Differential Equations with Mathematica, Abell Martha L., Braselton James P.
Старое издание
Автор: Abell, Martha L. Название: Differential Equations with Mathematica ISBN: 0128047763 ISBN-13(EAN): 9780128047767 Издательство: Elsevier Science Цена: 106110 T Наличие на складе: Поставка под заказ. Описание: Differential Equations with Mathematica, Fourth Edition is a supplementing reference which uses the fundamental concepts of the popular platform to solve (analytically, numerically, and/or graphically) differential equations of interest to students, instructors, and scientists. Mathematica’s diversity makes it particularly well suited to performing calculations encountered when solving many ordinary and partial differential equations. In some cases, Mathematica’s built-in functions can immediately solve a differential equation by providing an explicit, implicit, or numerical solution. In other cases, mathematica can be used to perform the calculations encountered when solving a differential equation. . Because one goal of elementary differential equations courses is to introduce students to basic methods and algorithms so that they gain proficiency in them, nearly every topic covered this book introduces basic commands, also including typical examples of their application. A study of differential equations relies on concepts from calculus and linear algebra, so this text also includes discussions of relevant commands useful in those areas. In many cases, seeing a solution graphically is most meaningful, so the book relies heavily on Mathematica’s outstanding graphics capabilities.
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: Borrelli Название: Differential Equations 2e Mathematica Technology Resource Manual ISBN: 0471483869 ISBN-13(EAN): 9780471483861 Издательство: Wiley Рейтинг: Цена: 39020.00 T Наличие на складе: Есть у поставщика Поставка под заказ. Описание: This effective and practical new edition continues to focus on differential equations as a powerful tool in constructing mathematical models for the physical world. It emphasizes modeling and visualization of solutions throughout.
Автор: Inna Shingareva; Carlos Liz?rraga-Celaya Название: Solving Nonlinear Partial Differential Equations with Maple and Mathematica ISBN: 3709117216 ISBN-13(EAN): 9783709117217 Издательство: Springer Рейтинг: Цена: 102480.00 T Наличие на складе: Есть у поставщика Поставка под заказ. Описание: This volume shows how to construct solutions of numerous nonlinear PDEs quickly and easily. The text discusses comparisons and relationships between the varying solutions, methods and approaches.
Автор: Alfred Gray; Michael Mezzino; Mark A. Pinsky Название: Introduction to Ordinary Differential Equations with Mathematica ISBN: 1461274699 ISBN-13(EAN): 9781461274698 Издательство: Springer Рейтинг: Цена: 79190.00 T Наличие на складе: Есть у поставщика Поставка под заказ. Описание: The CD-ROM contains the Mathematica solution of worked examples, a selection of various Mathematica notebooks, Mathematica movies and sample labs for students. Mathematica programs and additional problem/example files will be available online through the TELOS Web site and the authors dedicated web site.
Автор: Kulenovic, Mustafa R.S. , Merino, Orlando Название: Discrete Dynamical Systems and Difference Equations with Mathematica ISBN: 0367396300 ISBN-13(EAN): 9780367396305 Издательство: Taylor&Francis Рейтинг: Цена: 65320.00 T Наличие на складе: Невозможна поставка. Описание:
Following the work of Yorke and Li in 1975, the theory of discrete dynamical systems and difference equations developed rapidly. The applications of difference equations also grew rapidly, especially with the introduction of graphical-interface software that can plot trajectories, calculate Lyapunov exponents, plot bifurcation diagrams, and find basins of attraction.
Modern computer algebra systems have opened the door to the use of symbolic calculation for studying difference equations. This book offers an introduction to discrete dynamical systems and difference equations and presents the Dynamica software. Developed by the authors and based on Mathematica, Dynamica provides an easy-to-use collection of algebraic, numerical, and graphical tools and techniques that allow users to quickly gain the ability to:
Find and classify the stability character of equilibrium and periodic points
Perform semicycle analysis of solutions
Calculate and visualize invariants
Calculate and visualize Lyapunov functions and numbers
Plot bifurcation diagrams
Visualize stable and unstable manifolds
Calculate Box Dimension While it presents the essential theoretical concepts and results, the book's emphasis is on using the software. The authors present two sets of Dynamica sessions: one that serves as a tutorial of the different techniques, the other features case studies of well-known difference equations. Dynamica and notebooks corresponding to particular chapters are available for download from the Internet.
Автор: Dyatlov, Semyon Zworski, Maciej Название: Mathematical theory of scattering resonances ISBN: 147044366X ISBN-13(EAN): 9781470443665 Издательство: Mare Nostrum (Eurospan) Рейтинг: Цена: 112860.00 T Наличие на складе: Невозможна поставка. Описание: Scattering resonances generalize bound states/eigenvalues for systems in which energy can scatter to infinity. A typical resonance has a rate of oscillation (just as a bound state does) and a rate of decay. Although the notion is intrinsically dynamical, an elegant mathematical formulation comes from considering meromorphic continuations of Green's functions. The poles of these meromorphic continuations capture physical information by identifying the rate of oscillation with the real part of a pole and the rate of decay with its imaginary part. An example from mathematics is given by the zeros of the Riemann zeta function: they are, essentially, the resonances of the Laplacian on the modular surface. The Riemann hypothesis then states that the decay rates for the modular surface are all either $0$ or $\frac14$. An example from physics is given by quasi-normal modes of black holes which appear in long-time asymptotics of gravitational waves.This book concentrates mostly on the simplest case of scattering by compactly supported potentials but provides pointers to modern literature where more general cases are studied. It also presents a recent approach to the study of resonances on asymptotically hyperbolic manifolds. The last two chapters are devoted to semiclassical methods in the study of resonances.
Автор: Vasily E. Tarasov Название: Applications in Physics, Part B ISBN: 3110570890 ISBN-13(EAN): 9783110570892 Издательство: Walter de Gruyter Цена: 161100.00 T Наличие на складе: Есть у поставщика Поставка под заказ. Описание: This multi-volume handbook is the most up-to-date and comprehensive reference work in the field of fractional calculus and its numerous applications. This fifth volume collects authoritative chapters covering several applications of fractional calculus in physics, including electrodynamics, statistical physics and physical kinetics, and quantum theory.
Автор: Nikolas Xiros Название: Mathematical Magnetohydrodynamics ISBN: 1681732440 ISBN-13(EAN): 9781681732442 Издательство: Mare Nostrum (Eurospan) Рейтинг: Цена: 72070.00 T Наличие на складе: Невозможна поставка. Описание: Fundamentals of mathematical magnetohydrodynamics (MHD) start with definitions of major variables and parameters in MHD fluids (also known as MHD media) and specifically plasmas encountered in nature as well as in engineering sytems, e.g., metallurgy or thermonuclear fusion power. Then collisions of fluids in such fluids are examined as well as motion of individual particles. Then the basic principles of MHD fluids are introduced along with transport phenomena, medium boundaries, and surface interactions. Then, waves and resonances of all sorts in MHD media are presented. The account concludes with the description of main MHD fluid types including plasma in fusion power generation.
Автор: Athanasios C. Antoulas Название: Interpolatory Methods for Model Reduction ISBN: 1611976073 ISBN-13(EAN): 9781611976076 Издательство: Mare Nostrum (Eurospan) Рейтинг: Цена: 68130.00 T Наличие на складе: Есть у поставщика Поставка под заказ. Описание: Dynamical systems are a principal tool in the modeling, prediction, and control of a wide range of complex phenomena. As the need for improved accuracy leads to larger and more complex dynamical systems, direct simulation often becomes the only available strategy for accurate prediction or control, inevitably creating a considerable burden on computational resources. This is the main context where one considers model reduction, seeking to replace large systems of coupled differential and algebraic equations that constitute high fidelity system models with substantially fewer equations that are crafted to control the loss of fidelity that order reduction may induce in the system response. Interpolatory methods are among the most widely used model reduction techniques, and Interpolatory Methods for Model Reduction is the first comprehensive analysis of this approach available in a single, extensive resource. It introduces state-of-the-art methods reflecting significant developments over the past two decades, covering both classical projection frameworks for model reduction and data-driven, nonintrusive frameworks.This textbook is appropriate for a wide audience of engineers and other scientists working in the general areas of large-scale dynamical systems and data-driven modeling of dynamics.
Автор: Galina Filipuk, Andrzej Kozlowski Название: Analysis with Mathematica®: Volume 1: Single Variable Calculus ISBN: 3110590131 ISBN-13(EAN): 9783110590135 Издательство: Walter de Gruyter Цена: 74320.00 T Наличие на складе: Есть у поставщика Поставка под заказ. Описание: A computer algebra system such as Mathematica is able to do much more than just numerics: This text shows how to tackle real mathematical problems from basic analysis. The reader learns how Mathematica represents domains, qualifiers and limits to implement actual proofs – a requirement to unlock the huge potential of Mathematica for a variety of applications.
Автор: Abell, Martha L. Название: Differential Equations with Mathematica ISBN: 0128047763 ISBN-13(EAN): 9780128047767 Издательство: Elsevier Science Рейтинг: Цена: 106110.00 T Наличие на складе: Поставка под заказ. Описание: Differential Equations with Mathematica, Fourth Edition is a supplementing reference which uses the fundamental concepts of the popular platform to solve (analytically, numerically, and/or graphically) differential equations of interest to students, instructors, and scientists. Mathematica’s diversity makes it particularly well suited to performing calculations encountered when solving many ordinary and partial differential equations. In some cases, Mathematica’s built-in functions can immediately solve a differential equation by providing an explicit, implicit, or numerical solution. In other cases, mathematica can be used to perform the calculations encountered when solving a differential equation. . Because one goal of elementary differential equations courses is to introduce students to basic methods and algorithms so that they gain proficiency in them, nearly every topic covered this book introduces basic commands, also including typical examples of their application. A study of differential equations relies on concepts from calculus and linear algebra, so this text also includes discussions of relevant commands useful in those areas. In many cases, seeing a solution graphically is most meaningful, so the book relies heavily on Mathematica’s outstanding graphics capabilities.
Автор: Shingareva Название: Solving Nonlinear Partial Differential Equations with Maple and Mathematica ISBN: 3709105161 ISBN-13(EAN): 9783709105160 Издательство: Springer Рейтинг: Цена: 102480.00 T Наличие на складе: Есть у поставщика Поставка под заказ. Описание: starting from an analytical derivation of exact governing equations, constructing discretizations and analytical formulas of a numerical method, performing numerical procedure, obtaining various visualizations, and comparing the numerical solution obtained with other types of solutions considered in the book, e.g.
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