Transformation approach to numerically integrating PDEs by means of WDF principles

DOI10.1007/BF01938221zbMath0743.93090MaRDI QIDQ1176556

Alfred Fettweis, Gunnar Nitsche

Publication date: 25 June 1992

Published in: Multidimensional Systems and Signal Processing (Search for Journal in Brave)

zbMATH Keywords

Maxwell's equationswave digital filters

Mathematics Subject Classification ID

Filtering in stochastic control theory (93E11) Multivariable systems, multidimensional control systems (93C35) Digital control/observation systems (93C62)

Related Items (10)

Robust numerical integration using wave-digital concepts ⋮ Solving a one-dimensional moving boundary problem based on wave digital principles ⋮ Exploiting the parallelism of multidimensional wave digital algorithms on multicore computers ⋮ Analytical modeling of laminated composite plates using Kirchhoff circuit and wave digital filters ⋮ A new look at 2D shallow water equations of fluid dynamics via multidimensional Kirchhoff paradigm ⋮ Numerical integration of fluid dynamics problems by discrete dynamical systems ⋮ A practical guide to multidimensional wave digital algorithms using an example of fluid dynamics ⋮ Electromagnetic modeling of carbon-fiber reinforced composite materials using the wave digital concept ⋮ Discrete simulation of linear multidimensional continuous systems ⋮ Automatic generation of wave digital structures for numerically integrating linear symmetric hyperbolic PDEs

Cites Work

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• Two-dimensional digital signal processing I. Linear filters
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• Multidimensional digital filtering by using parallel algorithms based on diagonal processing
• Digital circuits and systems
• Numerical integration of partial differential equations using principles of multidimensional wave digital filters
• New results on stable multidimensional polynomials-Part I: Continuous case
• New results on stable multidimensional polynomials- Part II: Discrete case
• Parametric representation of brune functions

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