On the potentiality of sequential and parallel codes based on extended trapezoidal rules (ETRs)

DOI10.1016/S0168-9274(97)00057-3zbMath0887.65071MaRDI QIDQ1372697

Luigi Brugnano, Donato Trigiante

Publication date: 18 November 1997

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

zbMATH Keywords

parallel computationboundary value methodsextended trapezoidal rules

Mathematics Subject Classification ID

Nonlinear ordinary differential equations and systems (34A34) Parallel numerical computation (65Y05) Numerical methods for initial value problems involving ordinary differential equations (65L05)

Related Items (8)

Convergence and stability of block boundary value methods applied to nonlinear fractional differential equations with Caputo derivatives ⋮ On the relations between B\(_2\)VMs and Runge-Kutta collocation methods ⋮ A note on the efficient implementation of implicit methods for ODEs ⋮ Analysis of a Chebyshev-based backward differentiation formulae and relation with Runge–Kutta collocation methods ⋮ Blended block BVMs (B\(_3\)VMs): A family of economical implicit methods for ODEs ⋮ Parallel solution in time of ODEs: Some achievements and perspectives ⋮ Parallel implementation of block boundary value methods on nonlinear problems: Theoretical results ⋮ Solving ordinary differential equations by generalized Adams methods: Properties and implementation techniques

Uses Software

• ParalleloGAM

Cites Work

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• Parallel implementation of block boundary value methods for ODEs
• Parallel implementation of block boundary value methods on nonlinear problems: Theoretical results
• Block boundary value methods for linear Hamiltonian systems
• A new mesh selection strategy for ODEs
• Parallel ODE solvers based on block BVMs
• High-order multistep methods for boundary value problems
• Convergence and stability of boundary value methods for ordinary differential equations
• Boundary value methods: The third way between linear multistep and Runge-Kutta methods
• Boundary Value Techniques for Initial Value Problems in Ordinary Differential Equations
• A boundary value approach to the numerical solution of initial value problems by multistep methos^†

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