A Load Balancing Package for Domain Decomposition on Distributed Memory Systems. - Xin Yuan 001; B. He; Dinshaw S. Balsara; Rami G. Melhem (HPCN Europe, 1996)

Notes on the Eigensystem of Magnetohydrodynamics. - Philip L. Roe; Dinshaw S. Balsara (SIAM J. Appl. Math., 1996)

Parallel Object-Oriented Adaptive Mesh Refinement. - Dinshaw S. Balsara; Daniel J. Quinlan (PP, 1997)

A Load Balancing Package on Distributed Memory Systems and its Application to Particle-Particle Particle-Mesh (P3M) Methods. - Xin Yuan 001; Charles A. Salisbury; Dinshaw S. Balsara; Rami G. Melhem (Parallel Comput., 1997)

Highly parallel structured adaptive mesh refinement using parallel language-based approaches. - Dinshaw S. Balsara; Charles D. Norton (Parallel Comput., 2001)

A sub-cell based indicator for troubled zones in RKDG schemes and a novel class of hybrid RKDG+HWENO schemes. - Dinshaw S. Balsara; Christoph Altmann; Claus-Dieter Munz; Michael Dumbser (J. Comput. Phys., 2007)

Arbitrary High-Order Discontinuous Galerkin Schemes for the Magnetohydrodynamic Equations. - Arne Taube; Michael Dumbser; Dinshaw S. Balsara; Claus-Dieter Munz (J. Sci. Comput., 2007)

A unified framework for the construction of one-step finite volume and discontinuous Galerkin schemes on unstructured meshes. - Michael Dumbser; Dinshaw S. Balsara; Eleuterio F. Toro; Claus-Dieter Munz (J. Comput. Phys., 2008)

Divergence-free reconstruction of magnetic fields and WENO schemes for magnetohydrodynamics. - Dinshaw S. Balsara (J. Comput. Phys., 2009)

Efficient, high accuracy ADER-WENO schemes for hydrodynamics and divergence-free magnetohydrodynamics. - Dinshaw S. Balsara; Tobias Rumpf; Michael Dumbser; Claus-Dieter Munz (J. Comput. Phys., 2009)

Multidimensional HLLE Riemann solver: Application to Euler and magnetohydrodynamic flows. - Dinshaw S. Balsara (J. Comput. Phys., 2010)

A two-dimensional HLLC Riemann solver for conservation laws: Application to Euler and magnetohydrodynamic flows. - Dinshaw S. Balsara (J. Comput. Phys., 2012)

Self-adjusting, positivity preserving high order schemes for hydrodynamics and magnetohydrodynamics. - Dinshaw S. Balsara (J. Comput. Phys., 2012)

Efficient implementation of ADER schemes for Euler and magnetohydrodynamical flows on structured meshes - Speed comparisons with Runge-Kutta methods. - Dinshaw S. Balsara; Chad D. Meyer; Michael Dumbser; Huijing Du; Zhiliang Xu (J. Comput. Phys., 2013)

ADER-WENO finite volume schemes with space-time adaptive mesh refinement. - Michael Dumbser; Olindo Zanotti; Arturo Hidalgo; Dinshaw S. Balsara (J. Comput. Phys., 2013)

Multidimensional Riemann problem with self-similar internal structure. Part I - Application to hyperbolic conservation laws on structured meshes. - Dinshaw S. Balsara (J. Comput. Phys., 2014)

Multidimensional HLLC Riemann solver for unstructured meshes - With application to Euler and MHD flows. - Dinshaw S. Balsara; Michael Dumbser; Rémi Abgrall (J. Comput. Phys., 2014)

Lagrangian ADER-WENO finite volume schemes on unstructured triangular meshes based on genuinely multidimensional HLL Riemann solvers. - Walter Boscheri; Dinshaw S. Balsara; Michael Dumbser (J. Comput. Phys., 2014)

A stable HLLC Riemann solver for relativistic magnetohydrodynamics. - Jinho Kim; Dinshaw S. Balsara (J. Comput. Phys., 2014)

A stabilized Runge-Kutta-Legendre method for explicit super-time-stepping of parabolic and mixed equations. - Chad D. Meyer; Dinshaw S. Balsara; Tariq D. Aslam (J. Comput. Phys., 2014)

Three dimensional HLL Riemann solver for conservation laws on structured meshes; Application to Euler and magnetohydrodynamic flows. - Dinshaw S. Balsara (J. Comput. Phys., 2015)

Multidimensional Riemann problem with self-similar internal structure. Part II - Application to hyperbolic conservation laws on unstructured meshes. - Dinshaw S. Balsara; Michael Dumbser (J. Comput. Phys., 2015)

Divergence-free MHD on unstructured meshes using high order finite volume schemes based on multidimensional Riemann solvers. - Dinshaw S. Balsara; Michael Dumbser (J. Comput. Phys., 2015)

Comparing Coarray Fortran (CAF) with MPI for several structured mesh PDE applications. - Sudip Garain; Dinshaw S. Balsara; John K. Reid (J. Comput. Phys., 2015)

A high-order relativistic two-fluid electrodynamic scheme with consistent reconstruction of electromagnetic fields and a multidimensional Riemann solver for electromagnetism. - Dinshaw S. Balsara; Takanobu Amano; Sudip Garain; Jinho Kim (J. Comput. Phys., 2016)

An efficient class of WENO schemes with adaptive order. - Dinshaw S. Balsara; Sudip Garain; Chi-Wang Shu (J. Comput. Phys., 2016)

A subluminal relativistic magnetohydrodynamics scheme with ADER-WENO predictor and multidimensional Riemann solver-based corrector. - Dinshaw S. Balsara; Jinho Kim (J. Comput. Phys., 2016)

Exploring various flux vector splittings for the magnetohydrodynamic system. - Dinshaw S. Balsara; Gino I. Montecinos; Eleuterio F. Toro (J. Comput. Phys., 2016)

A two-dimensional Riemann solver with self-similar sub-structure - Alternative formulation based on least squares projection. - Dinshaw S. Balsara; Jeaniffer Vides; Katharine F. Gurski; Boniface Nkonga; Michael Dumbser; Sudip Garain; Edouard Audit (J. Comput. Phys., 2016)

A new efficient formulation of the HLLEM Riemann solver for general conservative and non-conservative hyperbolic systems. - Michael Dumbser; Dinshaw S. Balsara (J. Comput. Phys., 2016)

Von Neumann stability analysis of globally divergence-free RKDG schemes for the induction equation using multidimensional Riemann solvers. - Dinshaw S. Balsara; Roger Käppeli (J. Comput. Phys., 2017)

Multidimensional Riemann problem with self-similar internal structure - part III - a multidimensional analogue of the HLLI Riemann solver for conservative hyperbolic systems. - Dinshaw S. Balsara; Boniface Nkonga (J. Comput. Phys., 2017)

Computational electrodynamics in material media with constraint-preservation, multidimensional Riemann solvers and sub-cell resolution - Part I, second-order FVTD schemes. - Dinshaw S. Balsara; Allen Taflove; Sudip Garain; Gino I. Montecinos (J. Comput. Phys., 2017)

Computational electrodynamics in material media with constraint-preservation, multidimensional Riemann solvers and sub-cell resolution - Part II, higher order FVTD schemes. - Dinshaw S. Balsara; Sudip Garain; Allen Taflove; Gino I. Montecinos (J. Comput. Phys., 2018)

An efficient, second order accurate, universal generalized Riemann problem solver based on the HLLI Riemann solver. - Dinshaw S. Balsara; Jiequan Li; Gino I. Montecinos (J. Comput. Phys., 2018)

A simplified Cauchy-Kowalewskaya procedure for the implicit solution of generalized Riemann problems of hyperbolic balance laws. - Gino I. Montecinos; Dinshaw S. Balsara (CoRR, 2019)

von Neumann stability analysis of globally constraint-preserving DGTD and PNPM schemes for the Maxwell equations using multidimensional Riemann solvers. - Dinshaw S. Balsara; Roger Käppeli (J. Comput. Phys., 2019)

High order direct Arbitrary-Lagrangian-Eulerian (ALE) PNPM schemes with WENO Adaptive-Order reconstruction on unstructured meshes. - Walter Boscheri; Dinshaw S. Balsara (J. Comput. Phys., 2019)

Globally constraint-preserving FR/DG scheme for Maxwell's equations at all orders. - Arijit Hazra; Praveen Chandrashekar; Dinshaw S. Balsara (J. Comput. Phys., 2019)

Resilient computational applications using Coarray Fortran. - Alessandro Fanfarillo; Sudip Kumar Garain; Dinshaw S. Balsara; Dan Nagle (Parallel Comput., 2019)

Curl constraint-preserving reconstruction and the guidance it gives for mimetic scheme design. - Dinshaw S. Balsara; Roger Käppeli; Walter Boscheri; Michael Dumbser (CoRR, 2020)

An efficient class of WENO schemes with adaptive order for unstructured meshes. - Dinshaw S. Balsara; Sudip Garain; Vladimir Florinski; Walter Boscheri (J. Comput. Phys., 2020)

Optimal, globally constraint-preserving, DG(TD)2 schemes for computational electrodynamics based on two-derivative Runge-Kutta timestepping and multidimensional generalized Riemann problem solvers - A von Neumann stability analysis. - Roger Käppeli; Dinshaw S. Balsara; Praveen Chandrashekar; Arijit Hazra (J. Comput. Phys., 2020)

Von Neumann Stability Analysis of DG-like and PNPM-like Schemes for PDEs that have Globally Curl-Preserving Evolution of Vector Fields. - Dinshaw S. Balsara; Roger Käppeli (CoRR, 2021)

Multidimensional approximate Riemann solvers for hyperbolic nonconservative systems. Applications to shallow water systems. - Kleiton A. Schneider; José M. Gallardo; Dinshaw S. Balsara; Boniface Nkonga; Carlos Parés (J. Comput. Phys., 2021)

Techniques, Tricks and Algorithms for Efficient GPU-Based Processing of Higher Order Hyperbolic PDEs. - Sethupathy Subramanian; Dinshaw S. Balsara; Deepak Bhoriya; Harish Kumar 001 (CoRR, 2022)

Efficient Finite Difference WENO Scheme for Hyperbolic Systems with Non-Conservative Products. - Dinshaw S. Balsara; Deepak Bhoriya; Chi-Wang Shu; Harish Kumar 001 (CoRR, 2023)

Multidimensional Generalized Riemann Problem Solver for Maxwell's Equations. - Arijit Hazra; Dinshaw S. Balsara; Praveen Chandrashekar; Sudip Kumar Garain (J. Sci. Comput., 2023)

Efficient Alternative Finite Difference WENO Schemes for Hyperbolic Conservation Laws. - Dinshaw S. Balsara; Deepak Bhoriya; Chi-Wang Shu; Harish Kumar 001 (CoRR, 2024)

Efficient Alternative Finite Difference WENO Schemes for Hyperbolic Systems with Non-Conservative Products. - Dinshaw S. Balsara; Deepak Bhoriya; Chi-Wang Shu; Harish Kumar 001 (CoRR, 2024)

Going Beyond the MHD Approximation: Physics-Based Numerical Solution of the CGL Equations. - Deepak Bhoriya; Dinshaw S. Balsara; Vladimir Florinski; Harish Kumar 001 (CoRR, 2024)

Entropy stable finite difference schemes for Chew, Goldberger & Low anisotropic plasma flow equations. - Chetan Singh; Anshu Yadav; Deepak Bhoriya; Harish Kumar 001; Dinshaw S. Balsara (CoRR, 2024)

Well-balanced high order finite difference WENO schemes for a first-order Z4 formulation of the Einstein field equations. - Dinshaw S. Balsara; Deepak Bhoriya; Olindo Zanotti; Michael Dumbser (CoRR, 2024)

Second Order Divergence Constraint Preserving Entropy Stable Finite Difference Schemes for Ideal Two-Fluid Plasma Flow Equations. - Jaya Agnihotri; Deepak Bhoriya; Harish Kumar 001; Praveen Chandrashekar; Dinshaw S. Balsara (J. Sci. Comput., 2024)

Entropy Stable Finite Difference Schemes for Chew, Goldberger and Low Anisotropic Plasma Flow Equations. - Chetan Singh; Anshu Yadav; Deepak Bhoriya; Harish Kumar 001; Dinshaw S. Balsara (J. Sci. Comput., 2025)

Second order divergence constraint preserving schemes for two-fluid relativistic plasma flow equations. - Jaya Agnihotri; Deepak Bhoriya; Harish Kumar 001; Praveen Chandrashekar; Dinshaw S. Balsara (CoRR, 2025)

Chew, Goldberger & Low Equations: Eigensystem Analysis and Applications to One-Dimensional Test Problems. - Chetan Singh; Deepak Bhoriya; Anshu Yadav; Harish Kumar 001; Dinshaw S. Balsara (CoRR, 2025)

Physical Constraint Preserving Higher Order Finite Volume Schemes for Divergence-Free Astrophysical MHD and RMHD. - Dinshaw S. Balsara; Deepak Bhoriya; Chetan Singh; Harish Kumar 001; Roger Käppeli; Federico Gatti (CoRR, 2025)

An Alternative Finite Difference WENO-like Scheme with Physical Constraint Preservation for Divergence-Preserving Hyperbolic Systems. - Dinshaw S. Balsara; Deepak Bhoriya; Chi-Wang Shu (CoRR, 2025)