Uniformly accurate multiscale time integrators for second order oscillatory differential equations with large initial data
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Publication:2411643
DOI10.1007/s10543-017-0646-0zbMath1377.65087OpenAlexW2585507677MaRDI QIDQ2411643
Publication date: 24 October 2017
Published in: BIT (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1007/s10543-017-0646-0
convergencenumerical exampleFourier expansionerror estimateunbounded energylarge dataexponential integratoruniform accuracymultiscale time integratoroscillatory equations
Analytical theory of ordinary differential equations: series, transformations, transforms, operational calculus, etc. (34A25) Stability and convergence of numerical methods for ordinary differential equations (65L20) Oscillation theory, zeros, disconjugacy and comparison theory for ordinary differential equations (34C10) Numerical methods for initial value problems involving ordinary differential equations (65L05) Error bounds for numerical methods for ordinary differential equations (65L70)
Related Items (5)
Uniformly accurate nested Picard integrators for a system of oscillatory ordinary differential equations ⋮ Geometric Two-Scale Integrators for Highly Oscillatory System: Uniform Accuracy and Near Conservations ⋮ Improved uniform error bounds on parareal exponential algorithm for highly oscillatory systems ⋮ Simply improved averaging for coupled oscillators and weakly nonlinear waves ⋮ On nested Picard iterative integrators for highly oscillatory second-order differential equations
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