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Format: 1 Online-Ressource

ISBN: 9781461471714 , 9781461471721

Series Statement: Springer proceedings in mathematics & statistics 45

Language: English

Subjects: Mathematics

Keywords: Partielle Differentialgleichung ; Numerisches Verfahren ; Festschrift

DOI: 10.1007/978-1-4614-7172-1

URL: Volltext

URL: Inhaltsverzeichnis

URL: Abstract

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Format: Online-Ressource (XII, 327 p. 49 illus, digital)

ISBN: 9781461471721

Series Statement: Springer Proceedings in Mathematics & Statistics 45

Content: Improving 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.

Content: 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. .

Note: Description based upon print version of record , Preface; Contents; Improving Conservation for First-Order System Least-Squares Finite-Element Methods; 1 Introduction; 2 First-Order System Least-Squares; 2.1 Sample Problem and Loss of Conservation; 3 Constrained FOSLS; 3.1 ``Galerkin Constraint''; 3.2 ``Least-Squares Constraint''; 3.3 Solvers; 3.3.1 Construction of B; 3.4 Numerical Results; 3.5 Discussion; 4 Locally Constrained FOSLS Correction; 4.1 Overlapping Schwarz Corrections; 4.2 Numerical Results; 5 Conclusions; References; Multiscale Coarsening for Linear Elasticity by Energy Minimization; 1 Introduction , 2 Governing Equations and Their Discretization2.1 The Equations of Linear Elasticity; 2.2 Weak Formulation; 2.3 Finite Element Discretization; 3 The Two-Level Method; 3.1 Two-Level Additive Schwarz; 3.2 Fine and Coarse Triangulation; 3.3 Abstract Multiscale Coarse Space; 4 Energy Minimization for the Elasticity System; 4.1 The Energy-Minimizing Coarse Space; 4.2 Properties of the Energy-Minimizing Coarse Space; 4.3 The Interpolation Operator; 5 Numerical Experiments; 5.1 Coarse Space Robustness; 5.2 Coarse Space Approximation; 6 Discussion; References , Preconditioners for Some Matrices of Two-by-Two Block Form, with Applications, I1 Introduction; 2 The Preconditioner and Its Implementation; 3 Condition Number Bounds; 3.1 A Is Symmetric and Positive Semidefinite; 3.2 A Is Symmetric and Positive Definite; 4 Distributed Optimal Control of Elliptic and Oseen Equations; 4.1 An Elliptic State Equation; 4.2 Distributed Optimal Control of the Oseen Problem; References; A Multigrid Algorithm for an Elliptic Problem with a Perturbed Boundary Condition; 1 Introduction; 2 Preliminaries; 3 The Multigrid Algorithm; 4 Multigrid Analysis , 5 Numerical ResultsReferences; Parallel Unsmoothed Aggregation Algebraic Multigrid Algorithms on GPUs; 1 Introduction; 2 Unsmoothed Aggregation AMG; 3 The Setup Phase; 3.1 A Maximal Independent Set Algorithm; 3.2 Parallel Graph Aggregation Algorithm; 3.3 Aggregation Quality Improvements; 4 Solve Phase; 4.1 Parallel Smoother; 4.2 Prolongation and Restriction; 4.3 K-Cycle; 4.4 Sparse Matrix-Vector Multiplication on GPUs; 5 Numerical Tests; 5.1 Numerical Tests for PAA; 5.2 Numerical Tests for GPU Implementation; References; Aspects of Guaranteed Error Control in CPDEs; 1 Introduction , 2 Review of Guaranteed Energy Norm Error Control2.1 Notation; 2.2 Equilibration Error Estimators; 2.3 Poisson Model Problem with Big Oscillations; 3 Guaranteed Error Control for CR-NCFEM; 3.1 Main Result; 3.2 Guaranteed Upper Bounds for ||Res|||*; 3.3 Guaranteed Upper Bounds for ||||ResNC||||; 3.4 Numerical Experiment with Big Oscillations; 4 Guaranteed Error Control for Curved Boundaries; 5 Guaranteed Goal-Oriented Error Estimation; 5.1 Reduction to L2 Functionals; 5.2 Guaranteed Bounds for Goal Functionals; 5.3 Benchmark Example; References , A Finite Volume Element Method for a Nonlinear Parabolic Problem

Additional Edition: ISBN 9781461471714

Additional Edition: Erscheint auch als Druck-Ausgabe Numerical solution of partial differential equations:Theory, algorithms, and their applications New York : Springer, 2013 ISBN 9781461471714

Language: English

Subjects: Mathematics

Keywords: Partielle Differentialgleichung ; Numerisches Verfahren

DOI: 10.1007/978-1-4614-7172-1

URL: Volltext  (lizenzpflichtig)

URL: Volltext  (lizenzpflichtig)

URL: Cover

URL: Inhaltstext

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ISBN: 9783319405285

In: Software for Exascale Computing - SPPEXA 2013-2015, [Cham] : Springer, 2016, (2016), Seite 25-43, 9783319405285

In: year:2016

In: pages:25-43

Language: English

URL: Volltext

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ISBN: 9783319405285

In: Software for Exascale Computing - SPPEXA 2013-2015, [Cham] : Springer, 2016, (2016), Seite 3-23, 9783319405285

In: year:2016

In: pages:3-23

Language: English

URL: Volltext

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Format: 1 online resource (233 p.)

ISBN: 9783110293586 , 9783110238570

Series Statement: De Gruyter Proceedings in Mathematics

Content: This is the proceedings of the "8th IMACS Seminar on Monte Carlo Methods" held from August 29 to September 2, 2011 in Borovets, Bulgaria, and organized by the Institute of Information and Communication Technologies of the Bulgarian Academy of Sciences in cooperation with the International Association for Mathematics and Computers in Simulation (IMACS). Included are 24 papers which cover all topics presented in the sessions of the seminar: stochastic computation and complexity of high dimensional problems, sensitivity analysis, high-performance computations for Monte Carlo applications, stochastic metaheuristics for optimization problems, sequential Monte Carlo methods for large-scale problems, semiconductor devices and nanostructures. The history of the IMACS Seminar on Monte Carlo Methods goes back to April 1997 when the first MCM Seminar was organized in Brussels: 1st IMACS Seminar, 1997, Brussels, Belgium2nd IMACS Seminar, 1999, Varna, Bulgaria 3rd IMACS Seminar, 2001, Salzburg, Austria 4th IMACS Seminar, 2003, Berlin, Germany 5th IMACS Seminar, 2005, Tallahassee, USA6th IMACS Seminar, 2007, Reading, UK7th IMACS Seminar, 2009, Brussels, Belgium8th IMACS Seminar, 2011, Borovets, Bulgaria

Note: Frontmatter -- , Preface -- , Contents -- , Chapter 1. Improvement of Multi-population Genetic Algorithms Convergence Time -- , Chapter 2 Parallelization and Optimization of 4D Binary Mixture Monte Carlo Simulations Using Open MPI and CUDA -- , Chapter 3 Efficient Implementation of the Heston Model Using GPGPU -- , Chapter 4. On a Game-Method for Modeling with Intuitionistic Fuzzy Estimations. Part 2 -- , Chapter 5. Generalized Nets, ACO Algorithms, and Genetic Algorithms -- , Chapter 6. Bias Evaluation and Reduction for Sample-Path Optimization -- , Chapter 7. Monte Carlo Simulation of Electron Transport in Quantum Cascade Lasers -- , Chapter 8. Markov Chain Monte Carlo Particle Algorithms for Discrete-Time Nonlinear Filtering -- , Chapter 9. Game-Method for Modeling and WRF-Fire Model Working Together -- , Chapter 10. Wireless Sensor Network Layout -- , Chapter 11. A Two-Dimensional Lorentzian Distribution for an Atomic Force Microscopy Simulator -- , Chapter 12. Stratified Monte Carlo Integration -- , Chapter 13. Monte Carlo Simulation of Asymmetric Flow Field Flow Fractionation -- , Chapter 14. Convexization in Markov Chain Monte Carlo -- , Chapter 15. Value Simulation of the Interacting Pair Number for Solution of the Monodisperse Coagulation Equation -- , Chapter 16. Parallelization of Algorithms for Solving a Three-Dimensional Sudoku Puzzle -- , Chapter 17. The Efficiency Study of Splitting and Branching in the Monte Carlo Method -- , Chapter 18. On the Asymptotics of a Lower Bound for the Diaphony of Generalized van der Corput Sequences -- , Chapter 19. Group Object Tracking with a Sequential Monte Carlo Method Based on a Parameterized Likelihood Function -- , Chapter 20. The Template Design Problem: A Perspective with Metaheuristics -- , Chapter 21. A Comparison of Simulated Annealing and Genetic Algorithm Approaches for Cultivation Model Identification -- , Chapter 22. Monte Carlo Investigations of Electron Decoherence due to Phonons -- , Chapter 23. Geometric Allocation Approach for the Transition Kernel of a Markov Chain -- , Chapter 24. Exact Sampling for the Ising Model at All Temperatures , Mode of access: Internet via World Wide Web. , In English.

In: DGBA Backlist Complete English Language 2000-2014 PART1, De Gruyter, 9783110238570

In: DGBA Backlist Mathematics 2000-2014 (EN), De Gruyter, 9783110238471

In: DGBA Mathematics - 2000 - 2014, De Gruyter, 9783110637205

In: E-BOOK GESAMTPAKET / COMPLETE PACKAGE 2012, De Gruyter, 9783110288995

In: E-BOOK PACKAGE MATHEMATICS, PHYSICS, ENGINEERING 2012, De Gruyter, 9783110293722

In: E-BOOK PAKET MATHEMATIK, PHYSIK, INGENIEURWISS. 2012, De Gruyter, 9783110288926

Additional Edition: ISBN 9783110293470

Language: English

DOI: 10.1515/9783110293586

URL: https://doi.org/10.1515/9783110293586

URL: https://www.degruyter.com/isbn/9783110293586

URL: Cover