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CHEBINT: Operations on multivariate Chebyshev approximations
| Content Provider | Semantic Scholar |
|---|---|
| Author | Poppe, Koen Cools, Ronald |
| Copyright Year | 2011 |
| Abstract | We detail the implementation of basic operations on multivari-ate Chebyshev approximations. In most cases, they can be derived directly from well known properties of univariate Chebyshev polyno-mials. Besides addition, subtraction and multiplication, we discuss integration, indefinite di↵erentiation, indefinite integration and interpolation. The latter three, can be written as matrix-vector products of a structured sparse matrix and the respectively the component vector and function values which might be used in the context of di↵erential equations. Abstract We detail the implementation of basic operations on multivariate Chebyshev approximations. In most cases, they can be derived directly from well known properties of univariate Chebyshev polynomials. Besides addition, subtraction and multiplication, we discuss integration, indefinite di↵erentiation, indefinite integration and interpolation. The latter three, can be written as matrix-vector products of a structured sparse matrix and the respectively the component vector and function values which might be used in the context of di↵erential equations. |
| File Format | PDF HTM / HTML |
| Alternate Webpage(s) | http://www.cs.kuleuven.be/publicaties/rapporten/tw/TW603.pdf |
| Language | English |
| Access Restriction | Open |
| Content Type | Text |
| Resource Type | Article |
