PDE2D
swMATH ID:  4270 
Software Authors:  Fitzgerald, Rosa M.; Sewell, Granville 
Description:  The numerical solution of ordinary and partial differential equations. The Second Edition of this popular text provides an insightful introduction to the use of finite difference and finite element methods for the computational solution of ordinary and partial differential equations. Readers gain a thorough understanding of the theory underlying themethods presented in the text. The author emphasizes the practical steps involved in implementing the methods, culminating in readers learning how to write programs using FORTRAN90 and MATLAB(r) to solve ordinary and partial differential equations.par The book begins with a review of direct methods for the solution of linear systems, with an emphasis on the special features of the linear systems that arise when differential equations are solved. The following four chapters introduce and analyze the more commonly used finite difference methods for solving a variety of problems, including ordinary and partial differential equations and initial value and boundary value problems. The techniques presented in these chapters, with the aid of carefully developed exercises and numerical examples, can be easilymastered by readers.par The final chapter of the text presents the basic theory underlying the finite element method. Following the guidance offered in this chapter, readers gain a solid understanding of the method and discover how to use it to solve many problems.par A special feature of the Second Edition is Appendix A, which describes a finite element program, PDE2D, developed by the author. Readers discover how PDE2D can be used to solve difficult partial differential equation problems, including nonlinear timedependent and steadystate systems, and linear eigenvalue systems in 1D intervals, general 2D regions, and a wide range of simple 3D regions. The software itself is available to instructors who adopt the text to share with their students. 
Homepage:  http://www.pde2d.com 
Keywords:  differential equations; numerical solution; finite differences; finite elements; initial value problems; boundary value problems; textbook; convergence; algorithms; FORTRAN 90 programs; explicit and implicit onestep and multistep methods; line methods; hyperbolic transport and wave equations; package PDE2D 
Related Software:  ODEPACK; Matlab; nag; NAG; GitHub; EnKF; WAVEGIDE; IMSL Numerical Libraries; EISPACK; gnuplot; ma2dfc; MUMPS; TWODEPEP; KELLEY; AutoMOTGen; HSolver; RSOLVER; SMV; PHAVer; HySAT 
Cited in:  49 Publications 
Standard Articles
2 Publications describing the Software, including 2 Publications in zbMATH  Year 

Solving partial differential equation applications with PDE2D. Zbl 1406.35002 Sewell, Granville 
2018

Solving PDEs in nonrectangular 3D regions using a collocation finite element method. Zbl 1187.65130 Sewell, Granville 
2010

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Cited by 72 Authors
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Cited in 25 Serials
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