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Numerical Methods for Initial Value Problems in Physics, Guzm?n


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Автор: Guzm?n
Название:  Numerical Methods for Initial Value Problems in Physics
ISBN: 9783031335556
Издательство: Springer
Классификация:

ISBN-10: 3031335554
Обложка/Формат: Hardback
Вес: 0.00 кг.
Дата издания: 07.09.2023
Язык: English
Основная тема: Physics
Ссылка на Издательство: Link
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Поставляется из: Германии
Описание: This textbook is a comprehensive overview of the construction, implementation, and application of important numerical methods for the solution of Initial Value Problems (IVPs). Beginning with IVPs involving Ordinary Differential Equations (ODEs) and progressing to problems with Partial Differential Equations (PDEs) in 1+1 and 3+1 dimensions, it provides readers with a clear and systematic progression from simple to complex concepts. The numerical methods selected in this textbook can solve a considerable variety of problems and the applications presented cover a wide range of topics, including population dynamics, chaos, celestial mechanics, geophysics, astrophysics, and more. Each chapter contains a variety of solved problems and exercises, with code included. These examples are designed to motivate and inspire readers to delve deeper into the state-of-the-art problems in their own fields. The code is written in Fortran 90, in a library-free style, making them easy to program and efficient to run. The appendix also includes the same code in C++, making the book accessible to a variety of programming backgrounds. At the end of each chapter, there are brief descriptions of how the methods could be improved, along with one or two projects that can be developed with the methods and codes described. These projects are highly engaging, from synchronization of chaos and message encryption to gravitational waves emitted by a binary system and non-linear absorption of a scalar field. With its clear explanations, hands-on approach, and practical examples, this textbook is an essential resource for advanced undergraduate and graduate students who want to the learn how to use numerical methods to tackle challenging problems.
Дополнительное описание: Chapter1. Introduction.- Chapter2. Ordinary Differential Equations.- Chapter3. Simple Methods for Initial Value Problems Involving PDEs.- Chapter4. Method of Lines for Initial Value Problems Involving PDEs.- Chapter5. Finite Volume Methods.- Chapter6. Ini



Numerical Models for Differential Problems

Автор: Alfio Quarteroni
Название: Numerical Models for Differential Problems
ISBN: 3319493159 ISBN-13(EAN): 9783319493152
Издательство: Springer
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Цена: 12577.00 р.
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Описание: This book introduces the basic concepts for the numerical modelling of partial differential equations. It details algorithmic and computer implementation aspects and provides a number of easy-to-use programs.

Advanced Boundary Element Methods

Автор: Joachim Gwinner , Ernst Peter Stephan
Название: Advanced Boundary Element Methods
ISBN: 3319920006 ISBN-13(EAN): 9783319920009
Издательство: Springer
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Цена: 12577.00 р.
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Описание: This book is devoted to the mathematical analysis of the numerical solution of boundary integral equations treating boundary value, transmission and contact problems arising in elasticity, acoustic and electromagnetic scattering. It serves as the mathematical foundation of the boundary element methods (BEM) both for static and dynamic problems. The book presents a systematic approach to the variational methods for boundary integral equations including the treatment with variational inequalities for contact problems.

It also features adaptive BEM, hp-version BEM, coupling of finite and boundary element methods - efficient computational tools that have become extremely popular in applications. Familiarizing readers with tools like Mellin transformation and pseudodifferential operators as well as convex and nonsmooth analysis for variational inequalities, it concisely presents efficient, state-of-the-art boundary element approximations and points to up-to-date research. The authors are well known for their fundamental work on boundary elements and related topics, and this book is a major contribution to the modern theory of the BEM (especially for error controlled adaptive methods and for unilateral contact and dynamic problems) and is a valuable resource for applied mathematicians, engineers, scientists and graduate students.

Difference Methods for Initial-Boundary-Value Problems and Flow Around Bodies

Автор: You-lan Zhu; Xi-chang Zhong; Bing-mu Chen; Zuo-min
Название: Difference Methods for Initial-Boundary-Value Problems and Flow Around Bodies
ISBN: 3662067099 ISBN-13(EAN): 9783662067093
Издательство: Springer
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Цена: 6986.00 р.
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Описание: Since the appearance of computers, numerical methods for discontinuous solutions of quasi-linear hyperbolic systems of partial differential equations have been among the most important research subjects in numerical analysis.

Essential Mathematics for the Physical Sciences, Volume 1: Homogenous Boundary Value Problems, Fourier Methods, and Special Functions

Автор: Brett Borden, James Luscombe
Название: Essential Mathematics for the Physical Sciences, Volume 1: Homogenous Boundary Value Problems, Fourier Methods, and Special Functions
ISBN: 1681744848 ISBN-13(EAN): 9781681744841
Издательство: Mare Nostrum (Eurospan)
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Цена: 11504.00 р.
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Описание: Physics is expressed in the language of mathematics; it is deeply ingrained in how physics is taught and how it`s practiced. A study of the mathematics used in science is thus asound intellectual investment for training as scientists and engineers. This first volume of two is centered on methods of solving partial differential equations (PDEs) and the special functions introduced.

Essential Mathematics for the Physical Sciences, Volume 1: Homogenous Boundary Value Problems, Fourier Methods, and Special Functions

Автор: Borden Brett, Luscombe James
Название: Essential Mathematics for the Physical Sciences, Volume 1: Homogenous Boundary Value Problems, Fourier Methods, and Special Functions
ISBN: 1643279173 ISBN-13(EAN): 9781643279176
Издательство: Mare Nostrum (Eurospan)
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Цена: 15048.00 р.
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Описание:

Physics is expressed in the language of mathematics; it is deeply ingrained in how physics is taught and how it's practiced. A study of the mathematics used in science is thus asound intellectual investment for training as scientists and engineers. This first volume of two is centered on methods of solving partial differential equations (PDEs) and the special functions introduced. Solving PDEs can't be done, however, outside of the context in which they apply to physical systems. The solutions to PDEs must conform to boundary conditions, a set of additional constraints in space or time to be satisfied at the boundaries of the system, that small part of the universe under study. The first volume is devoted to homogeneous boundary-value problems (BVPs), homogeneous implying a system lacking a forcing function, or source function. The second volume takes up (in addition to other topics) inhomogeneous problems where, in addition to the intrinsic PDE governing a physical field, source functions are an essential part of the system.

This text is based on a course offered at the Naval Postgraduate School (NPS) and while produced for NPS needs, it will serve other universities well. It is based on the assumption that it follows a math review course, and was designed to coincide with the second quarter of student study, which is dominated by BVPs but also requires an understanding of special functions and Fourier analysis.

Boundary Value Problems in Linear Viscoelasticity

Автор: John M. Golden; George A.C. Graham
Название: Boundary Value Problems in Linear Viscoelasticity
ISBN: 3662061589 ISBN-13(EAN): 9783662061589
Издательство: Springer
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Цена: 9794.00 р.
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Описание: The universal adoption of the term "Viscoelasticity", intended to convey behaviour combining proper- ties both of a viscous liquid and an elastic solid, is of recent origin, not being used for example by Love (1934), though Alfrey (1948) uses it in the context of polymers.

Numerical Methods for Free Boundary Problems

Автор: VEITTAANM?KI
Название: Numerical Methods for Free Boundary Problems
ISBN: 3034857179 ISBN-13(EAN): 9783034857178
Издательство: Springer
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Цена: 11179.00 р.
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Описание: About 80 participants from 16 countries attended the Conference on Numerical Methods for Free Boundary Problems, held at the University of Jyviiskylii, Finland, July 23-27, 1990.

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 Simulations of Coupled Problems in Engineering

Автор: Sergio R. Idelsohn
Название: Numerical Simulations of Coupled Problems in Engineering
ISBN: 3319381083 ISBN-13(EAN): 9783319381084
Издательство: Springer
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Цена: 18284.00 р.
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Описание: This book presents and discusses mathematical models, numerical methods and computational techniques used for solving coupled problems in science and engineering.

Robust Numerical Methods for Singularly Perturbed Differential Equations

Автор: Hans-G?rg Roos; Martin Stynes; Lutz Tobiska
Название: Robust Numerical Methods for Singularly Perturbed Differential Equations
ISBN: 3642070825 ISBN-13(EAN): 9783642070822
Издательство: Springer
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Цена: 20263.00 р.
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Описание: This new edition incorporates new developments in numerical methods for singularly perturbed differential equations, focusing on linear convection-diffusion equations and on nonlinear flow problems that appear in computational fluid dynamics.

Numerical Solutions of Initial Value Problems Using Mathematica

Автор: Sujaul Chowdhury, Ponkog Kumar Das
Название: Numerical Solutions of Initial Value Problems Using Mathematica
ISBN: 1681749734 ISBN-13(EAN): 9781681749730
Издательство: Mare Nostrum (Eurospan)
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Цена: 5405.00 р.
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Описание: The book contains a detailed account of numerical solutions of differential equations of elementary problems of Physics using Euler and 2nd order Runge-Kutta methods and Mathematica 6.0. The problems are motion under constant force (free fall), motion under Hooke's law force (simple harmonic motion), motion under combination of Hooke's law force and a velocity dependent damping force (damped harmonic motion) and radioactive decay law. Also included are uses of Mathematica in dealing with complex numbers, in solving system of linear equations, in carrying out differentiation and integration, and in dealing with matrices.

Numerical Solutions of Initial Value Problems Using Mathematica

Автор: Sujaul Chowdhury, Ponkog Kumar Das
Название: Numerical Solutions of Initial Value Problems Using Mathematica
ISBN: 1681749777 ISBN-13(EAN): 9781681749778
Издательство: Mare Nostrum (Eurospan)
Рейтинг:
Цена: 8455.00 р.
Наличие на складе: Есть у поставщика Поставка под заказ.

Описание: The book contains a detailed account of numerical solutions of differential equations of elementary problems of Physics using Euler and 2nd order Runge-Kutta methods and Mathematica 6.0. The problems are motion under constant force (free fall), motion under Hooke's law force (simple harmonic motion), motion under combination of Hooke's law force and a velocity dependent damping force (damped harmonic motion) and radioactive decay law. Also included are uses of Mathematica in dealing with complex numbers, in solving system of linear equations, in carrying out differentiation and integration, and in dealing with matrices.


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