LEADER 04607nam 2200553Ia 450 001 9910437861703321 005 20200520144314.0 010 $a1-4614-7172-9 024 7 $a10.1007/978-1-4614-7172-1 035 $a(OCoLC)848807320 035 $a(MiFhGG)GVRL6WTB 035 $a(CKB)2670000000370987 035 $a(MiAaPQ)EBC1317266 035 $a(EXLCZ)992670000000370987 100 $a20130506d2013 uy 0 101 0 $aeng 135 $aurun|---uuuua 181 $ctxt 182 $cc 183 $acr 200 00$aNumerical solution of partial differential equations $etheory, algorithms and their applications /$fOleg P. Iliev ... [et. al.], editors 205 $a1st ed. 2013. 210 $aNew York $cSpringer$d2013 215 $a1 online resource (xii, 327 pages) $cillustrations 225 0 $aSpringer proceedings in mathematics and statistics 300 $aIn honor off Professor Raytcho Lazarov's 40 years of research in computational methods and applied mathematics. 311 $a1-4899-9830-6 311 $a1-4614-7171-0 320 $aIncludes bibliographical references. 327 $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. 330 $aOne of the current main challenges in the area of scientific computing is the design and implementation of accurate numerical models for complex physical systems which are described by time-dependent coupled systems of nonlinear PDEs. This volume integrates the works of experts in computational mathematics and its applications, with a focus on modern algorithms which are at the heart of accurate modeling: adaptive finite element methods, conservative finite difference methods and finite volume methods, and multilevel solution techniques. Fundamental theoretical results are revisited in survey articles, and new techniques in numerical analysis are introduced. Applications showcasing the efficiency, reliability, and robustness of the algorithms in porous media, structural mechanics, and electromagnetism are presented. Researchers and graduate students in  numerical analysis and numerical solutions of PDEs and their scientific computing applications will find this book useful. . 410 0$aSpringer proceedings in mathematics & statistics ;$vv. 45. 606 $aDifferential equations, Partial$xNumerical solutions 606 $aDifferential equations 615 0$aDifferential equations, Partial$xNumerical solutions. 615 0$aDifferential equations. 676 $a515.353 701 $aZikatanov$b Ludmil T$01749916 701 $aIliev$b O. P$g(Oleg P.)$01749917 701 $aMargenov$b Svetozar D$01749918 701 $aMinev$b Peter D$01749919 701 $aVasilevski$b Panaiot$01628776 801 0$bMiAaPQ 801 1$bMiAaPQ 801 2$bMiAaPQ 906 $aBOOK 912 $a9910437861703321 996 $aNumerical solution of partial differential equations$94184380 997 $aUNINA