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Showing 1 to 4 of 4 for “"Highly oscillatory ordinary differential equations"”.
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An Efficient Numerical Method for Highly Oscillatory Ordinary Differential Equations
Made available in DSpace on 2014-12-13T18:02:08Z (GMT). No. of bitstreams: 1 7913576.pdf: 4586247 bytes, checksum: 9e93387e85c97ce39de078f6b8e8aaad (MD5) Previous issue date: 1978
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Numerical methods for systems of highly oscillatory ordinary differential equations
… made contribution to the numerical analysis of highly oscillatory ordinary differential equations. Highly oscillatory functions appear to be at the forefront of the research in numerical analysis. In this work we developed efficient numerical algorithms for solving highly oscillatory …
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An Algorithm for the Detection and Integration of Highly Oscillatory Ordinary Differential Equations Using a Generalized Unified Modified Divided Difference Representation
… which automatically integrates systems of ordinary differential equations which have highly oscillatory solutions. Natural variable step derivations of the Generalized Adams and Generalized BDF methods are presented. An efficient numerical algorithm for the evaluation of the local period of …
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Primordial evolution of cosmological perturbations: Theory and computation
… open-source software) for solving a class of highly oscillatory ordinary differential equations efficiently, which speeds up the forward-modelling step of cosmological inference significantly by enabling fast numerical evolution of primordial fluctuations. I discuss other uses of the numerical …