Parallel treatment of block-bidiagonal matrices in the solution of ordinary differential boundary value problems

DOI10.1016/0377-0427(93)90274-FzbMath0780.65019MaRDI QIDQ688614

Juan-Miguel Gracia

Publication date: 23 January 1994

Published in: Journal of Computational and Applied Mathematics (Search for Journal in Brave)

zbMATH Keywords

parallel algorithmscollocationmultiple shootingblock-bidiagonal systemblock-cyclic reductionrecursive doubling

Mathematics Subject Classification ID

Parallel numerical computation (65Y05) Numerical solution of boundary value problems involving ordinary differential equations (65L10) Linear boundary value problems for ordinary differential equations (34B05) Direct numerical methods for linear systems and matrix inversion (65F05)

Related Items (3)

A survey of parallel direct methods for block bidiagonal linear systems on distributed memory computers ⋮ Parallel solution of almost block diagonal systems on a hypercube ⋮ Almost block diagonal linear systems: sequential and parallel solution techniques, and applications

Uses Software

• NAG
• SOLVEBLOK
• nag
• COLROW
• ARCELO

Cites Work

• Solving almost block diagonal systems on parallel computers
• Stable parallel elimination for boundary value ODEs
• Staircase Matrices and Systems
• FORTRAN Packages for Solving Certain Almost Block Diagonal Linear Systems by Modified Alternate Row and Column Elimination
• SOLVEBLOK: A Package for Solving Almost Block Diagonal Linear Systems
• Stable Parallel Algorithms for Two-Point Boundary Value Problems
• Parallel Computers 2
• Alternate Row and Column Elimination for Solving Certain Linear Systems

This page was built for publication: Parallel treatment of block-bidiagonal matrices in the solution of ordinary differential boundary value problems