A Graphical Search for Stiffly Stable Methods for Ordinary Differential Equations

C. Dill; C. W. Gear

doi:10.1145/321623.321631

A Graphical Search for Stiffly Stable Methods for Ordinary Differential Equations

C. Dill, C. W. Gear

Chemical & Biological Engineering

Research output: Contribution to journal › Article › peer-review

Abstract

An interactive computer graphics program was used to search for stiffly stable methods of orders seven through fifteen. Previously, methods of orders up to six were known. Methods of orders seven and eight were found in this search. The evidence gathered for the class of methods which requires a minimum of previous values to be kept indicates that no stiffly stable methods of this type exist for orders eight through fifteen.

Original language	English (US)
Pages (from-to)	75-79
Number of pages	5
Journal	Journal of the ACM (JACM)
Volume	18
Issue number	1
DOIs	https://doi.org/10.1145/321623.321631
State	Published - Jan 1 1971

All Science Journal Classification (ASJC) codes

Software
Control and Systems Engineering
Information Systems
Hardware and Architecture
Artificial Intelligence

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10.1145/321623.321631

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abstract = "An interactive computer graphics program was used to search for stiffly stable methods of orders seven through fifteen. Previously, methods of orders up to six were known. Methods of orders seven and eight were found in this search. The evidence gathered for the class of methods which requires a minimum of previous values to be kept indicates that no stiffly stable methods of this type exist for orders eight through fifteen.",

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A Graphical Search for Stiffly Stable Methods for Ordinary Differential Equations

Abstract

All Science Journal Classification (ASJC) codes

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