Parallel implementation of block boundary value methods for ODEs
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Publication:676146
DOI10.1016/S0377-0427(96)00112-4zbMath0868.65039OpenAlexW2115154862MaRDI QIDQ676146
Luigi Brugnano, Pierluigi Amodio
Publication date: 18 August 1997
Published in: Journal of Computational and Applied Mathematics (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1016/s0377-0427(96)00112-4
Linear ordinary differential equations and systems (34A30) Parallel numerical computation (65Y05) Numerical methods for initial value problems involving ordinary differential equations (65L05) Numerical solution of boundary value problems involving ordinary differential equations (65L10)
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Cites Work
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- Boundary value methods and BV-stability in the solution of initial value problems
- Parallel algorithms for initial-value problems for difference and differential equations
- \(A\)-stable parallel block methods for ordinary and integro-differential equations
- A parallel preconditioning technique for boundary value methods
- Stable parallel elimination for boundary value ODEs
- Block boundary value methods for linear Hamiltonian systems
- High-order multistep methods for boundary value problems
- Parallel iteration across the steps of high-order Runge-Kutta methods for nonstiff initial value problems
- Convergence and stability of boundary value methods for ordinary differential equations
- Parallel block preconditioning for the solution of boundary value methods
- A Cyclic Reduction Approach to the Numerical Solution of Boundary Value ODEs
- 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†
- Parallel methods for integrating ordinary differential equations
- Parallel Methods for the Numerical Integration of Ordinary Differential Equations
