Автор: Xiaoying Han; Peter Kloeden Название: Attractors Under Discretisation ISBN: 3319619330 ISBN-13(EAN): 9783319619330 Издательство: Springer Рейтинг: Цена: 51230.00 T Наличие на складе: Есть у поставщика Поставка под заказ. Описание: Part I Dynamical systems and numerical schemes.- 1 Lyapunov stability and dynamical systems.- 2 One step numerical schemes.- Part II Steady states under discretization.- 3 Linear systems.- 4 Lyapunov functions.- 5 Dissipative systems with steady states.- 6 Saddle points under discretisation . Part III Autonomous attractors under discretization.- 7 Dissipative systems with attractors.- 8 Lyapunov functions for attractors.- 9 Discretisation of an attractor. Part IV Nonautonomous limit sets under discretization.- 10 Dissipative nonautonomous systems .- 11 Discretisation of nonautonomous limit sets.- 12 Variable step size.- 13 Discretisation of a uniform pullback attractor.- Notes.- References.
This book elaborates on an idea put forward by M. Abouzaid on equipping the Morse cochain complex of a smooth Morse function on a closed oriented manifold with the structure of an A?-algebra by means of perturbed gradient flow trajectories. This approach is a variation on K. Fukaya’s definition of Morse-A?-categories for closed oriented manifolds involving families of Morse functions. To make A?-structures in Morse theory accessible to a broader audience, this book provides a coherent and detailed treatment of Abouzaid’s approach, including a discussion of all relevant analytic notions and results, requiring only a basic grasp of Morse theory. In particular, no advanced algebra skills are required, and the perturbation theory for Morse trajectories is completely self-contained.
In addition to its relevance for finite-dimensional Morse homology, this book may be used as a preparation for the study of Fukaya categories in symplectic geometry. It will be of interest to researchers in mathematics (geometry and topology), and to graduate students in mathematics with a basic command of the Morse theory.
Автор: Jan A Snyman; Daniel N Wilke Название: Practical Mathematical Optimization ISBN: 3030084868 ISBN-13(EAN): 9783030084868 Издательство: Springer Рейтинг: Цена: 74530.00 T Наличие на складе: Есть у поставщика Поставка под заказ. Описание: This textbook presents a wide range of tools for a course in mathematical optimization for upper undergraduate and graduate students in mathematics, engineering, computer science, and other applied sciences. Basic optimization principles are presented with emphasis on gradient-based numerical optimization strategies and algorithms for solving both smooth and noisy discontinuous optimization problems. Attention is also paid to the difficulties of expense of function evaluations and the existence of multiple minima that often unnecessarily inhibit the use of gradient-based methods. This second edition addresses further advancements of gradient-only optimization strategies to handle discontinuities in objective functions. New chapters discuss the construction of surrogate models as well as new gradient-only solution strategies and numerical optimization using Python. A special Python module is electronically available (via springerlink) that makes the new algorithms featured in the text easily accessible and directly applicable. Numerical examples and exercises are included to encourage senior- to graduate-level students to plan, execute, and reflect on numerical investigations. By gaining a deep understanding of the conceptual material presented, students, scientists, and engineers will be able to develop systematic and scientific numerical investigative skills.
Автор: Stefan Frei, B?rbel Holm, Thomas Richter, Thomas W Название: Fluid-Structure Interaction: Modeling, Adaptive Discretisations and Solvers ISBN: 3110495279 ISBN-13(EAN): 9783110495270 Издательство: Walter de Gruyter Рейтинг: Цена: 148700.00 T Наличие на складе: Есть у поставщика Поставка под заказ. Описание: This monograph discusses modeling, adaptive discretisation techniques and the numerical solution of fluid structure interaction. An emphasis in part I lies on innovative discretisation and advanced interface resolution techniques. The second part covers the efficient and robust numerical solution of fluid-structure interaction. In part III, recent advances in the application fields vascular flows, binary-fluid-solid interaction, and coupling to fractures in the solid part are presented. Moreover each chapter provides a comprehensive overview in the respective topics including many references to concurring state-of-the art work. ContentsPart I: Modeling and discretizationOn the implementation and benchmarking of an extended ALE method for FSI problemsThe locally adapted parametric finite element method for interface problems on triangular meshesAn accurate Eulerian approach for fluid-structure interactions Part II: SolversNumerical methods for unsteady thermal fluid structure interactionRecent development of robust monolithic fluid-structure interaction solversA monolithic FSI solver applied to the FSI 1,2,3 benchmarks Part III: ApplicationsFluid-structure interaction for vascular flows: From supercomputers to laptopsBinary-fluid–solid interaction based on the Navier–Stokes–Cahn–Hilliard EquationsCoupling fluid-structure interaction with phase-field fracture: Algorithmic details
Автор: Snyman, Jan A, Wilke, Daniel N Название: Practical Mathematical Optimization ISBN: 3319775855 ISBN-13(EAN): 9783319775852 Издательство: Springer Рейтинг: Цена: 74530.00 T Наличие на складе: Поставка под заказ. Описание: This book presents basic optimization principles and gradient-based algorithms to a general audience, in a brief and easy-to-read form. It enables professionals to apply optimization theory to engineering, physics, chemistry, or business economics.
Автор: Manousos Maridakis, Paul M Feehan Название: Lojasiewicz-Simon Gradient Inequalities for Coupled Yang-Mills Energy Functionals ISBN: 1470443023 ISBN-13(EAN): 9781470443023 Издательство: Mare Nostrum (Eurospan) Рейтинг: Цена: 71060.00 T Наличие на складе: Нет в наличии. Описание: The authors` primary goal in this monograph is to prove Lojasiewicz-Simon gradient inequalities for coupled Yang-Mills energy functions using Sobolev spaces that impose minimal regularity requirements on pairs of connections and sections.
Автор: Bertram Albrecht, Forest Samuel Название: Mechanics of Strain Gradient Materials ISBN: 3030438295 ISBN-13(EAN): 9783030438296 Издательство: Springer Рейтинг: Цена: 149060.00 T Наличие на складе: Есть у поставщика Поставка под заказ. Описание: Over the past 50 years, strain gradient material theories have been developed for the continuum modeling of size effects in materials and structures in terms of their elasticity, plasticity and fracturing.
Автор: Hanke, Martin Название: Conjugate Gradient Type Methods for Ill-Posed Problems ISBN: 0582273706 ISBN-13(EAN): 9780582273702 Издательство: Taylor&Francis Рейтинг: Цена: 183750.00 T Наличие на складе: Нет в наличии.
Автор: Casado-Diaz, Juan Название: Optimal Design of Multi-Phase Materials ISBN: 3030981908 ISBN-13(EAN): 9783030981907 Издательство: Springer Рейтинг: Цена: 46570.00 T Наличие на складе: Есть у поставщика Поставка под заказ. Описание: This volume distinguishes itself from existing research on materials design, development, and evaluation, and focuses on material mediation in actual processes of teaching and learning, a subject that has been under-researched in the field of applied linguistics and second language education.
Автор: Radoslaw Pytlak Название: Conjugate Gradient Algorithms in Nonconvex Optimization ISBN: 3642099254 ISBN-13(EAN): 9783642099250 Издательство: Springer Рейтинг: Цена: 181670.00 T Наличие на складе: Есть у поставщика Поставка под заказ. Описание: This book details algorithms for large-scale unconstrained and bound constrained optimization. It shows optimization techniques from a conjugate gradient algorithm perspective as well as methods of shortest residuals, which have been developed by the author.
Автор: Owe Axelsson; Lily Yu. Kolotilina Название: Preconditioned Conjugate Gradient Methods ISBN: 3540535152 ISBN-13(EAN): 9783540535157 Издательство: Springer Рейтинг: Цена: 23280.00 T Наличие на складе: Есть у поставщика Поставка под заказ. Описание: The proceedings of a conference which aimed to bring together specialists working on iterative solution methods, in particular preconditioning methods. Topics presented at the conference contained both original analysis and implementational aspects of preconditioned conjugate gradient methods.
Автор: Bertram Albrecht, Forest Samuel Название: Mechanics of Strain Gradient Materials ISBN: 3030438325 ISBN-13(EAN): 9783030438326 Издательство: Springer Цена: 149060.00 T Наличие на складе: Есть у поставщика Поставка под заказ. Описание: Over the past 50 years, strain gradient material theories have been developed for the continuum modeling of size effects in materials and structures in terms of their elasticity, plasticity and fracturing.
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