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001 978-1-4419-7916-2
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007 cr nn 008mamaa
008 101029s2011 xxu| s |||| 0|eng d
020 _a9781441979162
_9978-1-4419-7916-2
024 7 _a10.1007/978-1-4419-7916-2
_2doi
050 4 _aQA297-299.4
072 7 _aPBKS
_2bicssc
072 7 _aMAT021000
_2bisacsh
072 7 _aMAT006000
_2bisacsh
082 0 4 _a518
_223
100 1 _aHuang, Weizhang.
_eauthor.
245 1 0 _aAdaptive Moving Mesh Methods
_h[electronic resource] /
_cby Weizhang Huang, Robert D. Russell.
264 1 _aNew York, NY :
_bSpringer New York,
_c2011.
300 _aXVIII, 434 p.
_bonline resource.
336 _atext
_btxt
_2rdacontent
337 _acomputer
_bc
_2rdamedia
338 _aonline resource
_bcr
_2rdacarrier
347 _atext file
_bPDF
_2rda
490 1 _aApplied Mathematical Sciences,
_x0066-5452 ;
_v174
505 0 _aPreface -- Introduction -- Adaptive Mesh Movement in 1D -- Discretization of PDEs on Time-Varying Meshes -- Basic Principles of Multidimensional Mesh Adaption -- Monitor Functions -- Variational Mesh Adaptive Methods -- Velocity-Based Adaptive Methods -- Appendix: Sobolev Spaces -- Appendix: Arithmetic Mean Geometric Mean Inequality and Jensen's Inequality -- Bibliography.
520 _aMoving mesh methods are an effective, mesh-adaptation-based approach for the numerical solution of mathematical models of physical phenomena. Currently there exist three main strategies for mesh adaptation, namely, to use mesh subdivision,  local high order approximation (sometimes combined with mesh subdivision), and mesh movement. The latter type of adaptive mesh method has been less well studied, both computationally and theoretically. This book is about adaptive mesh generation and moving mesh methods for the numerical solution of time-dependent partial differential equations. It presents a general framework and theory for adaptive mesh generation and gives a comprehensive treatment of moving mesh methods and their basic components, along with their application for a number of nontrivial physical problems.  Many explicit examples with computed figures illustrate the various methods and the effects of parameter choices for those methods. The partial differential equations considered are mainly parabolic (diffusion-dominated, rather  than convection-dominated). The extensive bibliography provides an invaluable guide to the literature in this field. Each chapter contains useful exercises. Graduate students, researchers and practitioners working in this area will benefit from this book. Weizhang Huang is a Professor in the Department of Mathematics at the University of Kansas. Robert D. Russell is a Professor in the Department of Mathematics at Simon Fraser University.
650 0 _aMathematics.
650 0 _aDifferential equations, partial.
650 0 _aComputer science
_xMathematics.
650 0 _aNumerical analysis.
650 1 4 _aMathematics.
650 2 4 _aNumerical Analysis.
650 2 4 _aComputational Mathematics and Numerical Analysis.
650 2 4 _aPartial Differential Equations.
700 1 _aRussell, Robert D.
_eauthor.
710 2 _aSpringerLink (Online service)
773 0 _tSpringer eBooks
776 0 8 _iPrinted edition:
_z9781441979155
830 0 _aApplied Mathematical Sciences,
_x0066-5452 ;
_v174
856 4 0 _uhttp://dx.doi.org/10.1007/978-1-4419-7916-2
912 _aZDB-2-SMA
999 _c105887
_d105887