Convergence and Error Estimates for the Lagrangian-Based Conservative Spectral Method for Boltzmann Equations
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Publication:4562243
DOI10.1137/18M1173332zbMath1404.76185arXiv1611.04171OpenAlexW2559172778MaRDI QIDQ4562243
Sri Harsha Tharkabhushanam, Ricardo J. Alonso, Irene Martínez Gamba
Publication date: 19 December 2018
Published in: SIAM Journal on Numerical Analysis (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/1611.04171
Integro-partial differential equations (45K05) Rarefied gas flows, Boltzmann equation in fluid mechanics (76P05) Spectral methods applied to problems in fluid mechanics (76M22) Transform methods (e.g., integral transforms) applied to PDEs (35A22) Stability and convergence of numerical methods for initial value and initial-boundary value problems involving PDEs (65M12) Spectral, collocation and related methods for initial value and initial-boundary value problems involving PDEs (65M70) Boltzmann equations (35Q20)
Related Items (11)
Moment Preserving Fourier–Galerkin Spectral Methods and Application to the Boltzmann Equation ⋮ A Fast Petrov--Galerkin Spectral Method for the Multidimensional Boltzmann Equation Using Mapped Chebyshev Functions ⋮ A Fast Spectral Method for the Boltzmann Collision Operator with General Collision Kernels ⋮ A Positive and Moment-Preserving Fourier Spectral Method ⋮ High order approximation for the Boltzmann equation without angular cutoff under moderately soft potentials ⋮ Integrability Propagation for a Boltzmann System Describing Polyatomic Gas Mixtures ⋮ An efficient numerical method for solving the Boltzmann equation in multidimensions ⋮ Long time dynamics for the Landau-Fermi-Dirac equation with hard potentials ⋮ Galerkin-Petrov approach for the Boltzmann equation ⋮ Spectral computation of low probability tails for the homogeneous Boltzmann equation ⋮ A New Stability and Convergence Proof of the Fourier--Galerkin Spectral Method for the Spatially Homogeneous Boltzmann Equation
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