Matrix-Based Multigrid Theory and Applications /

• Συγγραφή απο Οργανισμό/Αρχή: SpringerLink (Online service)
• Άλλοι συγγραφείς: Shapira, Yair (Επιμελητής έκδοσης)
• Μορφή: Ηλεκτρονική πηγή Ηλ. βιβλίο
• Γλώσσα: English
• Έκδοση: Boston, MA : Springer US, 2008.
• Έκδοση: 2.
• Σειρά: Numerical Methods and Algorithms, 2
• Θέματα: Mathematics.; Numerical analysis.; Matrix theory.; Algebra.; Mathematical analysis.; Analysis (Mathematics).; Computer mathematics.; Computational intelligence.; Numerical Analysis.; Analysis.; Computational Mathematics and Numerical Analysis.; Numeric Computing.; Linear and Multilinear Algebras, Matrix Theory.; Computational Intelligence.

Multigrid methods are often used for solving partial differential equations. This book introduces and analyzes the multigrid approach. The approach used here applies to both test problems on rectangular grids and to more realistic applications with complicated grids and domains. Key Features of this...

Πίνακας περιεχομένων:

• Concepts and Preliminaries
• The Multilevel-Multiscale Approach
• Preliminaries
• Partial Differential Equations and Their Discretization
• Finite Differences and Volumes
• Finite Elements
• The Numerical Solution of Large Sparse Linear Systems of Algebraic Equations
• Iterative Linear System Solvers
• The Multigrid Iteration
• Matrix-Based Multigrid for Structured Grids
• The Automatic Multigrid Method
• Applications in Image Processing
• The Black-Box Multigrid Method
• The Indefinite Helmholtz Equation
• Matrix-Based Semicoarsening Method
• Matrix-Based Multigrid for Semistructured Grids
• Matrix-Based Multigrid for Locally Refined Meshes
• Application to Semistructured Grids
• Matrix-Based Multigrid for Unstructured Grids
• The Domain-Decomposition Multigrid Method
• The Algebraic Multilevel Method
• Applications
• Semialgebraic Multilevel Method for Systems of Partial Differential Equations
• Appendices
• Time-Dependent Parabolic PDEs
• Nonlinear Equations.