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| Content Provider | Springer Nature Link |
|---|---|
| Author | Fettweis, Alfred |
| Copyright Year | 2006 |
| Abstract | Numerical integration of linear and nonlinear ordinary and partial differential equations describing physically realistic systems can be achieved by means of principles derived from those originally developed in the context of wave digital filters, thus in a specialized branch of the broader area of digital signal processing. The method draws maximum advantage of essential physical properties of such systems, in particular of causality, passivity, finiteness of propagation velocities etc. and makes use of the trapezoidal rule for approximating the differential operators. This way it has the unique advantage of simultaneously offering second-order accuracy, high robustness and fault tolerance, massive parallelism, full localness (also for taking into account arbitrary boundary conditions and shapes), and explicit or at least semi-explicit computability. A brief overview of the method is given. |
| Starting Page | 7 |
| Ending Page | 25 |
| Page Count | 19 |
| File Format | |
| ISSN | 09236082 |
| Journal | Multidimensional Systems and Signal Processing |
| Volume Number | 17 |
| Issue Number | 1 |
| e-ISSN | 15730824 |
| Language | English |
| Publisher | Kluwer Academic Publishers |
| Publisher Date | 2006-01-01 |
| Publisher Place | Boston |
| Access Restriction | One Nation One Subscription (ONOS) |
| Subject Keyword | Robust numerical integration linear and nonlinear ordinary and partial differential equations multidimensional causal and passive systems wave-digital approach Artificial Intelligence (incl. Robotics) Electronic and Computer Engineering Signal, Image and Speech Processing Circuits and Systems |
| Content Type | Text |
| Resource Type | Article |
| Subject | Applied Mathematics Artificial Intelligence Signal Processing Information Systems Computer Science Applications Software Hardware and Architecture |
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