Optimal Transport for Applied Mathematicians: Calculus of Variations, Pdes, and Modeling, Santambrogio Filippo

Автор: Barbu Viorel, Lefter Catalin & Vrabie Ioan I
Название: New Trends In Differential Equations, Control Theory And Optimization - Proceedings Of The 8Th Congress Of Romanian Mathematicians
ISBN: 9813142855 ISBN-13(EAN): 9789813142855
Издательство: World Scientific Publishing
Цена: 129890.00 T
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Описание: The volume contains a collection of original papers and surveys in various areas of Differential Equations, Control Theory and Optimization written by well-known specialists and is thus useful for PhD students and researchers in applied mathematics.

Автор: Martinsson, Per-gunnar
Название: Fast direct solvers for elliptic pdes
ISBN: 1611976030 ISBN-13(EAN): 9781611976038
Издательство: Mare Nostrum (Eurospan)
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Цена: 72730.00 T
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Описание: Fast solvers for elliptic PDEs form a pillar of scientific computing. They enable detailed and accurate simulations of electromagnetic fields, fluid flows, biochemical processes, and much more. This textbook provides an introduction to fast solvers from the point of view of integral equation formulations, which lead to unparalleled accuracy and speed in many applications. The focus is on fast algorithms for handling dense matrices that arise in the discretization of integral operators, such as the fast multipole method and fast direct solvers. While the emphasis is on techniques for dense matrices, the text also describes how similar techniques give rise to linear complexity algorithms for computing the inverse or the LU factorization of a sparse matrix resulting from the direct discretization of an elliptic PDE.This is the first textbook to detail the active field of fast direct solvers, introducing readers to modern linear algebraic techniques for accelerating computations, such as randomized algorithms, interpolative decompositions, and data-sparse hierarchical matrix representations. Written with an emphasis on mathematical intuition rather than theoretical details, it is richly illustrated and provides pseudocode for all key techniques.Fast Direct Solvers for Elliptic PDEs is appropriate for graduate students in applied mathematics and scientific computing, engineers and scientists looking for an accessible introduction to integral equation methods and fast solvers, and researchers in computational mathematics who want to quickly catch up on recent advances in randomized algorithms and techniques for working with data-sparse matrices.

Автор: Guido Schneider, Hannes Uecker
Название: Nonlinear PDEs: A Dynamical Systems Approach
ISBN: 1470436132 ISBN-13(EAN): 9781470436131
Издательство: Mare Nostrum (Eurospan)
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Цена: 112860.00 T
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Описание: This is an introductory textbook about nonlinear dynamics of PDEs, with a focus on problems over unbounded domains and modulation equations. The presentation is example-oriented, and new mathematical tools are developed step by step, giving insight into some important classes of nonlinear PDEs and nonlinear dynamics phenomena which may occur in PDEs.The book consists of four parts. Parts I and II are introductions to finite- and infinite-dimensional dynamics defined by ODEs and by PDEs over bounded domains, respectively, including the basics of bifurcation and attractor theory. Part III introduces PDEs on the real line, including the Korteweg-de Vries equation, the Nonlinear Schrodinger equation and the Ginzburg-Landau equation. These examples often occur as simplest possible models, namely as amplitude or modulation equations, for some real world phenomena such as nonlinear waves and pattern formation. Part IV explores in more detail the connections between such complicated physical systems and the reduced models. For many models, a mathematically rigorous justification by approximation results is given.The parts of the book are kept as self-contained as possible. The book is suitable for self-study, and there are various possibilities to build one- or two-semester courses from the book.

Автор: Younes Salehi, William E. Schiesser
Название: Numerical Integration of Space Fractional Partial Differential Equations, Volume 2: Applications from Classical Integer PDEs
ISBN: 1681732092 ISBN-13(EAN): 9781681732091
Издательство: Mare Nostrum (Eurospan)
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Цена: 82230.00 T
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Описание: Partial differential equations are one of the most used widely forms of mathematics in science and engineering. Two fractional PDEs can be considered, fractional in time, and fractional in space. This volume is directed to the development and use of SFPDEs, providing a discussion of applications from classical integer PDEs.

Автор: Shouhei Honda
Название: Elliptic PDEs on Compact Ricci Limit Spaces and Applications
ISBN: 1470428547 ISBN-13(EAN): 9781470428549
Издательство: Mare Nostrum (Eurospan)
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Цена: 77610.00 T
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Описание: Examines elliptic PDEs on compact Gromov-Hausdorff limit spaces of Riemannian manifolds with lower Ricci curvature bounds. In particular the author establishes continuities of geometric quantities, which include solutions of Poisson`s equations, eigenvalues of Schrodinger operators, generalized Yamabe constants and eigenvalues of the Hodge Laplacian.

Автор: Karl K. Sabelfeld, Irina A. Shalimova
Название: Spherical and Plane Integral Operators for PDEs: Construction, Analysis, and Applications
ISBN: 3110315297 ISBN-13(EAN): 9783110315295
Издательство: Walter de Gruyter
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Цена: 185890.00 T
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Описание: The book presents integral formulations for partial differential equations, with the focus on spherical and plane integral operators. The integral relations are obtained for different elliptic and parabolic equations, and both direct and inverse mean value relations are studied. The derived integral equations are used to construct new numerical methods for solving relevant boundary value problems, both deterministic and stochastic based on probabilistic interpretation of the spherical and plane integral operators.

Автор: Lord
Название: An Introduction to Computational Stochastic PDEs
ISBN: 0521899907 ISBN-13(EAN): 9780521899901
Издательство: Cambridge Academ
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Цена: 121440.00 T
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Описание: This comprehensive introduction to stochastic partial differential equations incorporates the effects of randomness into real-world models, offering graduate students and researchers powerful tools for understanding uncertainty quantification for risk analysis. MATLAB (R) codes are included, so that readers can perform computations themselves and solve the test problems discussed.

Автор: Lord
Название: An Introduction to Computational Stochastic PDEs
ISBN: 0521728525 ISBN-13(EAN): 9780521728522
Издательство: Cambridge Academ
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Цена: 60190.00 T
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Описание: This comprehensive introduction to stochastic partial differential equations incorporates the effects of randomness into real-world models, offering graduate students and researchers powerful tools for understanding uncertainty quantification for risk analysis. MATLAB (R) codes are included, so that readers can perform computations themselves and solve the test problems discussed.

Автор: Younes Salehi, William E. Schiesser
Название: Numerical Integration of Space Fractional Partial Differential Equations, Volume 2: Applications from Classical Integer PDEs
ISBN: 1681732718 ISBN-13(EAN): 9781681732718
Издательство: Mare Nostrum (Eurospan)
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Цена: 108110.00 T
Наличие на складе: Невозможна поставка.
Описание: Partial differential equations are one of the most used widely forms of mathematics in science and engineering. Two fractional PDEs can be considered, fractional in time, and fractional in space. This volume is directed to the development and use of SFPDEs, providing an introduction to Algorithms and Computer Coding in R.

Автор: Colli Pierluigi, Favini Angelo, Rocca Elisabetta
Название: Solvability, Regularity, and Optimal Control of Boundary Value Problems for Pdes: In Honour of Prof. Gianni Gilardi
ISBN: 3319878042 ISBN-13(EAN): 9783319878041
Издательство: Springer
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Цена: 121110.00 T
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Описание: This volume gathers contributions in the field of partial differential equations, with a focus on mathematical models in phase transitions, complex fluids and thermomechanics.

Автор: Tony F. Chan; Yunqing Huang; Tao Tang; Jinchao Xu;
Название: Recent Progress in Computational and Applied PDES
ISBN: 146134929X ISBN-13(EAN): 9781461349297
Издательство: Springer
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Цена: 93160.00 T
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Автор: Pierluigi Colli; Angelo Favini; Elisabetta Rocca;
Название: Solvability, Regularity, and Optimal Control of Boundary Value Problems for PDEs
ISBN: 3319644882 ISBN-13(EAN): 9783319644882
Издательство: Springer
Рейтинг:
Цена: 121110.00 T
Наличие на складе: Есть у поставщика Поставка под заказ.
Описание: This volume gathers contributions in the field of partial differential equations, with a focus on mathematical models in phase transitions, complex fluids and thermomechanics.