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Linear algebra Schrödinger equation Multidimensional Riemann solver Mixed formulations Well-balanced property Magnetohydrodynamics Spin crossover Astrophysics - Solar and Stellar Astrophysics Aerodynamics SiC/SiC Shallow water equations Arnoldi method Numerical simulation Efficiency Gas dynamics Sparse matrix Epidemic High performance computing PageRank Planets and satellites fundamental parameters Methods analytical OpenACC Matrix Generation Dynamic processes Task parallelism Planets and satellites interiors CUDA Stars formation Calcul haute performance Astrophysics - Astrophysics of Galaxies Electron Astrochemistry Methods numerical OpenMP Convection Solvation Big data Domain decomposition Multi-cores AMITEXFFTP Separation of concerns Supernovae general Data parallelism Programming model Scheduling Porous materials Low Froude ISM individual objects Orion B Phase transitions Non-Hermitian Matrix Optimized Schwarz waveform relaxation Exascale Plasma physics Spectrum Large time steps Parallel computing Turbulence Hydrodynamics MD simulation Shared-memory Two-phase flows Implicit restarting ISM clouds Brown dwarfs Planets and satellites composition Compressible two-phase flow Approximate Riemann solver Stars massive Multidimensional Riemann solvers Linear systems Stencil Energy Low Mach correction ISM structure Supercapacitors Large eigenproblems Simulation Memory footprint Methods statistical Planets and satellites gaseous planets HII regions Krylov subspace size Gravitational effects FFT Asynchronous communication Parallélisme Plasma Physics Astrophysics - Earth and Planetary Astrophysics MPI Planets and satellites atmospheres Iterative methods Software Component Model HPC Radiative transfer Hyperbolic systems Godunov-type scheme ISM molecules Many-core Sharp interface Conservation laws