Wavelet approach incorporated with optimization for solving stiff systems
Zhang, Tonghua, Tade, Moses O., Tian, Yu-Chu, Zhang, Yanduo, & Utomo, Johan (2008) Wavelet approach incorporated with optimization for solving stiff systems. Journal of Mathematical Chemistry, 43(4), pp. 1533-1548.
Wavelet-based methods open a door for numerical solution of differential equations. Stiff systems, a special type of differential equation systems, have the solutions with the components that exhibit complex dynamic behaviours such as singularities and abrupt transitions, which are hard to be captured by the typical numerical method or incur the computing complexity. This paper proposed to use the Wavelet-Galerkin scheme for solving stiff systems. Daubechies wavelet based connection coefficients, required in the wavelet-galerkin scheme, were computed using an algorithm that we recently rectified. The Lagrange multiplier method was incorporated into the wavelet approach in order to optimise the fitting of the initial conditions. Comparative studies were also carried out between the proposed approach and the Haar wavelet approach.
Impact and interest:
Citation counts are sourced monthly from and citation databases.
These databases contain citations from different subsets of available publications and different time periods and thus the citation count from each is usually different. Some works are not in either database and no count is displayed. Scopus includes citations from articles published in 1996 onwards, and Web of Science® generally from 1980 onwards.
Citations counts from theindexing service can be viewed at the linked Google Scholar™ search.
Full-text downloads displays the total number of times this work’s files (e.g., a PDF) have been downloaded from QUT ePrints as well as the number of downloads in the previous 365 days. The count includes downloads for all files if a work has more than one.
|Item Type:||Journal Article|
|Keywords:||wavelet, stiff systems, optimization|
|Subjects:||Australian and New Zealand Standard Research Classification > MATHEMATICAL SCIENCES (010000) > NUMERICAL AND COMPUTATIONAL MATHEMATICS (010300) > Numerical Analysis (010301)
Australian and New Zealand Standard Research Classification > MATHEMATICAL SCIENCES (010000) > NUMERICAL AND COMPUTATIONAL MATHEMATICS (010300) > Numerical Analysis (010301)
Australian and New Zealand Standard Research Classification > INFORMATION AND COMPUTING SCIENCES (080000) > ARTIFICIAL INTELLIGENCE AND IMAGE PROCESSING (080100) > Simulation and Modelling (080110)
|Divisions:||Past > QUT Faculties & Divisions > Faculty of Science and Technology|
|Copyright Owner:||Copyright 2008 Springer|
|Copyright Statement:||The original publication is available at SpringerLink
|Deposited On:||08 Aug 2008 00:00|
|Last Modified:||29 Feb 2012 13:47|
Repository Staff Only: item control page