Numerical Methods for Computing an Averaged Matrix Field. Application to the Asymptotic Analysis of a Parabolic Problem with Stiff Transport Terms
DOI10.1137/17M1139667zbMath1426.65143OpenAlexW2775015773MaRDI QIDQ5197620
Publication date: 19 September 2019
Published in: Multiscale Modeling & Simulation (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1137/17m1139667
Finite difference methods for initial value and initial-boundary value problems involving PDEs (65M06) Numerical aspects of the method of characteristics for initial value and initial-boundary value problems involving PDEs (65M25) Error bounds for initial value and initial-boundary value problems involving PDEs (65M15)
Related Items (1)
Uses Software
Cites Work
- Unnamed Item
- Asymptotic preserving schemes for highly oscillatory Vlasov-Poisson equations
- Finite-difference schemes for anisotropic diffusion
- Multiscale methods for advection-diffusion problems
- Splitting methods for partial differential equations with rough solutions. Analysis and Matlab programs
- The period function for Hamiltonian systems with homogeneous nonlinearities
- Asymptotic preserving numerical schemes for multiscale parabolic problems
- Transport equations with disparate advection fields. Application to the gyrokinetic models in plasma physics
- Asymptotic analysis of parabolic equations with stiff transport terms by a multi-scale approach
- Strongly anisotropic diffusion problems; asymptotic analysis
- Uniformly accurate numerical schemes for highly oscillatory Klein-Gordon and nonlinear Schrödinger equations
- The Finite Larmor Radius Approximation
- MultiScale Analysis for Linear First Order PDEs. The Finite Larmor Radius Regime
- Transport of Charged Particles Under Fast Oscillating Magnetic Fields
- Finite Larmor radius approximation for collisional magnetic confinement. Part II: the Fokker-Planck-Landau equation
- Numerical Methods in Scientific Computing, Volume I
- Homogenization of Linear Transport Equations in a Stationary Ergodic Setting
- Almost Periodic Oscillations and Waves
- An Asymptotic Preserving Scheme for Strongly Anisotropic Elliptic Problems
- Numerical Methods for Fluid Dynamics
- Homogenization and Two-Scale Convergence
- A General Convergence Result for a Functional Related to the Theory of Homogenization
- Homogenization of the Vlasov Equation and of the Vlasov - Poisson System with a Strong External Magnetic Field
- Finite Larmor radius approximation for collisional magnetic confinement. Part I: The linear Boltzmann equation
This page was built for publication: Numerical Methods for Computing an Averaged Matrix Field. Application to the Asymptotic Analysis of a Parabolic Problem with Stiff Transport Terms