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» Asymptotic analysis of finite difference methods
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AMC
2004
139views more  AMC 2004»
13 years 10 months ago
Asymptotic analysis of finite difference methods
With this article, we want to advocate the use of asymptotic methods for the analysis of finite difference schemes. We present several examples to demonstrate the applicability of...
Michael Junk, Zhaoxia Yang

Publication
289views
12 years 9 months ago
An Analysis of Finite Volume, Finite Element, and Finite Difference Methods Using Some Concepts from Algebraic Topology
In this paper we apply the ideas of algebraic topology to the analysis of the finite volume and finite element methods, illuminating the similarity between the discretization str...
Claudio Mattiussi
ISCAS
2007
IEEE
179views Hardware» more  ISCAS 2007»
14 years 5 months ago
Analysis for Signal and Power Integrity Using the Multilayered Finite Difference Method
— We present a method for fast analysis of signal and power integrity based on a recently developed multilayered finite difference method (M-FDM). In order to accurately model m...
Ege Engin, Krishna Bharath, Madhavan Swaminathan
COMBINATORICS
2006
124views more  COMBINATORICS 2006»
13 years 10 months ago
A Hybrid of Darboux's Method and Singularity Analysis in Combinatorial Asymptotics
A "hybrid method", dedicated to asymptotic coefficient extraction in combinatorial generating functions, is presented, which combines Darboux's method and singulari...
Philippe Flajolet, Éric Fusy, Xavier Gourdo...
SIAMAM
2008
131views more  SIAMAM 2008»
13 years 10 months ago
Asymptotic and Numerical Techniques for Resonances of Thin Photonic Structures
We consider the problem of calculating resonance frequencies and radiative losses of an optical resonator. The optical resonator is in the form of a thin membrane with variable die...
J. Gopalakrishnan, S. Moskow, F. Santosa