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

. Living Reviews in Computational Astrophysics, (December 2017)
DOI: 10.1007/s41115-017-0002-8

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Notes on the Eigensystem of Magnetohydrodynamics., and . SIAM J. Appl. Math., 56 (1): 57-67 (1996)Parallel Object-Oriented Adaptive Mesh Refinement., and . PPSC, SIAM, (1997)Three dimensional HLL Riemann solver for conservation laws on structured meshes; Application to Euler and magnetohydrodynamic flows.. J. Comput. Phys., (2015)Efficient, high accuracy ADER-WENO schemes for hydrodynamics and divergence-free magnetohydrodynamics., , , and . J. Comput. Phys., 228 (7): 2480-2516 (2009)Multidimensional Riemann problem with self-similar internal structure. Part II - Application to hyperbolic conservation laws on unstructured meshes., and . J. Comput. Phys., (2015)Multidimensional Generalized Riemann Problem Solver for Maxwell's Equations., , , and . CoRR, (2022)Computational electrodynamics in material media with constraint-preservation, multidimensional Riemann solvers and sub-cell resolution - Part I, second-order FVTD schemes., , , and . J. Comput. Phys., (2017)Von Neumann Stability Analysis of DG-like and PNPM-like Schemes for PDEs that have Globally Curl-Preserving Evolution of Vector Fields., and . CoRR, (2021)High order direct Arbitrary-Lagrangian-Eulerian (ALE) PNPM schemes with WENO Adaptive-Order reconstruction on unstructured meshes., and . J. Comput. Phys., (2019)Self-adjusting, positivity preserving high order schemes for hydrodynamics and magnetohydrodynamics.. J. Comput. Phys., 231 (22): 7504-7517 (2012)