Title :
Numerical integration of nonlinear PDEs using MD passive circuits
Author :
Koumboulis, F.N. ; Mertzios, B.G.
Author_Institution :
Dept. of Mech. & Ind. Eng., Univ. of Thessaly, Volos, Greece
Abstract :
Numerical integration of nonlinear (NL) partial differential equations (PDEs) is studied via transformation of the system and then realization of the transformed system to a passive generalized Kirchhoff circuit. The Kirchhoff circuit is appropriately discretized in order to be represented by a discrete multidimensional (MD) system, using principles of wave digital filters (WDFs).
Keywords :
nonlinear differential equations; partial differential equations; passive networks; wave digital filters; multidimensional passive circuits; nonlinear partial differential equations; numerical integration; passive generalized Kirchhoff circuit; wave digital filters; Approximation methods; Digital filters; Handheld computers; Mathematical model; Partial differential equations; Robustness;
Conference_Titel :
Signal Processing Conference (EUSIPCO 1998), 9th European
Conference_Location :
Rhodes
Print_ISBN :
978-960-7620-06-4