Haar wavelet approach to nonlinear stiff systems

By Chun-Hui Hsiao, Wen-June Wang. 2001

159 citations recorded by the source corpus.

Subfields: Modeling and Simulation, Numerical Analysis, Statistical and Nonlinear Physics

View Paper: https://www.semanticscholar.org/paper/ceb248faea2c7f206b151a218f7af5ae1a30cef5

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Citations in the corpus

Numerical solution of stiff systems from nonlinear dynamics using single-term Haar wavelet series (2008, methodology): “They may be expressed as linear combinations of the Haar wavelets, so many results about the Haar wavelets carry over to the Walsh system easily [ 4 ].”
A Comparative Study of a Haar Wavelet Method and a Restrictive Taylor's Series Method for Solving Convection-diffusion Equations (2010, background): “There are some useful discussions by other researchers [ 10 , 11 , 12 ].”
An Overview of Haar Wavelet Method for Solving Differential and Integral Equations (2013, background): “3 State analysis and optimal control of linear 1997 Hsiao., C.H Wang, W.J Dynamic systems to transform the time-varying systems via Haar wavelets time-varying function and its product with the states into a Haar product matrix 4 Wavelet approach to optimizing 1999 Chen, C.F., Hsiao,C.H Haar Analysis”
Numerical solution of differential equations by using Haar wavelets (2007, background): “In order to take the advantages of the local property,many authors researched the Haar wavelet to solve the differential and integral equations[3,4,5,6].”
A numerical assessment of parabolic partial differential equations using Haar and Legendre wavelets (2013, unknown): “[17,19,20,16,21–23].”
Haar wavelet method for solving some nonlinear Parabolic equations (2010, background): “There are some useful discussions by other researchers [28,29].”
Application of the Haar wavelet transform to solving integral and differential equations (2007, unknown): “Nonlinear stiff systems were examined in [13].”