Wavelet-based adaptive grids for multirate partial differential-algebraic equations

DOI10.1016/J.APNUM.2008.03.003zbMath1160.65334OpenAlexW2024776486MaRDI QIDQ1007371

Stephanie Knorr, Andreas Bartel, Roland Pulch

Publication date: 20 March 2009

Published in: Applied Numerical Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.apnum.2008.03.003

zbMATH Keywords

waveletsnumerical exampleshyperbolic systemsdifferential-algebraic equationsfinite difference methodsmethod of characteristicselectric circuitsmultirate partial differential-algebraic equationsquasiperiodic signals

Mathematics Subject Classification ID

Partial functional-differential equations (35R10) Signal theory (characterization, reconstruction, filtering, etc.) (94A12) Numerical methods for wavelets (65T60) Finite difference methods for initial value and initial-boundary value problems involving PDEs (65M06) Numerical aspects of the method of characteristics for initial value and initial-boundary value problems involving PDEs (65M25) Analytic circuit theory (94C05)

Related Items (4)

Scientific computing in electrical engineering SCEE 2010. Selected papers based on the presentations at the 8th conference, Toulouse, France, September 2010. ⋮ Existence and uniqueness of optimal solutions for multirate partial differential algebraic equations ⋮ Index-analysis for a method of lines discretising multirate partial differential algebraic equations ⋮ Fast Algorithms for Adaptive Free Knot Spline Approximation Using Nonuniform Biorthogonal Spline Wavelets

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