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Finite difference methods for multi time scale differential algebraic equations
Author(s) -
Pulch R.
Publication year - 2003
Publication title -
zamm ‐ journal of applied mathematics and mechanics / zeitschrift für angewandte mathematik und mechanik
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.449
H-Index - 51
eISSN - 1521-4001
pISSN - 0044-2267
DOI - 10.1002/zamm.200310042
Subject(s) - computation , transient (computer programming) , construct (python library) , computer science , differential equation , finite difference , scale (ratio) , algebraic number , mathematics , partial differential equation , differential (mechanical device) , electronic circuit , finite difference method , algorithm , mathematical analysis , physics , operating system , quantum mechanics , thermodynamics , programming language
Abstract In radio frequency applications, electronic circuits include oscillatory signals with widely separated time scales. Thus transient analysis demands a large amount of computation. A multidimensional signal model yields an alternative approach. This strategy causes savings in computation time and memory, if the arising partial differential algebraic equation (PDAE) is solved efficiently. For this purpose, we construct a specific finite difference method, which is based on the information transport in the PDAE system. Test results confirm that both PDAE model and corresponding finite difference technique are suitable for simulating driven oscillators.