Parallel integration of ODEs based on convolution algorithms

DOI10.1007/BF02238533zbMath0789.65057OpenAlexW2048249885MaRDI QIDQ1313246

Yuri P. Boglaev

Publication date: 13 June 1994

Published in: Computing (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/bf02238533

zbMATH Keywords

systolic arraysparallel computingFFT algorithmsconvolution algorithmscircle convolution by segmentingdirect convolutionLorenz model of liquid convectionoptical digital filtrationparallel signal processing

Mathematics Subject Classification ID

Nonlinear ordinary differential equations and systems (34A34) Numerical methods for discrete and fast Fourier transforms (65T50) Parallel numerical computation (65Y05) Numerical methods for initial value problems involving ordinary differential equations (65L05)

Cites Work

• Multiprocessor FFTs
• A design of time-optimum and register-number-minimum systolic convolvers
• A segmented FFT algorithm for vector computers
• Implementation of a prime factor FFT algorithm on CRAY-1
• Parallel methods for ordinary differential equations
• Parallel algorithms for initial-value problems for difference and differential equations
• Construction of extrapolation tables by systolic arrays for solving ordinary differential equations
• Regular and stochastic motion
• Iterated Runge–Kutta Methods on Parallel Computers
• Parallel integration of odes by vector field decompositions
• Deterministic Nonperiodic Flow
• Applications of functional analysis and operator theory
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