Michael Dumbser

142 papers Journal 141Unranked 1

Year	Rank	Type	Title / Venue / Authors
2026	J	`jnl`	Convergence of a hyperbolic thermodynamically compatible finite volume scheme for the Euler equations. Numerische Mathematik Michael Dumbser, Mária Lukácová-Medvid'ová, Andrea Thomann
2026	J	`jnl`	Structure-Preserving Schemes for Nonlinear Symmetric Hyperbolic and Thermodynamically Compatible Systems of Partial Differential Equations. J. Sci. Comput. Alessia Lucca, Michael Dumbser
2025	J	`jnl`	A simple and general framework for the construction of exactly div-curl-grad compatible discontinuous Galerkin finite element schemes on unstructured simplex meshes. CoRR Rémi Abgrall, Michael Dumbser, Pierre-Henri Maire
2025	J	`jnl`	A simple and general framework for the construction of exactly div-curl-grad compatible discontinuous Galerkin finite element schemes on unstructured simplex meshes. J. Comput. Phys. Rémi Abgrall, Michael Dumbser, Pierre-Henri Maire
2025	J	`jnl`	A structure-preserving and thermodynamically compatible cell-centered Lagrangian finite volume scheme for continuum mechanics. CoRR Walter Boscheri, Michael Dumbser, Raphaël Loubère, Pierre-Henri Maire
2025	J	`jnl`	A structure-preserving semi-implicit four-split scheme for continuum mechanics. CoRR Michael Dumbser, Andrea Thomann, Maurizio Tavelli, Walter Boscheri
2025	J	`jnl`	A unified HTC multiphase model of continuum mechanics. J. Comput. Phys. Davide Ferrari, Ilya Peshkov, Evgeniy I. Romenski, Michael Dumbser
2025	J	`jnl`	An Exactly Curl-Free Finite-Volume/Finite-Difference Scheme for a Hyperbolic Compressible Isentropic Two-Phase Model. J. Sci. Comput. Laura Río-Martín, Firas Dhaouadi, Michael Dumbser
2025	J	`jnl`	An asymptotic-preserving and exactly mass-conservative semi-implicit scheme for weakly compressible flows based on compatible finite elements. J. Comput. Phys. Enrico Zampa, Michael Dumbser
2025	J	`jnl`	High order numerical discretizations of the Einstein-Euler equations in the Generalized Harmonic formulation. CoRR Stefano Muzzolon, Michael Dumbser, Olindo Zanotti, Elena Gaburro
2025	J	`jnl`	On general and complete multidimensional Riemann solvers for nonlinear systems of hyperbolic conservation laws. CoRR Elena Gaburro, Mario Ricchiuto, Michael Dumbser
2025	J	`jnl`	On simple well-balanced semi-implicit and explicit numerical methods for blood flow in networks of elastic vessels with applications to FFR prediction. J. Comput. Phys. Alessia Lucca, Lucas O. Müller, Luigi Fraccarollo, Eleuterio F. Toro, Michael Dumbser
2025	J	`jnl`	Preface for the special issue in memory of Sergei Godunov (17/07/1929 - 15/07/2023). J. Comput. Phys. Rémi Abgrall, Michael Dumbser, Pierre-Henri Maire, Ilya Peshkov, Evgeniy I. Romenski
2025	J	`jnl`	Structure-preserving schemes for nonlinear symmetric hyperbolic and thermodynamically compatible systems of partial differential equations. CoRR Alessia Lucca, Michael Dumbser
2024	J	`jnl`	A New Thermodynamically Compatible Finite Volume Scheme for Lagrangian Gas Dynamics. SIAM J. Sci. Comput. Walter Boscheri, Michael Dumbser, Pierre-Henri Maire
2024	J	`jnl`	A first-order hyperbolic reformulation of the Cahn-Hilliard equation. CoRR Firas Dhaouadi, Michael Dumbser, Sergey L. Gavrilyuk
2024	J	`jnl`	A monolithic first-order BSSNOK formulation of the Einstein-Euler equations and its solution with path-conservative finite difference CWENO schemes. CoRR Michael Dumbser, Olindo Zanotti, Gabriella Puppo
2024	J	`jnl`	A unified SHTC multiphase model of continuum mechanics. CoRR Davide Ferrari, Ilya Peshkov, Evgeniy I. Romenski, Michael Dumbser
2024	J	`jnl`	A well-balanced discontinuous Galerkin method for the first-order Z4 formulation of the Einstein-Euler system. J. Comput. Phys. Michael Dumbser, Olindo Zanotti, Elena Gaburro, Ilya Peshkov
2024	J	`jnl`	An all Mach number semi-implicit hybrid Finite Volume/Virtual Element method for compressible viscous flows on Voronoi meshes. CoRR Walter Boscheri, Saray Busto, Michael Dumbser
2024	J	`jnl`	An asymptotic-preserving and exactly mass-conservative semi-implicit scheme for weakly compressible flows based on compatible finite elements. CoRR Enrico Zampa, Michael Dumbser
2024	J	`jnl`	An exactly curl-free finite-volume scheme for a hyperbolic compressible barotropic two-phase model. CoRR Laura Río-Martín, Firas Dhaouadi, Michael Dumbser
2024	J	`jnl`	Convergence of a Hyperbolic Thermodynamically Compatible Finite Volume scheme for the Euler equations. CoRR Michael Dumbser, Mária Lukácová-Medvid'ová, Andrea Thomann
2024	J	`jnl`	High order discontinuous Galerkin schemes with subcell finite volume limiter and AMR for a monolithic first-order BSSNOK formulation of the Einstein-Euler equations. CoRR Michael Dumbser, Olindo Zanotti, Ilya Peshkov
2024	J	`jnl`	Variational derivation and compatible discretizations of the Maxwell-GLM system. CoRR Michael Dumbser, Alessia Lucca, Ilya Peshkov, Olindo Zanotti
2024	J	`jnl`	Well-balanced high order finite difference WENO schemes for a first-order Z4 formulation of the Einstein field equations. CoRR Dinshaw S. Balsara, Deepak Bhoriya, Olindo Zanotti, Michael Dumbser
2023	J	`jnl`	A New Thermodynamically Compatible Finite Volume Scheme for Magnetohydrodynamics. SIAM J. Numer. Anal. Saray Busto, Michael Dumbser
2023	J	`jnl`	A new thermodynamically compatible finite volume scheme for Lagrangian gas dynamics. CoRR Walter Boscheri, Michael Dumbser, Pierre-Henri Maire
2023	J	`jnl`	A new thermodynamically compatible finite volume scheme for magnetohydrodynamics. CoRR Saray Busto, Michael Dumbser
2023	J	`jnl`	A semi-implicit finite volume scheme for blood flow in elastic and viscoelastic vessels. J. Comput. Phys. Alessia Lucca, Saray Busto, Lucas O. Müller, Eleuterio F. Toro, Michael Dumbser
2023	J	`jnl`	A semi-implicit hybrid finite volume / finite element scheme for all Mach number flows on staggered unstructured meshes. CoRR Saray Busto, Laura Río-Martín, María Elena Vázquez-Cendón, Michael Dumbser
2023	J	`jnl`	A simple and general framework for the construction of thermodynamically compatible schemes for computational fluid and solid mechanics. Appl. Math. Comput. Rémi Abgrall, Saray Busto, Michael Dumbser
2023	J	`jnl`	A staggered semi-implicit hybrid finite volume / finite element scheme for the shallow water equations at all Froude numbers. CoRR Saray Busto, Michael Dumbser
2023	J	`jnl`	A well-balanced and exactly divergence-free staggered semi-implicit hybrid finite volume / finite element scheme for the incompressible MHD equations. J. Comput. Phys. Francesco Fambri, Enrico Zampa, Saray Busto, Laura Río-Martín, Florian Hindenlang, Eric Sonnendrücker, Michael Dumbser
2023	J	`jnl`	A well-balanced and exactly divergence-free staggered semi-implicit hybrid finite volume/finite element scheme for the incompressible MHD equations. CoRR Francesco Fambri, Enrico Zampa, Saray Busto, Laura Río-Martín, Florian Hindenlang, Eric Sonnendrücker, Michael Dumbser
2023	J	`jnl`	A well-balanced discontinuous Galerkin method for the first-order Z4 formulation of the Einstein-Euler system. CoRR Michael Dumbser, Olindo Zanotti, Elena Gaburro, Ilya Peshkov
2023	J	`jnl`	An Arbitrary-Lagrangian-Eulerian hybrid finite volume/finite element method on moving unstructured meshes for the Navier-Stokes equations. Appl. Math. Comput. Saray Busto, Michael Dumbser, Laura Río-Martín
2023	J	`jnl`	An Arbitrary-Lagrangian-Eulerian hybrid finite volume/finite element method on moving unstructured meshes for the Navier-Stokes equations. CoRR Saray Busto, Michael Dumbser, Laura Río-Martín
2023	J	`jnl`	An Exactly Curl-Free Staggered Semi-Implicit Finite Volume Scheme for a First Order Hyperbolic Model of Viscous Two-Phase Flows with Surface Tension. J. Sci. Comput. Simone Chiocchetti, Michael Dumbser
2023	J	`jnl`	An implicit staggered hybrid finite volume/finite element solver for the incompressible Navier-Stokes equations. CoRR Alessia Lucca, Saray Busto, Michael Dumbser
2023	J	`jnl`	High-order ADER Discontinuous Galerkin schemes for a symmetric hyperbolic model of compressible barotropic two-fluid flows. CoRR Laura Río-Martín, Michael Dumbser
2023	J	`jnl`	On thermodynamically compatible finite volume schemes for continuum mechanics. CoRR Saray Busto, Michael Dumbser, Ilya Peshkov, Evgeniy I. Romenski
2023	J	`jnl`	Preface for the special issue "Hyperbolic PDE in computational physics: Advanced mathematical models and structure-preserving numerics". Appl. Math. Comput. Michael Dumbser, Saray Busto, M. Elena Vázquez-Cendón, Ilya Peshkov
2023	J	`jnl`	Thermodynamically Compatible Discretization of a Compressible Two-Fluid Model with Two Entropy Inequalities. J. Sci. Comput. Andrea Thomann, Michael Dumbser
2022	J	`jnl`	A New Family of Thermodynamically Compatible Discontinuous Galerkin Methods for Continuum Mechanics and Turbulent Shallow Water Flows. J. Sci. Comput. Saray Busto, Michael Dumbser
2022	J	`jnl`	A first order hyperbolic reformulation of the Navier-Stokes-Korteweg system based on the GPR model and an augmented Lagrangian approach. J. Comput. Phys. Firas Dhaouadi, Michael Dumbser
2022	J	`jnl`	An Arbitrary High Order Well-Balanced ADER-DG Numerical Scheme for the Multilayer Shallow-Water Model with Variable Density. J. Sci. Comput. Ernesto Guerrero Fernández, Manuel Jesús Castro Díaz, Michael Dumbser, Tomás Morales de Luna
2022	J	`jnl`	An exactly curl-free staggered semi-implicit finite volume scheme for a first order hyperbolic model of viscous flow with surface tension. CoRR Simone Chiocchetti, Michael Dumbser
2022	J	`jnl`	Continuous finite element subgrid basis functions for Discontinuous Galerkin schemes on unstructured polygonal Voronoi meshes. CoRR Walter Boscheri, Michael Dumbser, Elena Gaburro
2022	J	`jnl`	Exact and Numerical Solutions of the Riemann Problem for a Conservative Model of Compressible Two-Phase Flows. J. Sci. Comput. Ferdinand Thein, Evgeniy I. Romenski, Michael Dumbser
2022	J	`jnl`	On Thermodynamically Compatible Finite Volume Schemes for Continuum Mechanics. SIAM J. Sci. Comput. Saray Busto, Michael Dumbser, Ilya Peshkov, Evgeniy I. Romenski
2021	J	`jnl`	A Posteriori Subcell Finite Volume Limiter for General P J. Sci. Comput. Elena Gaburro, Michael Dumbser
2021	J	`jnl`	A Well Balanced Finite Volume Scheme for General Relativity. SIAM J. Sci. Comput. Elena Gaburro, Manuel J. Castro, Michael Dumbser
2021	J	`jnl`	A semi-implicit hybrid finite volume/finite element scheme for all Mach number flows on staggered unstructured meshes. Appl. Math. Comput. Saray Busto, Laura Río-Martín, M. Elena Vázquez-Cendón, Michael Dumbser
2021	J	`jnl`	A structure-preserving staggered semi-implicit finite volume scheme for continuum mechanics. J. Comput. Phys. Walter Boscheri, Michael Dumbser, Matteo Ioriatti, Ilya Peshkov, Evgeniy I. Romenski
2021	J	`jnl`	A well balanced finite volume scheme for general relativity. CoRR Elena Gaburro, Manuel J. Castro, Michael Dumbser
2021	J	`jnl`	High order ADER schemes and GLM curl cleaning for a first order hyperbolic formulation of compressible flow with surface tension. J. Comput. Phys. Simone Chiocchetti, Ilya Peshkov, Sergey L. Gavrilyuk, Michael Dumbser
2021	J	`jnl`	On High Order ADER Discontinuous Galerkin Schemes for First Order Hyperbolic Reformulations of Nonlinear Dispersive Systems. J. Sci. Comput. Saray Busto, Michael Dumbser, Cipriano Escalante, Nicolas Favrie, Sergey L. Gavrilyuk
2021	J	`jnl`	On Thermodynamically Compatible Finite Volume Methods and Path-Conservative ADER Discontinuous Galerkin Schemes for Turbulent Shallow Water Flows. J. Sci. Comput. Saray Busto, Michael Dumbser, Sergey L. Gavrilyuk, Kseniya Ivanova
2020	J	`jnl`	A Staggered Semi-implicit Discontinuous Galerkin Scheme with a Posteriori Subcell Finite Volume Limiter for the Euler Equations of Gasdynamics. J. Sci. Comput. Matteo Ioriatti, Michael Dumbser, Raphaël Loubère
2020	J	`jnl`	A hyperbolic reformulation of the Serre-Green-Naghdi model for general bottom topographies. CoRR Caterina Bassi, Luca Bonaventura, Saray Busto, Michael Dumbser
2020	J	`jnl`	A novel staggered semi-implicit space-time discontinuous Galerkin method for the incompressible Navier-Stokes equations. CoRR Francesco Lohengrin Romeo, Michael Dumbser, Maurizio Tavelli
2020	J	`jnl`	A posteriori subcell finite volume limiter for general PNPM schemes: applications from gasdynamics to relativistic magnetohydrodynamics. CoRR Elena Gaburro, Michael Dumbser
2020	J	`jnl`	A simple diffuse interface approach for compressible flows around moving solids of arbitrary shape based on a reduced Baer-Nunziato model. CoRR Friedemann Kemm, Elena Gaburro, Ferdinand Thein, Michael Dumbser
2020	J	`jnl`	A staggered semi-implicit hybrid FV/FE projection method for weakly compressible flows. J. Comput. Phys. Alfredo Bermúdez, Saray Busto, Michael Dumbser, Jose Luis Ferrín, Laura Saavedra, M. Elena Vázquez-Cendón
2020	J	`jnl`	A structure-preserving staggered semi-implicit finite volume scheme for continuum mechanics. CoRR Walter Boscheri, Michael Dumbser, Matteo Ioriatti, Ilya Peshkov, Evgeniy I. Romenski
2020	J	`jnl`	Curl constraint-preserving reconstruction and the guidance it gives for mimetic scheme design. CoRR Dinshaw S. Balsara, Roger Käppeli, Walter Boscheri, Michael Dumbser
2020	J	`jnl`	ExaHyPE: An engine for parallel dynamically adaptive simulations of wave problems. Comput. Phys. Commun. Anne Reinarz, Dominic Etienne Charrier, Michael Bader, Luke Bovard, Michael Dumbser, Kenneth Duru, Francesco Fambri, Alice-Agnes Gabriel, Jean-Matthieu Gallard, Sven Köppel, Lukas Krenz, Leonhard Rannabauer, Luciano Rezzolla, Philipp Samfass, Maurizio Tavelli, Tobias Weinzierl
2020	J	`jnl`	High order ADER schemes and GLM curl cleaning for a first order hyperbolic formulation of compressible flow with surface tension. CoRR Simone Chiocchetti, Ilya Peshkov, Sergey L. Gavrilyuk, Michael Dumbser
2020	J	`jnl`	High order ADER-DG schemes for the simulation of linear seismic waves induced by nonlinear dispersive free-surface water waves. CoRR Caterina Bassi, Saray Busto, Michael Dumbser
2020	J	`jnl`	High order direct Arbitrary-Lagrangian-Eulerian schemes on moving Voronoi meshes with topology changes. J. Comput. Phys. Elena Gaburro, Walter Boscheri, Simone Chiocchetti, Christian Klingenberg, Volker Springel, Michael Dumbser
2020	J	`jnl`	Modeling solid-fluid transformations in non-Newtonian viscoplastic flows with a unified flow theory. CoRR Ilya Peshkov, Michael Dumbser, Walter Boscheri, Evgeniy I. Romenski, Simone Chiocchetti, Matteo Ioriatti
2020	J	`jnl`	On GLM curl cleaning for a first order reduction of the CCZ4 formulation of the Einstein field equations. J. Comput. Phys. Michael Dumbser, Francesco Fambri, Elena Gaburro, Anne Reinarz
2020	J	`jnl`	On numerical methods for hyperbolic PDE with curl involutions. CoRR Michael Dumbser, Simone Chiocchetti, Ilya Peshkov
2020	J	`jnl`	Space-time adaptive ADER discontinuous Galerkin schemes for nonlinear hyperelasticity with material failure. CoRR Maurizio Tavelli, Simone Chiocchetti, Evgeniy I. Romenski, Alice-Agnes Gabriel, Michael Dumbser
2020	J	`jnl`	Space-time adaptive ADER discontinuous Galerkin schemes for nonlinear hyperelasticity with material failure. J. Comput. Phys. Maurizio Tavelli, Simone Chiocchetti, Evgeniy I. Romenski, Alice-Agnes Gabriel, Michael Dumbser
2019	J	`jnl`	A simple diffuse interface approach on adaptive Cartesian grids for the linear elastic wave equations with complex topography. J. Comput. Phys. Maurizio Tavelli, Michael Dumbser, Dominic Etienne Charrier, Leonhard Rannabauer, Tobias Weinzierl, Michael Bader
2019	J	`jnl`	An efficient hyperbolic relaxation system for dispersive non-hydrostatic water waves and its solution with high order discontinuous Galerkin schemes. J. Comput. Phys. Cipriano Escalante, Michael Dumbser, Manuel Jesús Castro Díaz
2019	J	`jnl`	Efficient high order accurate staggered semi-implicit discontinuous Galerkin methods for natural convection problems. CoRR Saray Busto, Maurizio Tavelli, Walter Boscheri, Michael Dumbser
2019	J	`jnl`	ExaHyPE: An Engine for Parallel Dynamically Adaptive Simulations of Wave Problems. CoRR Anne Reinarz, Dominic Etienne Charrier, Michael Bader, Luke Bovard, Michael Dumbser, Kenneth Duru, Francesco Fambri, Alice-Agnes Gabriel, Jean-Mathieu Gallard, Sven Köppel, Lukas Krenz, Leonhard Rannabauer, Luciano Rezzolla, Philipp Samfass, Maurizio Tavelli, Tobias Weinzierl
2019	J	`jnl`	FORCE schemes on moving unstructured meshes for hyperbolic systems. Comput. Math. Appl. Walter Boscheri, Michael Dumbser, Maurizio Righetti
2019	J	`jnl`	High order ADER schemes for continuum mechanics. CoRR Saray Busto, Simone Chiocchetti, Michael Dumbser, Elena Gaburro, Ilya Peshkov
2019	J	`jnl`	Numerical methods for hydraulic transients in visco-elastic pipes. CoRR Giulia Bertaglia, Matteo Ioriatti, Alessandro Valiani, Michael Dumbser, Valerio Caleffi
2019	J	`jnl`	On GLM curl cleaning for a first order reduction of the CCZ4 formulation of the Einstein field equations. CoRR Michael Dumbser, Francesco Fambri, Elena Gaburro
2019	J	`jnl`	Studies on the energy and deep memory behaviour of a cache-oblivious, task-based hyperbolic PDE solver. Int. J. High Perform. Comput. Appl. Dominic Etienne Charrier, Benjamin Hazelwood, Ekaterina O. Tutlyaeva, Michael Bader, Michael Dumbser, Andrey Kudryavtsev, Alexander A. Moskovsky, Tobias Weinzierl
2019	J	`jnl`	Theoretical and numerical comparison of hyperelastic and hypoelastic formulations for Eulerian non-linear elastoplasticity. J. Comput. Phys. Ilya Peshkov, Walter Boscheri, Raphaël Loubère, Evgeniy I. Romenski, Michael Dumbser
2018	J	`jnl`	A Flux Splitting Method for the SHTC Model for High-performance Simulations of Two-phase Flows. Supercomput. Front. Innov. Nadezhda S. Smirnova, Michael Dumbser, Mikhail N. Petrov, Alexander V. Chikitkin, Evgeniy I. Romenski
2018	J	`jnl`	A second-order cell-centered Lagrangian ADER-MOOD finite volume scheme on multidimensional unstructured meshes for hydrodynamics. J. Comput. Phys. Walter Boscheri, Michael Dumbser, Raphaël Loubère, Pierre-Henri Maire
2018	J	`jnl`	Arbitrary high order accurate space-time discontinuous Galerkin finite element schemes on staggered unstructured meshes for linear elasticity. J. Comput. Phys. Maurizio Tavelli, Michael Dumbser
2018	J	`jnl`	Efficient Implementation of ADER Discontinuous Galerkin Schemes for a Scalable Hyperbolic PDE Engine. Axioms Michael Dumbser, Francesco Fambri, Maurizio Tavelli, Michael Bader, Tobias Weinzierl
2018	J	`jnl`	Staggered discontinuous Galerkin methods for the incompressible Navier-Stokes equations: Spectral analysis and computational results. Numer. Linear Algebra Appl. Michael Dumbser, Francesco Fambri, Isabella Furci, Mariarosa Mazza, Stefano Serra-Capizzano, Maurizio Tavelli
2017	J	`jnl`	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. J. Comput. Phys. Maurizio Tavelli, Michael Dumbser
2017	J	`jnl`	Arbitrary-Lagrangian-Eulerian Discontinuous Galerkin schemes with a posteriori subcell finite volume limiting on moving unstructured meshes. J. Comput. Phys. Walter Boscheri, Michael Dumbser
2017	J	`jnl`	Central Weighted ENO Schemes for Hyperbolic Conservation Laws on Fixed and Moving Unstructured Meshes. SIAM J. Sci. Comput. Michael Dumbser, Walter Boscheri, Matteo Semplice, Giovanni Russo
2017	J	`jnl`	High order ADER schemes for a unified first order hyperbolic formulation of Newtonian continuum mechanics coupled with electro-dynamics. J. Comput. Phys. Michael Dumbser, Ilya Peshkov, Evgeniy I. Romenski, Olindo Zanotti
2017	J	`jnl`	Space-time adaptive ADER-DG schemes for dissipative flows: Compressible Navier-Stokes and resistive MHD equations. Comput. Phys. Commun. Francesco Fambri, Michael Dumbser, Olindo Zanotti
2016	J	`jnl`	A Novel Solver for the Generalized Riemann Problem Based on a Simplified LeFloch-Raviart Expansion and a Local Space-Time Discontinuous Galerkin Formulation. J. Sci. Comput. Claus R. Goetz, Michael Dumbser
2016	J	`jnl`	A conservative, weakly nonlinear semi-implicit finite volume scheme for the compressible Navier-Stokes equations with general equation of state. Appl. Math. Comput. Michael Dumbser, Vincenzo Casulli
2016	J	`jnl`	A new efficient formulation of the HLLEM Riemann solver for general conservative and non-conservative hyperbolic systems. J. Comput. Phys. Michael Dumbser, Dinshaw S. Balsara
2016	J	`jnl`	A simple robust and accurate a posteriori sub-cell finite volume limiter for the discontinuous Galerkin method on unstructured meshes. J. Comput. Phys. Michael Dumbser, Raphaël Loubère
2016	J	`jnl`	A space-time discontinuous Galerkin method for Boussinesq-type equations. Appl. Math. Comput. Michael Dumbser, Matteo Facchini
2016	J	`jnl`	A staggered space-time discontinuous Galerkin method for the three-dimensional incompressible Navier-Stokes equations on unstructured tetrahedral meshes. J. Comput. Phys. Maurizio Tavelli, Michael Dumbser
2016	J	`jnl`	A two-dimensional Riemann solver with self-similar sub-structure - Alternative formulation based on least squares projection. J. Comput. Phys. Dinshaw S. Balsara, Jeaniffer Vides, Katharine F. Gurski, Boniface Nkonga, Michael Dumbser, Sudip Garain, Edouard Audit
2016	J	`jnl`	An Efficient Quadrature-Free Formulation for High Order Arbitrary-Lagrangian-Eulerian ADER-WENO Finite Volume Schemes on Unstructured Meshes. J. Sci. Comput. Walter Boscheri, Michael Dumbser
2016	J	`jnl`	High order ADER schemes for a unified first order hyperbolic formulation of continuum mechanics: Viscous heat-conducting fluids and elastic solids. J. Comput. Phys. Michael Dumbser, Ilya Peshkov, Evgeniy I. Romenski, Olindo Zanotti
2016	J	`jnl`	Preface to the special issue "Recent Advances in Numerical Methods for Hyperbolic Partial Differential Equations". Appl. Math. Comput. Michael Dumbser, Gregor Gassner, Christian Rohde, Sabine Roller
2015	—	`conf`	A New Hllem-Type Riemann Solver for Compressible Multi-phase Flows with Surface Tension. ACOMP Nguyen T. Nguyen, Michael Dumbser
2015	J	`jnl`	A high order special relativistic hydrodynamic and magnetohydrodynamic code with space-time adaptive mesh refinement. Comput. Phys. Commun. Olindo Zanotti, Michael Dumbser
2015	J	`jnl`	A path-conservative finite volume scheme for compressible multi-phase flows with surface tension. Appl. Math. Comput. Nguyen T. Nguyen, Michael Dumbser
2015	J	`jnl`	Direct Arbitrary-Lagrangian-Eulerian ADER-MOOD finite volume schemes for multidimensional hyperbolic conservation laws. J. Comput. Phys. Walter Boscheri, Raphaël Loubère, Michael Dumbser
2015	J	`jnl`	Divergence-free MHD on unstructured meshes using high order finite volume schemes based on multidimensional Riemann solvers. J. Comput. Phys. Dinshaw S. Balsara, Michael Dumbser
2015	J	`jnl`	High order cell-centered Lagrangian-type finite volume schemes with time-accurate local time stepping on unstructured triangular meshes. J. Comput. Phys. Walter Boscheri, Michael Dumbser, Olindo Zanotti
2015	J	`jnl`	Multidimensional Riemann problem with self-similar internal structure. Part II - Application to hyperbolic conservation laws on unstructured meshes. J. Comput. Phys. Dinshaw S. Balsara, Michael Dumbser
2014	J	`jnl`	A direct Arbitrary-Lagrangian-Eulerian ADER-WENO finite volume scheme on unstructured tetrahedral meshes for conservative and non-conservative hyperbolic systems in 3D. J. Comput. Phys. Walter Boscheri, Michael Dumbser
2014	J	`jnl`	A high order semi-implicit discontinuous Galerkin method for the two dimensional shallow water equations on staggered unstructured meshes. Appl. Math. Comput. Maurizio Tavelli, Michael Dumbser
2014	J	`jnl`	A new class of Moving-Least-Squares WENO-SPH schemes. J. Comput. Phys. Diego Avesani, Michael Dumbser, Alberto Bellin
2014	J	`jnl`	A posteriori subcell limiting of the discontinuous Galerkin finite element method for hyperbolic conservation laws. J. Comput. Phys. Michael Dumbser, Olindo Zanotti, Raphaël Loubère, Steven Diot
2014	J	`jnl`	A staggered semi-implicit discontinuous Galerkin method for the two dimensional incompressible Navier-Stokes equations. Appl. Math. Comput. Maurizio Tavelli, Michael Dumbser
2014	J	`jnl`	Construction and comparison of parallel implicit kinetic solvers in three spatial dimensions. J. Comput. Phys. Vladimir A. Titarev, Michael Dumbser, Sergey V. Utyuzhnikov
2014	J	`jnl`	Lagrangian ADER-WENO finite volume schemes on unstructured triangular meshes based on genuinely multidimensional HLL Riemann solvers. J. Comput. Phys. Walter Boscheri, Dinshaw S. Balsara, Michael Dumbser
2014	J	`jnl`	Multidimensional HLLC Riemann solver for unstructured meshes - With application to Euler and MHD flows. J. Comput. Phys. Dinshaw S. Balsara, Michael Dumbser, Rémi Abgrall
2013	J	`jnl`	A staggered semi-implicit spectral discontinuous Galerkin scheme for the shallow water equations. Appl. Math. Comput. Michael Dumbser, Vincenzo Casulli
2013	J	`jnl`	ADER-WENO finite volume schemes with space-time adaptive mesh refinement. J. Comput. Phys. Michael Dumbser, Olindo Zanotti, Arturo Hidalgo, Dinshaw S. Balsara
2013	J	`jnl`	Efficient implementation of ADER schemes for Euler and magnetohydrodynamical flows on structured meshes - Speed comparisons with Runge-Kutta methods. J. Comput. Phys. Dinshaw S. Balsara, Chad D. Meyer, Michael Dumbser, Huijing Du, Zhiliang Xu
2012	J	`jnl`	ADER-WENO Finite Volume Schemes with Space-Time Adaptive Mesh Refinement CoRR Michael Dumbser, Olindo Zanotti, Arturo Hidalgo, Dinshaw S. Balsara
2012	J	`jnl`	Comparison of solvers for the generalized Riemann problem for hyperbolic systems with source terms. J. Comput. Phys. Gino I. Montecinos, Cristóbal E. Castro, Michael Dumbser, Eleuterio F. Toro
2011	J	`jnl`	A Simple Extension of the Osher Riemann Solver to Non-conservative Hyperbolic Systems. J. Sci. Comput. Michael Dumbser, Eleuterio F. Toro
2011	J	`jnl`	ADER Schemes for Nonlinear Systems of Stiff Advection-Diffusion-Reaction Equations. J. Sci. Comput. Arturo Hidalgo, Michael Dumbser
2011	J	`jnl`	Explicit one-step time discretizations for discontinuous Galerkin and finite volume schemes based on local predictors. J. Comput. Phys. Gregor Gassner, Michael Dumbser, Florian Hindenlang, Claus-Dieter Munz
2009	J	`jnl`	Efficient, high accuracy ADER-WENO schemes for hydrodynamics and divergence-free magnetohydrodynamics. J. Comput. Phys. Dinshaw S. Balsara, Tobias Rumpf, Michael Dumbser, Claus-Dieter Munz
2009	J	`jnl`	FORCE schemes on unstructured meshes I: Conservative hyperbolic systems. J. Comput. Phys. Eleuterio F. Toro, Arturo Hidalgo, Michael Dumbser
2009	J	`jnl`	Very high order P J. Comput. Phys. Michael Dumbser, Olindo Zanotti
2008	J	`jnl`	A unified framework for the construction of one-step finite volume and discontinuous Galerkin schemes on unstructured meshes. J. Comput. Phys. Michael Dumbser, Dinshaw S. Balsara, Eleuterio F. Toro, Claus-Dieter Munz
2008	J	`jnl`	Finite volume schemes of very high order of accuracy for stiff hyperbolic balance laws. J. Comput. Phys. Michael Dumbser, Cedric Enaux, Eleuterio F. Toro
2008	J	`jnl`	Runge-Kutta discontinuous Galerkin method using WENO limiters II: Unstructured meshes. J. Comput. Phys. Jun Zhu, Jianxian Qiu, Chi-Wang Shu, Michael Dumbser
2007	J	`jnl`	A sub-cell based indicator for troubled zones in RKDG schemes and a novel class of hybrid RKDG+HWENO schemes. J. Comput. Phys. Dinshaw S. Balsara, Christoph Altmann, Claus-Dieter Munz, Michael Dumbser
2007	J	`jnl`	Arbitrary High-Order Discontinuous Galerkin Schemes for the Magnetohydrodynamic Equations. J. Sci. Comput. Arne Taube, Michael Dumbser, Dinshaw S. Balsara, Claus-Dieter Munz
2007	J	`jnl`	Arbitrary high order non-oscillatory finite volume schemes on unstructured meshes for linear hyperbolic systems. J. Comput. Phys. Michael Dumbser, Martin Käser
2007	J	`jnl`	Linearized acoustic perturbation equations for low Mach number flow with variable density and temperature. J. Comput. Phys. Claus-Dieter Munz, Michael Dumbser, Sabine Roller
2007	J	`jnl`	On Source Terms and Boundary Conditions Using Arbitrary High Order Discontinuous Galerkin Schemes. Int. J. Appl. Math. Comput. Sci. Michael Dumbser, Claus-Dieter Munz
2007	J	`jnl`	Quadrature-free non-oscillatory finite volume schemes on unstructured meshes for nonlinear hyperbolic systems. J. Comput. Phys. Michael Dumbser, Martin Käser, Vladimir A. Titarev, Eleuterio F. Toro
2006	J	`jnl`	Building Blocks for Arbitrary High Order Discontinuous Galerkin Schemes. J. Sci. Comput. Michael Dumbser, Claus-Dieter Munz