Recent Applications of Harmonic Analysis to Function Spaces, Differential Equations, and Data Science, Isaac Pesenson; Quoc Thong Le Gia; Azita Mayeli; H
Автор: Ronald E Mickens Название: Nonstandard Finite Difference Schemes: Methodology And Applications ISBN: 9811222533 ISBN-13(EAN): 9789811222535 Издательство: World Scientific Publishing Рейтинг: Цена: 17424.00 р. Наличие на складе: Есть у поставщика Поставка под заказ.
Описание:
"This book contains a clear presentation of nonstandard finite difference schemes for the numerical integration of differential equations. A set of rules for constructing nonstandard finite difference schemes is also presented. An important feature of the book is the illustration of the various discrete modeling principles, by their application to a large number of both ordinary and partial differential equations."
Mathematical Reviews
This second edition of Nonstandard Finite Difference Models of Differential Equations provides an update on the progress made in both the theory and application of the NSFD methodology during the past two and a half decades. In addition to discussing details related to the determination of the denominator functions and the nonlocal discrete representations of functions of dependent variables, we include many examples illustrating just how this should be done.
Of real value to the reader is the inclusion of a chapter listing many exact difference schemes, and a chapter giving NSFD schemes from the research literature. The book emphasizes the critical roles played by the "principle of dynamic consistency" and the use of sub-equations for the construction of valid NSFD discretizations of differential equations.
The theory of multivalued maps and the theory of differential inclusions are closely connected and intensively developing branches of contemporary mathematics. They have effective and interesting applications in control theory, optimization, calculus of variations, non-smooth and convex analysis, game theory, mathematical economics and in other fields.
This book presents a user-friendly and self-contained introduction to both subjects. It is aimed at "beginners", starting with students of senior courses. The book will be useful both for readers whose interests lie in the sphere of pure mathematics, as well as for those who are involved in applicable aspects of the theory. In Chapter 0, basic definitions and fundamental results in topology are collected. Chapter 1 begins with examples showing how naturally the idea of a multivalued map arises in diverse areas of mathematics, continues with the description of a variety of properties of multivalued maps and finishes with measurable multivalued functions. Chapter 2 is devoted to the theory of fixed points of multivalued maps. The whole of Chapter 3 focuses on the study of differential inclusions and their applications in control theory. The subject of last Chapter 4 is the applications in dynamical systems, game theory, and mathematical economics.
The book is completed with the bibliographic commentaries and additions containing the exposition related both to the sections described in the book and to those which left outside its framework. The extensive bibliography (including more than 400 items) leads from basic works to recent studies.
Описание: This book deals with the study of sequence spaces, matrix transformations, measures of noncompactness and their various applications. Chapter 1 discusses the theory of FK spaces and Chapter 2 various duals of sequence spaces, which are used to characterize the matrix classes between these sequence spaces (FK and BK spaces) in Chapters 3 and 4.
Описание: This book deals with the study of sequence spaces, matrix transformations, measures of noncompactness and their various applications. Chapter 1 discusses the theory of FK spaces and Chapter 2 various duals of sequence spaces, which are used to characterize the matrix classes between these sequence spaces (FK and BK spaces) in Chapters 3 and 4.
Автор: Juan Luis Garc?a Guirao; Jos? Alberto Murillo Hern Название: Recent Advances in Differential Equations and Applications ISBN: 303000340X ISBN-13(EAN): 9783030003401 Издательство: Springer Рейтинг: Цена: 13974.00 р. Наличие на складе: Есть у поставщика Поставка под заказ.
Описание: This work gathers a selection of outstanding papers presented at the 25th Conference on Differential Equations and Applications / 15th Conference on Applied Mathematics, held in Cartagena, Spain, in June 2017. It supports further research into both ordinary and partial differential equations, numerical analysis, dynamical systems, control and optimization, trending topics in numerical linear algebra, and the applications of mathematics to industry. The book includes 14 peer-reviewed contributions and mainly addresses researchers interested in the applications of mathematics, especially in science and engineering. It will also greatly benefit PhD students in applied mathematics, engineering and physics.
Описание: Introduction.- Characterization of Gevrey Regularity by a Class of FBI Transforms.- A Novel Mathematical Approach to the Theory of Translation Invariant Linear Systems.- Asymptotic Behaviour of the Fourier Transform of a Function of Bounded Variation.- Convergence and Regularization of Sampling Series.- Harmonic Analysis in Non-Euclidean Spaces: Theory and Application.- An Harmonic Analysis of Directed Graphs from Arithmetic Functions and Primes.- Sheaf and Duality Methods for Analyzing Multi-Model Systems.- On Boundary-Value Problems for a Partial Differential Equation with Caputo and Bessel Operator.- On the Solvability of the Zaremba Problem in Infinite Sectors and the Invertibility of Associated Singular Integral Operators.- On the Solution of the Oblique Derivative Problem by Constructive Runge-Walsh Concepts.- An Overview of Numerical Acceleration Techniques for Non-Linear Dimension Reduction.- Adaptive Density Estimation on the Circle by Nearly-Tight Frames.- Interactions between Kernels, Frames, and Persistent Homology.- Multi-Penalty Regularization for Detecting Relevant Variables.- Stable Likelihood Computation for Gaussian Random Fields.
Автор: Sagun Chanillo; Bruno Franchi; Guozhen Lu; Carlos Название: Harmonic Analysis, Partial Differential Equations and Applications ISBN: 331952741X ISBN-13(EAN): 9783319527413 Издательство: Springer Рейтинг: Цена: 13974.00 р. Наличие на складе: Есть у поставщика Поставка под заказ.
Описание: This collection of articles and surveys is devoted to Harmonic Analysis, related Partial Differential Equations and Applications and in particular to the fields of research to which Richard L.
Описание: This collection of articles and surveys is devoted to Harmonic Analysis, related Partial Differential Equations and Applications and in particular to the fields of research to which Richard L.
Описание: Covering a range of subjects from operator theory and classical harmonic analysis to Banach space theory, this book contains survey and expository articles by leading experts in their corresponding fields, and features fully-refereed, high-quality papers exploring new results and trends in spectral theory, mathematical physics, geometric function theory, and partial differential equations. Graduate students and researchers in analysis will find inspiration in the articles collected in this volume, which emphasize the remarkable connections between harmonic analysis and operator theory. Another shared research interest of the contributors of this volume lies in the area of applied harmonic analysis, where a new notion called chromatic derivatives has recently been introduced in communication engineering.
The material for this volume is based on the 13th New Mexico Analysis Seminar held at the University of New Mexico, April 3-4, 2014 and on several special sections of the Western Spring Sectional Meeting at the University of New Mexico, April 4-6, 2014. During the event, participants honored the memory of Cora Sadosky—a great mathematician who recently passed away and who made significant contributions to the field of harmonic analysis. Cora was an exceptional mathematician and human being. She was a world expert in harmonic analysis and operator theory, publishing over fifty-five research papers and authoring a major textbook in the field. Participants of the conference include new and senior researchers, recent doctorates as well as leading experts in the area.
Автор: Lang Название: Analysis On Function Spaces Of Musi ISBN: 1498762603 ISBN-13(EAN): 9781498762601 Издательство: Taylor&Francis Рейтинг: Цена: 24499.00 р. Наличие на складе: Есть у поставщика Поставка под заказ.
Описание: Musielak-Orlicz spaces came under a new light when applications to electrorheological hydrodynamics forced the particular case of the variable exponent Lebesgue spaces into the center stage.
Описание: Covering a range of subjects from operator theory and classical harmonic analysis to Banach space theory, this book features fully-refereed, high-quality papers exploring new results and trends in weighted norm inequalities, Schur-Agler class functions, complex analysis, dynamical systems, and dyadic harmonic analysis.
Описание: Preface.- Part I: Cora.- Cora Sadosky: her mathematics, mentorship, and professional contributions (Rodolfo Torres).- Cora's scholarly work: publications according to MathSciNet.- Remembrances and Photos (Steven Krantz, Marнa Dolores (Lolу) Morбn, Guido Weiss, Mike Wilson, Georgia Benkhart, Judy Green, Richard Bourgin, Daniel Szyld, Estela Gavosto, Andrea Nahmod, Marнa Cristina Pereyra, Gustavo Ponce, Rodolfo Torres & Wilfredo Urbina).- Part II: Harmonic and Complex Analysis, Banach and Metric Spaces, and Partial Differential Equations.- Higher-order elliptic equations in non-smooth domains: history and recent results (Svitlana Mayboroda).- Victor Shapiro and the theory of uniqueness for multiple trigonometric series (Marshall Ash).- A last conversation with Cora (Aline Bonami).- Fourier multipliers of the homogeneous Sobolev space W1,1 (Aline Bonami).- A Note on nonhomogeneous weighted div-curl lemmas (Der-Chen Chang, Galia Dafni & Hong Yue).- A remark on bilinear square functions (Lukas Grafakos).- Unique continuous for the elasticity system and a counterexample for second order elliptic systems (Carlos Kenig & Jenn-Nan Wang).- Hardy spaces of holomorphic functions for domains in Cn with minimal smoothness (Loredana Lanzani & Eli Stein).- On the preservation of eccentricities of Monge-Ampиre sections (Diego Maldonado).- BMO: oscillations, self-improvement, Gagliardo coordinate spaces and reverse Hardy inequalities (Mario Milman).- Besov spaces, symbolic calculus and boundedness of bilinear pseudodifferential operators (Virginia Naibo & Jodi Herbert).- Metric characterization of some classes of Banach spaces (Mikhail Ostrowski).- On the IVP for the k-generalized Benjamin-Ono equation (Gustavo Ponce).
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