A new stable splitting for singularly perturbed ODEs
From MaRDI portal
Publication:289023
DOI10.1016/j.apnum.2016.04.004zbMath1382.65191OpenAlexW2336714398MaRDI QIDQ289023
Publication date: 27 May 2016
Published in: Applied Numerical Mathematics (Search for Journal in Brave)
Full work available at URL: http://hdl.handle.net/1942/21441
Numerical methods for stiff equations (65L04) Numerical solution of singularly perturbed problems involving ordinary differential equations (65L11)
Related Items
Efficient high-order discontinuous Galerkin computations of low Mach number flows, Asymptotic error analysis of an IMEX Runge-Kutta method, Implicit-Explicit Runge-Kutta-Rosenbrock Methods with Error Analysis for Nonlinear Stiff Differential Equations, An asymptotic preserving semi-implicit multiderivative solver, Exponential time differencing for problems without natural stiffness separation, A High-Order Method for Weakly Compressible Flows, Parallel-in-time high-order multiderivative IMEX solvers, Asymptotic analysis of the RS-IMEX scheme for the shallow water equations in one space dimension, A new stable splitting for the isentropic Euler equations
Cites Work
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Adaptive discontinuous evolution Galerkin method for dry atmospheric flow
- An asymptotic-preserving all-speed scheme for the Euler and Navier-Stokes equations
- An asymptotic-preserving method for highly anisotropic elliptic equations based on a micro-macro decomposition
- An asymptotic preserving method for linear systems of balance laws based on Galerkin's method
- Flux splitting for stiff equations: a notion on stability
- On an accurate third order implicit-explicit Runge-Kutta method for stiff problems
- TVB Runge-Kutta local projection discontinuous Galerkin finite element method for conservation laws. III: One-dimensional systems
- Une méthode multipas implicite-explicite pour l'approximation des équations d'évolution paraboliques
- Fast singular limits of hyperbolic PDEs
- Implicit-explicit Runge-Kutta methods for time-dependent partial differential equations
- The numerical interface coupling of nonlinear hyperbolic systems of conservation laws. I: The scalar case
- The numerical solution of differential-algebraic systems by Runge-Kutta methods
- Additive Runge-Kutta schemes for convection-diffusion-reaction equations
- Semi-implicit extension of a Godunov-type scheme based on low Mach number asymptotics. I: One-dimensional flow
- IMEX extensions of linear multistep methods with general monotonicity and boundedness properties
- Asymptotic Preserving Implicit-Explicit Runge--Kutta Methods for Nonlinear Kinetic Equations
- The Runge-Kutta local projection $P^1$-discontinuous-Galerkin finite element method for scalar conservation laws
- The Runge-Kutta Local Projection Discontinuous Galerkin Finite Element Method for Conservation Laws. IV: The Multidimensional Case
- Error Analysis of IMEX Runge–Kutta Methods Derived from Differential-Algebraic Systems
- TVB Runge-Kutta Local Projection Discontinuous Galerkin Finite Element Method for Conservation Laws II: General Framework
- Singular limits of quasilinear hyperbolic systems with large parameters and the incompressible limit of compressible fluids
- Diffusive Relaxation Schemes for Multiscale Discrete-Velocity Kinetic Equations
- An All-Speed Asymptotic-Preserving Method for the Isentropic Euler and Navier-Stokes Equations
- Efficient Asymptotic-Preserving (AP) Schemes For Some Multiscale Kinetic Equations
- Implicit-Explicit Methods for Time-Dependent Partial Differential Equations
- Implicit-Explicit Runge--Kutta Schemes for Hyperbolic Systems and Kinetic Equations in the Diffusion Limit
- A Weakly Asymptotic Preserving Low Mach Number Scheme for the Euler Equations of Gas Dynamics
- Semi-Implicit Formulations of the Navier–Stokes Equations: Application to Nonhydrostatic Atmospheric Modeling
- All Speed Scheme for the Low Mach Number Limit of the Isentropic Euler Equations
- IMEX Large Time Step Finite Volume Methods for Low Froude Number Shallow Water Flows
- IMEX Runge-Kutta Schemes and Hyperbolic Systems of Conservation Laws with Stiff Diffusive Relaxation
- Geometric multigrid with applications to computational fluid dynamics
- Asymptotic adaptive methods for multi-scale problems in fluid mechanics
