Differential and Difference Equations: A Comparison of Methods of Solution, Maximon Leonard C.
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: Platen Название: Numerical Solution of Stochastic Differential Equations with Jumps in Finance ISBN: 3642120571 ISBN-13(EAN): 9783642120572 Издательство: Springer Рейтинг: Цена: 84780.00 T Наличие на складе: Есть Описание: It presents many new results on higher-order methods for scenario and Monte Carlo simulation, including implicit, predictor corrector, extrapolation, Markov chain and variance reduction methods, stressing the importance of their numerical stability.
Автор: Habib Ammari , Brian Fitzpatrick, Hyeonbae Kang et al Название: Mathematical and computational methods in photonics and phononics / ISBN: 1470448009 ISBN-13(EAN): 9781470448004 Издательство: Mare Nostrum (Eurospan) Рейтинг: Цена: 116210.00 T Наличие на складе: Нет в наличии. Описание: The fields of photonics and phononics encompass the fundamental science of light and sound propagation and interactions in complex structures, as well as its technological applications. This book reviews new and fundamental mathematical tools, computational approaches, and inversion and optimal design methods to address challenging problems in photonics and phononics.An emphasis is placed on analyzing sub-wavelength resonators, super-focusing and super-resolution of electromagnetic and acoustic waves, photonic and phononic crystals, electromagnetic cloaking, and electromagnetic and elastic metamaterials and metasurfaces. Throughout this book, the authors demonstrate the power of layer potential techniques for solving challenging problems in photonics and phononics when they are combined with asymptotic analysis. This book might be of interest to researchers and graduate students working in the fields of applied and computational mathematics, partial differential equations, electromagnetic theory, elasticity, integral equations, and inverse and optimal design problems in photonics and phononics.
Автор: Snehashish Chakraverty, Nisha Mahato, Perumandla K Название: Advanced Numerical and Semi–Analytical Methods for Differential Equations ISBN: 1119423422 ISBN-13(EAN): 9781119423423 Издательство: Wiley Рейтинг: Цена: 93930.00 T Наличие на складе: Есть у поставщика Поставка под заказ. 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 Ganji's 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.
Автор: Haghighi Aliakbar Montazer Название: Difference and Differential Equations with Applications in Q ISBN: 1118393244 ISBN-13(EAN): 9781118393246 Издательство: Wiley Рейтинг: Цена: 112940.00 T Наличие на складе: Есть у поставщика Поставка под заказ. Описание: A Useful Guide to the Interrelated Areas of Differential Equations, Difference Equations, and Queueing Models Difference and Differential Equations with Applications in Queueing Theory presents the unique connections between the methods and applications of differential equations, difference equations, and Markovian queues.
Автор: Chester Charlin Название: Differential & Difference Equations: Theory, Techniques and Practice ISBN: 1682852350 ISBN-13(EAN): 9781682852354 Издательство: Неизвестно Цена: 164150.00 T Наличие на складе: Есть у поставщика Поставка под заказ. Описание: Differential and difference equations are applicable in a wide variety of fields. From mechanics in physics to predator-prey equations in biology, equations are one of the most effective methods of measuring rates of change. This book discusses various concepts like stochastic differential equations, delayed differential equations, differential algebraic equations, etc. This book is a valuable compilation of topics, ranging from the basic to the most complex advancements of differential and difference equations. It will prove beneficial for students of mathematics, physics and associated branches of science and engineering.
Автор: Chester Charlin Название: Differential & Difference Equations for Engineers and Scientists ISBN: 1682852024 ISBN-13(EAN): 9781682852026 Издательство: Неизвестно Цена: 164150.00 T Наличие на складе: Есть у поставщика Поставка под заказ. Описание: Differential and difference equations are one of the most apt methods of measuring change. Be it for measuring the changes in investment returns or measurement of growth and decay, one might find the relevance of these equations everywhere. This book unfolds the innovative aspects of differential and difference equations which will be crucial for the progress of mathematics and physics in the future. This book strives to provide a fair idea about the types of equations like ordinary differential equations, partial differential equations, abstract differential equations, etc. This book is ideal for engineering students and scientists as well.
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: Randall LeVeque Название: Finite Difference Methods for Ordinary and Partial Differential Equations ISBN: 0898716292 ISBN-13(EAN): 9780898716290 Издательство: Mare Nostrum (Eurospan) Рейтинг: Цена: 67710.00 T Наличие на складе: Нет в наличии. Описание: This book introduces finite difference methods for both ordinary differential equations (ODEs) and partial differential equations (PDEs) and discusses the similarities and differences between algorithm design and stability analysis for different types of equations. A unified view of stability theory for ODEs and PDEs is presented, and the interplay between ODE and PDE analysis is stressed. The text emphasizes standard classical methods, but several newer approaches also are introduced and are described in the context of simple motivating examples. Exercises and student projects are available on the book’s webpage, along with Matlab mfiles for implementing methods. Readers will gain an understanding of the essential ideas that underlie the development, analysis, and practical use of finite difference methods as well as the key concepts of stability theory, their relation to one another, and their practical implications. The author provides a foundation from which students can approach more advanced topics.
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: Sandra Pinelas and Tom?s Caraballo Название: Differential and difference equations with applications. ISBN: 331975646X ISBN-13(EAN): 9783319756462 Издательство: Springer Рейтинг: Цена: 121110.00 T Наличие на складе: Есть у поставщика Поставка под заказ. Описание: This book gathers papers from the International Conference on Differential & Difference Equations and Applications 2017 (ICDDEA 2017), held in Lisbon, Portugal on June 5-9, 2017.
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