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.

References in zbMATH (referenced in 15 articles , 1 standard article )

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  1. Carasso, Alfred S.: Reconstructing the past from imprecise knowledge of the present: effective non-uniqueness in solving parabolic equations backward in time (2013)
  2. Pangon, V.: Structure of the broken phase of the sine-Gordon model using functional renormalization (2012)
  3. Pangon, V.; Nagy, S.; Polonyi, J.; Sailer, K.: Onset of symmetry breaking by the functional RG method (2011)
  4. 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)
  5. Fairweather, Graeme; Gladwell, Ian: Algorithms for almost block diagonal linear systems (2004)
  6. Wang, R.; Keast, P.; Muir, P.: BACOL: B-spline adaptive collocation software for 1-D parabolic PDEs (2004)
  7. Wang, Rong; Keast, Patrick; Muir, Paul: A comparison of adaptive software for 1D parabolic PDEs (2004)
  8. Zaturska, M.B.; Banks, W.H.H.: New solutions for flow in a channel with porous walls and/or non-rigid walls (2003)
  9. Banks, W.H.H.; Zaturska, M.B.: Swirling flow in a porous pipe with an accelerating wall (1996)
  10. Cash, J.R.; Psihoyios, Y.: The MOL solution of time dependent partial differential equations (1996)
  11. Huang, Weizhang; Russell, Robert D.: A moving collocation method for solving time dependent partial differential equations (1996)
  12. Zaturska, M.B.; Banks, W.H.H.: Flow in a pipe driven by suction at an accelerating wall (1995)
  13. Berzins, M.; Dew, P.M.: Algorithm 690: Chebyshev polynomial software for elliptic-parabolic systems of PDEs (1991)
  14. Cox, Stephen M.: Two-dimensional flow of a viscous fluid in a channel with porous walls (1991)
  15. Watson, P.; Banks, W.H.H.; Zaturska, M.B.; Drazin, P.G.: Laminar channel flow driven by accelerating walls (1991)