PETSc for Partial Differential Equations: Numerical Solutions in C and Python, Ed Bueler
Автор: Strang Название: Differential Equations and Linear Algebra ISBN: 0980232791 ISBN-13(EAN): 9780980232790 Издательство: Cambridge Academ Рейтинг: Цена: 60180.00 T Наличие на складе: Невозможна поставка. Описание: Differential equations and linear algebra are two central topics in the undergraduate mathematics curriculum. This innovative textbook allows the two subjects to be developed either separately or together, illuminating the connections between two fundamental topics, and giving increased flexibility to instructors. It can be used either as a semester-long course in differential equations, or as a one-year course in differential equations, linear algebra, and applications. Beginning with the basics of differential equations, it covers first and second order equations, graphical and numerical methods, and matrix equations. The book goes on to present the fundamentals of vector spaces, followed by eigenvalues and eigenvectors, positive definiteness, integral transform methods and applications to PDEs. The exposition illuminates the natural correspondence between solution methods for systems of equations in discrete and continuous settings. The topics draw on the physical sciences, engineering and economics, reflecting the author's distinguished career as an applied mathematician and expositor.
Автор: Oksendal Название: Stochastic Differential Equations ISBN: 3540047581 ISBN-13(EAN): 9783540047582 Издательство: Springer Рейтинг: Цена: 54820.00 T Наличие на складе: Есть Описание: Gives an introduction to the basic theory of stochastic calculus and its applications. This book offers examples in order to motivate and illustrate the theory and show its importance for many applications in for example economics, biology and physics.
Автор: Guo Boling Et Al Название: Fractional Partial Differential Equations And Their Numerical Solutions ISBN: 9814667048 ISBN-13(EAN): 9789814667043 Издательство: World Scientific Publishing Рейтинг: Цена: 116160.00 T Наличие на складе: Есть у поставщика Поставка под заказ. Описание:
This book aims to introduce some new trends and results on the study of the fractional differential equations, and to provide a good understanding of this field to beginners who are interested in this field, which is the authors' beautiful hope.
This book describes theoretical and numerical aspects of the fractional partial differential equations, including the authors' researches in this field, such as the fractional Nonlinear SchrOdinger equations, fractional Landau-Lifshitz equations and fractional Ginzburg-Landau equations. It also covers enough fundamental knowledge on the fractional derivatives and fractional integrals, and enough background of the fractional PDEs.
Автор: Langtangen Hans P. Название: Computational Partial Differential Equations / Numerical Methods and Diffpack Programming ISBN: 354043416X ISBN-13(EAN): 9783540434160 Издательство: Springer Рейтинг: Цена: 62410.00 T Наличие на складе: Есть у поставщика Поставка под заказ. Описание: This graduate textbook - now in its second edition - teaches finite element methods and basic finite difference methods from a computational point of view. The emphasis is on developing flexible computer programs using the numerical library Diffpack. Diffpack is explained in detail for problems including model equations in applied mathematics, heat transfer, elasticity, and viscous fluid flow. All the program examples, as well as Diffpack for use with this book, are available on the Internet.
Автор: Ahmad Shair Название: Textbook on Ordinary Differential Equations ISBN: 3319164074 ISBN-13(EAN): 9783319164076 Издательство: Springer Рейтинг: Цена: 46570.00 T Наличие на складе: Есть у поставщика Поставка под заказ. Описание: The second edition has been revised to correct minor errata, and features a number of carefully selected new exercises, together with more detailed explanations of some of the topics. A complete Solutions Manual, containing solutions to all the exercises published in the book, is available.
Автор: Ganzha, Victor Grigor`e , Vorozhtsov, Evgenii Vas Название: Numerical Solutions for Partial Differential Equations ISBN: 0367448505 ISBN-13(EAN): 9780367448509 Издательство: Taylor&Francis Рейтинг: Цена: 63280.00 T Наличие на складе: Есть у поставщика Поставка под заказ. Описание: This book describes the applications of Mathematica for the numerical solution of all classical types (hyperbolic, parabolic, and elliptic) of the partial differential equations of mathematical physics.
Автор: Moysey Brio Название: Numerical Time-Dependent Partial Differential Equations for Sci ISBN: 0121339815 ISBN-13(EAN): 9780121339814 Издательство: Elsevier Science Рейтинг: Цена: 124640.00 T Наличие на складе: Есть у поставщика Поставка под заказ. Описание: It is the first text that in addition to standard convergence theory treats other necessary ingredients for successful numerical simulations of physical systems encountered by every practitioner. The book is aimed at users with interests ranging from application modeling to numerical analysis and scientific software development. It is strongly influenced by the authors research in in space physics, electrical and optical engineering, applied mathematics, numerical analysis and professional software development. The material is based on a year-long graduate course taught at the University of Arizona since 1989. The book covers the first two-semesters of a three semester series. The second semester is based on a semester-long project, while the third semester requirement consists of a particular methods course in specific disciplines like computational fluid dynamics, finite element method in mechanical engineering, computational physics, biology, chemistry, photonics, etc.The first three chapters focus on basic properties of partial differential equations, including analysis of the dispersion relation, symmetries, particular solutions and instabilities of the PDEs; methods of discretization and convergence theory for initial value problems. The goal is to progress from observations of simple numerical artifacts like diffusion, damping, dispersion, and anisotropies to their analysis and management technique, as it is not always possible to completely eliminate them.In the second part of the book we cover topics for which there are only sporadic theoretical results, while they are an integral part and often the most important part for successful numerical simulation. We adopt a more heuristic and practical approach using numerical methods of investigation and validation. The aim is teach students subtle key issues in order to separate physics from numerics. The following topics are addressed: Implementation of tra
Автор: Kythe, Prem K. Название: Partial differential equations and boundary value problems with Mathematica / ISBN: 1584883146 ISBN-13(EAN): 9781584883142 Издательство: Taylor&Francis Рейтинг: Цена: 148010.00 T Наличие на складе: Есть у поставщика Поставка под заказ. Описание: Incorporates the fourth version of the software package Mathematica (4.x). This title includes a section of Mathematica projects in each chapter, a chapter on Green`s functions, a chapter on boundary value problems, and material on inverse operators, Legendre functions, and Bessel functions.
Автор: Morris W. Hirsch Название: Differential Equations, Dynamical Systems, and an Introduction to Chaos ISBN: 0123820103 ISBN-13(EAN): 9780123820105 Издательство: Elsevier Science Рейтинг: Цена: 88690.00 T Наличие на складе: Есть у поставщика Поставка под заказ. Описание: Suitable for students in the fields of mathematics, science, and engineering, this title provides a theoretical approach to dynamical systems and chaos. It helps them to analyze the types of differential equations that arise in their area of study.
Автор: Myron Mike Sussman, William Layton Название: Numerical Linear Algebra ISBN: 9811223890 ISBN-13(EAN): 9789811223891 Издательство: World Scientific Publishing Рейтинг: Цена: 79200.00 T Наличие на складе: Есть у поставщика Поставка под заказ. Описание: 'The numerical algorithms presented are written in pseudocode and based on MATLAB, a programming and numeric computing platform widely used in STEM fields. Thus, no formal training in computer science or knowledge of any specific programming language is needed to parse the algorithms. Summing up: Recommended.'CHOICEMany students come to numerical linear algebra from science and engineering seeking modern tools and an understanding of how the tools work and their limitations. Often their backgrounds and experience are extensive in applications of numerical methods but limited in abstract mathematics and matrix theory. Often enough it is limited to multivariable calculus, basic differential equations and methods of applied mathematics. This book introduces modern tools of numerical linear algebra based on this background, heavy in applied analysis but light in matrix canonical forms and their algebraic properties. Each topic is presented as algorithmic ideas and through a foundation based on mostly applied analysis. By picking a path through the book appropriate for the level, it has been used for both senior level undergraduates and beginning graduate classes with students from diverse fields and backgrounds.
Автор: Piotr Biler Название: Singularities of Solutions to Chemotaxis Systems ISBN: 3110597896 ISBN-13(EAN): 9783110597899 Издательство: Walter de Gruyter Цена: 128870.00 T Наличие на складе: Есть у поставщика Поставка под заказ. Описание: The De Gruyter Series in Mathematics and Life Sciences is devoted to the publication of monographs in the field. They cover topics and methods in fields of current interest that use mathematical approaches to understand and explain, model and influence phenomena in all areas of life sciences. This includes, among others, theory and application of biological mathematical modeling, complex systems biology, bioinformatics, computational biomodeling stochastic modeling, biostatistics, computational evolutionary biology, comparative genomics, or structural bioinformatics. Also, new types of mathematical problems shall be covered that arise from biological knowledge. The main objectives is to make such expositions available to and accessible by an interdisciplinary, growing readership hailing from all disciplines involved. The volumes shall convey the context of the given topic and enable these readers to understand, apply and develop further mathematical methods to given problems in biology. For this reason, works with up to four authors are preferred over edited volumes. Therefore, contributions which are on the borderline of mathematics and life sciences and which stimulate further research at the crossroads of these areas are particularly welcome. In addition, use of electronic media to demonstrate, visualize and model the methods presented are very welcome, especially when interwoven with the written text. Titles in planning include Vlajko L. Kocic and Candace M. Kent, Nonlinear Nonautonomous Difference Equations: Global Behavior and Applications (2019)George Dassios and Athanassios S. Fokas, Electroencephalography and Magnetoencephalography: An Analytical-Numerical Approach (2019)Piotr Biler, Singularities of Solutions to Chemotaxis Systems (2020)
Автор: Younes Salehi, William E. Schiesser Название: Numerical Integration of Space Fractional Partial Differential Equations, Volume 2: Applications from Classical Integer PDEs ISBN: 1681732718 ISBN-13(EAN): 9781681732718 Издательство: Mare Nostrum (Eurospan) Рейтинг: Цена: 108110.00 T Наличие на складе: Невозможна поставка. Описание: Partial differential equations are one of the most used widely forms of mathematics in science and engineering. Two fractional PDEs can be considered, fractional in time, and fractional in space. This volume is directed to the development and use of SFPDEs, providing an introduction to Algorithms and Computer Coding in R.
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