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2 results on '"65L05, 65D30, 42B20, 42A10"'

1. Asymptotic solvers for ordinary differential equations with multiple frequencies

Author

Condon, Marissa, Deano, Alfredo, Gao, Jing, and Iserles, Arieh

Subjects
Mathematics - Numerical Analysis, 65L05, 65D30, 42B20, 42A10
Abstract

We construct asymptotic expansions for ordinary differential equations with highly oscillatory forcing terms, focussing on the case of multiple, non-commensurate frequencies. We derive an asymptotic expansion in inverse powers of the oscillatory parameter and use its truncation as an exceedingly effective means to discretize the differential equation in question. Numerical examples illustrate the effectiveness of the method., Comment: This paper has been accepted for publication in SCIENCE CHINA Mathematics

Published
2015
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2. Asymptotic solvers for ordinary differential equations with multiple frequencies

Author

Marissa Condon, Jing Gao, Arieh Iserles, and Alfredo Deaño

Subjects
Oscillation theory, Electronic engineering, General Mathematics, Mathematical analysis, Numerical Analysis (math.NA), 65L05, 65D30, 42B20, 42A10, Exponential integrator, Method of matched asymptotic expansions, Integrating factor, Stochastic partial differential equation, Examples of differential equations, QA372, FOS: Mathematics, QA299, Mathematics - Numerical Analysis, Differential algebraic equation, Mathematics, Numerical partial differential equations
Abstract

We construct asymptotic expansions for ordinary differential equations with highly oscillatory forcing terms, focussing on the case of multiple, non-commensurate frequencies. We derive an asymptotic expansion in inverse powers of the oscillatory parameter and use its truncation as an exceedingly effective means to discretize the differential equation in question. Numerical examples illustrate the effectiveness of the method., This paper has been accepted for publication in SCIENCE CHINA Mathematics

Published
2015

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