Direct computation of operational matrices for polynomial bases (Q1958795)
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scientific article; zbMATH DE number 5793726
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Direct computation of operational matrices for polynomial bases |
scientific article; zbMATH DE number 5793726 |
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Direct computation of operational matrices for polynomial bases (English)
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30 September 2010
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Summary: Several numerical methods for boundary value problems use integral and differential operational matrices, expressed in polynomial bases in a Hilbert space of functions. This work presents a sequence of matrix operations allowing a direct computation of operational matrices for polynomial bases, orthogonal or not, starting with any previously known reference matrix. Furthermore, it shows how to obtain the reference matrix for a chosen polynomial base. The results presented here can be applied not only for integration and differentiation, but also for any linear operation.
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boundary value problems
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operational matrices
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polynomial bases
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integration
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differentiation
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linear operation
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