Numerical Algebra, Matrix Theory, Differential-Algebraic Equations and Control Theory, Peter Benner; Matthias Bollh?fer; Daniel Kressner;
Автор: Oleg Imanuvilov, Guenter Leugering, Roberto Triggi Название: Control Theory of Partial Differential Equations ISBN: 0824725468 ISBN-13(EAN): 9780824725464 Издательство: Taylor&Francis Рейтинг: Цена: 27868.00 р. 39811.00-30% Наличие на складе: Есть (1 шт.) Описание: The field of control theory in PDEs has broadened as more realistic models have been introduced and investigated. This book presents a range of developments, discoveries, and mathematical tools in the field. It discusses topics such as elasticity, thermo-elasticity, aero-elasticity and interactions between fluids and elastic structures.
Автор: Guo, Shangjiang, Wu, Jianhong Название: Bifurcation Theory of Functional Differential Equations ISBN: 1461469910 ISBN-13(EAN): 9781461469919 Издательство: Springer Рейтинг: Цена: 15372.00 р. Наличие на складе: Есть у поставщика Поставка под заказ.
Описание: This book summarizes effective and general approaches and frameworks in the investigation of bifurcation phenomena for functional differential equations (FDEs). It provides all the tools from bifurcation theory and contains examples and applications.
Автор: Van der Put Marius , Singer Michael F. Название: Galois Theory of Linear Differential Equations ISBN: 3540442286 ISBN-13(EAN): 9783540442288 Издательство: Springer Рейтинг: Цена: 13969.00 р. Наличие на складе: Есть у поставщика Поставка под заказ.
Описание: Linear differential equations form the central topic of this volume, Galois theory being the unifying theme.A large number of aspects are presented: algebraic theory especially differential Galois theory, formal theory, classification, algorithms to decide solvability in finite terms, monodromy and Hilbert's 21st problem, asymptotics and summability, the inverse problem and linear differential equations in positive characteristic. The appendices aim to help the reader with concepts used, from algebraic geometry, linear algebraic groups, sheaves, and tannakian categories that are used. This volume will become a standard reference for all mathematicians in this area of mathematics, including graduate students.
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.
Описание: This book offers a modern introduction to Nevanlinna theory and its intricate relation to the theory of normal families, algebraic functions, asymptotic series, and algebraic differential equations.
Following a comprehensive treatment of Nevanlinna's theory of value distribution, the author presents advances made since Hayman's work on the value distribution of differential polynomials and illustrates how value- and pair-sharing problems are linked to algebraic curves and Briot-Bouquet differential equations. In addition to discussing classical applications of Nevanlinna theory, the book outlines state-of-the-art research, such as the effect of the Yosida and Zalcman-Pang method of re-scaling to algebraic differential equations, and presents the Painlev -Yosida theorem, which relates Painlev transcendents and solutions to selected 2D Hamiltonian systems to certain Yosida classes of meromorphic functions.
Aimed at graduate students interested in recent developments in the field and researchers working on related problems, Nevanlinna Theory, Normal Families, and Algebraic Differential Equations will also be of interest to complex analysts looking for an introduction to various topics in the subject area. With examples, exercises and proofs seamlessly intertwined with the body of the text, this book is particularly suitable for the more advanced reader.
Описание: This edited volume highlights the scientific contributions of Volker Mehrmann, a leading expert in the area of numerical (linear) algebra, matrix theory, differential-algebraic equations and control theory.
Описание: This book provides, in a unified framework, an updated andrather comprehensive treatment contered on the theory of ot-pimal control with quadratic cost functional for abstractlinear systems with application to boundary/point controlproblems for partial differential equations (distributed pa-rameter systems).
Описание: One of the current main challenges in the area of scientific computingГЇВїВЅ is the design and implementation of accurate numerical models for complex physical systems which are described by time dependent coupled systems of nonlinear PDEs.
Описание: One of the current main challenges in the area of scientific computing is the design and implementation of accurate numerical models for complex physical systems which are described by time-dependent coupled systems of nonlinear PDEs. This volume integrates the works of experts in computational mathematics and its applications, with a focus on modern algorithms which are at the heart of accurate modeling: adaptive finite element methods, conservative finite difference methods and finite volume methods, and multilevel solution techniques. Fundamental theoretical results are revisited in survey articles, and new techniques in numerical analysis are introduced. Applications showcasing the efficiency, reliability, and robustness of the algorithms in porous media, structural mechanics, and electromagnetism are presented. Researchers and graduate students in numerical analysis and numerical solutions of PDEs and their scientific computing applications will find this book useful.--
Автор: Philippe G. Ciarlet; Tatsien Li; Yvon Maday Название: Partial Differential Equations: Theory, Control and Approximation ISBN: 3662514346 ISBN-13(EAN): 9783662514344 Издательство: Springer Рейтинг: Цена: 15372.00 р. Наличие на складе: Есть у поставщика Поставка под заказ.
Описание: This book collects papers mainly presented at the "International Conference on Partial Differential Equations: Theory, Control and Approximation" (May 28 to June 1, 2012 in Shanghai) in honor of the scientific legacy of the exceptional mathematician Jacques-Louis Lions.
Описание: This volume contains the contributions of participants of the conference "Optimal Control of Partial Differential Equations" which, under the chairmanship of the editors, took place at the Mathematisches Forschungsinstitut Oberwolfach from May 18 to May 24, 1986.
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