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Preconditioning and the Conjugate Gradient Method in the Context of Solving PDEs
Zdenek Strakos Josef Málek
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Description for Preconditioning and the Conjugate Gradient Method in the Context of Solving PDEs
Paperback. A book linking matrix computation with analytic techniques to explore the links between different stages of solving an applied problem. Num Pages: 114 pages. BIC Classification: PBK. Category: (U) Tertiary Education (US: College). Dimension: 181 x 254 x 13. Weight in Grams: 220.
The route from an applied problem to its numerical solution involves modeling, analysis, discretization, and the solution of the discretized problem. This book concerns the interplay of these stages and the challenges that arise. The authors link analysis of PDEs, functional analysis, and calculus of variations with iterative matrix computation using Krylov subspace methods. While preconditioning of the conjugate gradient method is traditionally developed algebraically using the preconditioned finite-dimensional algebraic system, the authors develop connections between preconditioning and PDEs. Additionally, links between the infinite-dimensional formulation of the conjugate gradient method, its discretization and preconditioning are explored. The book is intended ... Read more
The route from an applied problem to its numerical solution involves modeling, analysis, discretization, and the solution of the discretized problem. This book concerns the interplay of these stages and the challenges that arise. The authors link analysis of PDEs, functional analysis, and calculus of variations with iterative matrix computation using Krylov subspace methods. While preconditioning of the conjugate gradient method is traditionally developed algebraically using the preconditioned finite-dimensional algebraic system, the authors develop connections between preconditioning and PDEs. Additionally, links between the infinite-dimensional formulation of the conjugate gradient method, its discretization and preconditioning are explored. The book is intended ... Read more
Product Details
Format
Paperback
Publication date
2014
Publisher
SIAM-Society for Industrial and Applied Mathematics
Condition
New
Number of Pages
114
Place of Publication
New York, United States
ISBN
9781611973839
SKU
V9781611973839
Shipping Time
Usually ships in 7 to 11 working days
Ref
99-50
About Zdenek Strakos Josef Málek
Josef Málek is a Professor at the Faculty of Mathematics and Physics, Charles University in Prague, Czech Republic. He is a director of the Nečas Center for Mathematical Modeling and head of the Department of Mathematical Modeling, comprising researchers with diverse backgrounds focused upon the graduate study program 'Mathematical modeling in science and technology'. His research primarily concerns mathematical analysis ... Read more
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