Parallel Methods for the Numerical Solution of Ordinary Differential Equations

DOI10.1109/TC.1976.1674545zbMath0359.65063OpenAlexW2082592924MaRDI QIDQ4131557

Peter B. Worland

Publication date: 1976

Published in: IEEE Transactions on Computers (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1109/tc.1976.1674545

Mathematics Subject Classification ID

Numerical methods for initial value problems involving ordinary differential equations (65L05)

Related Items (16)

NP-STABILITY OF A NEW 2-POINT ONE BLOCK PREDICTOR-CORRECTOR METHOD FOR SOLVING NEUTRAL DELAY DIFFERENTIAL EQUATIONS ⋮ Block methods for second order odes ⋮ Block predictor-corrector schemes for the parallel solution of ODEs ⋮ Implementation of four-point fully implicit block method for solving ordinary differential equations ⋮ About the generation of parallel block predictor-corrector algorithms for ode's ⋮ A class of block methods for second order IVPs^∗: ⋮ Direct two-point block one-step method for solving general second-order ordinary differential equations ⋮ Unnamed Item ⋮ A large parallel block predictor-corrector method for initial value problems ⋮ Parallel step-by-step methods ⋮ Derivation of new block methods for the numerical solution of first-order IVP's ⋮ Limits of parallelism in explicit ODE methods ⋮ Matrix formulation of the Picard method for parallel computation ⋮ Derivation of a new block method similar to the block trapezoidal rule for the numerical solution of first-order IVPs ⋮ Parallel block predictor-corrector methods of Runge-Kutta type ⋮ Some methods of integrating ordinary differential equations on a multiprocessor computer

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