A parallel direct method for solving initial value problems for ordinary differential equations

DOI10.1016/0168-9274(93)90041-OzbMath0798.65078OpenAlexW2057152707MaRDI QIDQ686545

Donato Trigiante, Pierluigi Amodio

Publication date: 10 October 1993

Published in: Applied Numerical Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/0168-9274(93)90041-o

zbMATH Keywords

numerical resultsparallel computationinitial value problemboundary value methodlinear solverblock tridiagonal systemparallel cyclic reduction

Mathematics Subject Classification ID

Linear ordinary differential equations and systems (34A30) Parallel numerical computation (65Y05) Numerical methods for initial value problems involving ordinary differential equations (65L05)

Related Items (7)

Boundary value methods for the solution of differential-algebraic equations ⋮ The role of difference equations in numerical analysis ⋮ Boundary value methods based on Adams-type methods ⋮ Parallel block preconditioning for the solution of boundary value methods ⋮ Stability of some boundary value methods for the solution of initial value problems ⋮ A parallel preconditioning technique for boundary value methods ⋮ Stability properties of some boundary value methods

Cites Work

• Unnamed Item
• Parallel implementation of BVM methods
• A multilevel parallel solver for block tridiagonal and banded linear systems
• Tridiagonal matrices: Invertibility and conditioning
• Solving narrow banded systems on ensemble architectures
• Boundary value techniques for initial value problems in ordinary differential equations
• Parallel Factorizations for Tridiagonal Matrices

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