caa a22 4500 477097200 CHVBK 20180405111531.0 cr unu---uuuuu 170330e19960901xx s 000 0 eng 10.1007/BF01188986 doi (NATIONALLICENCE)springer-10.1007/BF01188986 Finite modeling of parabolic equations using Galerkin methods and inverse matrix approximations [Elektronische Daten] [Rahul Chattergy, Vassilis Syrmos, Pradeep Misra] In this paper we examine order reduction of parabolic systems using modal truncation. The parabolic distributed system is first approximated using the Galerkin method. The system matrices have a special structure that allows us to find the approximate spectrum of the parabolic system. To do this we compute approximate inverses of tridiagonal, diagonally dominant symmetric matrices. The approximation leads to algorithms of orderO(n), as opposed to traditional algorithms of orderO(n), wheren is the order of the system. Finally, an example is presented to illustrate the proposed algorithm. Birkhäuser, 1996 Chattergy Rahul Department of Electronic Engineering, University of Hawaii at Manoa, 96822, Honolulu, Hawaii aut Syrmos Vassilis Department of Electronic Engineering, University of Hawaii at Manoa, 96822, Honolulu, Hawaii aut Misra Pradeep Department of Electrical Engineering, Wright State University, 45435, Dayton, Ohio aut Circuits, Systems and Signal Processing Birkhäuser-Verlag 15/5(1996-09-01), 631-648 0278-081X 15:5<631 1996 15 34 https://doi.org/10.1007/BF01188986 text/html Onlinezugriff via DOI 1 research-article jats NATIONALLICENCE 856 40 https://doi.org/10.1007/BF01188986 text/html Onlinezugriff via DOI NATIONALLICENCE 700 1- Chattergy Rahul Department of Electronic Engineering, University of Hawaii at Manoa, 96822, Honolulu, Hawaii aut NATIONALLICENCE 700 1- Syrmos Vassilis Department of Electronic Engineering, University of Hawaii at Manoa, 96822, Honolulu, Hawaii aut NATIONALLICENCE 700 1- Misra Pradeep Department of Electrical Engineering, Wright State University, 45435, Dayton, Ohio aut NATIONALLICENCE 773 0- Circuits, Systems and Signal Processing Birkhäuser-Verlag 15/5(1996-09-01), 631-648 0278-081X 15:5<631 1996 15 34 Metadata rights reserved Springer special CC-BY-NC licence nationallicence BK010053 XK010053 XK010000 NATIONALLICENCE NATIONALLICENCE NL-springer