Two Algebraic Byways from Differential Equations: Grцbner Bases and Quivers, Iohara Kenji, Malbos Philippe, Saito Masa-Hiko

Автор: Hairer Ernst, Wanner Gerhard
Название: Solving Ordinary Differential Equations II / Stiff and Differential-Algebraic Problems
ISBN: 3540604529 ISBN-13(EAN): 9783540604525
Издательство: Springer
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Цена: 149060.00 T
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Описание: The subject of this book is the solution of stiff differential equations and of differential-algebraic systems (differential equations with constraints). The book is divided into four chapters. The beginning of each chapter is of introductory nature, followed by practical applications, the discussion of numerical results, theoretical investigations on the order and accuracy, linear and nonlinear stability, convergence and asymptotic expansions. Stiff and differential-algebraic problems arise everywhere in scientific computations (e.g., in physics, chemistry, biology, control engineering, electrical network analysis, mechanical systems). Many applications as well as computer programs are presented.

Автор: Peter Benner; Matthias Bollh?fer; Daniel Kressner;
Название: Numerical Algebra, Matrix Theory, Differential-Algebraic Equations and Control Theory
ISBN: 3319152599 ISBN-13(EAN): 9783319152592
Издательство: Springer
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Цена: 102480.00 T
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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.

Название: Surveys in differential-algebraic equations iv
ISBN: 3319466178 ISBN-13(EAN): 9783319466170
Издательство: Springer
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Цена: 93160.00 T
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Описание: The present volume comprises survey articles on various fields of Differential-Algebraic Equations (DAEs) which have widespread applications in controlled dynamical systems, especially in mechanical and electrical engineering and a strong relation to (ordinary) differential equations. The individual chapters provide reviews, presentations of the current state of research and new concepts in
- History of DAEs
- DAE aspects of mechanical multibody systems
- Model reduction of DAEs
- Observability for DAEs
- Numerical Analysis for DAEs
The results are presented in an accessible style, making this book suitable not only for active researchers but also for graduate students (with a good knowledge of the basic principles of DAEs) for self-study.

Автор: Fajardo William, Gallego Claudia, Lezama Oswaldo
Название: Skew Pbw Extensions: Ring and Module-Theoretic Properties, Matrix and Grцbner Methods, and Applications
ISBN: 3030533778 ISBN-13(EAN): 9783030533779
Издательство: Springer
Цена: 121110.00 T
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Описание: Preface.- I Ring and Module-Theoretic Properties of Skew PBW Extensions.- II Projective Modules Over Skew PBW Extensions.- III Matrix and Grцbner Methods for Skew PBW Extensions.- IV Applications: The Noncommutative AlgebraicGeometry of Skew PBW Extensions.- References.

Автор: Aslak Bakke Buan; Idun Reiten; ?yvind Solberg
Название: Algebras, Quivers and Representations
ISBN: 364243018X ISBN-13(EAN): 9783642430183
Издательство: Springer
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Цена: 88500.00 T
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Описание: This book features survey and research papers from The Abel Symposium 2011. It illustrates and extends such connections with algebraic geometry, cluster algebra theory, commutative algebra, dynamical systems and triangulated categories.

Автор: Aslak Bakke Buan; Idun Reiten; ?yvind Solberg
Название: Algebras, Quivers and Representations
ISBN: 3642394841 ISBN-13(EAN): 9783642394843
Издательство: Springer
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Цена: 93160.00 T
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Описание: This book features survey and research papers from The Abel Symposium 2011. It illustrates and extends such connections with algebraic geometry, cluster algebra theory, commutative algebra, dynamical systems and triangulated categories.

Автор: Oliver Lorscheid, Thorsten Weist
Название: Quiver Grassmannians of Extended Dynkin Type $D$: Part I: Schubert Systems and Decompositions into Affine Spaces
ISBN: 1470436477 ISBN-13(EAN): 9781470436476
Издательство: Mare Nostrum (Eurospan)
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Цена: 83160.00 T
Наличие на складе: Нет в наличии.
Описание: The authors characterize the affine spaces in terms of the combinatorics of a fixed coefficient quiver for $M$. The method of proof is to exhibit explicit equations for the Schubert cells of $\mathrm{Gr}_{\underline{e}}(M)$ and to solve this system of equations successively in linear terms.

Автор: Harm Derksen, Jerzy Weyman
Название: An Introduction to Quiver Representations
ISBN: 1470425564 ISBN-13(EAN): 9781470425562
Издательство: Mare Nostrum (Eurospan)
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Цена: 112860.00 T
Наличие на складе: Невозможна поставка.
Описание: This book is an introduction to the representation theory of quivers and finite dimensional algebras. It gives a thorough and modern treatment of the algebraic approach based on Auslander-Reiten theory as well as the approach based on geometric invariant theory. The material in the opening chapters is developed starting slowly with topics such as homological algebra, Morita equivalence, and Gabriel's theorem. Next, the book presents Auslander-Reiten theory, including almost split sequences and the Auslander-Reiten transform, and gives a proof of Kac's generalization of Gabriel's theorem. Once this basic material is established, the book goes on with developing the geometric invariant theory of quiver representations. The book features the exposition of the saturation theorem for semi-invariants of quiver representations and its application to Littlewood-Richardson coefficients. In the final chapters, the book exposes tilting modules, exceptional sequences and a connection to cluster categories.The book is suitable for a graduate course in quiver representations and has numerous exercises and examples throughout the text. The book will also be of use to experts in such areas as representation theory, invariant theory and algebraic geometry, who want learn about application of quiver representations to their fields.

Автор: Yuji Kodama
Название: Solitons in Two-Dimensional Shallow Water
ISBN: 1611975514 ISBN-13(EAN): 9781611975512
Издательство: Mare Nostrum (Eurospan)
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Цена: 71150.00 T
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Описание: Uses modern mathematical tools - algebraic geometry, algebraic combinatorics, and representation theory, among others - to analyse two-dimensional wave patterns. The author`s goal is to explain some details of the classification problem of the soliton solutions of the KP equation (or KP solitons) and their applications to shallow water waves.

Автор: Filipuk Galina, Haraoka Yoshishige, Michalik Slawomir
Название: Analytic, Algebraic and Geometric Aspects of Differential Equations: Będlewo, Poland, September 2015
ISBN: 3319849999 ISBN-13(EAN): 9783319849997
Издательство: Springer
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Цена: 149060.00 T
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Описание: Preface.- An introduction to Dunkl theory and its analytic aspects.- Holonomic Systems.- Sub-Riemannian geometry and hypoelliptic operators.- Asymptotic analysis and summability of formal power series.- WKB analysis and Stokes geometry of differential equations.- Transcendental Meromorphic Solutions of P34and Small Targets.- Towards the convergence of generalized power series solutions of algebraic ODEs.- Connection problem for regular holonomic systems in several variables.- On k-summability of formal solutions for certain higher order partial differential operators with polynomial coefficients.- On Stokes phenomena for the alternate discrete PI equation.- Flat structures and algebraic solutions toPainlevй VI equation.- Relation of Semi-classical orthogonal polynomials to General Schlesinger systems via Twistor theory.- Some notes on the multi-level Gevrey solutions of singularly perturbed linear partial differential equations.- Reducibility of hypergeometric equations.- Parametric Borel summability of partial differential equations of irregular singular type.

Автор: Ron Donagi, Tony Shaska
Название: Integrable Systems and Algebraic Geometry: Volume 2
ISBN: 110871577X ISBN-13(EAN): 9781108715775
Издательство: Cambridge Academ
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Цена: 102430.00 T
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Описание: Created as a celebration of mathematical pioneer Emma Previato, this comprehensive second volume highlights the connections between her main fields of research, namely algebraic geometry and integrable systems. Written by leaders in the field, the text is accessible to graduate students and non-experts, as well as researchers.

Автор: Andrei Agrachev, Davide Barilari, Ugo Boscain
Название: A Comprehensive Introduction to Sub-Riemannian Geometry
ISBN: 110847635X ISBN-13(EAN): 9781108476355
Издательство: Cambridge Academ
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Цена: 185850.00 T
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Описание: This comprehensive introduction to sub-Riemannian geometry proceeds from classical topics to cutting-edge theory and applications. The only prerequisites are calculus, linear algebra and differential equations. It can be used for graduate courses in Riemannian or sub-Riemannian geometry, or as a reference for researchers in several disciplines.