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Nonlinear stability and convergence of ERKN integrators for solving nonlinear multi-frequency highly oscillatory second-order ODEs with applications to semi-linear wave equations

Changying Liu, Xinyuan Wu

2020Applied Numerical Mathematics14 citationsDOI

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IntegratorMathematicsNonlinear systemDiscretizationRunge–Kutta methodsApplied mathematicsConvergence (economics)Mathematical analysisStability (learning theory)OdeNumerical analysisComputer scienceEconomicsBandwidth (computing)Computer networkQuantum mechanicsEconomic growthPhysicsMachine learningNumerical methods for differential equationsPower System Optimization and StabilityElectromagnetic Simulation and Numerical Methods
Nonlinear stability and convergence of ERKN integrators for solving nonlinear multi-frequency highly oscillatory second-order ODEs with applications to semi-linear wave equations | Litcius