## PDECHEB

 swMATH ID: 12905 Software Authors: Berzins, M.; Dew, P.M. Description: 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]. Homepage: http://dl.acm.org/citation.cfm?doid=108556.108566 Keywords: PDECHEB; FORTRAN 77 software package; Chebyshev polynomial expansions; elliptic parabolic equations; method of lines; spatial discretization methods Related Software: PDECOL; DASSL; EPDCOL; CWRESX; CWRESU; Algorithm 731; BACOL; MOVCOL; COLROW; NAG; COLSYS; BACOLR; RADAU; MIRKDC; COLNEW; ABDPACK; ARCELO; nag; MEBDF Cited in: 15 Publications

### Standard Articles

1 Publication describing the Software, including 1 Publication in zbMATH Year
Algorithm 690: Chebyshev polynomial software for elliptic-parabolic systems of PDEs. Zbl 0900.65271
Berzins, M.; Dew, P. M.
1991
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### Cited by 20 Authors

 4 Banks, W. H. H. 4 Zaturska, Maria B. 3 Keast, Patrick 3 Muir, Paul H. 3 Wang, Rong 2 Pangon, V. 1 Berzins, Martin 1 Carasso, Alfred S. 1 Cash, Jeff R. 1 Cox, Stephen Michael 1 Dew, Peter M. 1 Drazin, Philip Gerald 1 Fairweather, Graeme 1 Gladwell, Ian 1 Huang, Weizhang 1 Nagy, Sándor 1 Polonyi, Janos 1 Psihoyios, Y. 1 Russell, Robert D. 1 Sailer, K.
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### Cited in 11 Serials

 3 ACM Transactions on Mathematical Software 2 International Journal of Modern Physics A 2 Acta Mechanica 1 Computers & Mathematics with Applications 1 Journal of Fluid Mechanics 1 Mathematical Methods in the Applied Sciences 1 Fluid Dynamics Research 1 Journal of Computational and Applied Mathematics 1 Applied Numerical Mathematics 1 European Journal of Applied Mathematics 1 SIAM Review
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### Cited in 6 Fields

 8 Numerical analysis (65-XX) 7 Partial differential equations (35-XX) 5 Fluid mechanics (76-XX) 2 Quantum theory (81-XX) 2 Statistical mechanics, structure of matter (82-XX) 1 Information and communication theory, circuits (94-XX)