Stability Conditions for the Numerical Solution of Convection-Dominated Problems with Skew-Symmetric Discretizations
From MaRDI portal
Publication:2903026
DOI10.1137/100808472zbMath1252.65155arXiv1007.3313OpenAlexW1980252718MaRDI QIDQ2903026
Publication date: 23 August 2012
Published in: SIAM Journal on Numerical Analysis (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/1007.3313
wave equationEuler equationtransport equationCFL conditionRunge-Kutta schemesvon Neumann stabilityAdams-Bashforth schemes
First-order nonlinear hyperbolic equations (35L60) Finite difference methods for initial value and initial-boundary value problems involving PDEs (65M06) Stability and convergence of numerical methods for initial value and initial-boundary value problems involving PDEs (65M12) First-order hyperbolic equations (35L02)
Related Items
A priori error estimates of Adams-Bashforth discontinuous Galerkin methods for scalar nonlinear conservation laws, Shape adaptive RBF-FD implicit scheme for incompressible viscous Navier-Stokes equations, Numerical simulation of the temporal evolution of a three dimensional barchanoid dune and the corresponding sediment dynamics, Superconvergent second-order Cartesian method for solving free boundary problem for invadopodia formation, Non-linear CFL conditions issued from the von Neumann stability analysis for the transport equation, Six-Dimensional Adaptive Simulation of the Vlasov Equations Using a Hierarchical Basis, Analysis of velocity-components decoupled projection method for the incompressible Navier-Stokes equations, The L$^2$-norm Stability Analysis of Runge--Kutta Discontinuous Galerkin Methods for Linear Hyperbolic Equations, Runge--Kutta-Based Explicit Local Time-Stepping Methods for Wave Propagation, On Energy Laws and Stability of Runge--Kutta Methods for Linear Seminegative Problems
