Asymptotic-Preserving and Positivity-Preserving Implicit-Explicit Schemes for the Stiff BGK Equation
DOI10.1137/17M1144362zbMath1388.82023arXiv1708.06279OpenAlexW2962833397WikidataQ130001649 ScholiaQ130001649MaRDI QIDQ4637514
Ruiwen Shu, Jingwei Hu, Xiangxiong Zhang
Publication date: 24 April 2018
Published in: SIAM Journal on Numerical Analysis (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/1708.06279
compressible Euler equationsBGK modelasymptotic-preserving schemepositivity-preserving schemeimplicit-explicit Runge-Kutta schemeIMEX-RK schemestiff kinetic equation
Multistep, Runge-Kutta and extrapolation methods for ordinary differential equations (65L06) Kinetic theory of gases in time-dependent statistical mechanics (82C40) Numerical methods for stiff equations (65L04) Euler equations (35Q31)
Related Items (28)
Cites Work
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- On positivity-preserving high order discontinuous Galerkin schemes for compressible Euler equations on rectangular meshes
- Implicit-explicit Runge-Kutta schemes and applications to hyperbolic systems with relaxation
- On maximum-principle-satisfying high order schemes for scalar conservation laws
- Efficient implementation of essentially nonoscillatory shock-capturing schemes
- Order conditions for numerical methods for partitioned ordinary differential equations
- The Boltzmann equation and its applications
- Implicit-explicit Runge-Kutta methods for time-dependent partial differential equations
- On a class of implicit-explicit Runge-Kutta schemes for stiff kinetic equations preserving the Navier-Stokes limit
- On positivity-preserving high order discontinuous Galerkin schemes for compressible Navier-Stokes equations
- Additive Runge-Kutta schemes for convection-diffusion-reaction equations
- A class of asymptotic-preserving schemes for kinetic equations and related problems with stiff sources
- Implicit-explicit schemes for BGK kinetic equations
- Strong Stability-Preserving High-Order Time Discretization Methods
- Asymptotic Preserving Implicit-Explicit Runge--Kutta Methods for Nonlinear Kinetic Equations
- Steady State and Sign Preserving Semi-Implicit Runge--Kutta Methods for ODEs with Stiff Damping Term
- A second-order asymptotic-preserving and positivity-preserving discontinuous Galerkin scheme for the Kerr–Debye model
- Asymptotic-Preserving Schemes for Multiscale Hyperbolic and Kinetic Equations
- Uniformly Accurate Schemes for Hyperbolic Systems with Relaxation
- Implicit-Explicit Runge--Kutta Schemes for Hyperbolic Systems and Kinetic Equations in the Diffusion Limit
- Shock Structure in a Simple Discrete Velocity Gas
- Numerical Passage from Kinetic to Fluid Equations
- Strong Stability for Additive Runge–Kutta Methods
- A Model for Collision Processes in Gases. I. Small Amplitude Processes in Charged and Neutral One-Component Systems
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