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A two-dimensional HLLC Riemann solver for conservation laws: Application to Euler and magnetohydrodynamic flows

Journal of computational physics, 2012-09, Vol.231 (22), p.7476-7503

Balsara, Dinshaw S.

2012

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Three dimensional HLL Riemann solver for conservation laws on structured meshes; Application to Euler and magnetohydrodynamic flows

Journal of computational physics, 2015-08, Vol.295, p.1-23

Balsara, Dinshaw S.

2015

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Divergence-free reconstruction of magnetic fields and WENO schemes for magnetohydrodynamics

Journal of computational physics, 2009-08, Vol.228 (14), p.5040-5056

Balsara, Dinshaw S.

2009

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A second-order accurate Super TimeStepping formulation for anisotropic thermal conduction

Monthly notices of the Royal Astronomical Society, 2012-05, Vol.422 (3), p.2102-2115

2012

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A unified framework for the construction of one-step finite volume and discontinuous Galerkin schemes on unstructured meshes

Journal of computational physics, 2008-09, Vol.227 (18), p.8209-8253

2008

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Efficient, high accuracy ADER-WENO schemes for hydrodynamics and divergence-free magnetohydrodynamics

Journal of computational physics, 2009-04, Vol.228 (7), p.2480-2516

2009

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General relativistic numerical simulation of sub-Keplerian transonic accretion flows on to rotating black holes: Kerr space–time

Monthly notices of the Royal Astronomical Society, 2019-01, Vol.482 (3), p.3636-3645

2019

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On the linear stability of sheared and magnetized jets without current sheets – non-relativistic case

Monthly notices of the Royal Astronomical Society, 2016-09, Vol.461 (1), p.728-741

2016

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Multidimensional HLLE Riemann solver: Application to Euler and magnetohydrodynamic flows

Journal of computational physics, 2010-03, Vol.229 (6), p.1970-1993

Balsara, Dinshaw S.

2010

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Divergence-free MHD on unstructured meshes using high order finite volume schemes based on multidimensional Riemann solvers

Journal of computational physics, 2015-10, Vol.299, p.687-715

2015

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Multidimensional Riemann problem with self-similar internal structure – part III – a multidimensional analogue of the HLLI Riemann solver for conservative hyperbolic systems

Journal of computational physics, 2017-10, Vol.346, p.25-48

2017

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An efficient class of WENO schemes with adaptive order for unstructured meshes

Journal of computational physics, 2020-03, Vol.404, p.109062, Article 109062

2020

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A sub-cell based indicator for troubled zones in RKDG schemes and a novel class of hybrid RKDG+HWENO schemes

Journal of computational physics, 2007-09, Vol.226 (1), p.586-620

2007

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High order direct Arbitrary-Lagrangian-Eulerian (ALE) PNPM schemes with WENO Adaptive-Order reconstruction on unstructured meshes

Journal of computational physics, 2019-12, Vol.398, p.1, Article 108899

2019

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Multidimensional Riemann problem with self-similar internal structure. Part II – Application to hyperbolic conservation laws on unstructured meshes

Journal of computational physics, 2015-04, Vol.287, p.269-292

2015

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Multidimensional HLLC Riemann solver for unstructured meshes – With application to Euler and MHD flows

Journal of computational physics, 2014-03, Vol.261, p.172-208

2014

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Globally constraint-preserving FR/DG scheme for Maxwell's equations at all orders

Journal of computational physics, 2019-10, Vol.394, p.298-328

2019

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Von Neumann stability analysis of globally divergence-free RKDG schemes for the induction equation using multidimensional Riemann solvers

Journal of computational physics, 2017-05, Vol.336, p.104-127

2017

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ADER-WENO finite volume schemes with space–time adaptive mesh refinement

Journal of computational physics, 2013-09, Vol.248, p.257-286

2013

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von Neumann stability analysis of globally constraint-preserving DGTD and PNPM schemes for the Maxwell equations using multidimensional Riemann solvers

Journal of computational physics, 2019-01, Vol.376, p.1108-1137

2019

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A subluminal relativistic magnetohydrodynamics scheme with ADER-WENO predictor and multidimensional Riemann solver-based corrector

Journal of computational physics, 2016-05, Vol.312, p.357-384

2016

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A Comparison between Divergence-Cleaning and Staggered-Mesh Formulations for Numerical Magnetohydrodynamics

The Astrophysical journal, 2004-02, Vol.602 (2), p.1079-1090

2004

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Lagrangian ADER-WENO finite volume schemes on unstructured triangular meshes based on genuinely multidimensional HLL Riemann solvers

Journal of computational physics, 2014-06, Vol.267, p.112-138

2014

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von Neumann stability analysis of smoothed particle hydrodynamics—suggestions for optimal algorithms

Journal of computational physics, 1995-10, Vol.121 (2), p.357-372

Balsara, Dinshaw S.

1995

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Higher-order accurate space-time schemes for computational astrophysics—Part I: finite volume methods

Living reviews in computational astrophysics, 2017, Vol.3 (1), p.2-2, Article 2

Balsara, Dinshaw S.

2017

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A two-dimensional HLLC Riemann solver for conservation laws: Application to Euler and magnetohydrodynamic flows

Three dimensional HLL Riemann solver for conservation laws on structured meshes; Application to Euler and magnetohydrodynamic flows

Divergence-free reconstruction of magnetic fields and WENO schemes for magnetohydrodynamics

A second-order accurate Super TimeStepping formulation for anisotropic thermal conduction

A unified framework for the construction of one-step finite volume and discontinuous Galerkin schemes on unstructured meshes

Efficient, high accuracy ADER-WENO schemes for hydrodynamics and divergence-free magnetohydrodynamics

General relativistic numerical simulation of sub-Keplerian transonic accretion flows on to rotating black holes: Kerr space–time

On the linear stability of sheared and magnetized jets without current sheets – non-relativistic case

Multidimensional HLLE Riemann solver: Application to Euler and magnetohydrodynamic flows

Divergence-free MHD on unstructured meshes using high order finite volume schemes based on multidimensional Riemann solvers

Multidimensional Riemann problem with self-similar internal structure – part III – a multidimensional analogue of the HLLI Riemann solver for conservative hyperbolic systems

An efficient class of WENO schemes with adaptive order for unstructured meshes

A sub-cell based indicator for troubled zones in RKDG schemes and a novel class of hybrid RKDG+HWENO schemes

High order direct Arbitrary-Lagrangian-Eulerian (ALE) PNPM schemes with WENO Adaptive-Order reconstruction on unstructured meshes

Multidimensional Riemann problem with self-similar internal structure. Part II – Application to hyperbolic conservation laws on unstructured meshes

Multidimensional HLLC Riemann solver for unstructured meshes – With application to Euler and MHD flows

Globally constraint-preserving FR/DG scheme for Maxwell's equations at all orders

Von Neumann stability analysis of globally divergence-free RKDG schemes for the induction equation using multidimensional Riemann solvers

ADER-WENO finite volume schemes with space–time adaptive mesh refinement

von Neumann stability analysis of globally constraint-preserving DGTD and PNPM schemes for the Maxwell equations using multidimensional Riemann solvers

A subluminal relativistic magnetohydrodynamics scheme with ADER-WENO predictor and multidimensional Riemann solver-based corrector

A Comparison between Divergence-Cleaning and Staggered-Mesh Formulations for Numerical Magnetohydrodynamics

Lagrangian ADER-WENO finite volume schemes on unstructured triangular meshes based on genuinely multidimensional HLL Riemann solvers

von Neumann stability analysis of smoothed particle hydrodynamics—suggestions for optimal algorithms

Higher-order accurate space-time schemes for computational astrophysics—Part I: finite volume methods

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