000			02451nam a22003017a 4500
003			OSt
005			20241113110309.0
008			241113b |||||||| |||| 00| 0 hin d
020			_a9783030793876
040			_aNISER LIBRARY _cNISER LIBRARY _beng
082	0	0	_a517.95 _bKNA-N
100	1		_aKnabner, Peter.
245	1	0	_aNumerical methods for elliptic and parabolic partial differential equations
250			_a2nd extended ed.
260			_aCham : _bSpringer, _c2021.
300			_axix, 802 pages. : _biillustrations (some color). _c24 cm.
490			_aTexts in applied mathematics ; _v44 _x0939-2475
504			_aIncludes bibliographical references and index
520			_aThis graduate-level text provides an application oriented introduction to the numerical methods for elliptic and parabolic partial differential equations. It covers finite difference, finite element, and finite volume methods, interweaving theory and applications throughout. The book examines modern topics such as adaptive methods, multilevel methods, and methods for convection-dominated problems and includes detailed illustrations and extensive exercises. For students with mathematics major it is an excellent introduction to the theory and methods, guiding them in the selection of methods and helping them to understand and pursue finite element programming. For engineering and physics students it provides a general framework for the formulation and analysis of methods. This second edition sees additional chapters on mixed discretization and on generalizing and unifying known approaches; broader applications on systems of diffusion, convection and reaction; enhanced chapters on node-centered finite volume methods and methods of convection-dominated problems, specifically treating the now-popular cell-centered finite volume method; and the consideration of realistic formulations beyond the Poisson's equation for all models and methods.
650		0	_aDifferential equations, Partial _xNumerical solutions.
650		0	_aFinite element method
650		0	_aElliptic boundary value problems
650		0	_aDiscontinuous Galerkin method
700	1		_aAngermann, Lutz.
856	4	1	_3Table of contents _uhttps://link.springer.com/content/pdf/bfm:978-3-030-79385-2/1
856	4	1	_3Reviews _uhttps://www.goodreads.com/book/show/95053152-numerical-methods-for-elliptic-and-parabolic-partial-differential-equati#CommunityReviews
942			_2udc _cBK
999			_c35384 _d35384