| Description |
1 online resource (xii, 327 pages) : illustrations |
| Series |
Springer proceedings in mathematics & statistics, 2194-1009 ; v. 45 |
|
Springer proceedings in mathematics & statistics ; v. 45.
|
| Contents |
Improving Conservation for First-Order System Least-Squares Finite-Element Methods / J.H. Adler, P.S. Vassilevski -- Multiscale Coarsening for Linear Elasticity by Energy Minimization / Marco Buck, Oleg Iliev, Heiko Andrä -- 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, Joseph E. Pasciak -- Parallel Unsmoothed Aggregation Algebraic Multigrid Algorithms on GPUs / James Brannick, Yao Chen, Xiaozhe Hu -- Aspects of Guaranteed Error Control in CPDEs / C. Carstensen, C. Merdon, J. Neumann -- A Finite Volume Element Method for a Nonlinear Parabolic Problem / P. Chatzipantelidis, V. 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 -- Efficient Parallel Algorithms for Unsteady Incompressible Flows / Jean-Luc Guermond, Peter D. 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 / J. Kraus, M. Lymbery, S. 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 Schwarz Methods / J. Willems |
| Summary |
One 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 |
| Analysis |
Mathematics |
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Functional equations |
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Differential equations, partial |
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Numerical analysis |
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Partial Differential Equations |
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Difference and Functional Equations |
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Computational Mathematics and Numerical Analysis |
|
wiskunde |
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numerieke methoden |
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numerical methods |
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computerwiskunde |
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computational mathematics |
|
numerieke wiskunde |
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numerical mathematics |
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differentiaalvergelijkingen |
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differential equations |
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Mathematics (General) |
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Wiskunde (algemeen) |
| Bibliography |
Includes bibliographical references |
| Notes |
Print version record |
| Subject |
Lazarov, Raĭcho
|
|
Differential equations, Partial -- Numerical solutions.
|
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MATHEMATICS -- Numerical Analysis.
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Ecuaciones en derivadas parciales -- Soluciones numéricas
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Differential equations, Partial -- Numerical solutions
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| Genre/Form |
Festschriften
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Festschriften.
|
| Form |
Electronic book
|
| Author |
Iliev, O. P. (Oleg P.)
|
| ISBN |
9781461471721 |
|
1461471729 |
|
1461471710 |
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9781461471714 |
|
