The Correct Formulation of Intermediate Boundary Conditions for Runge--Kutta Time Integration of Initial Boundary Value Problems
- 1 September 1997
- journal article
- Published by Society for Industrial & Applied Mathematics (SIAM) in SIAM Journal on Scientific Computing
- Vol. 18 (5) , 1255-1266
- https://doi.org/10.1137/s1064827594273948
Abstract
No abstract availableThis publication has 11 references indexed in Scilit:
- The Theoretical Accuracy of Runge–Kutta Time Discretizations for the Initial Boundary Value Problem: A Study of the Boundary ErrorSIAM Journal on Scientific Computing, 1995
- Half-Explicit Runge–Kutta Methods for Differential-Algebraic Systems of Index 2SIAM Journal on Numerical Analysis, 1993
- Convergence analysis of one-step schemes in the method of linesApplied Mathematics and Computation, 1989
- Stability and convergence at the PDE/stiff ode interfaceApplied Numerical Mathematics, 1989
- Generation of finite difference formulas on arbitrarily spaced gridsMathematics of Computation, 1988
- Convergence and order reduction of Runge-Kutta schemes applied to evolutionary problems in partial differential equationsNumerische Mathematik, 1986
- Intermediate boundary conditions for time-split methods applied to hyperbolic partial differential equationsMathematics of Computation, 1986
- On Numerical Boundary Treatment of Hyperbolic Systems for Finite Difference and Finite Element MethodsSIAM Journal on Numerical Analysis, 1982
- Single step methods for inhomogeneous linear differential equations in Banach spaceRAIRO. Analyse numérique, 1982
- The convergence rate for difference approximations to mixed initial boundary value problemsMathematics of Computation, 1975