A method of numerical integration for a system of ordinary differential equations with the use of the Hermitian interpolating polynomials (Q1571267)
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scientific article; zbMATH DE number 1472991
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | A method of numerical integration for a system of ordinary differential equations with the use of the Hermitian interpolating polynomials |
scientific article; zbMATH DE number 1472991 |
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A method of numerical integration for a system of ordinary differential equations with the use of the Hermitian interpolating polynomials (English)
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25 September 2001
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The authors suggest a method of numerical integration for a system of ordinary differential equations. The method is based on the representation of the right-hand sides of the differential equation in terms of Hermitian interpolating polynomials, is A-stable, and is characterized by a local error of the seventh order with respect to the integration step. The results of calculations for some known test problems are reported; algorithmic methods are described that make it possible to write a program for integrating a system of ordinary differential equations with discontinuous right-hand sides.
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A-stability
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error bound
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numerical examples
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system
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Hermitian interpolating polynomials
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test problem
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discontinuous right-hand sides
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