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A practical method to integrate some stiff systems

โœ Scribed by R. Bloch

Publisher
Elsevier Science
Year
1991
Tongue
English
Weight
516 KB
Volume
24
Category
Article
ISSN
0010-4809

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โœฆ Synopsis

A compact, absolutely stable numerical method is presented to integrate stiff systems of pseudo-linear, ordinary, first-order differential equations, commonly found in the simulation of biological models. Solutions are stepwise approximated by a complete set of first order rational polynomials. Mass balance is preserved by the approximations. No matrix inversions are required. Besides being stable, the method is also convergent and can be used with deferred approximation to the limit h = 0. Comparisons between this method and the Stoer-Bullirsch algorithm and fourth-order Runge-Kutta method are presented. w 1991

Academic Press, Inc.

๐Ÿ“œ SIMILAR VOLUMES

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## Abstract A method of formulating and computing numerically integrated stiffness matrices is presented. Through a better organization of the formulation which is easily achieved by the use of index notation, the computations for integrating and evaluating the element stiffness matrix are substant