IEEE International Symposium on Circuits and Systems
DOI: 10.1109/iscas.1990.112255
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Numerical integration of partial differential equations by means of multidimensional wave digital filters

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Cited by 18 publications
(8 citation statements)
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“…In addition, equation (8) Both equations can now be interpreted as mesh equations with the current vectors i and (l/r)u. Figure 6 shows the network described by equations (7) and (8).…”
Section: Distributed Modelmentioning
confidence: 99%
“…In addition, equation (8) Both equations can now be interpreted as mesh equations with the current vectors i and (l/r)u. Figure 6 shows the network described by equations (7) and (8).…”
Section: Distributed Modelmentioning
confidence: 99%
“…Let a proper time-domain model for a linear physical system be given, for example, using (a) the finite difference time-domain method ( FD-TD)2.5 (b) the transmission-line matrix method (TLM)6,7 (c) the wave digital filter method (WDF) [8][9][10][11][12] Though most of the exemplary references deal with electromagnetic problems, the approach is in no way restricted to this special field. For all methods, (a), (b) and (c), the state of the system at some time instant, tkr is represented by a set of state variables, either by samples of the field quantities (FD-TD) or by certain wave quantities (TLM and WDF).…”
Section: New Approach For Solving Eigenvalue Problemsmentioning
confidence: 99%
“…This concept has also successfully been applied to numerical solutions of ordinary differential equations by digital simulation of nonlinear circuits, even with chaotic behavior [5][6][7][8]. Parallel to this development, the concept has been extended to multidimensional wave digital filters in order to numerically integrate partial differential equations [9][10][11]. But it would be too superficial to regard the wave digital concept merely as a simulation tool.…”
Section: Introductionmentioning
confidence: 99%