LEADER 05615nam 2200745Ia 450 001 9910811669203321 005 20230617001318.0 010 $a1-281-91933-0 010 $a9786611919337 010 $a981-277-419-X 035 $a(CKB)1000000000411333 035 $a(EBL)1679466 035 $a(OCoLC)879074236 035 $a(SSID)ssj0000159422 035 $a(PQKBManifestationID)11161358 035 $a(PQKBTitleCode)TC0000159422 035 $a(PQKBWorkID)10159568 035 $a(PQKB)11324659 035 $a(MiAaPQ)EBC1679466 035 $a(WSP)00006037 035 $a(Au-PeEL)EBL1679466 035 $a(CaPaEBR)ebr10201306 035 $a(CaONFJC)MIL191933 035 $a(EXLCZ)991000000000411333 100 $a20060821d2005 uy 0 101 0 $aeng 135 $aur|n|---||||| 181 $ctxt 182 $cc 183 $acr 200 10$aFrontiers and prospects of contemporary applied mathematics$b[electronic resource] /$feditors, Tatsien Li, Pingwen Zhang 210 $aBeijing, China $cHigher Education Press ;$aSingapore ;$aNew Jersey $cWorld Scientific$dc2005 215 $a1 online resource (276 p.) 225 1 $aSeries in contemporary applied mathematics ;$v6 300 $a"During the period of the 8th Annual Conference of the China Society for Industrial and Applied Mathematics (CSIAM) held on August 24-30, 2004 in Xiangtan, Hunan Province, China, the Symposium on Frontiers and Prospects of Contemporary Applied Mathematics was held"--Pref. 311 $a7-04-018575-X 320 $aIncludes bibliographical references. 327 $aContents ; Preface ; Invited Talks ; An Iterative BEM for the Inverse Problem of Detecting Corrosion in a Pipe ; 1 Introduction ; 2 Formulation of the inverse problem ; 3 The iterative boundary element method for this Cauchy problem ; 4 Numerical results for the inverse problem 327 $a5 Conclusions References ; Analysis of the Local Quasicontinuum Method ; 1 Introduction ; 2 The existence theorem for the continuum and the atomistic models ; 3 Local quasicontinuum method ; 4 Estimate of e(QC) ; References 327 $aThe Artificial Boundary Method-Numerical Solutions of Partial Differential Equations on Unbounded Domains 1 Introduction ; 2 Two typical problems ; 3 The global (nonlocal) artificial boundary conditions ; 4 Local boundary conditions ; 5 Discrete artificial boundary conditions 327 $a6 Implicit boundary conditions 7 Conclusions ; References ; Optimal order integration on the sphere ; 1 Introduction ; 2 Extremal fundamental systems versus product rules ; 3 Optimal order estimates for cubature in Sobolev spaces ; 4 Numerical example ; References 327 $aA Survey of Multi-symplectic Runge-Kutta Type Methods for Hamiltonian Partial Differential Equations 1 Introduction ; 2 Multi-symplecticity of Runge-Kutta type methods for the general Hamiltonian partial differential equations 327 $a3 Multi-symplectic Runge-Kutta type methods for Schrodinger equations 330 $a This collection of articles covers the hottest topics in contemporary applied mathematics. Multiscale modeling, material computing, symplectic methods, parallel computing, mathematical biology, applied differential equations and engineering computing problems are all included. The book contains the latest results of many leading scientists and provides a window on new trends in research in the field. Sample Chapter(s)
Chapter 1: An Iterative BEM for the Inverse Problem of Detecting Corrosion in a Pipe (467 KB)

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