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Numerical Solution of Partial Differential Equations: An Introduction

Numerical Solution of Partial Differential Equations: An Introduction more books like this

by K W Morton, D F Mayers (Editor)

Partial differential equations are the chief means of providing mathematical models in science, engineering and other fields. Generally these models must be solved numerically. This book provides a concise introduction to standard numerical techniques, ones chosen on the basis of their general utility for practical problems. The authors emphasise ...

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Numerical Solution of Stochastic Differential Equations

Numerical Solution of Stochastic Differential Equations more books like this

by Peter E Kloeden

The numerical analysis of stochastic differential equations differs significantly from that of ordinary differential equations, due to the peculiarities of stochastic calculus. The book proposes to the reader whose background knowledge is limited to undergraduate level methods for engineering and physics, and easily accessible introductions to SDE ...

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Numerical Solution of Partial Differential Equations: Finite Difference Methods

Numerical Solution of Partial Differential Equations: Finite Difference Methods more books like this

by Gordon D Smith

Substantially revised, this authoritative study covers the standard finite difference methods of parabolic, hyperbolic, and elliptic equations, and includes the concomitant theoretical work on consistency, stability, and convergence. The new edition includes revised and greatly expanded sections on stability based on the Lax-Richtmeyer definition, ...

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Stability and Periodic Solutions of Ordinary and Functional Differential Equations

Stability and Periodic Solutions of Ordinary and Functional Differential Equations more books like this

by T A Burton

This book's coverage of differential equations begins with the structure of the solution space and the stability and periodic properties of linear ordinary and Volterra differential equations. Discusses the fixed-point theorems of Banach, Brouwer, Browder, Horn, Schauder, and Tychonov and concludes with the basic stability and periodicity theory ...

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Advanced Mathematical Methods for Scientists and Engineers I: Asymptotic Methods and Perturbation Theory

Advanced Mathematical Methods for Scientists and Engineers I: Asymptotic Methods and Perturbation Theory more books like this

by Carl M Bender, Steven A Orszag

This book gives a clear, practical and self-contained presentation of the methods of asymptotics and perturbation theory for obtaining approximate analytical solutions to differential and difference equations. These methods allow one to analyze physics and engineering problems that may not be solvable in closed form and for which brute-force ...

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Perturbation Methods

Perturbation Methods more books like this

by Ali Hasan Nayfeh, PH.D.

The Method of Perturbations (asymptotic expansions) is an approximations technique for solving complicated problems in mathematics, engineering and physics involving nonlinear equations, variable coefficients and nonlinear boundary conditions. The purpose of this book is to present in a unified way an account of some of these techniques, pointing ...

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Variational Methods in Mathematics, Science and Engineering

Variational Methods in Mathematics, Science and Engineering more books like this

by Karel Rektorys

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Advanced Mathematical Methods for Scientists and Engineers more books like this

by Carl M Bender, Steven A Orszag

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Time Domain Electromagnetics

Time Domain Electromagnetics more books like this

by Sadasiva M Rao (Editor), E K Miller (Introduction by)

Time Domain Electromagnetics deals with a specific technique in electromagnetics within the general area of electrical engineering. This mathematical method has become a standard for a wide variety of applications for design and problem solving. This method of analysis in electromagnetics is directly related to advances in cellular and mobile ...

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Solving Odes with Maple V

Solving Odes with Maple V more books like this

by David Barrow, Art Belmonte, Albert Boggess

This comprehensive book helps students tap into the power of MapleA(R), thereby simplifying the computations and graphics that are often required in the practical use of mathematics. Numerous examples and exercises provide a thorough introduction to the basic MapleA(R) commands that are needed to solve differential equations. Topics include: ...

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Transform Methods for Solving Partial Differential Equations Es more books like this

by Dean G Duffy

For most scientists and engineers, the only analytical technique for solving linear partial differential equations is separation of variables. This text uses the power of complex variables to demonstrate how Laplace and Fourier transforms can be harnassed to solve many practical, everyday problems experienced by scientists and engineers. It ...

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Symmetry Methods for Differential Equations: A Beginner's Guide

Symmetry Methods for Differential Equations: A Beginner's Guide more books like this

by Peter E Hydon, D G Crighton (Editor), M J Ablowitz (Editor)

Symmetry is the key to solving differential equations. There are many well-known techniques for obtaining exact solutions, but most of them are special cases of a few powerful symmetry methods. Furthermore, these methods can be applied to differential equations of an unfamiliar type; they do not rely on special 'tricks'. Instead, a given ...

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Iterative Methods for Sparse Linear Systems more books like this

by Yousef Saad

Tremendous progress has been made in the scientific and engineering disciplines regarding the use of iterative methods for linear systems. The size and complexity of linear and nonlinear systems arising in typical applications has grown, meaning that using direct solvers for the three-dimensional models of these problems is no longer effective. At ...

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Multivariate Polysplines: Applications to Numerical and Wavelet Analysis more books like this

by Ognyan Kounchev

Multivariate polysplines are a new mathematical technique that has arisen from a synthesis of approximation theory and the theory of partial differential equations. It is an invaluable means to interpolate practical data with smooth functions. Multivariate polysplines have applications in the design of surfaces and 'smoothing' that are essential ...

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A First Course in the Numerical Analysis of Differential Equations more books like this

by Arieh Iserles

Numerical analysis presents different faces to the world. For mathematicians it is a bona fide mathematical theory with an applicable flavour. For scientists and engineers it is a practical, applied subject, part of the standard repertoire of modelling techniques. For computer scientists it is a theory on the interplay of computer architecture and ...

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Integral methods in science and engineering more books like this

by C Constanda

This volume is an outgrowth of the sixth international conference on integral methods in science and engineering. The chapters focus on the solution of mathematical models from various physical domains, using integral methods in conjunction with approximation schemes. The book describes the construction and application of various analytic and ...

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Numerical methods for partial differential equations more books like this

by William F Ames

This work is designed as an introduction to the concepts of modern differential analysis applied to partial differential equations. It contains numerous practical problems/solutions. This third edition incorporates new material on boundary elements, spectral methods, the methods of lines and invariant methods. At the same time, the material on ...

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Groups and symmetry more books like this

by M. A. Armstrong

Groups are important because they measure symmetry. This text, designed for undergraduate mathematics students, provides a gentle introduction to the highlights of elementary group theory. Written in an informal style, the material is divided into short sections each of which deals with an important result or a new idea. Throughout the book, the ...

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Differential Equations with Maple more books like this

by Kevin Robert Coombes, Brian R Hunt, Ronald L Lipsman

This supplement, designed to accompany the Sixth Edition of Boyce and DiPrima's "Elementary Differential Equations", introduces Maple - a mathematical software system - as a tool for analyzing differential equations. It refocuses the traditional ODE course by emphasizing an integrated approach using symbolic, numerical, graphical, and qualitative ...

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Shadowing in Dynamical Systems: Theory and Applications more books like this

by Kenneth J Palmer

In this book the theory of hyperbolic sets is developed, both for diffeomorphisms and flows, with an emphasis on shadowing. We show that hyperbolic sets are expansive and have the shadowing property. Then we use shadowing to prove that hyperbolic sets are robust under perturbation, that they have an asymptotic phase property and also that the ...

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The Mathematical Theory of Finite Element Methods more books like this

by Susanne C Brenner

This book develops the basic mathematical theory of the finite element method, the most widely used technique for engineering design and analysis. It formalizes basic tools that are commonly used by researchers in the field but not previously published. The book will be useful to mathematicians as well as engineers and physical scientists. It can ...

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Numerical solution of partial differential equations, with exercises and worked solutions more books like this

by G. D. Smith

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Numerical Solution of Partial Differential Equations in Science and Engineering more books like this

by Leon Lapidus, George Francis Pinder

From the reviews of Numerical Solution of Partial Differential Equations in Science and Engineering: "The book by Lapidus and Pinder is a very comprehensive, even exhaustive, survey of the subject ...[It] is unique in that it covers equally finite difference and finite element methods."-Burrelle's. "The authors have selected an elementary (but not ...

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Stochastic and Differential Games: Theory and Numerical Methods more books like this

by Martino Bardi (Editor), T Parthasarathy (Editor), T E Raghavan (Editor)

This volume presents state-of-the-art surveys, new results, and algorithms that will interest applied mathematicians, control engineers, and operations research specialists. It covers such diverse topics as pursuit-evasion games, viscosity solutions, gambling theory, discounted stochastic games, optimal routing, numerical methods, and others. The ...

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Computational Electrodynamics the Finite-Difference Time-Domain Method more books like this

by Allen Taflove

This extensively revised and expanded third edition of the Artech House bestseller, Computational Electrodynamics: The Finite-Difference Time-Domain Method, offers engineers the most up-to-date and definitive resource on this critical method for solving Maxwell's equations. The method helps practitioners design antennas, wireless communications ...

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