Implicit-Explicit Integral Deferred Correction Methods for Stiff Problems

DOI10.1137/16M1105232zbMath1453.65153arXiv1701.04750MaRDI QIDQ4610142

Sebastiano Boscarino, Jing-Mei Qiu, Giovanni Russo

Publication date: 5 April 2018

Published in: SIAM Journal on Scientific Computing (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1701.04750

zbMATH Keywords

Runge-Kutta methodsstiff problemsimplicit-explicitintegral deferred correction methodsdifferential algebraic systems

Mathematics Subject Classification ID

Multistep, Runge-Kutta and extrapolation methods for ordinary differential equations (65L06) Numerical methods for differential-algebraic equations (65L80) Numerical methods for stiff equations (65L04)

Related Items (14)

Boundary treatment of implicit-explicit Runge-Kutta method for hyperbolic systems with source terms ⋮ All Mach number second order semi-implicit scheme for the Euler equations of gas dynamics ⋮ Stability analysis and error estimates of semi-implicit spectral deferred correction coupled with local discontinuous Galerkin method for linear convection-diffusion equations ⋮ Higher-order additive Runge-Kutta schemes for ordinary differential equations ⋮ Asymptotic error analysis of an IMEX Runge-Kutta method ⋮ Implicit-Explicit Runge-Kutta-Rosenbrock Methods with Error Analysis for Nonlinear Stiff Differential Equations ⋮ Deferred correction methods for ordinary differential equations ⋮ High order asymptotic preserving finite difference WENO schemes with constrained transport for MHD equations in all sonic Mach numbers ⋮ Semi-Implicit Spectral Deferred Correction Methods Based on Second-Order Time Integration Schemes for Nonlinear Pdes ⋮ A high order semi-implicit IMEX WENO scheme for the all-Mach isentropic Euler system ⋮ An asymptotic preserving semi-implicit multiderivative solver ⋮ High Order Asymptotic Preserving Deferred Correction Implicit-Explicit Schemes for Kinetic Models ⋮ Stability analysis and error estimates of local discontinuous Galerkin methods with semi-implicit spectral deferred correction time-marching for the Allen-Cahn equation ⋮ Asymptotic Preserving Spectral Deferred Correction Methods for Hyperbolic Systems with Relaxation

Uses Software

• RODAS

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• A high order time splitting method based on integral deferred correction for semi-Lagrangian Vlasov simulations
• Semi-implicit integral deferred correction constructed with additive Runge-Kutta methods
• Implicit-explicit Runge-Kutta schemes and applications to hyperbolic systems with relaxation
• On the choice of correctors for semi-implicit Picard deferred correction methods
• On an accurate third order implicit-explicit Runge-Kutta method for stiff problems
• Hyperbolic conservation laws with relaxation
• Error of Runge-Kutta methods for stiff problems studied via differential algebraic equations
• Implicit-explicit Runge-Kutta methods for time-dependent partial differential equations
• Spectral deferred correction methods for ordinary differential equations
• Additive semi-implicit Runge-Kutta methods for computing high-speed nonequilibrium reactive flows
• Additive Runge-Kutta schemes for convection-diffusion-reaction equations
• Runge-Kutta methods for hyperbolic conservation laws with stiff relaxation terms
• Comments on high-order integrators embedded within integral deferred correction methods
• Implications of the choice of predictors for semi-implicit Picard integral deferred correction methods
• Accelerating the convergence of spectral deferred correction methods
• Implications of the choice of quadrature nodes for Picard integral deferred corrections methods for ordinary differential equations
• Semi-implicit spectral deferred correction methods for ordinary differential equations
• Error estimates of the integral deferred correction method for stiff problems
• Solving Ordinary Differential Equations I
• Error Analysis of IMEX Runge–Kutta Methods Derived from Differential-Algebraic Systems
• On a Class of Uniformly Accurate IMEX Runge–Kutta Schemes and Applications to Hyperbolic Systems with Relaxation
• Integral deferred correction methods constructed with high order Runge–Kutta integrators
• A Theoretical Framework for Proving Accuracy Results for Deferred Corrections
• Hyperbolic conservation laws with stiff relaxation terms and entropy
• Implicit-Explicit Runge--Kutta Schemes for Hyperbolic Systems and Kinetic Equations in the Diffusion Limit
• Flux-Explicit IMEX Runge--Kutta Schemes for Hyperbolic to Parabolic Relaxation Problems

This page was built for publication: Implicit-Explicit Integral Deferred Correction Methods for Stiff Problems