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Symbolic & Numeric Computation


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Transform Methods for Solving Partial Differential Equations, Second Edition

Transform Methods for Solving Partial Differential Equations, Second Edition

Dean G. Duffy
July 15, 2004

Transform methods provide a bridge between the commonly used method of separation of variables and numerical techniques for solving linear partial differential equations. While in some ways similar to separation of variables, transform methods can be effective for a wider class of problems. Even...

Numerical Solutions for Partial Differential Equations: Problem Solving Using Mathematica

Numerical Solutions for Partial Differential Equations: Problem Solving Using Mathematica

Victor Grigor'e Ganzha, Evgenii Vasilev Vorozhtsov
July 12, 1996

Partial differential equations (PDEs) play an important role in the natural sciences and technology, because they describe the way systems (natural and other) behave. The inherent suitability of PDEs to characterizing the nature, motion, and evolution of systems, has led to their wide-ranging use...

Conservative Finite-Difference Methods on General Grids

Conservative Finite-Difference Methods on General Grids

Mikhail Shashkov
December 05, 1995

This new book deals with the construction of finite-difference (FD) algorithms for three main types of equations: elliptic equations, heat equations, and gas dynamic equations in Lagrangian form. These methods can be applied to domains of arbitrary shapes. The construction of FD algorithms for all...

Elliptic Marching Methods and Domain Decomposition

Elliptic Marching Methods and Domain Decomposition

Patrick J. Roache
June 29, 1995

One of the first things a student of partial differential equations learns is that it is impossible to solve elliptic equations by spatial marching. This new book describes how to do exactly that, providing a powerful tool for solving problems in fluid dynamics, heat transfer, electrostatics, and...

An Introduction to Boundary Element Methods

An Introduction to Boundary Element Methods

Prem K. Kythe
April 13, 1995

The finite element and the boundary element methods are the two most important developments in numerical mathematics to occur in this century. Many engineering and mathematics graduate curricula now include a course in boundary element methods. Such a course must cover numerical methods, basic...

A Numerical Library in C for Scientists and Engineers

A Numerical Library in C for Scientists and Engineers

Hang T. Lau
November 23, 1994

This extensive library of computer programs-written in C language-allows readers to solve numerical problems in areas of linear algebra, ordinary and partial differential equations, optimization, parameter estimation, and special functions of mathematical physics.The library is based on NUMAL, the...

Computational Mathematics in Engineering and Applied Science: ODEs, DAEs, and PDEs

Computational Mathematics in Engineering and Applied Science: ODEs, DAEs, and PDEs

W.E. Schiesser
October 25, 1993

Computational Mathematics in Engineering and Applied Science provides numerical algorithms and associated software for solving a spectrum of problems in ordinary differential equations (ODEs), differential algebraic equations (DAEs), and partial differential equations (PDEs) that occur in science...

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