für angewandte Mathematik und Physik 1 Applied Mathematics and Computation 1 International Journal for Numerical Methods in Engineering 1 SIAM Journal on Numerical Analysis 1 Physica D 1 Surveys on Mathematics for Industry 1 Computing and Visualization in Science 1 Comptes Rendus de l’Académie des Sciences. Série I. Mathématique 1 ZAMM. Zeitschrift für Angewandte Mathematik und Mechanik 1 International Journal of Numerical Modelling 1 International Journal of Applied Mathematics and Computer Science 1 International Journal of Modern Physics C 1 Journal of Hyperbolic Differential Equations 1 European Series in Applied and Industrial Mathematics (ESAIM): Mathematical Modelling and Numerical Analysis 1 Communications in Applied Mathematics and Computational Science 1 Communications in Computational Physics 1 Communications on Applied Mathematics and Computation all top 5 Fields 97 Fluid mechanics (76-XX) 58 Numerical analysis (65-XX) 26 Partial differential equations (35-XX) 16 Optics, electromagnetic theory (78-XX) 3 Classical thermodynamics, heat transfer (80-XX) 2 General and overarching topics; collections (00-XX) 2 Statistical mechanics, structure of matter (82-XX) 1 Ordinary differential equations (34-XX) 1 Mechanics of particles and systems (70-XX) 1 Mechanics of deformable solids (74-XX) Publications by Year all cited Publications top 5 cited Publications Citations contained in zbMATH Open 92 Publications have been cited 2,265 times in 1,351 Documents Cited by ▼ Year ▼ On Godunov-type methods near low densities. Zbl 0709.76102Einfeldt, B.; Munz, C. D.; Roe, P. L.; Sjögreen, B. 276 1991 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 260 2008 Hyperbolic divergence cleaning for the MHD equations. Zbl 1059.76040Dedner, A.; Kemm, F.; Kröner, D.; Munz, C.-D.; Schnitzer, T.; Wesenberg, M. 182 2002 Efficient, high accuracy ADER-WENO schemes for hydrodynamics and divergence-free magnetohydrodynamics. Zbl 1275.76169Balsara, Dinshaw S.; Rumpf, Tobias; Dumbser, Michael; Munz, Claus-Dieter 128 2009 Divergence correction techniques for Maxwell solvers based on a hyperbolic model. Zbl 0970.78010Munz, C.-D.; Omnes, P.; Schneider, R.; Sonnendrücker, E.; Voß, U. 82 2000 A contribution to the construction of diffusion fluxes for finite volume and discontinuous Galerkin schemes. Zbl 1123.76040Gassner, Gregor; Lörcher, Frieder; Munz, Claus-Dieter 80 2007 Building blocks for arbitrary high order discontinuous Galerkin schemes. Zbl 1115.65100Dumbser, Michael; Munz, Claus-Dieter 71 2006 Asymptotic adaptive methods for multi-scale problems in fluid mechanics. Zbl 1015.76071Klein, R.; Botta, N.; Schneider, T.; Munz, C. D.; Roller, S.; Meister, A.; Hoffmann, L.; Sonar, T. 68 2001 Explicit discontinuous Galerkin methods for unsteady problems. Zbl 1365.76117Hindenlang, Florian; Gassner, Gregor J.; Altmann, Christoph; Beck, Andrea; Staudenmaier, Marc; Munz, Claus-Dieter 68 2012 The extension of incompressible flow solvers to the weakly compressible regime. Zbl 1042.76045Munz, C.-D.; Roller, S.; Klein, R.; Geratz, K. J. 61 2003 ADER: A high-order approach for linear hyperbolic systems in 2D. Zbl 1022.76034Schwartzkopff, T.; Munz, C. D.; Toro, E. F. 58 2002 A weakly asymptotic preserving low Mach number scheme for the Euler equations of gas dynamics. Zbl 1321.76053Noelle, S.; Bispen, G.; Arun, K. R.; Lukáčová-Medviďová, M.; Munz, C.-D. 50 2014 On Godunov-type schemes for Lagrangian gas dynamics. Zbl 0796.76057Munz, C. D. 49 1994 Multiple pressure variables methods for fluid flow at all Mach numbers. Zbl 1170.76342Park, J. H.; Munz, C.-D. 46 2005 A discontinuous Galerkin scheme based on a space-time expansion. II: Viscous flow equations in multi dimensions. Zbl 1218.76027Gassner, G.; Lörcher, F.; Munz, C.-D. 46 2008 Fast high order ADER schemes for linear hyperbolic equations. Zbl 1052.65078Schwartzkopff, Thomas; Dumbser, Michael; Munz, Claus-Dieter 45 2004 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 45 2007 A discontinuous Galerkin scheme based on a space-time expansion. I: Inviscid compressible flow in one space dimension. Zbl 1143.76047Lörcher, F.; Gassner, G.; Munz, C.-D. 41 2007 Polymorphic nodal elements and their application in discontinuous Galerkin methods. Zbl 1267.76062Gassner, Gregor J.; Lörcher, Frieder; Munz, Claus-Dieter; Hesthaven, Jan S. 37 2009 Shock capturing for discontinuous Galerkin methods using finite volume subcells. Zbl 1426.76429Sonntag, Matthias; Munz, Claus-Dieter 34 2014 ADER discontinuous Galerkin schemes for aeroacoustics. Zbl 1107.76044Dumbser, Michael; Munz, Claus-Dieter 32 2005 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 31 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 30 2009 New algorithms for ultra-relativistic numerical hydrodynamics. Zbl 0779.76062Schneider, V.; Katscher, U.; Rischke, D. H.; Waldhauser, B.; Maruhn, J. A.; Munz, C.-D. 28 1993 Efficient parallelization of a shock capturing for discontinuous Galerkin methods using finite volume sub-cells. Zbl 1366.65089Sonntag, Matthias; Munz, Claus-Dieter 27 2017 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 Les équations de Maxwell quand la conservation de la charge n’est pas satisfaite. (Maxwell’s equations when the charge conservation is not satisfied.) Zbl 0937.78005Munz, Claus-Dieter; Schneider, Rudolf; Sonnendrücker, Eric; Voss, Ursula 22 1999 Efficient implementation of high order unstructured WENO schemes for cavitating flows. Zbl 1290.76098Dumbser, Michael; Iben, Uwe; Munz, Claus-Dieter 22 2013 Preconditioning for modal discontinuous Galerkin methods for unsteady 3D Navier-Stokes equations. Zbl 1426.76520Birken, Philipp; Gassner, Gregor; Haas, Mark; Munz, Claus-Dieter 20 2013 Simulation of underresolved turbulent flows by adaptive filtering using the high order discontinuous Galerkin spectral element method. Zbl 1349.76118Flad, David; Beck, Andrea; Munz, Claus-Dieter 19 2016 Linearized acoustic perturbation equations for low Mach number flow with variable density and temperature. Zbl 1261.76049Munz, Claus-Dieter; Dumbser, Michael; Roller, Sabine 19 2007 A low Mach number scheme based on multi-scale asymptotics. Zbl 1060.76630Roller, Sabine; Munz, Claus-Dieter 17 2000 A sharp interface method for compressible liquid-vapor flow with phase transition and surface tension. Zbl 1375.76194Fechter, Stefan; Munz, Claus-Dieter; Rohde, Christian; Zeiler, Christoph 16 2017 A three-dimensional finite-volume solver for the Maxwell equations with divergence cleaning on unstructured meshes. Zbl 0960.78019Munz, C.-D.; Omnes, P.; Schneider, R. 15 2000 An explicit discontinuous Galerkin scheme with local time-stepping for general unsteady diffusion equations. Zbl 1147.65077Lörcher, Frieder; Gassner, Gregor; Munz, Claus-Dieter 14 2008 FLEXI: a high order discontinuous Galerkin framework for hyperbolic-parabolic conservation laws. Zbl 1461.76347Krais, Nico; Beck, Andrea; Bolemann, Thomas; Frank, Hannes; Flad, David; Gassner, Gregor; Hindenlang, Florian; Hoffmann, Malte; Kuhn, Thomas; Sonntag, Matthias; Munz, Claus-Dieter 13 2021 A finite-volume method for the Maxwell equations in the time domain. Zbl 1039.78012Munz, C.-D.; Schneider, R.; Voss, U. 9 2000 A Runge-Kutta based discontinuous Galerkin method with time accurate local time stepping. Zbl 1358.76040Gassner, Gregor J.; Hindenlang, Florian; Munz, Claus-Dieter 9 2011 A high order sharp-interface method with local time stepping for compressible multiphase flows. Zbl 1284.76265Ferrari, Angela; Munz, Claus-Dieter; Weigand, Bernhard 9 2011 On the numerical dissipation of high resolution schemes for hyperbolic conservation laws. Zbl 0646.65073Munz, Claus-Dieter 8 1988 A tracking method for gas flow into vacuum based on the vacuum Riemann problem. Zbl 0803.76074Munz, C.-D. 8 1994 Approximate Riemann solvers for fluid flow with material interfaces. Zbl 0962.76572Göz, Manfred F.; Munz, Claus-Dieter 7 1998 Coupling of compressible and incompressible flow regions using the multiple pressure variables approach. Zbl 1307.76077Boger, Markus; Jaegle, Felix; Klein, Rupert; Munz, Claus-Dieter 7 2015 The ADER approach in 2D for a system of linear hyperbolic PDEs. Zbl 1028.76030Schwartzkopff, T.; Munz, C. D.; Toro, E. F.; Millington, R. C. 6 2001 On source terms and boundary conditions using arbitrary high order discontinuous Galerkin schemes. Zbl 1159.35305Dumbser, Michael; Munz, Claus-Dieter 6 2007 Efficient high-order discontinuous Galerkin computations of low Mach number flows. Zbl 1408.65091Zeifang, Jonas; Kaiser, Klaus; Beck, Andrea; Schütz, Jochen; Munz, Claus-Dieter 6 2018 Approximate Riemann solver for compressible liquid vapor flow with phase transition and surface tension. Zbl 1410.76171Fechter, Stefan; Munz, Claus-Dieter; Rohde, Christian; Zeiler, Christoph 6 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 5 2005 A finite-volume particle-in-cell method for the numerical treatment of Maxwell-Lorentz equations on boundary-fitted meshes. Zbl 0941.78015Munz, Claus-Dieter; Schneider, Rudolf; Sonnendrücker, Eric; Stein, Eckhardt; Voss, Ursula; Westermann, Thomas 5 1999 Lax-Wendroff-type schemes of arbitrary order in several space dimensions. Zbl 1119.65082Lörcher, Frieder; Munz, Claus-Dieter 4 2007 A space-time adaptive discontinuous Galerkin scheme. Zbl 1390.65106Gassner, Gregor; Staudenmaier, Marc; Hindenlang, Florian; Atak, Muhammed; Munz, Claus-Dieter 4 2015 Simulation of real gas effects in supersonic methane jets using a tabulated equation of state with a discontinuous Galerkin spectral element method. Zbl 1390.76273Hempert, F.; Boblest, S.; Ertl, T.; Sadlo, F.; Offenhäuser, P.; Glass, C. W.; Hoffmann, M.; Beck, A.; Munz, C.-D.; Iben, U. 4 2017 Direct simulation of aeroacoustics. Zbl 1180.76040Schwartzkopff, Thomas; Munz, Claus-Dieter 3 2003 Two statistical particle split and merge methods for particle-in-cell codes. Zbl 1344.82052Pfeiffer, M.; Mirza, A.; Munz, C.-D.; Fasoulas, S. 3 2015 Comparison of macro- and microscopic solutions of the Riemann problem. II: Two-phase shock tube. Zbl 07500759Hitz, Timon; Jöns, Steven; Heinen, Matthias; Vrabec, Jadran; Munz, Claus-Dieter 3 2021 An efficient sliding mesh interface method for high-order discontinuous Galerkin schemes. Zbl 07426144Dürrwächter, Jakob; Kurz, Marius; Kopper, Patrick; Kempf, Daniel; Munz, Claus-Dieter; Beck, Andrea 3 2021 The multiple pressure variables method for weakly compressible fluids. Zbl 0900.76515Roller, S.; Munz, C.-D.; Geratz, K. J.; Klein, R. 2 1997 Multiple scale considerations for sound generation in low Mach number flow. Zbl 1170.76354Fortenbach, R.; Frénod, E.; Klein, R.; Munz, C. D.; Sonnendrücker, E. 2 2003 Multiple-scale modelling of acoustic sources in low Mach-number flow. Zbl 1204.76032Munz, Claus-Dieter; Fortenbach, Roland; Dumbser, Michael 2 2005 Arbitrary high order finite-volume methods for electromagnetic wave propagation. Zbl 1196.65145Schwartzkopff, T.; Lörcher, F.; Munz, C.-D.; Schneider, R. 2 2006 Numerical simulations of compressible hydrodynamic instabilities with high resolution schemes. Zbl 0661.76043Munz, C.-D.; Schmidt, L. 2 1989 Divergence cleaning in finite-volume computations for electromagnetic wave propagations. Zbl 1062.78516Kemm, Friedemann; Lee, Yong-Joong; Munz, Claus-Dieter; Schneider, Rudolf 2 2002 A finite-volume method for the instationary Maxwell equations. Zbl 0925.65240Voss, U.; Munz, C.-D.; Schneider, R. 2 1996 Heterogeneous domain decomposition for numerical aeroacoustics. Zbl 1298.76122Utzmann, Jens; Schwartzkopff, Thomas; Dumbser, Michael; Munz, Claus-Dieter 2 2006 Aeroacoustic study of a forward facing step using linearized Euler equations. Zbl 1143.76567Ali, Irfan; Becker, Stefan; Utzmann, Jens; Munz, Claus-Dieter 2 2008 A Particle-In-Cell solver based on a high-order hybridizable discontinuous Galerkin spectral element method on unstructured curved meshes. Zbl 1441.76071Pfeiffer, M.; Hindenlang, F.; Binder, T.; Copplestone, S. M.; Munz, C.-D.; Fasoulas, S. 2 2019 Comparison of macro- and microscopic solutions of the Riemann problem. I: Supercritical shock tube and expansion into vacuum. Zbl 1453.76095Hitz, Timon; Heinen, Matthias; Vrabec, Jadran; Munz, Claus-Dieter 2 2020 A parabolic relaxation model for the Navier-Stokes-Korteweg equations. Zbl 07508350Hitz, Timon; Keim, Jens; Munz, Claus-Dieter; Rohde, Christian 2 2020 High order and underresolution. Zbl 1381.76154Beck, Andrea; Gassner, Gregor; Munz, Claus-Dieter 2 2013 A combined finite volume discontinuous Galerkin approach for the sharp-interface tracking in multi-phase flow. Zbl 1426.76362Fechter, Stefan; Munz, Claus-Dieter 2 2014 Evaluation of interface models for 3D-1D coupling of compressible Euler methods for the application on cavitating flows. Zbl 1329.76227Deininger, Martina; Jung, Jonathan; Skoda, Romuald; Helluy, Philippe; Munz, Claus-Dieter 2 2012 An approximate Riemann solver for advection-diffusion based on the generalized Riemann problem. Zbl 1476.65207Jöns, Steven; Munz, Claus-Dieter 2 2020 High-order finite volume schemes based on defect corrections. Zbl 1275.65052Filimon, Alexander; Dumbser, Michael; Munz, Claus-Dieter 2 2013 Shock detection and limiting strategies for high order discontinuous Galerkin schemes. Zbl 1169.76388Altmann, C.; Taube, A.; Gassner, G.; Lörcher, F.; Munz, C.-D. 1 2009 Hyperbolic GLM scheme for elliptic constraints in computational electromagnetics and MHD. Zbl 1171.78319Lee, Y. J.; Schneider, R.; Munz, C.-D.; Kemm, F. 1 2005 Numerical analysis of ordinary and partial differential equations. An interactive textbook for engineers. With CD-ROM. (Numerische Behandlung gewöhnlicher und partieller Differenzialgleichungen. Ein interaktives Lehrbuch für Ingenieure. Mit CD-ROM.) Zbl 1096.65001Munz, Claus-Dieter; Westermann, Thomas 1 2006 Hyperbolic partial differential equations. Theory, numerics and applications (with contributions by Michael Junk, Claus-Dieter Munz, Milovan Perić, Demirdžić, Samir Muzaferija, Giovanni Russo and Thomas Sonar). Zbl 1012.65086 1 2002 Hyperbolic divergence cleaning, the electrostatic limit, and potential boundary conditions for particle-in-cell codes. Zbl 1349.78073Pfeiffer, M.; Munz, C.-D.; Fasoulas, S. 1 2015 Numerical analysis of ordinary and partial differential equations. An interactive textbook for engineers. With CD-ROM. 2nd revised ed. (Numerische Behandlung gewöhnlicher und partieller Differenzialgleichungen. Ein interaktives Lehrbuch für Ingenieure. Mit CD-ROM.) Zbl 1165.65001Munz, Claus-Dieter; Westermann, Thomas 1 2009 Physical symmetries and hyperbolic GLM divergence correction scheme for Maxwell and MHD equations. Zbl 1091.78001Lee, Yong Joong; Kemm, F.; Munz, C.-D.; Schneider, R. 1 2003 Advanced hyperbolic divergence cleaning scheme for shallow water magnetohydrodynamics. Zbl 1140.76315Lee, Yong-Joong; Munz, Claus-Dieter 1 2004 The numerical approximation of a free gas-vacuum surface. Zbl 0874.76057Munz, C.-D.; Schneider, R.; Gerlinger, O. 1 1994 The multiple pressure variables method for fluid dynamics and aeroacoustics at low Mach numbers. Zbl 1210.76136Munz, C.-D.; Dumbser, M.; Zucchini, M. 1 2005 Discontinuous Galerkin schemes with defect corrections based on reconstruction. Zbl 1365.76114Filimon, Alexander; Dumbser, Michael; Munz, Claus-Dieter 1 2012 \(hp\)-multilevel Monte Carlo methods for uncertainty quantification of compressible Navier-Stokes equations. Zbl 1486.65002Beck, Andrea; Dürrwächter, Jakob; Kuhn, Thomas; Meyer, Fabian; Munz, Claus-Dieter; Rohde, Christian 1 2020 Riemann solvers for phase transition in a compressible sharp-interface method. Zbl 07627636Jöns, Steven; Munz, Claus-Dieter 1 2023 Recent advances and complex applications of the compressible ghost-fluid method. Zbl 1502.35115Jöns, Steven; Müller, Christoph; Zeifang, Jonas; Munz, Claus-Dieter 1 2021 Coupling of three- and one-dimensional hydraulic flow simulations. Zbl 1496.76009Deininger, Martina; Iben, Uwe; Munz, Claus-Dieter 1 2019 A pressure-based treatment for the direct numerical simulation of compressible multi-phase flow using multiple pressure variables. Zbl 1391.76200Boger, M.; Jaegle, F.; Weigand, B.; Munz, C.-D. 1 2014 Towards a stochastic closure approach for large eddy simulation. Zbl 1426.76193von Larcher, Th.; Klein, R.; Horenko, I.; Metzner, P.; Waidmann, M.; Igdalov, D.; Beck, A. D.; Gassner, G. J.; Munz, C.-D. 1 2014 On the effect of flux functions in discontinuous Galerkin simulations of underresolved turbulence. Zbl 1302.76079Beck, Andrea D.; Gassner, Gregor J.; Munz, Claus-Dieter 1 2014 Riemann solvers for phase transition in a compressible sharp-interface method. Zbl 07627636Jöns, Steven; Munz, Claus-Dieter 1 2023 FLEXI: a high order discontinuous Galerkin framework for hyperbolic-parabolic conservation laws. Zbl 1461.76347Krais, Nico; Beck, Andrea; Bolemann, Thomas; Frank, Hannes; Flad, David; Gassner, Gregor; Hindenlang, Florian; Hoffmann, Malte; Kuhn, Thomas; Sonntag, Matthias; Munz, Claus-Dieter 13 2021 Comparison of macro- and microscopic solutions of the Riemann problem. II: Two-phase shock tube. Zbl 07500759Hitz, Timon; Jöns, Steven; Heinen, Matthias; Vrabec, Jadran; Munz, Claus-Dieter 3 2021 An efficient sliding mesh interface method for high-order discontinuous Galerkin schemes. Zbl 07426144Dürrwächter, Jakob; Kurz, Marius; Kopper, Patrick; Kempf, Daniel; Munz, Claus-Dieter; Beck, Andrea 3 2021 Recent advances and complex applications of the compressible ghost-fluid method. Zbl 1502.35115Jöns, Steven; Müller, Christoph; Zeifang, Jonas; Munz, Claus-Dieter 1 2021 Comparison of macro- and microscopic solutions of the Riemann problem. I: Supercritical shock tube and expansion into vacuum. Zbl 1453.76095Hitz, Timon; Heinen, Matthias; Vrabec, Jadran; Munz, Claus-Dieter 2 2020 A parabolic relaxation model for the Navier-Stokes-Korteweg equations. Zbl 07508350Hitz, Timon; Keim, Jens; Munz, Claus-Dieter; Rohde, Christian 2 2020 An approximate Riemann solver for advection-diffusion based on the generalized Riemann problem. Zbl 1476.65207Jöns, Steven; Munz, Claus-Dieter 2 2020 \(hp\)-multilevel Monte Carlo methods for uncertainty quantification of compressible Navier-Stokes equations. Zbl 1486.65002Beck, Andrea; Dürrwächter, Jakob; Kuhn, Thomas; Meyer, Fabian; Munz, Claus-Dieter; Rohde, Christian 1 2020 A Particle-In-Cell solver based on a high-order hybridizable discontinuous Galerkin spectral element method on unstructured curved meshes. Zbl 1441.76071Pfeiffer, M.; Hindenlang, F.; Binder, T.; Copplestone, S. M.; Munz, C.-D.; Fasoulas, S. 2 2019 Coupling of three- and one-dimensional hydraulic flow simulations. Zbl 1496.76009Deininger, Martina; Iben, Uwe; Munz, Claus-Dieter 1 2019 Efficient high-order discontinuous Galerkin computations of low Mach number flows. Zbl 1408.65091Zeifang, Jonas; Kaiser, Klaus; Beck, Andrea; Schütz, Jochen; Munz, Claus-Dieter 6 2018 Approximate Riemann solver for compressible liquid vapor flow with phase transition and surface tension. Zbl 1410.76171Fechter, Stefan; Munz, Claus-Dieter; Rohde, Christian; Zeiler, Christoph 6 2018 Efficient parallelization of a shock capturing for discontinuous Galerkin methods using finite volume sub-cells. Zbl 1366.65089Sonntag, Matthias; Munz, Claus-Dieter 27 2017 A sharp interface method for compressible liquid-vapor flow with phase transition and surface tension. Zbl 1375.76194Fechter, Stefan; Munz, Claus-Dieter; Rohde, Christian; Zeiler, Christoph 16 2017 Simulation of real gas effects in supersonic methane jets using a tabulated equation of state with a discontinuous Galerkin spectral element method. Zbl 1390.76273Hempert, F.; Boblest, S.; Ertl, T.; Sadlo, F.; Offenhäuser, P.; Glass, C. W.; Hoffmann, M.; Beck, A.; Munz, C.-D.; Iben, U. 4 2017 Simulation of underresolved turbulent flows by adaptive filtering using the high order discontinuous Galerkin spectral element method. Zbl 1349.76118Flad, David; Beck, Andrea; Munz, Claus-Dieter 19 2016 Coupling of compressible and incompressible flow regions using the multiple pressure variables approach. Zbl 1307.76077Boger, Markus; Jaegle, Felix; Klein, Rupert; Munz, Claus-Dieter 7 2015 A space-time adaptive discontinuous Galerkin scheme. Zbl 1390.65106Gassner, Gregor; Staudenmaier, Marc; Hindenlang, Florian; Atak, Muhammed; Munz, Claus-Dieter 4 2015 Two statistical particle split and merge methods for particle-in-cell codes. Zbl 1344.82052Pfeiffer, M.; Mirza, A.; Munz, C.-D.; Fasoulas, S. 3 2015 Hyperbolic divergence cleaning, the electrostatic limit, and potential boundary conditions for particle-in-cell codes. Zbl 1349.78073Pfeiffer, M.; Munz, C.-D.; Fasoulas, S. 1 2015 A weakly asymptotic preserving low Mach number scheme for the Euler equations of gas dynamics. Zbl 1321.76053Noelle, S.; Bispen, G.; Arun, K. R.; Lukáčová-Medviďová, M.; Munz, C.-D. 50 2014 Shock capturing for discontinuous Galerkin methods using finite volume subcells. Zbl 1426.76429Sonntag, Matthias; Munz, Claus-Dieter 34 2014 A combined finite volume discontinuous Galerkin approach for the sharp-interface tracking in multi-phase flow. Zbl 1426.76362Fechter, Stefan; Munz, Claus-Dieter 2 2014 A pressure-based treatment for the direct numerical simulation of compressible multi-phase flow using multiple pressure variables. Zbl 1391.76200Boger, M.; Jaegle, F.; Weigand, B.; Munz, C.-D. 1 2014 Towards a stochastic closure approach for large eddy simulation. Zbl 1426.76193von Larcher, Th.; Klein, R.; Horenko, I.; Metzner, P.; Waidmann, M.; Igdalov, D.; Beck, A. D.; Gassner, G. J.; Munz, C.-D. 1 2014 On the effect of flux functions in discontinuous Galerkin simulations of underresolved turbulence. Zbl 1302.76079Beck, Andrea D.; Gassner, Gregor J.; Munz, Claus-Dieter 1 2014 Efficient implementation of high order unstructured WENO schemes for cavitating flows. Zbl 1290.76098Dumbser, Michael; Iben, Uwe; Munz, Claus-Dieter 22 2013 Preconditioning for modal discontinuous Galerkin methods for unsteady 3D Navier-Stokes equations. Zbl 1426.76520Birken, Philipp; Gassner, Gregor; Haas, Mark; Munz, Claus-Dieter 20 2013 High order and underresolution. Zbl 1381.76154Beck, Andrea; Gassner, Gregor; Munz, Claus-Dieter 2 2013 High-order finite volume schemes based on defect corrections. Zbl 1275.65052Filimon, Alexander; Dumbser, Michael; Munz, Claus-Dieter 2 2013 Explicit discontinuous Galerkin methods for unsteady problems. Zbl 1365.76117Hindenlang, Florian; Gassner, Gregor J.; Altmann, Christoph; Beck, Andrea; Staudenmaier, Marc; Munz, Claus-Dieter 68 2012 Evaluation of interface models for 3D-1D coupling of compressible Euler methods for the application on cavitating flows. Zbl 1329.76227Deininger, Martina; Jung, Jonathan; Skoda, Romuald; Helluy, Philippe; Munz, Claus-Dieter 2 2012 Discontinuous Galerkin schemes with defect corrections based on reconstruction. Zbl 1365.76114Filimon, Alexander; Dumbser, Michael; Munz, Claus-Dieter 1 2012 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 31 2011 A Runge-Kutta based discontinuous Galerkin method with time accurate local time stepping. Zbl 1358.76040Gassner, Gregor J.; Hindenlang, Florian; Munz, Claus-Dieter 9 2011 A high order sharp-interface method with local time stepping for compressible multiphase flows. Zbl 1284.76265Ferrari, Angela; Munz, Claus-Dieter; Weigand, Bernhard 9 2011 Efficient, high accuracy ADER-WENO schemes for hydrodynamics and divergence-free magnetohydrodynamics. Zbl 1275.76169Balsara, Dinshaw S.; Rumpf, Tobias; Dumbser, Michael; Munz, Claus-Dieter 128 2009 Polymorphic nodal elements and their application in discontinuous Galerkin methods. Zbl 1267.76062Gassner, Gregor J.; Lörcher, Frieder; Munz, Claus-Dieter; Hesthaven, Jan S. 37 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 30 2009 Shock detection and limiting strategies for high order discontinuous Galerkin schemes. Zbl 1169.76388Altmann, C.; Taube, A.; Gassner, G.; Lörcher, F.; Munz, C.-D. 1 2009 Numerical analysis of ordinary and partial differential equations. An interactive textbook for engineers. With CD-ROM. 2nd revised ed. (Numerische Behandlung gewöhnlicher und partieller Differenzialgleichungen. Ein interaktives Lehrbuch für Ingenieure. Mit CD-ROM.) Zbl 1165.65001Munz, Claus-Dieter; Westermann, Thomas 1 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 260 2008 A discontinuous Galerkin scheme based on a space-time expansion. II: Viscous flow equations in multi dimensions. Zbl 1218.76027Gassner, G.; Lörcher, F.; Munz, C.-D. 46 2008 An explicit discontinuous Galerkin scheme with local time-stepping for general unsteady diffusion equations. Zbl 1147.65077Lörcher, Frieder; Gassner, Gregor; Munz, Claus-Dieter 14 2008 Aeroacoustic study of a forward facing step using linearized Euler equations. Zbl 1143.76567Ali, Irfan; Becker, Stefan; Utzmann, Jens; Munz, Claus-Dieter 2 2008 A contribution to the construction of diffusion fluxes for finite volume and discontinuous Galerkin schemes. Zbl 1123.76040Gassner, Gregor; Lörcher, Frieder; Munz, Claus-Dieter 80 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 45 2007 A discontinuous Galerkin scheme based on a space-time expansion. I: Inviscid compressible flow in one space dimension. Zbl 1143.76047Lörcher, F.; Gassner, G.; Munz, C.-D. 41 2007 Arbitrary high-order discontinuous Galerkin schemes for the magnetohydrodynamic equations. Zbl 1176.76075Taube, Arne; Dumbser, Michael; Balsara, Dinshaw S.; Munz, Claus-Dieter 24 2007 Linearized acoustic perturbation equations for low Mach number flow with variable density and temperature. Zbl 1261.76049Munz, Claus-Dieter; Dumbser, Michael; Roller, Sabine 19 2007 On source terms and boundary conditions using arbitrary high order discontinuous Galerkin schemes. Zbl 1159.35305Dumbser, Michael; Munz, Claus-Dieter 6 2007 Lax-Wendroff-type schemes of arbitrary order in several space dimensions. Zbl 1119.65082Lörcher, Frieder; Munz, Claus-Dieter 4 2007 Building blocks for arbitrary high order discontinuous Galerkin schemes. Zbl 1115.65100Dumbser, Michael; Munz, Claus-Dieter 71 2006 Arbitrary high order finite-volume methods for electromagnetic wave propagation. Zbl 1196.65145Schwartzkopff, T.; Lörcher, F.; Munz, C.-D.; Schneider, R. 2 2006 Heterogeneous domain decomposition for numerical aeroacoustics. Zbl 1298.76122Utzmann, Jens; Schwartzkopff, Thomas; Dumbser, Michael; Munz, Claus-Dieter 2 2006 Numerical analysis of ordinary and partial differential equations. An interactive textbook for engineers. With CD-ROM. (Numerische Behandlung gewöhnlicher und partieller Differenzialgleichungen. Ein interaktives Lehrbuch für Ingenieure. Mit CD-ROM.) Zbl 1096.65001Munz, Claus-Dieter; Westermann, Thomas 1 2006 Multiple pressure variables methods for fluid flow at all Mach numbers. Zbl 1170.76342Park, J. H.; Munz, C.-D. 46 2005 ADER discontinuous Galerkin schemes for aeroacoustics. Zbl 1107.76044Dumbser, Michael; Munz, Claus-Dieter 32 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 5 2005 Multiple-scale modelling of acoustic sources in low Mach-number flow. Zbl 1204.76032Munz, Claus-Dieter; Fortenbach, Roland; Dumbser, Michael 2 2005 Hyperbolic GLM scheme for elliptic constraints in computational electromagnetics and MHD. Zbl 1171.78319Lee, Y. J.; Schneider, R.; Munz, C.-D.; Kemm, F. 1 2005 The multiple pressure variables method for fluid dynamics and aeroacoustics at low Mach numbers. Zbl 1210.76136Munz, C.-D.; Dumbser, M.; Zucchini, M. 1 2005 Fast high order ADER schemes for linear hyperbolic equations. Zbl 1052.65078Schwartzkopff, Thomas; Dumbser, Michael; Munz, Claus-Dieter 45 2004 Advanced hyperbolic divergence cleaning scheme for shallow water magnetohydrodynamics. Zbl 1140.76315Lee, Yong-Joong; Munz, Claus-Dieter 1 2004 The extension of incompressible flow solvers to the weakly compressible regime. Zbl 1042.76045Munz, C.-D.; Roller, S.; Klein, R.; Geratz, K. J. 61 2003 Direct simulation of aeroacoustics. Zbl 1180.76040Schwartzkopff, Thomas; Munz, Claus-Dieter 3 2003 Multiple scale considerations for sound generation in low Mach number flow. Zbl 1170.76354Fortenbach, R.; Frénod, E.; Klein, R.; Munz, C. D.; Sonnendrücker, E. 2 2003 Physical symmetries and hyperbolic GLM divergence correction scheme for Maxwell and MHD equations. Zbl 1091.78001Lee, Yong Joong; Kemm, F.; Munz, C.-D.; Schneider, R. 1 2003 Hyperbolic divergence cleaning for the MHD equations. Zbl 1059.76040Dedner, A.; Kemm, F.; Kröner, D.; Munz, C.-D.; Schnitzer, T.; Wesenberg, M. 182 2002 ADER: A high-order approach for linear hyperbolic systems in 2D. Zbl 1022.76034Schwartzkopff, T.; Munz, C. D.; Toro, E. F. 58 2002 Divergence cleaning in finite-volume computations for electromagnetic wave propagations. Zbl 1062.78516Kemm, Friedemann; Lee, Yong-Joong; Munz, Claus-Dieter; Schneider, Rudolf 2 2002 Hyperbolic partial differential equations. Theory, numerics and applications (with contributions by Michael Junk, Claus-Dieter Munz, Milovan Perić, Demirdžić, Samir Muzaferija, Giovanni Russo and Thomas Sonar). Zbl 1012.65086 1 2002 Asymptotic adaptive methods for multi-scale problems in fluid mechanics. Zbl 1015.76071Klein, R.; Botta, N.; Schneider, T.; Munz, C. D.; Roller, S.; Meister, A.; Hoffmann, L.; Sonar, T. 68 2001 The ADER approach in 2D for a system of linear hyperbolic PDEs. Zbl 1028.76030Schwartzkopff, T.; Munz, C. D.; Toro, E. F.; Millington, R. C. 6 2001 Divergence correction techniques for Maxwell solvers based on a hyperbolic model. Zbl 0970.78010Munz, C.-D.; Omnes, P.; Schneider, R.; Sonnendrücker, E.; Voß, U. 82 2000 A low Mach number scheme based on multi-scale asymptotics. Zbl 1060.76630Roller, Sabine; Munz, Claus-Dieter 17 2000 A three-dimensional finite-volume solver for the Maxwell equations with divergence cleaning on unstructured meshes. Zbl 0960.78019Munz, C.-D.; Omnes, P.; Schneider, R. 15 2000 A finite-volume method for the Maxwell equations in the time domain. Zbl 1039.78012Munz, C.-D.; Schneider, R.; Voss, U. 9 2000 Les équations de Maxwell quand la conservation de la charge n’est pas satisfaite. (Maxwell’s equations when the charge conservation is not satisfied.) Zbl 0937.78005Munz, Claus-Dieter; Schneider, Rudolf; Sonnendrücker, Eric; Voss, Ursula 22 1999 A finite-volume particle-in-cell method for the numerical treatment of Maxwell-Lorentz equations on boundary-fitted meshes. Zbl 0941.78015Munz, Claus-Dieter; Schneider, Rudolf; Sonnendrücker, Eric; Stein, Eckhardt; Voss, Ursula; Westermann, Thomas 5 1999 Approximate Riemann solvers for fluid flow with material interfaces. Zbl 0962.76572Göz, Manfred F.; Munz, Claus-Dieter 7 1998 The multiple pressure variables method for weakly compressible fluids. Zbl 0900.76515Roller, S.; Munz, C.-D.; Geratz, K. J.; Klein, R. 2 1997 A finite-volume method for the instationary Maxwell equations. Zbl 0925.65240Voss, U.; Munz, C.-D.; Schneider, R. 2 1996 On Godunov-type schemes for Lagrangian gas dynamics. Zbl 0796.76057Munz, C. D. 49 1994 A tracking method for gas flow into vacuum based on the vacuum Riemann problem. Zbl 0803.76074Munz, C.-D. 8 1994 The numerical approximation of a free gas-vacuum surface. Zbl 0874.76057Munz, C.-D.; Schneider, R.; Gerlinger, O. 1 1994 New algorithms for ultra-relativistic numerical hydrodynamics. Zbl 0779.76062Schneider, V.; Katscher, U.; Rischke, D. H.; Waldhauser, B.; Maruhn, J. A.; Munz, C.-D. 28 1993 On Godunov-type methods near low densities. Zbl 0709.76102Einfeldt, B.; Munz, C. D.; Roe, P. L.; Sjögreen, B. 276 1991 Numerical simulations of compressible hydrodynamic instabilities with high resolution schemes. Zbl 0661.76043Munz, C.-D.; Schmidt, L. 2 1989 On the numerical dissipation of high resolution schemes for hyperbolic conservation laws. Zbl 0646.65073Munz, Claus-Dieter 8 1988 all cited Publications top 5 cited Publications all top 5 Cited by 1,895 Authors 107 Dumbser, Michael 54 Munz, Claus-Dieter 42 Toro, Eleuterio Francisco 37 Balsara, Dinshaw S. 34 Gassner, Gregor J. 32 Shu, Chi-Wang 27 Boscheri, Walter 27 Qiu, Jianxian 20 Luo, Hong 17 Liu, Tiegang 17 Winters, Andrew R. 16 Feireisl, Eduard 16 Montecinos, Gino I. 15 Loubère, Raphaël 15 Tavelli, Maurizio 14 Schütz, Jochen 14 Tang, Huazhong 14 Zhu, Jun 13 Bassi, Francesco 13 Castro, Manuel J. 13 Parés Madroñal, Carlos 12 Busto, Saray 12 Capdeville, Guy 12 Cheng, Jian 12 Rohde, Christian 11 Beck, Andrea D. 11 Christlieb, Andrew J. 11 Klein, Rupert 11 Lombard, Bruno 11 Titarev, Vladimir A. 11 Tsoutsanis, Panagiotis 11 Xu, Kun 10 Abgrall, Rémi 10 Hidalgo, Arturo 9 Gaburro, Elena 9 Hindenlang, Florian J. 9 Kopriva, David Alan 9 Nourgaliev, Robert R. 8 Adams, Nikolaus A. 8 Botti, Lorenzo 8 Chan, Jesse 8 Chandrashekar, Praveen 8 Colombo, Alessandro G. 8 Dolejší, Vít 8 Ghidoni, Antonio 8 Hérard, Jean-Marc 8 Kim, Chongam 8 Russo, Giovanni 8 Seal, David C. 8 Shadid, John N. 7 Li, Fengyan 7 Li, Jiequan 7 Lörcher, Frieder 7 Lukáčová-Medvid’ová, Mária 7 Mendes, Odim Jun. 7 Murillo, Javier 7 Puppo, Gabriella 7 Ren, Yuxin 7 Schneider, Kai 7 Semplice, Matteo 7 Sonnendrücker, Eric 7 Wang, Qian 7 Wu, Kailiang 7 Zanotti, Olindo 7 Zeifang, Jonas 6 Cheng, Juan 6 Cyr, Eric C. 6 Drikakis, Dimitris 6 Gallardo, José M. 6 Garain, Sudip K. 6 Iben, Uwe 6 Kaiser, Klaus Hermann 6 Lee, Dongwook 6 Maire, Pierre-Henri 6 Nkonga, Boniface 6 Noelle, Sebastian 6 Nogueira, Xesús 6 Novotný, Antonín 6 Pawlowski, Roger P. 6 Xia, Yidong 5 Audit, Edouard 5 Bouchut, François 5 Crivellini, Andrea 5 Deng, Xiaogang 5 Després, Bruno 5 Fambri, Francesco 5 Gomes, Anna Karina Fontes 5 Grote, Marcus J. 5 Groth, Clinton P. T. 5 Hesthaven, Jan S. 5 Hu, Lijun 5 Ivan, Lucian 5 Jackson, Haran 5 Jacobs, Gustaaf B. 5 Kitamura, Keiichi 5 Klingenberg, Christian 5 Kronbichler, Martin 5 Kumar, Harish 5 Kumar, Rakesh 5 Kuzmin, Dmitri ...and 1,795 more Authors all top 5 Cited in 134 Serials 525 Journal of Computational Physics 175 Computers and Fluids 100 Journal of Scientific Computing 40 Applied Mathematics and Computation 33 Computer Methods in Applied Mechanics and Engineering 29 Communications in Computational Physics 28 SIAM Journal on Scientific Computing 23 Applied Numerical Mathematics 21 Journal of Computational and Applied Mathematics 19 Computers & Mathematics with Applications 17 International Journal for Numerical Methods in Fluids 14 Numerische Mathematik 11 International Journal of Computational Fluid Dynamics 10 Communications on Applied Mathematics and Computation 9 M\(^3\)AS. Mathematical Models & Methods in Applied Sciences 9 European Series in Applied and Industrial Mathematics (ESAIM): Mathematical Modelling and Numerical Analysis 8 Computer Physics Communications 8 Journal of Fluid Mechanics 8 Mathematics of Computation 8 SIAM Journal on Numerical Analysis 8 European Journal of Mechanics. B. Fluids 8 Matematicheskoe Modelirovanie 7 International Journal for Numerical Methods in Engineering 7 Advances in Applied Mathematics and Mechanics 6 Applied Mathematical Modelling 5 Mathematics and Computers in Simulation 5 Computational and Applied Mathematics 5 European Series in Applied and Industrial Mathematics (ESAIM): Proceedings 5 Communications in Applied Mathematics and Computational Science 4 Classical and Quantum Gravity 4 Fluid Dynamics 4 Mathematical Methods in the Applied Sciences 4 Wave Motion 4 Shock Waves 4 Numerical Methods for Partial Differential Equations 4 Advances in Computational Mathematics 4 ZAMM. Zeitschrift für Angewandte Mathematik und Mechanik 4 International Journal of Applied Mathematics and Computer Science 4 Living Reviews in Relativity 4 International Journal of Computational Methods 4 SMAI Journal of Computational Mathematics 3 ZAMP. Zeitschrift für angewandte Mathematik und Physik 3 BIT 3 Calcolo 3 Quarterly of Applied Mathematics 3 Communications in Nonlinear Science and Numerical Simulation 3 Archives of Computational Methods in Engineering 3 Journal of Hyperbolic Differential Equations 3 Numerical Mathematics: Theory, Methods and Applications 3 European Series in Applied and Industrial Mathematics (ESAIM): Proceedings and Surveys 3 International Journal on Finite Volumes 2 Applicable Analysis 2 Archive for Rational Mechanics and Analysis 2 Communications in Mathematical Physics 2 Geophysical and Astrophysical Fluid Dynamics 2 Journal of Engineering Mathematics 2 Journal of Mathematical Biology 2 Physica D 2 Applied Mathematics Letters 2 Applications of Mathematics 2 Numerical Algorithms 2 Communications in Partial Differential Equations 2 International Journal of Computer Mathematics 2 SIAM Journal on Applied Mathematics 2 International Journal of Numerical Methods for Heat & Fluid Flow 2 ETNA. Electronic Transactions on Numerical Analysis 2 Discrete and Continuous Dynamical Systems 2 Mathematical Problems in Engineering 2 Philosophical Transactions of the Royal Society of London. Series A. Mathematical, Physical and Engineering Sciences 2 Nonlinear Analysis. Real World Applications 2 Multiscale Modeling & Simulation 2 AMM. Applied Mathematics and Mechanics. (English Edition) 1 Astrophysics and Space Science 1 General Relativity and Gravitation 1 International Journal of Heat and Mass Transfer 1 Jahresbericht der Deutschen Mathematiker-Vereinigung (DMV) 1 Journal of Mathematical Analysis and Applications 1 Journal of Mathematical Physics 1 Mathematische Semesterberichte 1 Zhurnal Vychislitel’noĭ Matematiki i Matematicheskoĭ Fiziki 1 Theoretical and Computational Fluid Dynamics 1 Bulletin of the Polish Academy of Sciences. Technical Sciences 1 ACM Transactions on Mathematical Software 1 Journal of Differential Equations 1 Kybernetika 1 Meccanica 1 Applied Mathematics and Mechanics. (English Edition) 1 Journal of Computational Mathematics 1 Computational Mechanics 1 Mathematical and Computer Modelling 1 Journal of Elasticity 1 Journal de Mathématiques Pures et Appliquées. Neuvième Série 1 SIAM Journal on Mathematical Analysis 1 Continuum Mechanics and Thermodynamics 1 Communications in Numerical Methods in Engineering 1 Physics of Fluids 1 Russian Journal of Numerical Analysis and Mathematical Modelling 1 Science in China. Series E 1 Computing and Visualization in Science 1 Revista Matemática Complutense ...and 34 more Serials all top 5 Cited in 31 Fields 1,024 Fluid mechanics (76-XX) 894 Numerical analysis (65-XX) 426 Partial differential equations (35-XX) 54 Optics, electromagnetic theory (78-XX) 53 Mechanics of deformable solids (74-XX) 36 Geophysics (86-XX) 32 Statistical mechanics, structure of matter (82-XX) 28 Classical thermodynamics, heat transfer (80-XX) 22 Astronomy and astrophysics (85-XX) 18 Biology and other natural sciences (92-XX) 14 Relativity and gravitational theory (83-XX) 8 Computer science (68-XX) 7 Mechanics of particles and systems (70-XX) 6 Approximations and expansions (41-XX) 6 Probability theory and stochastic processes (60-XX) 5 Ordinary differential equations (34-XX) 5 Statistics (62-XX) 4 Dynamical systems and ergodic theory (37-XX) 4 Calculus of variations and optimal control; optimization (49-XX) 2 Special functions (33-XX) 2 Integral equations (45-XX) 2 Operations research, mathematical programming (90-XX) 2 Systems theory; control (93-XX) 1 General and overarching topics; collections (00-XX) 1 Number theory (11-XX) 1 Linear and multilinear algebra; matrix theory (15-XX) 1 Real functions (26-XX) 1 Measure and integration (28-XX) 1 Functional analysis (46-XX) 1 Operator theory (47-XX) 1 Global analysis, analysis on manifolds (58-XX) Citations by Year