On the modelling of the 2-D wave equation using multidimensional wave digital filters

ISCAS 2001 - 2001 IEEE International Symposium on Circuits and Systems, Conference Proceedings

Volumn 2, Issue , 2001, Pages 377-380

  Lawson, S S ^a   Guzman, J G ^a  

^a UNIVERSITY OF WARWICK   (United Kingdom)

Author keywords

[No Author keywords available]

Indexed keywords

INITIAL AND BOUNDARY CONDITIONS; SATISFACTORY SOLUTIONS; SYSTEMS OF PARTIAL DIFFERENTIAL EQUATIONS; TO EFFECT; WAVE DIGITAL FILTERS;

WAVE EQUATIONS;

BOUNDARY CONDITIONS; COMPUTER SIMULATION; DIGITAL FILTERS; INITIAL VALUE PROBLEMS; MATHEMATICAL MODELS;

MULTI-DIMENSIONAL WAVE DIGITAL FILTER (MDWDF);

EID: 0034998482     PISSN: None     EISSN: None     Source Type: Conference Proceeding    
DOI: 10.1109/ISCAS.2001.921086     Document Type: Conference Paper

References (10)

1. Fettweis, A. & G. Nitsche, Numerical Integration of Partial Differential Equations Using Principles of Multidimensional Wave Digital Filters. J. of VLSI Sig. Proc, 1991. 3: p. 7-24 (Pubitemid 21696269)
2. Kron, G., Electrical circuit models of the Schrodinger equation. Physical Review, 1945. 67: p. 39-43.
3. Rabenstein, R. & L. Trautmann. Solution of vector PDE's by transfer function models, in ISCAS'99. 1999. Orlando, FL: IEEE.
4. Basu. S. & A. Zerzghi. Multidimensional digital filter approach for numerical solution of a class of PDEs of the propagating wave type, in ISCAS'98. 1998. Monterey: IEEE.
5. Koumboulis, F. N., M. G. Skarpetis, and B. G. Mertzios. Robust discretization algorithms for the numerical integration of nonlinear PDEs with application to a generalized capacitor, in Coll. on Multidimensional Systems: Problems and Solutions. 1998. London: IEE.
6. Xu. C. Q., S. C. Bass, and X. Wang, Accommodating linear and nonlinear boundary conditions in wave digital simulations of PDE systems. J. of Circ. Sys & Computers, 1997. 7: p. 563-97. (Pubitemid 127579939)
7. Roberts, A. L. and S. S. Lawson. The Modelling of a 2-D Hyperbolic Wave Equation Using Wave Digital Filters. in Multi-Dimensional Systems: Problems and Solutions. 1996. London: IEE.
8. Krauss, H. & R. Rabenstein, Application of Multidimensional Wave Digital Filters to Boundary Value Problems. IEEE Sig. Proc. Letters, 1995. 2: p. 138-40.
9. Elmore, W. C. and M. A. Heald, Physics of Waves. 1985: Dover.
10. Waller, M. D., Chladni Figures: A Study in Symmetiy. 1961, London: G. Bell & Sons.