Defect corrected averaging for highly oscillatory problems

DOI10.1016/j.amc.2015.03.081zbMath1410.65355OpenAlexW2035228853MaRDI QIDQ1643275

Andreas Naumann, Joerg Wensch, Alf Gerisch

Publication date: 19 June 2018

Published in: Applied Mathematics and Computation (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.amc.2015.03.081

zbMATH Keywords

preconditioningordinary differential equationsKrylov methodsoscillatory problemsparabolic PDEs

Mathematics Subject Classification ID

Method of lines for initial value and initial-boundary value problems involving PDEs (65M20) Numerical methods for stiff equations (65L04)

Cites Work

• Numerical stroboscopic averaging for ODEs and DAEs
• The heterogeneous multiscale methods
• Behandlung steifer Anfangswertprobleme gewöhnlicher Differentialgleichungen mit adaptiven Runge-Kutta-Methoden
• Adaptive multilevel solution of nonlinear parabolic PDE systems. Theory, algorithm, and applications
• Exponential integrators
• Mollified Impulse Methods for Highly Oscillatory Differential Equations
• GMRES: A Generalized Minimal Residual Algorithm for Solving Nonsymmetric Linear Systems
• Krylov Subspace Methods for Solving Large Unsymmetric Linear Systems
• A Second-Order Rosenbrock Method Applied to Photochemical Dispersion Problems
• Nineteen Dubious Ways to Compute the Exponential of a Matrix, Twenty-Five Years Later

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