A book linking matrix computation with analytic techniques to explore the links between different stages of solving an applied problem.
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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 of nonlinear PDEs stemming from non-Newtonian fluid mechanics, and he has contributed to the constitutive theory in the fluid and solid mechanics and in the theory of mixtures. His research approach emphasizes the need for interactions between modeling, analysis, scientific computing, and experiments.
Zdenek Strakos is a Professor at the Faculty of Mathematics and Physics, Charles University in Prague, Czech Republic. He has been an active member of several professional committees and journal editorial boards. He served on the ERC Advanced Grants Evaluation Panel for Computer Science and Informatics and was named its Chair in 2014. He was awarded the SIAM Activity Group on Linear Algebra Prize (1994), the Annual Prize of the Academy of Sciences of the Czech Republic (2007), and the Bernard Bolzano Medal of the Academy of Sciences of the Czech Republic for Merits in Mathematical Sciences (2013). In 2014 he was selected as a SIAM Fellow for advances in numerical linear algebra, especially iterative methods. He is interested in looking for interconnections between problems and disciplines, and in viewing particular questions in a wide context.
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Paperback. Zustand: New. This first title in SIAM's Spotlights book series is about the interplay between modeling, analysis, discretization, matrix computation, and model reduction. The authors link PDE analysis, functional analysis, and calculus of variations with matrix iterative computation using Krylov subspace methods and address the challenges that arise during formulation of the mathematical model through to efficient numerical solution of the algebraic problem.The book's central concept, preconditioning of the conjugate gradient method, is traditionally developed algebraically using the preconditioned finite-dimensional algebraic system. In this text, however, preconditioning is connected to the PDE analysis, and the infinite-dimensional formulation of the conjugate gradient method and its discretization and preconditioning are linked together.This text challenges commonly held views, addresses widespread misunderstandings, and formulates thought-provoking open questions for further research. Bestandsnummer des Verkäufers LU-9781611973839
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Paperback. Zustand: new. Paperback. 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 for mathematicians, engineers, physicists, chemists, and any other researchers interested in the issues discussed. Aiming to improve understanding between researchers working on different solution stages, the book challenges commonly held views, addresses widespread misunderstandings, and formulates thought-provoking open questions for further research. Linking together Krylov subspace methods and preconditioning with analysis of PDEs and functional analysis, this book concerns the interplay between the stages leading from an applied problem to its numerical solution, and the challenges that arise. It is intended for mathematicians, engineers and scientists. Shipping may be from multiple locations in the US or from the UK, depending on stock availability. Bestandsnummer des Verkäufers 9781611973839
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Zustand: New. 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. . 2014. Paperback. . . . . Bestandsnummer des Verkäufers V9781611973839
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Paperback. Zustand: Brand New. 114 pages. 9.80x6.70x0.30 inches. In Stock. Bestandsnummer des Verkäufers __161197383X
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Zustand: New. pp. 114. Bestandsnummer des Verkäufers 26374877912
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Zustand: New. pp. 114. Bestandsnummer des Verkäufers 372216071
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Zustand: New. 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. . 2014. Paperback. . . . . Books ship from the US and Ireland. Bestandsnummer des Verkäufers V9781611973839
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