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Advanced Numerical and Semi–Analytical Methods for Differential Equations, Snehashish Chakraverty, Nisha Mahato, Perumandla K


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Автор: Snehashish Chakraverty, Nisha Mahato, Perumandla K   (Чакраверти Снехашиш)
Название:  Advanced Numerical and Semi–Analytical Methods for Differential Equations
Перевод названия: Чакраверти Снехашиш: Усовершенствованные численные и полуаналитические методы для дифференциальных у
ISBN: 9781119423423
Издательство: Wiley
Классификация:
ISBN-10: 1119423422
Обложка/Формат: Hardback
Страницы: 256
Вес: 0.60 кг.
Дата издания: 14.06.2019
Серия: Mathematics
Язык: English
Размер: 237 x 163 x 18
Читательская аудитория: Professional & vocational
Ключевые слова: Mathematics
Основная тема: Mathematics
Ссылка на Издательство: Link
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Поставляется из: Англии
Описание:

Examines numerical and semi-analytical methods for differential equations that can be used for solving practical ODEs and PDEs

This student-friendly book deals with various approaches for solving differential equations numerically or semi-analytically depending on the type of equations and offers simple example problems to help readers along.

Featuring both traditional and recent methods, Advanced Numerical and Semi Analytical Methods for Differential Equations begins with a review of basic numerical methods. It then looks at Laplace, Fourier, and weighted residual methods for solving differential equations. A new challenging method of Boundary Characteristics Orthogonal Polynomials (BCOPs) is introduced next. The book then discusses Finite Difference Method (FDM), Finite Element Method (FEM), Finite Volume Method (FVM), and Boundary Element Method (BEM). Following that, analytical/semi analytic methods like Akbari Ganjis Method (AGM) and Exp-function are used to solve nonlinear differential equations. Nonlinear differential equations using semi-analytical methods are also addressed, namely Adomian Decomposition Method (ADM), Homotopy Perturbation Method (HPM), Variational Iteration Method (VIM), and Homotopy Analysis Method (HAM). Other topics covered include: emerging areas of research related to the solution of differential equations based on differential quadrature and wavelet approach; combined and hybrid methods for solving differential equations; as well as an overview of fractal differential equations. Further, uncertainty in term of intervals and fuzzy numbers have also been included, along with the interval finite element method. This book:

  • Discusses various methods for solving linear and nonlinear ODEs and PDEs
  • Covers basic numerical techniques for solving differential equations along with various discretization methods
  • Investigates nonlinear differential equations using semi-analytical methods
  • Examines differential equations in an uncertain environment
  • Includes a new scenario in which uncertainty (in term of intervals and fuzzy numbers) has been included in differential equations
  • Contains solved example problems, as well as some unsolved problems for self-validation of the topics covered

Advanced Numerical and Semi Analytical Methods for Differential Equations is an excellent text for graduate as well as post graduate students and researchers studying various methods for solving differential equations, numerically and semi-analytically.




Textbook on Ordinary Differential Equations

Автор: Ahmad Shair
Название: Textbook on Ordinary Differential Equations
ISBN: 3319164074 ISBN-13(EAN): 9783319164076
Издательство: Springer
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Цена: 6986.00 р.
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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.

Differential Equations for Engineers

Автор: Xie
Название: Differential Equations for Engineers
ISBN: 1107632951 ISBN-13(EAN): 9781107632950
Издательство: Cambridge Academ
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Цена: 9504.00 р.
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Описание: Xie presents a systematic introduction to differential equations for engineering students. The relevance of differential equations in engineering applications motivates readers, and studies of various types of differential equations are determined by engineering applications. The theory and techniques for solving differential equations are then applied to solve practical engineering problems.

Advanced Topics in Computational Partial Differential Equations / Numerical Methods and Diffpack Programming

Автор: Langtangen Hans P., Tveito Aslak
Название: Advanced Topics in Computational Partial Differential Equations / Numerical Methods and Diffpack Programming
ISBN: 3540014381 ISBN-13(EAN): 9783540014386
Издательство: Springer
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Цена: 13969.00 р.
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Описание: The book is suitable for readers with a background in basic finite element and finite difference methods for partial differential equations who wants gentle introductions to advanced topics like parallel computing, multigrid methods, and special methods for systems of PDEs. The goal of all chapters is to *compute* solutions to problems, hence algorithmic and software issues play a central role. All software examples use the Diffpack programming environment, so to take advantage of these examples some experience with Diffpack is required. There are also some chapters covering complete applications, i.e., the way from a model, expressed as systems of PDEs, through discretization methods, algorithms, software design, verification, and computational examples.

Differential Equations, Dynamical Systems, and an Introduction to Chaos

Автор: Morris W. Hirsch
Название: Differential Equations, Dynamical Systems, and an Introduction to Chaos
ISBN: 0123820103 ISBN-13(EAN): 9780123820105
Издательство: Elsevier Science
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Цена: 13304.00 р.
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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.

Numerical Methods for Differential Equations, Optimization, and Technological Problems

Автор: Sergey Repin; Timo Tiihonen; Tero Tuovinen
Название: Numerical Methods for Differential Equations, Optimization, and Technological Problems
ISBN: 9401781451 ISBN-13(EAN): 9789401781459
Издательство: Springer
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Цена: 22201.00 р.
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Описание: This book collects results in numerical analysis and optimization presented at the 2011 ECCOMAS thematic conference "Computational Analysis and Optimization." The conference and the book celebrate the work of Prof. Pekka Neittaanmaki on his sixtieth birthday.

Numerical Methods for Differential Equations and Applications

Автор: Liviu Gr. Ixaru
Название: Numerical Methods for Differential Equations and Applications
ISBN: 9027715971 ISBN-13(EAN): 9789027715975
Издательство: Springer
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Цена: 15372.00 р.
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Numerical methods for ordinary differential equations

Автор: Butcher, J. C.
Название: Numerical methods for ordinary differential equations
ISBN: 1119121507 ISBN-13(EAN): 9781119121503
Издательство: Wiley
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Цена: 12981.00 р.
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Описание:

A new edition of this classic work, comprehensively revised to present exciting new developments in this important subject

The study of numerical methods for solving ordinary differential equations is constantly developing and regenerating, and this third edition of a popular classic volume, written by one of the world's leading experts in the field, presents an account of the subject which reflects both its historical and well-established place in computational science and its vital role as a cornerstone of modern applied mathematics.

In addition to serving as a broad and comprehensive study of numerical methods for initial value problems, this book contains a special emphasis on Runge-Kutta methods by the mathematician who transformed the subject into its modern form dating from his classic 1963 and 1972 papers. A second feature is general linear methods which have now matured and grown from being a framework for a unified theory of a wide range of diverse numerical schemes to a source of new and practical algorithms in their own right. As the founder of general linear method research, John Butcher has been a leading contributor to its development; his special role is reflected in the text. The book is written in the lucid style characteristic of the author, and combines enlightening explanations with rigorous and precise analysis. In addition to these anticipated features, the book breaks new ground by including the latest results on the highly efficient G-symplectic methods which compete strongly with the well-known symplectic Runge-Kutta methods for long-term integration of conservative mechanical systems.

This third edition of Numerical Methods for Ordinary Differential Equations will serve as a key text for senior undergraduate and graduate courses in numerical analysis, and is an essential resource for research workers in applied mathematics, physics and engineering.

Domain Decomposition Methods for the Numerical Solution of Partial Differential Equations

Автор: Tarek Mathew
Название: Domain Decomposition Methods for the Numerical Solution of Partial Differential Equations
ISBN: 3540772057 ISBN-13(EAN): 9783540772057
Издательство: Springer
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Цена: 18167.00 р.
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Описание: A matrix oriented introduction to domain decomposition methodology. It discusses topics including hybrid formulations, Schwarz, substructuring and Lagrange multiplier methods for elliptic equations, computational issues, least squares-control methods, multilevel methods, non-self adjoint problems, parabolic equations and saddle point applications.

Numerical Methods for Nonlinear Partial Differential Equations

Автор: S?ren Bartels
Название: Numerical Methods for Nonlinear Partial Differential Equations
ISBN: 3319137964 ISBN-13(EAN): 9783319137964
Издательство: Springer
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Цена: 13275.00 р.
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Описание: The description of many interesting phenomena in science and engineering leads to infinite-dimensional minimization or evolution problems that define nonlinear partial differential equations.


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