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One step integration methods with maximum stability regions

✍ Scribed by Ingemar P.E. Kinnmark; William G. Gray

Book ID
103895680
Publisher
Elsevier Science
Year
1984
Tongue
English
Weight
533 KB
Volume
26
Category
Article
ISSN
0378-4754

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✦ Synopsis

North-~&dland One step intcgratmn methods. usmg K function ecaiu;tt~ons, lor the solutlnn of a system of ordinary differential equations d v,~dt = .4 -I' are evoluoted. A general cxptcsston for a class of methods is found for all positive integers K. This class of methods ~a proven IO maxrmrze the intercai on the tmagmar~ .LXIS which IS contained in the stability region such that the stdditv constratnt is crptm~ized. It IS proven that ever\ method slth thlh optimal stability property has d pal :namral M defined h> : , J, = M.u, for whtch M(IS,! = exp(iS,1~,/2) wh&e S, =A-I.

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πŸ“œ SIMILAR VOLUMES

One step integration methods of third-fo
One step integration methods of third-fourth order accuracy with large hyperbolic stability limits
✍ Ingemar P.E. Kinnmark; William G. Gray πŸ“‚ Article πŸ“… 1984 πŸ› Elsevier Science 🌐 English βš– 614 KB

One step integration methods of third and fourth order accuracy that use h' function e\a:uations to solve the s\stern of differential equations d\_v/dr = A ..v are proposed. These methods are shown to have a hvperhdic stahilitv limit elf ; ( Awhich approaches the theoretical maximum limit of K -1 at