001434810 000__ 03801cam\a2200553\i\4500 001434810 001__ 1434810 001434810 003__ OCoLC 001434810 005__ 20230309003820.0 001434810 006__ m\\\\\o\\d\\\\\\\\ 001434810 007__ cr\cn\nnnunnun 001434810 008__ 210313s2021\\\\si\\\\\\ob\\\\001\0\eng\d 001434810 019__ $$a1241732482 001434810 020__ $$a9789813366435$$q(electronic bk.) 001434810 020__ $$a9813366435$$q(electronic bk.) 001434810 020__ $$z9813366427 001434810 020__ $$z9789813366428 001434810 0247_ $$a10.1007/978-981-33-6643-5$$2doi 001434810 035__ $$aSP(OCoLC)1241450010 001434810 040__ $$aEBLCP$$beng$$erda$$epn$$cEBLCP$$dYDX$$dGW5XE$$dOCLCO$$dOCLCF$$dUKAHL$$dOCLCO$$dOCLCQ$$dCOM$$dOCLCQ 001434810 049__ $$aISEA 001434810 050_4 $$aTA331 001434810 08204 $$a620.001/51$$223 001434810 1001_ $$aZhou, You-He,$$eauthor. 001434810 24510 $$aWavelet numerical method and its applications in nonlinear problems /$$cYou-He Zhou. 001434810 264_1 $$aSingapore :$$bSpringer,$$c[2021] 001434810 300__ $$a1 online resource (494 pages) 001434810 336__ $$atext$$btxt$$2rdacontent 001434810 337__ $$acomputer$$bc$$2rdamedia 001434810 338__ $$aonline resource$$bcr$$2rdacarrier 001434810 4901_ $$aEngineering applications of computational methods ;$$vvolume 6 001434810 504__ $$aIncludes bibliographical references and index. 001434810 5050_ $$aIntroduction -- Basis of wavelets -- Wavelet approximation of a function -- Wavelet solution for linear boundary value problems -- Wavelet method for solving linear initial boundary value problems -- Wavelet closed method for nonlinear boundary value problems -- Wavelet method for solving nonlinear initial boundary value problems -- Applications of the wavelet closed method in mechanics and physics problems -- Summary and prospects. 001434810 506__ $$aAccess limited to authorized users. 001434810 520__ $$aThis book summarizes the basic theory of wavelets and some related algorithms in an easy-to-understand language from the perspective of an engineer rather than a mathematician. In this book, the wavelet solution schemes are systematically established and introduced for solving general linear and nonlinear initial boundary value problems in engineering, including the technique of boundary extension in approximating interval-bounded functions, the calculation method for various connection coefficients, the single-point Gaussian integration method in calculating the coefficients of wavelet expansions and unique treatments on nonlinear terms in differential equations. At the same time, this book is supplemented by a large number of numerical examples to specifically explain procedures and characteristics of the method, as well as detailed treatments for specific problems. Different from most of the current monographs focusing on the basic theory of wavelets, it focuses on the use of wavelet-based numerical methods developed by the author over the years. Even for the necessary basic theory of wavelet in engineering applications, this book is based on the authors own understanding in plain language, instead of a relatively difficult professional mathematical description. This book is very suitable for students, researchers and technical personnel who only want to need the minimal knowledge of wavelet method to solve specific problems in engineering. 001434810 588__ $$aDescription based on print version record. 001434810 650_0 $$aWavelets (Mathematics) 001434810 650_0 $$aNonlinear theories. 001434810 650_0 $$aEngineering mathematics. 001434810 650_6 $$aOndelettes. 001434810 650_6 $$aThéories non linéaires. 001434810 650_6 $$aMathématiques de l'ingénieur. 001434810 655_0 $$aElectronic books. 001434810 830_0 $$aEngineering applications of computational methods ;$$vvolume 6. 001434810 852__ $$bebk 001434810 85640 $$3Springer Nature$$uhttps://univsouthin.idm.oclc.org/login?url=https://link.springer.com/10.1007/978-981-33-6643-5$$zOnline Access$$91397441.1 001434810 909CO $$ooai:library.usi.edu:1434810$$pGLOBAL_SET 001434810 980__ $$aBIB 001434810 980__ $$aEBOOK 001434810 982__ $$aEbook 001434810 983__ $$aOnline 001434810 994__ $$a92$$bISE