PDECHEB
Algorithm 690: Chebyshev polynomial software for elliptic-parabolic systems of PDEs. PDECHEB is a FORTRAN 77 software package that semidiscretizes a wide range of time-dependent partial differential equations in one space variable. The software implements a family of spacial discretization formulas, based on piecewise Chebyshev polynomial expansions with $C^0$ continuity. The package has been designed to be used in conjunction with a general integrator for initial value problems to provide a powerful software tool for the solution of parabolic-elliptic PDEs with coupled differential algebraic equations. Examples are provided to illustrate the use of the package with the DASSL d.a.e integrator of Petzold [18].
This software is also peer reviewed by journal TOMS.
This software is also peer reviewed by journal TOMS.
Keywords for this software
References in zbMATH (referenced in 15 articles , 1 standard article )
Showing results 1 to 15 of 15.
Sorted by year (- Carasso, Alfred S.: Reconstructing the past from imprecise knowledge of the present: effective non-uniqueness in solving parabolic equations backward in time (2013)
- Pangon, V.: Structure of the broken phase of the sine-Gordon model using functional renormalization (2012)
- Pangon, V.; Nagy, S.; Polonyi, J.; Sailer, K.: Onset of symmetry breaking by the functional RG method (2011)
- Wang, R.; Keast, P.; Muir, P. H.: Algorithm 874: BACOLR -- spatial and temporal error control software for PDEs based on high-order adaptive collocation. (2008)
- Fairweather, Graeme; Gladwell, Ian: Algorithms for almost block diagonal linear systems (2004)
- Wang, R.; Keast, P.; Muir, P.: BACOL: B-spline adaptive collocation software for 1-D parabolic PDEs (2004)
- Wang, Rong; Keast, Patrick; Muir, Paul: A comparison of adaptive software for 1D parabolic PDEs (2004)
- Zaturska, M. B.; Banks, W. H. H.: New solutions for flow in a channel with porous walls and/or non-rigid walls (2003)
- Banks, W. H. H.; Zaturska, M. B.: Swirling flow in a porous pipe with an accelerating wall (1996)
- Cash, J. R.; Psihoyios, Y.: The MOL solution of time dependent partial differential equations (1996)
- Huang, Weizhang; Russell, Robert D.: A moving collocation method for solving time dependent partial differential equations (1996)
- Zaturska, M. B.; Banks, W. H. H.: Flow in a pipe driven by suction at an accelerating wall (1995)
- Berzins, M.; Dew, P. M.: Algorithm 690: Chebyshev polynomial software for elliptic-parabolic systems of PDEs (1991)
- Cox, Stephen M.: Two-dimensional flow of a viscous fluid in a channel with porous walls (1991)
- Watson, P.; Banks, W. H. H.; Zaturska, M. B.; Drazin, P. G.: Laminar channel flow driven by accelerating walls (1991)