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020 _a9781461471721
_9978-1-4614-7172-1
024 7 _a10.1007/978-1-4614-7172-1
_2doi
050 4 _aQA370-380
072 7 _aPBKJ
_2bicssc
072 7 _aMAT007000
_2bisacsh
082 0 4 _a515.353
_223
100 1 _aIliev, Oleg P.
_eeditor.
245 1 0 _aNumerical Solution of Partial Differential Equations: Theory, Algorithms, and Their Applications
_h[electronic resource] :
_bIn Honor of Professor Raytcho Lazarov's 40 Years of Research in Computational Methods and Applied Mathematics /
_cedited by Oleg P. Iliev, Svetozar D. Margenov, Peter D Minev, Panayot S. Vassilevski, Ludmil T Zikatanov.
264 1 _aNew York, NY :
_bSpringer New York :
_bImprint: Springer,
_c2013.
300 _aXII, 327 p. 49 illus.
_bonline resource.
336 _atext
_btxt
_2rdacontent
337 _acomputer
_bc
_2rdamedia
338 _aonline resource
_bcr
_2rdacarrier
347 _atext file
_bPDF
_2rda
490 1 _aSpringer Proceedings in Mathematics & Statistics,
_x2194-1009 ;
_v45
505 0 _aImproving Conservation for First-Order System Least Squares Finite-Element Methods, James Adler, Panayot Vassilevski -- Multiscale Coarsening for Linear Elasticity by Energy Minimization, Heiko Andrae, Marco Buck, Oleg Iliev -- Preconditioners for some matrices of two-by-two block form, with applications, I, Owe Axelsson -- A multigrid algorithm for an elliptic problem with a perturbed boundary condition,  Andrea Bonito, Joe Pasciak -- Parallel Unsmoothed Aggregation Algebraic Multigrid Algorithms on GPUs,  James Brannick, Yao Chen, Xiaozhe Hu, Ludmil Zikatanov -- Aspects of Guaranteed Error Control in Computational Partial Differential Equations, Carsten Carstensen, Christian Merdon, Johannes Neumann -- A Finite Volume Element Method for a Nonlinear Parabolic Problem, Panagiotis Chatzipantelidis, Victor Ginting -- Multidimensional Sensitivity Analysis of Large-scale Mathematical Models, Ivan Dimov, Rayna Georgieva -- Structures and waves in a nonlinear heat-conducting medium, Stefka Dimova, Milena Dimova, Daniela Vasileva -- Efficient parallel algorithms for unsteady incompressible flows, Jean-Luc Guermond, Peter Minev -- Efficient solvers for some classes of time-periodic eddy current optimal control problems -- Michael Kolmbauer, Ulrich Langer -- Robust Algebraic Multilevel Preconditioners for Anisotropic Problems, Johannes Kraus, Maria Lymbery, Svetozar Margenov -- A weak Galerkin mixed finite element method for biharmonic equations, Lin Mu, Junping Wang, Yanqiu Wang, Xiu Ye -- Domain decomposition scheme for first order evolution equations  with nonselfadjoint operators, Petr Vabishchevich, Petr Zakharov -- Spectral coarse spaces in robust two-level methods, Joerg Willems.
520 _aOne of the current main challenges in the area of scientific computing is the design and implementation of accurate numerical models for complex physical systems which are described by time-dependent coupled systems of nonlinear PDEs. This volume integrates the works of experts in computational mathematics and its applications, with a focus on modern algorithms which are at the heart of accurate modeling: adaptive finite element methods, conservative finite difference methods and finite volume methods, and multilevel solution techniques. Fundamental theoretical results are revisited in survey articles, and new techniques in numerical analysis are introduced. Applications showcasing the efficiency, reliability, and robustness of the algorithms in porous media, structural mechanics, and electromagnetism are presented. Researchers and graduate students in  numerical analysis and numerical solutions of PDEs and their scientific computing applications will find this book useful. 
650 0 _aMathematics.
650 0 _aFunctional equations.
650 0 _aDifferential equations, partial.
650 0 _aComputer science
_xMathematics.
650 0 _aNumerical analysis.
650 1 4 _aMathematics.
650 2 4 _aPartial Differential Equations.
650 2 4 _aNumerical Analysis.
650 2 4 _aDifference and Functional Equations.
650 2 4 _aComputational Mathematics and Numerical Analysis.
700 1 _aMargenov, Svetozar D.
_eeditor.
700 1 _aMinev, Peter D.
_eeditor.
700 1 _aVassilevski, Panayot S.
_eeditor.
700 1 _aZikatanov, Ludmil T.
_eeditor.
710 2 _aSpringerLink (Online service)
773 0 _tSpringer eBooks
776 0 8 _iPrinted edition:
_z9781461471714
830 0 _aSpringer Proceedings in Mathematics & Statistics,
_x2194-1009 ;
_v45
856 4 0 _uhttp://dx.doi.org/10.1007/978-1-4614-7172-1
912 _aZDB-2-SMA
999 _c95863
_d95863