Электронная книга: Vitoriano Ruas «Numerical Methods for Partial Differential Equations. An Introduction»

Numerical Methods for Partial Differential Equations. An Introduction

Numerical Methods for Partial Differential Equations: An Introduction Vitoriano Ruas, Sorbonne Universités, UPMC – Université Paris 6, France A comprehensive overview of techniques for the computational solution of PDE's Numerical Methods for Partial Differential Equations: An Introduction covers the three most popular methods for solving partial differential equations: the finite difference method, the finite element method and the finite volume method. The book combines clear descriptions of the three methods, their reliability, and practical implementation aspects. Justifications for why numerical methods for the main classes of PDE's work or not, or how well they work, are supplied and exemplified. Aimed primarily at students of Engineering, Mathematics, Computer Science, Physics and Chemistry among others this book offers a substantial insight into the principles numerical methods in this class of problems are based upon. The book can also be used as a reference for research work on numerical methods for PDE’s. Key features: A balanced emphasis is given to both practical considerations and a rigorous mathematical treatment The reliability analyses for the three methods are carried out in a unified framework and in a structured and visible manner, for the basic types of PDE's Special attention is given to low order methods, as practitioner's overwhelming default options for everyday use New techniques are employed to derive known results, thereby simplifying their proof Supplementary material is available from a companion website.

Издательство: "John Wiley&Sons Limited"

ISBN: 9781119111375

электронная книга

Купить за 6593.45 руб и скачать на Litres

Другие книги схожей тематики:

АвторКнигаОписаниеГодЦенаТип книги
Richard BernatzFourier Series and Numerical Methods for Partial Differential EquationsThe importance of partial differential equations (PDEs) in modeling phenomena in engineering as well as in the physical, natural, and social sciences is well known by students and practitioners in… — @John Wiley&Sons Limited, @ @ @ @ Подробнее...
9053.5электронная книга
S. Lui HNumerical Analysis of Partial Differential EquationsA balanced guide to the essential techniques for solving elliptic partial differential equations Numerical Analysis of Partial Differential Equations provides a comprehensive, self-contained… — @John Wiley&Sons Limited, @ @ @ @ Подробнее...
9912.02электронная книга
George Pinder F.Numerical Methods for Solving Partial Differential Equations. A Comprehensive Introduction for Scientists and EngineersA comprehensive guide to numerical methods for simulating physical-chemical systems This book offers a systematic, highly accessible presentation of numerical methods used to simulate the behavior of… — @John Wiley&Sons Limited (USD), @ @ @ @ Подробнее...
11707.11электронная книга
Heinz-Otto KreissIntroduction to Numerical Methods for Time Dependent Differential EquationsIntroduces both the fundamentals of time dependent differential equations and their numerical solutions Introduction to Numerical Methods for Time Dependent Differential Equations delves into the… — @John Wiley&Sons Limited, @ @ @ @ Подробнее...
7953.16электронная книга
Borm SteffenEfficient Numerical Methods for Non-Local OperatorsHierarchical matrices present an efficient way of treating dense matrices that arise in the context of integral equations, elliptic partial differential equations, and control theory. While a dense… — @Libri, @ @- @ @ Подробнее...2010
7921бумажная книга
Lennart EdsbergIntroduction to Computation and Modeling for Differential EquationsUses mathematical, numerical, and programming tools to solve differential equations for physical phenomena and engineering problems Introduction to Computation and Modeling for Differential… — @John Wiley&Sons Limited, @ @ @ @ Подробнее...
7717.99электронная книга
Snehashish ChakravertyFuzzy Arbitrary Order System. Fuzzy Fractional Differential Equations and ApplicationsPresents a systematic treatment of fuzzy fractional differential equations as well as newly developed computational methods to model uncertain physical problems Complete with comprehensive results… — @John Wiley&Sons Limited, @ @ @ @ Подробнее...
7717.99электронная книга
Pere ColetStochastic Numerical Methods. An Introduction for Students and ScientistsStochastic Numerical Methods introduces at Master level the numerical methods that use probability or stochastic concepts to analyze random processes. The book aims at being rather general and is… — @John Wiley&Sons Limited, @ @ @ @ Подробнее...
8802.98электронная книга
Stakgold IvarGreen's Functions and Boundary Value ProblemsPraise for the Second Edition«This book is an excellent introduction to the wide field of boundary value problems.»—Journal of Engineering Mathematics «No doubt this textbook will be useful for both… — @John Wiley&Sons Limited, @ @ @ @ Подробнее...
12331.49электронная книга
William Schiesser E.Method of Lines PDE Analysis in Biomedical Science and EngineeringPresents the methodology and applications of ODE and PDE models within biomedical science and engineering With an emphasis on the method of lines (MOL) for partial differential equation (PDE)… — @John Wiley&Sons Limited, @ @ @ @ Подробнее...
8879.91электронная книга
Frederic MagoulesParallel Scientific ComputingScientific computing has become an indispensable tool in numerous fields, such as physics, mechanics, biology, finance and industry. For example, it enables us, thanks to efficient algorithms adapted… — @John Wiley&Sons Limited, @ @ @ @ Подробнее...
9265.99электронная книга

См. также в других словарях:

  • Partial differential equation — A visualisation of a solution to the heat equation on a two dimensional plane In mathematics, partial differential equations (PDE) are a type of differential equation, i.e., a relation involving an unknown function (or functions) of several… …   Wikipedia

  • Monte Carlo methods for electron transport — The Monte Carlo method for electron transport is a semiclassical Monte Carlo(MC) approach of modeling semiconductor transport. Assuming the carrier motion consists of free flights interrupted by scattering mechanisms, a computer is utilized to… …   Wikipedia

  • numerical analysis — the branch of mathematics dealing with methods for obtaining approximate numerical solutions of mathematical problems. [1925 30] * * * Branch of applied mathematics that studies methods for solving complicated equations using arithmetic… …   Universalium

  • Numerical weather prediction — Weather models use systems of differential equations based on the laws of …   Wikipedia

  • Numerical relativity — is one of the branches of general relativity that uses numerical methods and algorithms to solve and analyze problems. To this end, supercomputers are often employed to study black holes, gravitational waves, neutron stars and many other… …   Wikipedia

  • Numerical integration — consists of finding numerical approximations for the value S In numerical analysis, numerical integration constitutes a broad family of algorithms for calculating the numerical value of a definite integral, and by extension, the term is also… …   Wikipedia

  • Numerical continuation — is a method of computing approximate solutions of a system of parameterized nonlinear equations, The parameter λ is usually a real scalar, and the solution an n vector. For a fixed parameter value λ,, maps Euclidean n space into itself. Often the …   Wikipedia

  • Numerical analysis — Babylonian clay tablet BC 7289 (c. 1800–1600 BC) with annotations. The approximation of the square root of 2 is four sexagesimal figures, which is about six decimal figures. 1 + 24/60 + 51/602 + 10/603 = 1.41421296...[1] Numerical analysis is the …   Wikipedia

  • Differential geometry of surfaces — Carl Friedrich Gauss in 1828 In mathematics, the differential geometry of surfaces deals with smooth surfaces with various additional structures, most often, a Riemannian metric. Surfaces have been extensively studied from various perspectives:… …   Wikipedia

  • Runge–Kutta methods — In numerical analysis, the Runge–Kutta methods (pronounced IPA|/ˌʀuŋgeˈkuta/) are an important family of implicit and explicit iterative methods for the approximation of solutions of ordinary differential equations. These techniques were… …   Wikipedia

  • Maxwell's equations — For thermodynamic relations, see Maxwell relations. Electromagnetism …   Wikipedia

Поделиться ссылкой на выделенное

Прямая ссылка:
Нажмите правой клавишей мыши и выберите «Копировать ссылку»