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Rigorous uniform approximation of d-finite functions using chebyshev expansions (2013).
| Content Provider | CiteSeerX |
|---|---|
| Author | Benoit, Alexandre Joldes, Mioara Mezzarobba, Marc |
| Abstract | A wide range of numerical methods exists for computing polynomial approximations of solutions of ordinary differential equations based on Chebyshev series expansions or Chebyshev interpolation polynomials. We consider the application of such methods in the context of rigorous computing (where we need guarantees on the accuracy of the result), and from the complexity point of view. It is well-known that the order-n truncation of |
| File Format | |
| Publisher Date | 2013-01-01 |
| Access Restriction | Open |
| Subject Keyword | D-finite Function Using Chebyshev Expansion Rigorous Uniform Approximation Chebyshev Series Expansion Order-n Truncation Numerical Method Ordinary Differential Equation Rigorous Computing Polynomial Approximation Wide Range Complexity Point Chebyshev Interpolation Polynomial |
| Content Type | Text |
