Abstract: "In the last decade numerical techniques have been developed to solve time-dependent Partial Differential Equations (PDEs) in one dimension having solutions with steep gradients in space and in time. One of these techniques, a moving-grid method based on a Lagrangian description of th...

Ausführliche Beschreibung

Bibliographische Detailangaben

Hauptverfasser:	Blom, J. G. (VerfasserIn), Zegeling, P. A. (VerfasserIn)
Format:	Buch
Sprache:	English
Veröffentlicht:	Amsterdam 1989
Schriftenreihe:	Centrum voor Wiskunde en Informatica <Amsterdam> / Afdeling Numerieke Wiskunde: Report NM 1989,4
Schlagworte:	Differential equations, Partial > Numerical solutions > Computer programs
Zusammenfassung:	Abstract: "In the last decade numerical techniques have been developed to solve time-dependent Partial Differential Equations (PDEs) in one dimension having solutions with steep gradients in space and in time. One of these techniques, a moving-grid method based on a Lagrangian description of the PDE and a smoothed-equidistribution principle to define the grid positions at each time-level, has been coupled to a spatial discretization method which automatically discretized the spatial part of the user-defined PDE following the Method of Lines approach We supply two subroutines, CWRESU and CWRESX, which compute the residuals of the ODE system obtained from semi-discretizing resp., the PDE and the set of moving-grid equations. These routines are combined in an enveloping routine SKMRES which delivers the residuals of the complete ODE system to be used in a SPRINT[2,3,] environment. To solve this stiff, nonlinear implicit ODE system, a robust and efficient time-integrator must be applied, such as one of the BDF modules in SPRINT. Some numerical examples are shown to illustrate the simple and effective use of this software interface.
Beschreibung:	37 S.