Hybrid solution of partial differential equations by application of invariant imbedding to the serial method-Reference-Cited by-同舟云学术

Hybrid solution of partial differential equations by application of invariant imbedding to the serial method

Published:1971-10 Issue:4 Volume:17 Page:147-153
ISSN:0037-5497
Container-title:SIMULATION
language:en
Short-container-title:SIMULATION

Author:

Nelson Paul¹,Altom Donald W.¹

Affiliation:

1. Oak Ridge National Laboratory Oak Ridge, Tennessee

Abstract

This paper presents a hybrid computational method in which invariant imbedding is used to effect analog solution of the boundary-value problems which typically result from time discretization of a partial differential equation. The method is developed from fundamentals, scaling rules are derived, computational results are presented and discussed, and possible extensions are mentioned.

Publisher

SAGE Publications

Subject

Computer Graphics and Computer-Aided Design,Modelling and Simulation,Software

Link

http://journals.sagepub.com/doi/pdf/10.1177/003754977101700403

Reference17 articles.

1. A new stable computing method for the serial hybrid computer integration of partial differential equations

2. Serial solution of parabolic partial differential equations: The decomposition method for non-linear and space-dependent problems

3. Hybrid computing techniques for solving parabolic and hyperbolic partial differential equations

4. Application of invariant imbedding to the solution of partial differential equations by the continuous-space discrete-time method

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1. HYBRID SIMULATION OF DISTRIBUTED PARAMETER SYSTEMS;Distributed Parameter Control Systems;1982

2. A stochastic method for the solution of the diffusion equation;SIMULATION;1975-08

3. References;Initial Value Methods for Boundary Value Problems: Theory and Application of Invariant Imbedding;1973