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Variable-order variable-step algorithms for second-order systems. Part 1: The methods (1988)

Thomas, R. M. ; Gladwell, I.

Chichester [u.a.] : Wiley-Blackwell

International Journal for Numerical Methods in Engineering 26 (1988), S. 39-53

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ISSN: 0029-5981

Keywords: Engineering ; Engineering General

Source: Wiley InterScience Backfile Collection 1832-2000

Topics: Mathematics , Technology

Notes: We develop a new class of multistage algorithms for second-order systems of ordinary differential equations (ODE's) based on methods by Zienkiewicz et al.13 Our new methods are designed to provide a set of efficient methods which can be used with local error estimators based on embedding techniques. In a companion paper, we provide a set of subroutines implementing the algorithms derived and a discussion of numerical experience with the resulting codes.

Additional Material: 7 Tab.

Type of Medium: Electronic Resource

URL: http://dx.doi.org/10.1002/nme.1620260104

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