B-Series: Algebraic Analysis of Numerical Methods, Butcher John C.
Автор: Mohit Kumar Sharma, Suresh Chandra Название: Numerical Methods and Data Analysis ISBN: 9386768518 ISBN-13(EAN): 9789386768513 Издательство: Mare Nostrum (Eurospan) Рейтинг: Цена: 29260.00 T Наличие на складе: Невозможна поставка. Описание: Discusses numerical techniques: interpolation, differentiation, integration, roots of equation, simultaneous linear equations, eigenvalues and eigenvectors, differential equations, partial differential equations, random numbers, statistical parameters, and the error analysis.
Автор: Burden Annette, Burden Richard, Faires J. Douglas Название: Numerical analysis ISBN: 1305253663 ISBN-13(EAN): 9781305253667 Издательство: Cengage Learning Рейтинг: Цена: 62820.00 T Наличие на складе: Есть Описание: Introduces readers to the theory and application of modern numerical approximation techniques. Providing an accessible treatment that only requires a calculus prerequisite, the authors explain how, why, and when approximation techniques can be expected to work - and why, in some situations, they fail.
Автор: Eilers Название: Introduction to Experimental Mathematics ISBN: 1107156130 ISBN-13(EAN): 9781107156135 Издательство: Cambridge Academ Рейтинг: Цена: 48570.00 T Наличие на складе: Есть у поставщика Поставка под заказ. Описание: A recent surge in computer-based experimental approaches to pure mathematics is revolutionizing the way research mathematicians work. As the first of its kind, this textbook provides students with an introduction to the ends and means of experimental mathematics using the popular computer algebra system Maple.
Автор: Corless Robert Название: Graduate Introduction to Numerical Methods ISBN: 1461484529 ISBN-13(EAN): 9781461484523 Издательство: Springer Рейтинг: Цена: 74530.00 T Наличие на складе: Есть у поставщика Поставка под заказ. Описание: This book gathers important material from floating-point arithmetic, polynomials, series, interpolation, the discrete Fourier transform, numerical differentiation and integration, numerical solutions of ODEs, BVPs, DDEs, and PDEs, and optimization.
Автор: Kiusalaas Название: Numerical Methods in Engineering with MATLAB ISBN: 1107120578 ISBN-13(EAN): 9781107120570 Издательство: Cambridge Academ Рейтинг: Цена: 92930.00 T Наличие на складе: Есть у поставщика Поставка под заказ. Описание: The third edition of this text describes a range of widely used numerical methods, with an emphasis on problem solving. Every method is discussed thoroughly and illustrated with problems involving both hand computation and programming. MATLAB (R) M-files accompany each method and are available online, as are solutions to the problems.
Domain decomposition (DD) methods provide powerful tools for constructing parallel numerical solution algorithms for large scale systems of algebraic equations arising from the discretization of partial differential equations. These methods are well-established and belong to a fast developing area. In this volume, the reader will find a brief historical overview, the basic results of the general theory of domain and space decomposition methods as well as the description and analysis of practical DD algorithms for parallel computing. It is typical to find in this volume that most of the presented DD solvers belong to the family of fast algorithms, where each component is efficient with respect to the arithmetical work. Readers will discover new analysis results for both the well-known basic DD solvers and some DD methods recently devised by the authors, e.g., for elliptic problems with varying chaotically piecewise constant orthotropism without restrictions on the finite aspect ratios.
The hp finite element discretizations, in particular, by spectral elements of elliptic equations are given significant attention in current research and applications. This volume is the first to feature all components of Dirichlet-Dirichlet-type DD solvers for hp discretizations devised as numerical procedures which result in DD solvers that are almost optimal with respect to the computational work. The most important DD solvers are presented in the matrix/vector form algorithms that are convenient for practical use.
Автор: Loustau John Название: Numerical Differential Equations: Theory And Technique, Ode Methods, Finite Differences, Finite Elements And Collocation ISBN: 9814719498 ISBN-13(EAN): 9789814719490 Издательство: World Scientific Publishing Рейтинг: Цена: 126720.00 T Наличие на складе: Есть у поставщика Поставка под заказ. Описание: The book presents numerical differential equations to graduate (doctoral) students. It includes the three standard approaches to numerical PDE, FDM, FEM and CM, and the two most common time stepping techniques, FDM and Runge-Kutta. We present both the numerical technique and the supporting mathematical theory.
Автор: Abgrall, Remi Название: Handbook of Numerical Methods for Hyperbolic Problems,17 ISBN: 0444637893 ISBN-13(EAN): 9780444637895 Издательство: Elsevier Science Рейтинг: Цена: 178540.00 T Наличие на складе: Есть у поставщика Поставка под заказ. Описание:
Handbook of Numerical Methods for Hyperbolic Problems explores the changes that have taken place in the past few decades regarding literature in the design, analysis and application of various numerical algorithms for solving hyperbolic equations.
This volume provides concise summaries from experts in different types of algorithms, so that readers can find a variety of algorithms under different situations and readily understand their relative advantages and limitations.
Автор: Davis Название: Methods of Applied Mathematics with a Software Overview ISBN: 3319433695 ISBN-13(EAN): 9783319433691 Издательство: Springer Рейтинг: Цена: 83850.00 T Наличие на складе: Есть у поставщика Поставка под заказ. Описание: This textbook, now in its second edition, provides students with a firm grasp of the fundamental notions and techniques of applied mathematics as well as the software skills to implement them. The text emphasizes the computational aspects of problem solving as well as the limitations and implicit assumptions inherent in the formal methods. Readers are also given a sense of the wide variety of problems in which the presented techniques are useful.Broadly organized around the theme of applied Fourier analysis, the treatment covers classical applications in partial differential equations and boundary value problems, and a substantial number of topics associated with Laplace, Fourier, and discrete transform theories. Some advanced topics are explored in the final chapters such as short-time Fourier analysis and geometrically based transforms applicable to boundary value problems. The topics covered are useful in a variety of applied fields such as continuum mechanics, mathematical physics, control theory, and signal processing.Replete with helpful examples, illustrations, and exercises of varying difficulty, this text can be used for a one- or two-semester course and is ideal for students in pure and applied mathematics, physics, and engineering.Key features of the software overview:Now relies solely on the free software tools Octave, Maxima, and Python.Appendix introduces all of these tools at a level suitable to those with some programming experienceProvides references to sources of further learning.Code snippets incorporated throughout the text. All graphics and illustrations generated using these tools.Praise for the first edition:“The author mixed in a remarkable way theoretical results and applications illustrating the results. Flexibility of presentation (increasing and decreasing level of rigor, accessibility) is a key feature...The book contains extensive examples, presented in an intuitive way with high quality figures (some of them quite spectacular)…” – Mathematica “...Davis's book has many novel features being quite different from most other textbooks on applied mathematics.... Mainly it has a clear and consistent exposition with a strong focus on mathematical fundamentals and useful techniques. It has numerous extensive examples, illustrations, comments, and a very modern graphical presentation of results.“…The book has style. Every theorem and mathematical result has a wonderful appealing comment.” – Studies in Informatics and Control
Автор: Epperson Название: Solutions Manual to Accompany An Introduction to Numerical Methods and Analysis Revised Edition ISBN: 0470603518 ISBN-13(EAN): 9780470603512 Издательство: Wiley Рейтинг: Цена: 37960.00 T Наличие на складе: Есть у поставщика Поставка под заказ. Описание: Praise for the First Edition "... outstandingly appealing with regard to its style, contents, considerations of requirements of practice, choice of examples, and exercises. " -Zentrablatt Math "... carefully structured with many detailed worked examples... " -The Mathematical Gazette "...
Автор: Epperson Название: Solutions Manual to Accompany An Introduction to Numerical Methods and Analysis, Second Edition ISBN: 1118395131 ISBN-13(EAN): 9781118395134 Издательство: Wiley Рейтинг: Цена: 30570.00 T Наличие на складе: Есть у поставщика Поставка под заказ. Описание: A solutions manual to accompany An Introduction toNumerical Methods and Analysis, Second Edition An Introduction to Numerical Methods and Analysis, SecondEdition reflects the latest trends in the field, includesnew material and revised exercises, and offers a unique emphasis onapplications.
Shapes, either from the natural world or man-made, are more and more digitized for visualization or measurement purposes, among others. This process results in general in 3D surface meshes, composed of collections of planar polygons. Such meshes nowadays are the most common discrete representation of the surface of a virtual shape. These 3D surface meshes are automatically, or sometimes interactively, examined, in order their overall structure or some details to be understood or evaluated. This can be done by extracting relevant geometric or topological features. Such shape characteristics can simplify the way the object is looked at, can help recognition, and can describe and categorize it according to specific criteria.
This book deals with feature definition and computation on a 3D surface mesh, and their use for shape analysis. Recent methods are described to extract feature lines having a meaning related not only to geometry but to topology as well. Differential estimators like discrete principal curvatures are detailed as they play a critical role for the computation of salient structures. Several applications are developed, and each of them needs specific adjustments to generic approaches. These applications are related to geology, planetary science, paleo-anthropology, astrophysics, medicine, and forestry.
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