Abstract
Before we introduce the applications of the wavelet Galerkin method to solve the boundary-value problems, in this chapter, we introduce the error analysis and the boundary extension technology what we conducted such that we know when the accuracy of the applications is ensured.
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References
Ten DI (1999) lectures on wavelets. Society for Industrial and Applied Mathematics, Philadelphia
Meyer Y (1992) Wavelets and operators. Cambridge University Press, New York
Zhou YH, Wang JZ (1997) Generalized wavelet Gaussian integral method and its application in differential equations (in Chinese). Shanghai University Press, Modern Mathematics and Mechanics MMM-VII, Shanghai, pp 464–467
Zhou YH, Wang JZ (1999) Generalized Gaussian integral method for wavelet scaling function calculation and its application (in Chinese). Acta Mathematicav Scientia 19:293–300
Wang JZ, Zhou YH (1998) Error estimation of the generalized wavelet Gaussian integral method (in Chinese). J Lanzhou Univ 34:26–30
Wang JZ (2001) Generalized theory and arithmetic of orthogonal wavelets and applications to researches of mechanics including piezoelectric smart structures (in Chinese). PhD dissertation, Lanzhou University, China
Wang C (1994) A concise tutorial on numerical analysis (in Chinese). Higher Education Press, Beijing
Mallat SG (1989) A theory for multiresolution signal decomposition: the wavelet representation. IEEE Trans Pattern Anal Mach Intell 11:674–691
Cohen A (2003) Numerical analysis of wavelet methods. Elsevier, New York
Werner W (1984) Polynomial interpolation: lagrange versus Newton. Mathematics of Computation. 43:205–217
Rashed MT (2004) Lagrange interpolation to compute the numerical solutions of differential, integral and integro-differential equations. Appl Math Comput 151:869–878
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Zhou, YH. (2021). Error Analysis and Boundary Extension. In: Wavelet Numerical Method and Its Applications in Nonlinear Problems. Engineering Applications of Computational Methods, vol 6. Springer, Singapore. https://doi.org/10.1007/978-981-33-6643-5_4
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DOI: https://doi.org/10.1007/978-981-33-6643-5_4
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