Three stories of high oscillation

zbMath1360.65189MaRDI QIDQ389895

Arieh Iserles

Publication date: 21 January 2014

Published in: European Mathematical Society Newsletter (Search for Journal in Brave)

zbMATH Keywords

numerical exampleshighly oscillatory integralslinear Schrödinger equationordinary differential equations with highly oscillatory forcing terms

Mathematics Subject Classification ID

Nonlinear ordinary differential equations and systems (34A34) Finite difference methods for initial value and initial-boundary value problems involving PDEs (65M06) Oscillation theory, zeros, disconjugacy and comparison theory for ordinary differential equations (34C10) Numerical methods for initial value problems involving ordinary differential equations (65L05) Approximate quadratures (41A55) Numerical quadrature and cubature formulas (65D32) Time-dependent Schrödinger equations and Dirac equations (35Q41)

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Stabilizing effect of large average initial velocity in forced dissipative PDEs invariant with respect to Galilean transformations ⋮ Hyperbolicity and averaging for the Srzednicki-Wójcik equation

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