A transformation domain description for nonlinear partial differential equations

European Signal Processing Conference

Volumn 2015-March, Issue March, 2000, Pages

  Rabenstein, Rudolf ^a   Trautmann, Lutz ^a  

^a UNIVERSITY OF ERLANGEN NUREMBERG   (Germany)

Author keywords

[No Author keywords available]

Indexed keywords

CONTROL NONLINEARITIES; DIFFERENTIAL EQUATIONS; INTEGRAL EQUATIONS; LINEAR TRANSFORMATIONS; MATHEMATICAL TRANSFORMATIONS; NONLINEAR EQUATIONS; ONE DIMENSIONAL; PARTIAL DIFFERENTIAL EQUATIONS; TRANSFER FUNCTIONS;

COMPUTER IMPLEMENTATIONS; INDEPENDENT VARIABLES; INTEGRAL TRANSFORMATIONS; LINEAR MULTIDIMENSIONAL SYSTEM; NONLINEAR PARTIAL DIFFERENTIAL EQUATIONS; ONE-DIMENSIONAL SYSTEMS; TRANSFER FUNCTION MODEL; TRANSFORMATION DOMAIN;

SIGNAL PROCESSING;

EID: 84937053655     PISSN: 22195491     EISSN: None     Source Type: Conference Proceeding    
DOI: None     Document Type: Conference Paper

References (9)

1. R. Rabenstein, "Transfer function models for multidimensional systems with bounded spatial domains," Mathematical and Computer Modelling of Dynamical Systems, vol. 5, no. 3, pp. 259-278, 1999.
2. R. Rabenstein, "Discrete simulation models for multidimensional systems based on functional transformations," in Mathematics in Signal Processing IV, J.G. McWhirter and I.K. Proudler, Eds. 1998, pp. 335-347, Oxford University Press.
3. A. Tveito and R. Winther, Introduction to Partial Differential Equations, Springer, New-York, 1998.
4. A. Quarteroni and A. Valli, Numerical Approximation of Partial Differential Equations, Springer-Verlag, Berlin, 1994.
5. A. Fettweis, "New results in numerically integrating PDEs by the wave digital approach," in Proc. Int. Symp. Circuits and Systems (ISCAS 99). IEEE, 1999, pp. V-17-V-20.
6. R.V. Churchill, Operational Mathematics, McGraw-Hill, New York, 3. edition, 1972.
7. R.M. Cotta, Integral Transforms in Computational Heat and Fluid Flow, CRC Press, Boca Raton, 1993.
8. M.D. Mikhailov and M.N. Ozisik, Unified Analysis and Solutions of Heat and Mass Diffusion, John Wiley &Sons, 1984.
9. L. Trautmann and R. Rabenstein, "Transfer function models with nonlinear excitation functions for digital sound synthesis," in X European Signal Processing Conference (EUSIPCO 2000). EURASIP, Sept. 2000.