Polynomial approximate solutions with a priori error bounds of first-order quasi-linear initial-value partial differential problems (Q1600514)
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scientific article; zbMATH DE number 1755400
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Polynomial approximate solutions with a priori error bounds of first-order quasi-linear initial-value partial differential problems |
scientific article; zbMATH DE number 1755400 |
Statements
Polynomial approximate solutions with a priori error bounds of first-order quasi-linear initial-value partial differential problems (English)
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13 June 2002
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Polynomial approximate solutions with a priori error bounds are constructed for a class of first order quasi-linear initial-value partial differential problems with analytic Cauchy data. It is achieved by constructing first a power series solution and then appropriately truncating it according to a prefixed accuracy.
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polynomial approximate solutions
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quasi-linear equations
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Cauchy problem
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truncated power series solution
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error bounds
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first order quasi-linear initial-value partial differential problems
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