Foundations of Applied Mathematics, Volume 2: Algorithms, Approximation, Optimization, Jeffrey Humpherys, Tyler J. Jarvis
Автор: Ito Kazufumi, Jin Bangti Название: Inverse Problems: Tikhonov Theory and Algorithms ISBN: 9814596191 ISBN-13(EAN): 9789814596190 Издательство: World Scientific Publishing Рейтинг: Цена: 118270.00 T Наличие на складе: Есть у поставщика Поставка под заказ. Описание:
Inverse problems arise in practical applications whenever one needs to deduce unknowns from observables. This monograph is a valuable contribution to the highly topical field of computational inverse problems. Both mathematical theory and numerical algorithms for model-based inverse problems are discussed in detail. The mathematical theory focuses on nonsmooth Tikhonov regularization for linear and nonlinear inverse problems. The computational methods include nonsmooth optimization algorithms, direct inversion methods and uncertainty quantification via Bayesian inference.
The book offers a comprehensive treatment of modern techniques, and seamlessly blends regularization theory with computational methods, which is essential for developing accurate and efficient inversion algorithms for many practical inverse problems.
It demonstrates many current developments in the field of computational inversion, such as value function calculus, augmented Tikhonov regularization, multi-parameter Tikhonov regularization, semismooth Newton method, direct sampling method, uncertainty quantification and approximate Bayesian inference. It is written for graduate students and researchers in mathematics, natural science and engineering.
Автор: Holmes Название: Introduction to the Foundations of Applied Mathematics ISBN: 0387877495 ISBN-13(EAN): 9780387877495 Издательство: Springer Рейтинг: Цена: 55890.00 T Наличие на складе: Есть у поставщика Поставка под заказ. Описание: This book deals with the construction, analysis and interpretation of mathematical models to help us understand the world. It develops the mathematical and physical ideas that are fundamental in understanding contemporary problems in science and engineering.
This book is aimed at the approximation of set-valued functions with compact sets in an Euclidean space as values. The interest in set-valued functions is rather new. Such functions arise in various modern areas such as control theory, dynamical systems and optimization. The authors' motivation also comes from the newer field of geometric modeling, in particular from the problem of reconstruction of 3D objects from 2D cross-sections. This is reflected in the focus of this book, which is the approximation of set-valued functions with general (not necessarily convex) sets as values, while previous results on this topic are mainly confined to the convex case. The approach taken in this book is to adapt classical approximation operators and to provide error estimates in terms of the regularity properties of the approximated set-valued functions. Specialized results are given for functions with 1D sets as values.
Автор: Kenneth Lange Название: MM Optimization Algorithms ISBN: 1611974399 ISBN-13(EAN): 9781611974393 Издательство: Mare Nostrum (Eurospan) Рейтинг: Цена: 68130.00 T Наличие на складе: Невозможна поставка. Описание: Offers an overview of the MM principle, a device for deriving optimization algorithms satisfying the ascent or descent property. These algorithms can:Separate the variables of a problem. Avoid large matrix inversions. Linearize a problem. Restore symmetry.Deal with equality and inequality constraints gracefully. Turn a non-differentiable problem into a smooth problem.The author: Presents the first extended treatment of MM algorithms, which are ideal for high-dimensional optimization problems in data mining, imaging, and genomics. Derives numerous algorithms from a broad diversity of application areas, with a particular emphasis on statistics, biology, and data mining.Summarizes a large amount of literature that has not reached book form before.
Автор: Tamas Terlaky and Miguel F. Anjos Название: Advances and Trends in Optimization with Engineering Applications ISBN: 1611974674 ISBN-13(EAN): 9781611974676 Издательство: Mare Nostrum (Eurospan) Рейтинг: Цена: 101640.00 T Наличие на складе: Невозможна поставка. Описание: Optimization is of critical importance in engineering. This overview of state-of-the-art optimization techniques reviews 10 major areas of optimization and related engineering applications. It provides a solid foundation for engineers and mathematical optimizers alike who want to understand not only the importance of optimization methods to engineering but also the capabilities of current methods.
Автор: Klaus Jansen; Stefano Leonardi; Vijay Vazirani Название: Approximation Algorithms for Combinatorial Optimization ISBN: 3540441867 ISBN-13(EAN): 9783540441861 Издательство: Springer Рейтинг: Цена: 65210.00 T Наличие на складе: Есть у поставщика Поставка под заказ. Описание: Compiled from the proceedings of the 5th International Workshop on Approximation Algorithms for Combinatorial Optimization Problems, this volume contains 20 revised full papers. Coverage includes design and analysis of approximation algorithms, inapproximability results and online problems.
Автор: Maitine Bergounioux, ?douard Oudet, Martin Rumpf, Название: Topological Optimization and Optimal Transport: In the Applied Sciences ISBN: 3110439263 ISBN-13(EAN): 9783110439267 Издательство: Walter de Gruyter Рейтинг: Цена: 173490.00 T Наличие на складе: Есть у поставщика Поставка под заказ. Описание:
By discussing topics such as shape representations, relaxation theory and optimal transport, trends and synergies of mathematical tools required for optimization of geometry and topology of shapes are explored. Furthermore, applications in science and engineering, including economics, social sciences, biology, physics and image processing are covered.
Contents Part I
Geometric issues in PDE problems related to the infinity Laplace operator
Solution of free boundary problems in the presence of geometric uncertainties
Distributed and boundary control problems for the semidiscrete Cahn-Hilliard/Navier-Stokes system with nonsmooth Ginzburg-Landau energies
High-order topological expansions for Helmholtz problems in 2D
On a new phase field model for the approximation of interfacial energies of multiphase systems
Optimization of eigenvalues and eigenmodes by using the adjoint method
Discrete varifolds and surface approximation
Part II
Weak Monge-Ampere solutions of the semi-discrete optimal transportation problem
Optimal transportation theory with repulsive costs
Wardrop equilibria: long-term variant, degenerate anisotropic PDEs and numerical approximations
On the Lagrangian branched transport model and the equivalence with its Eulerian formulation
On some nonlinear evolution systems which are perturbations of Wasserstein gradient flows
Pressureless Euler equations with maximal density constraint: a time-splitting scheme
Convergence of a fully discrete variational scheme for a thin-film equatio
Interpretation of finite volume discretization schemes for the Fokker-Planck equation as gradient flows for the discrete Wasserstein distance
Автор: Klaus Jansen; Jose Rolim Название: Approximation Algorithms for Combinatorial Optimization ISBN: 3540647368 ISBN-13(EAN): 9783540647362 Издательство: Springer Рейтинг: Цена: 65210.00 T Наличие на складе: Есть у поставщика Поставка под заказ. Описание: A volume of 17 papers from a workshop on approximation algorithms for combinatorial optimization. They address the design and analysis of approximation algorithms, inapproximability results, on-line problems, randomization techniques, average-case analysis, scheduling problems, and applications.
Автор: Dorit Hochbaum; Klaus Jansen; Jose D.P. Rolim; Ali Название: Randomization, Approximation, and Combinatorial Optimization. Algorithms and Techniques ISBN: 3540663290 ISBN-13(EAN): 9783540663294 Издательство: Springer Рейтинг: Цена: 65210.00 T Наличие на складе: Есть у поставщика Поставка под заказ. Описание: This text presents various new results within the areas covered by the workshop.
Автор: Powers, Joseph M. (University of Notre Dame, Indiana) Sen, Mihir (University of Notre Dame, Indiana) Название: Mathematical Methods in Engineering ISBN: 1107037042 ISBN-13(EAN): 9781107037045 Издательство: Cambridge Academ Рейтинг: Цена: 67590.00 T Наличие на складе: Есть у поставщика Поставка под заказ. Описание: This book is designed for engineering graduate students. It connects mathematics to a variety of methods used for engineering problems by walking the reader stepwise through examples that have been worked in detail, followed by numerous homework problems to reinforce learning and connect the subject matter to engineering applications.
Автор: Chi Tat Chong, Liang Yu Название: Recursion Theory: Computational Aspects of Definability ISBN: 3110275554 ISBN-13(EAN): 9783110275551 Издательство: Walter de Gruyter Цена: 138080.00 T Наличие на складе: Есть у поставщика Поставка под заказ. Описание: This monograph presents recursion theory from a generalized point of view centered on the computational aspects of definability. A major theme is the study of the structures of degrees arising from two key notions of reducibility, the Turing degrees and the hyperdegrees, using techniques and ideas from recursion theory, hyperarithmetic theory, and descriptive set theory.The emphasis is on the interplay between recursion theory and set theory, anchored on the notion of definability. The monograph covers a number of fundamental results in hyperarithmetic theory as well as some recent results on the structure theory of Turing and hyperdegrees. It also features a chapter on the applications of these investigations to higher randomness.
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