Multi time scale differential equations for simulating frequency modulated signals

DOI10.1016/J.APNUM.2004.08.013zbMath1069.65103OpenAlexW2045519838MaRDI QIDQ1772810

Roland Pulch

Publication date: 21 April 2005

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

Full work available at URL: https://doi.org/10.1016/j.apnum.2004.08.013

zbMATH Keywords

Numerical examplesTime scalesVan der Pol oscillatorMethod of characteristicsCharacteristic curvesCircuit simulationFrequency modulationMultirate partial differential algebraic equationQuasiperiodic signals

Mathematics Subject Classification ID

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

Related Items (8)

Asymptotic solvers for oscillatory systems of differential equations ⋮ 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 ⋮ Initial-boundary value problems of warped MPDAEs including minimisation criteria ⋮ Multidimensional models for analysing frequency modulated signals ⋮ Polynomial chaos for multirate partial differential algebraic equations with random parameters ⋮ On highly oscillatory problems arising in electronic engineering ⋮ Wavelet-based adaptive grids for multirate partial differential-algebraic equations

Uses Software

• RODAS

Cites Work

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• Classification and numerical simulation of electric circuits
• CAD-based electric-circuit modeling in industry. I: Mathematical structure and index of network equations
• A method of characteristics for solving multirate partial differential equations in radio frequency application
• Finite difference methods for multi time scale differential algebraic equations
• Analyzing circuits with widely separated time scales using numerical PDE methods
• Analyzing oscillators using multitime PDEs

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