The SBP-SAT technique for initial value problems
type: Item
instance of: scholarly article
title: The SBP-SAT technique for initial value problems
zbMATH Open document ID: 1349.65550
author: Tomas Lundquist
author: Jan Nordström
published in: Journal of Computational Physics
publication date: 2016-12-05T00:00:00Z
full work available at URL: http://urn.kb.se/resolve
Mathematics Subject Classification ID: 65M99
zbMATH DE Number: 6660248
zbMATH Keywords: time integration
zbMATH Keywords: initial value problems
zbMATH Keywords: high order accuracy
zbMATH Keywords: initial boundary value problems
zbMATH Keywords: boundary conditions
zbMATH Keywords: global methods
zbMATH Keywords: stability
zbMATH Keywords: convergence
zbMATH Keywords: summation-by-parts operators
zbMATH Keywords: stiff problems
describes a project that uses: RODAS
MaRDI profile type: Publication
OpenAlex ID: W2117243944
cites work: Q4127319
cites work: Summation by parts for finite difference approximations for \(d/dx\)
cites work: Time-stable boundary conditions for finite-difference schemes solving hyperbolic systems: Methodology and application to high-order compact schemes
cites work: A stable and conservative interface treatment of arbitrary spatial accuracy
cites work: Summation-by-parts in time
cites work: Global integration of differential equations through Lobatto quadrature
cites work: A method for global approximation of the initial value problem
cites work: Legendre-Gauss collocation methods for ordinary differential equations
cites work: Legendre-Gauss-Radau collocation method for solving initial value problems of first order ordinary differential equations
cites work: On monotonicity and boundedness properties of linear multistep methods
cites work: Stepsize restrictions for boundedness and monotonicity of multistep methods
cites work: Additive Runge-Kutta schemes for convection-diffusion-reaction equations
cites work: Fourth-order Runge-Kutta schemes for fluid mechanics applications
cites work: Initial value problems: Numerical methods and mathematics
cites work: General linear methods for stiff differential equations
cites work: Conservative finite difference formulations, variable coefficients, energy estimates and artificial dissipation
cites work: Error Bounded Schemes for Time-dependent Hyperbolic Problems
cites work: A solution to the stability issues with block norm summation by parts operators
cites work: Analysis of the order of accuracy for node-centered finite volume schemes
cites work: On the Stability and Accuracy of One-Step Methods for Solving Stiff Systems of Ordinary Differential Equations
cites work: Superconvergent Functional Estimates from Summation-By-Parts Finite-Difference Discretizations
cites work: Superconvergent functional output for time-dependent problems using finite differences on summation-by-parts form
cites work: On the impact of boundary conditions on dual consistent finite difference discretizations
cites work: Summation-by-parts operators and high-order quadrature
DOI: 10.1016/J.JCP.2014.03.048
description: scientific article; zbMATH DE number 6660248