Theory and Practice of Finite Elements, Alexandre Ern; Jean-Luc Guermond

Автор: Trevor Hastie; Robert Tibshirani; Jerome Friedman
Название: The Elements of Statistical Learning
ISBN: 0387848576 ISBN-13(EAN): 9780387848570
Издательство: Springer
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Цена: 69870.00 T
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Описание: This major new edition features many topics not covered in the original, including graphical models, random forests, and ensemble methods. As before, it covers the conceptual framework for statistical data in our rapidly expanding computerized world.

Автор: Kuznetsov Yuri A.
Название: Elements of Applied Bifurcation Theory
ISBN: 0387219064 ISBN-13(EAN): 9780387219066
Издательство: Springer
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Цена: 121110.00 T
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Описание: Explains the basic phenomena of bifurcation theory. This book provides a student or researcher with the basis in nonlinear dynamical systems and their bifurcations, giving them the necessary understanding of the approaches, methods, results and terminology used in the modern applied mathematics literature.

Автор: Ern Alexandre, Guermond Jean-Luc
Название: Theory and Practice of Finite Elements
ISBN: 0387205748 ISBN-13(EAN): 9780387205748
Издательство: Springer
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Цена: 93160.00 T
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Описание: This book presents the mathematical theory of finite elements, starting from basic results on approximation theory and finite element interpolation and building up to more recent research topics, such as subgrid viscosity methods and Discontinuous Galerkin methods. The main body of the text is organized into three main sections. The first part develops the theoretical basis for the finite element method, emphasizing inf-sup conditions over the more conventional Lax-Milgrim paradigm, while the second and third parts address various applications and practical implementaions of the method, respectively.Written at the graduate level, the text contains numerous examples and exercises and will be beneficial to students and researchers alike. Depending on one's interests, several reading paths can be followed, emphasizing either convergence results, numerical algorithms, code efficiency, or applications in the engineering sciences.

Автор: Loustau John
Название: Numerical Differential Equations: Theory And Technique, Ode Methods, Finite Differences, Finite Elements And Collocation
ISBN: 9814719498 ISBN-13(EAN): 9789814719490
Издательство: World Scientific Publishing
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Цена: 126720.00 T
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Описание: The book presents numerical differential equations to graduate (doctoral) students. It includes the three standard approaches to numerical PDE, FDM, FEM and CM, and the two most common time stepping techniques, FDM and Runge-Kutta. We present both the numerical technique and the supporting mathematical theory.

Автор: Li, Ben Q.
Название: Discontinuous Finite Elements in Fluid Dynamics and Heat Transfer
ISBN: 1852339888 ISBN-13(EAN): 9781852339883
Издательство: Springer
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Цена: 104480.00 T
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Описание: Offers an introduction to the discontinuous finite element method. This book provides a review of the fundamental laws and equations governing thermal and fluid systems. It also explains mesh generation and adaptivity, parellelization algorithms and error analysis.

Автор: Trefethen
Название: Approximation Theory and Approximation Practice
ISBN: 1611972396 ISBN-13(EAN): 9781611972399
Издательство: Mare Nostrum (Eurospan)
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Цена: 55440.00 T
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Описание: In a book that will appeal to beginners and experts alike, Oxford University’s Nick Trefethen presents approximation theory using a fresh approach for this established field.Approximation Theory and Approximation Practice is a textbook on classical polynomial and rational approximation theory for the twenty-first century. It uses MATLAB? to teach the field’s most important ideas and results and differs fundamentally from other works on approximation theory in a number of ways: its emphasis is on topics close to numerical algorithms; concepts are illustrated with Chebfun; and each chapter is a PUBLISHable Matlab M-file, available online.In addition, the book centers on theorems and methods for analytic functions, which appear so often in applications, rather than on functions at the edge of discontinuity with their seductive theoretical challenges. Original sources are cited rather than textbooks, and each item in the bibliography is accompanied by an editorial comment.Each chapter has a collection of exercises, which span a wide range from mathematical theory to Chebfun-based numerical experimentation.