Collocation software for second-order elliptic partial differential equations

DOI10.1145/6187.6191zbMath0584.65075OpenAlexW2058030675MaRDI QIDQ3707309

William F. Mitchell, Elias N. Houstis, John R. Rice

Publication date: 1985

Published in: ACM Transactions on Mathematical Software (Search for Journal in Brave)

Full work available at URL: https://docs.lib.purdue.edu/cstech/365

zbMATH Keywords

collocationtwo-dimensionalHermite bicubicsFortran implementationsGENCOLHERMCOLINTCOL

Mathematics Subject Classification ID

Spectral, collocation and related methods for boundary value problems involving PDEs (65N35) Boundary value problems for second-order elliptic equations (35J25) Software, source code, etc. for problems pertaining to partial differential equations (35-04)

Related Items (11)

General interior Hermite collocation methods for second-order elliptic partial differential equations ⋮ A moving collocation method for solving time dependent partial differential equations ⋮ A generalized Schwarz splitting method based on Hermite collocation for elliptic boundary value problems ⋮ Nonoverlapping domain decomposition with cross points for orthogonal spline collocation ⋮ An overdetermined B-spline collocation method for Poisson problems on complex domains ⋮ Effect of a sawtooth boundary on Couette flow ⋮ Orthogonal spline collocation methods for partial differential equations ⋮ Iterative solution of elliptic collocation systems on a cognitive parallel computer ⋮ The numerical solution of PDE problems with standard software packages ⋮ Vorticity induced by a moving elliptic belt ⋮ Optimal quadratic and cubic spline collocation on nonuniform partitions

Uses Software

• ELLPACK

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