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The Gradient Discretisation Method, Droniou


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Цена: 8384.00р.
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При оформлении заказа до: 2025-07-28
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Автор: Droniou
Название:  The Gradient Discretisation Method
ISBN: 9783319790411
Издательство: Springer
Классификация:



ISBN-10: 3319790412
Обложка/Формат: Paperback
Страницы: 498
Вес: 0.73 кг.
Дата издания: 2018
Серия: Math?matiques et Applications
Язык: English
Издание: 1st ed. 2018
Иллюстрации: 14 illustrations, color; 19 illustrations, black and white; xxiv, 498 p. 33 illus., 14 illus. in color.
Размер: 234 x 156 x 27
Читательская аудитория: General (us: trade)
Основная тема: Computational Mathematics and Numerical Analysis
Ссылка на Издательство: Link
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Поставляется из: Германии
Описание: This monograph presents the Gradient Discretisation Method (GDM), which is a unified convergence analysis framework for numerical methods for elliptic and parabolic partial differential equations. The results obtained by the GDM cover both stationary and transient models; error estimates are provided for linear (and some non-linear) equations, and convergence is established for a wide range of fully non-linear models (e.g. Leray–Lions equations and degenerate parabolic equations such as the Stefan or Richards models). The GDM applies to a diverse range of methods, both classical (conforming, non-conforming, mixed finite elements, discontinuous Galerkin) and modern (mimetic finite differences, hybrid and mixed finite volume, MPFA-O finite volume), some of which can be built on very general meshes.
Дополнительное описание:
Part I Elliptic problems.- Part II Parabolic problems.- Part III Examples of gradient discretisation methods.- Part IV Appendix.




Sobolev Gradients and Differential Equations

Автор: john neuberger
Название: Sobolev Gradients and Differential Equations
ISBN: 3642040403 ISBN-13(EAN): 9783642040405
Издательство: Springer
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Цена: 6282.00 р.
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Описание: A Sobolev gradient of a real-valued functional on a Hilbert space is a gradient of that functional taken relative to an underlying Sobolev norm. This book shows how descent methods using such gradients allow treatment of problems in differential equations.

Fluid-Structure Interaction: Modeling, Adaptive Discretisations and Solvers

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
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Цена: 22305.00 р.
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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

Lojasiewicz-Simon Gradient Inequalities for Coupled Yang-Mills Energy Functionals

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)
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Цена: 10659.00 р.
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: Hanke, Martin
Название: Conjugate Gradient Type Methods for Ill-Posed Problems
ISBN: 0582273706 ISBN-13(EAN): 9780582273702
Издательство: Taylor&Francis
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Цена: 27562.00 р.
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Perturbed Gradient Flow Trees and A?-algebra Structures in Morse Cohomology

Автор: Stephan Mescher
Название: Perturbed Gradient Flow Trees and A?-algebra Structures in Morse Cohomology
ISBN: 3030095266 ISBN-13(EAN): 9783030095260
Издательство: Springer
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Цена: 9083.00 р.
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Описание:

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.
Conjugate Gradient Type Methods for Ill-Posed Problems

Автор: Hanke, Martin
Название: Conjugate Gradient Type Methods for Ill-Posed Problems
ISBN: 0367449110 ISBN-13(EAN): 9780367449117
Издательство: Taylor&Francis
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Цена: 9492.00 р.
Наличие на складе: Поставка под заказ.

Описание: This book is an outgrowth of the author`s habilitation thesis "Regularization of ill-posed problems by conjugate gradient type methods". It deals with the stability of the numerical algorithms and considers the applicability of Krylov subspace methods to selfad-joint, indefinite problems.

Mechanics of Strain Gradient Materials

Автор: Bertram Albrecht, Forest Samuel
Название: Mechanics of Strain Gradient Materials
ISBN: 3030438325 ISBN-13(EAN): 9783030438326
Издательство: Springer
Цена: 22359.00 р.
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.

Attractors Under Discretisation

Автор: Xiaoying Han; Peter Kloeden
Название: Attractors Under Discretisation
ISBN: 3319619330 ISBN-13(EAN): 9783319619330
Издательство: Springer
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Цена: 7685.00 р.
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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.

Practical Mathematical Optimization

Автор: Snyman, Jan A, Wilke, Daniel N
Название: Practical Mathematical Optimization
ISBN: 3319775855 ISBN-13(EAN): 9783319775852
Издательство: Springer
Рейтинг:
Цена: 11179.00 р.
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.

Mechanics of Strain Gradient Materials

Автор: Bertram Albrecht, Forest Samuel
Название: Mechanics of Strain Gradient Materials
ISBN: 3030438295 ISBN-13(EAN): 9783030438296
Издательство: Springer
Рейтинг:
Цена: 22359.00 р.
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.

Optimal Design of Multi-Phase Materials

Автор: Casado-Diaz, Juan
Название: Optimal Design of Multi-Phase Materials
ISBN: 3030981908 ISBN-13(EAN): 9783030981907
Издательство: Springer
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Цена: 6986.00 р.
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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.

Conjugate Gradient Algorithms in Nonconvex Optimization

Автор: Radoslaw Pytlak
Название: Conjugate Gradient Algorithms in Nonconvex Optimization
ISBN: 3642099254 ISBN-13(EAN): 9783642099250
Издательство: Springer
Рейтинг:
Цена: 27251.00 р.
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.


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