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On the removal of boundary errors caused by Runge-Kutta integration of nonlinear partial differential equations

ABARBANEL, S ; GOTTLIEB, D ; CARPENTER, M. H

SIAM Journal on Scientific Computing, 1996-05, Vol.17 (3), p.777-782 [Periódico revisado por pares]

Philadelphia, PA: Society for Industrial and Applied Mathematics

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Título:
On the removal of boundary errors caused by Runge-Kutta integration of nonlinear partial differential equations
Autor: ABARBANEL, S ; GOTTLIEB, D ; CARPENTER, M. H
Assuntos: ACCURACY ; Applied mathematics ; Approximation ; Boundary conditions ; Communication ; Exact sciences and technology ; FINITE DIFFERENCE METHOD ; Mathematics ; MATHEMATICS, COMPUTERS, INFORMATION SCIENCE, MANAGEMENT, LAW, MISCELLANEOUS ; Methods ; Multiplication & division ; NONLINEAR PROBLEMS ; Numerical analysis ; Numerical analysis. Scientific computation ; Ordinary differential equations ; PARTIAL DIFFERENTIAL EQUATIONS ; Partial differential equations, initial value problems and time-dependant initial-boundary value problems ; RUNGE-KUTTA METHOD ; Sciences and techniques of general use
É parte de: SIAM Journal on Scientific Computing, 1996-05, Vol.17 (3), p.777-782
Notas: USDOE
Descrição: The temporal integration of hyperbolic partial differential equations (PDEs) has been shown to lead sometimes to the deterioration of accuracy of the solution because of boundary conditions. A procedure for removal of this error in the linear case has been established previously. In this paper we consider hyperbolic PDEs (linear and nonlinear) whose boundary treatment is accomplished via the simultaneous approximation term (SAT) procedure. A methodology is presented for recovery of the full order of accuracy and has been applied to the case of a fourth-order explicit finite-difference scheme.
Editor: Philadelphia, PA: Society for Industrial and Applied Mathematics
Idioma: Inglês

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On the removal of boundary errors caused by Runge-Kutta integration of nonlinear partial differential equations

ABARBANEL, S ; GOTTLIEB, D ; CARPENTER, M. H

Philadelphia, PA: Society for Industrial and Applied Mathematics

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