Parallel implementation of BVM methods

DOI10.1016/0168-9274(93)90043-QzbMath0789.65053MaRDI QIDQ686547

Donato Trigiante, Luigi Brugnano, Francesca Mazzia

Publication date: 10 October 1993

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

zbMATH Keywords

iterative methodinitial value problemparallel implementationboundary value methodparallel computerBVM methodsunsymmetric block tridiagonal linear system

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) Linear boundary value problems for ordinary differential equations (34B05)

Related Items (10)

Boundary value methods for the solution of differential-algebraic equations ⋮ A well-conditioned direct pint algorithm for first- and second-order evolutionary 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 ⋮ A parallel direct method for solving initial value problems for ordinary differential equations ⋮ Boundary value methods and BV-stability in the solution of initial value problems ⋮ 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

Uses Software

• CGS

Cites Work

• Conjugate gradient type methods for unsymmetric and inconsistent systems of linear equations
• Generalized conjugate-gradient acceleration of nonsymmetrizable iterative methods
• Numerical methods for second order singular perturbation problems
• Variational Iterative Methods for Nonsymmetric Systems of Linear Equations
• Conjugate Gradient-Like Algorithms for Solving Nonsymmetric Linear Systems
• GMRES: A Generalized Minimal Residual Algorithm for Solving Nonsymmetric Linear Systems
• CGS, A Fast Lanczos-Type Solver for Nonsymmetric Linear systems
• The Lanczos Biorthogonalization Algorithm and Other Oblique Projection Methods for Solving Large Unsymmetric Systems
• A Lanczos Method for a Class of Nonsymmetric Systems of Linear Equations

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