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