Algorithm 704: ABDPACK and ABBPACK-FORTRAN programs for the solution of almost block diagonal linear systems arising in spline collocation at Gaussian points with monomial basis functions

DOI10.1145/146847.146927zbMath0892.65051OpenAlexW2031868056WikidataQ113310565 ScholiaQ113310565MaRDI QIDQ4371796

Fouad Majaess, Karin R. Bennett, Graeme Fairweather, Patrick Keast

Publication date: 9 February 1998

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

Full work available at URL: http://www.acm.org/pubs/contents/journals/toms/1992-18/

zbMATH Keywords

implicit Runge-Kutta methodssystems of linear equationsmultiple shootingFORTRAN programstwo-point boundary valuespline collocation at Gaussian pointsalternate column and row pivotingmonomial spline basis

Mathematics Subject Classification ID

Computational methods for sparse matrices (65F50) Nonlinear boundary value problems for ordinary differential equations (34B15) Finite element, Rayleigh-Ritz, Galerkin and collocation methods for ordinary differential equations (65L60) Numerical solution of boundary value problems involving ordinary differential equations (65L10) Direct numerical methods for linear systems and matrix inversion (65F05) Software, source code, etc. for problems pertaining to ordinary differential equations (34-04)

Related Items (15)

Far field behaviour of waves in a vibrationally relaxing gas. ⋮ Orthogonal cubic spline collocation method for the Cahn-Hilliard equation ⋮ Second-order splitting combined with orthogonal cubic spline collocation method for the Kuramoto-Sivashinsky equation ⋮ A fourth–order orthogonal spline collocation method for two‐dimensional Helmholtz problems with interfaces ⋮ The Crank-Nicolson orthogonal spline collocation method for one-dimensional parabolic problems with interfaces ⋮ An ADI Crank-Nicolson orthogonal spline collocation method for 2D parabolic problems with an interface ⋮ Fourth order orthogonal spline collocation methods for two-point boundary value problems with interfaces ⋮ High-order orthogonal spline collocation methods for two-point boundary value problems with interfaces ⋮ An alternating direction implicit method for orthogonal spline collocation linear systems ⋮ Unnamed Item ⋮ Orthogonal spline collocation methods for partial differential equations ⋮ Orthogonal cubic spline collocation method for the extended Fisher--Kolmogorov equation ⋮ Matrix decomposition algorithms for separable elliptic boundary value problems in two space dimensions ⋮ Almost block diagonal linear systems: sequential and parallel solution techniques, and applications ⋮ ABDPACK

Uses Software

• COLNEW

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