Construction of convergent upper and lower bounds of solutions of systems of ordinary differential equations with interval initial data (Q1309079)
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scientific article; zbMATH DE number 468709
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Construction of convergent upper and lower bounds of solutions of systems of ordinary differential equations with interval initial data |
scientific article; zbMATH DE number 468709 |
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Construction of convergent upper and lower bounds of solutions of systems of ordinary differential equations with interval initial data (English)
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13 March 1994
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The method discussed in the paper uses a spline approximation to the solution of the system which depends linearly on the initial condition. An interval inclusion is obtained as an interval sum of the interval extension of this spline approximation for interval initial data and an error interval. Particular attention is paid to the case of linear systems. The convergence of the constructed bounds is proved and their stability is analyzed.
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interval analysis
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upper and lower bounds
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spline approximation
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interval inclusion
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error interval
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linear systems
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convergence
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stability
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