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 simplistic)
mode of presentation. Many different computational schemes are
described in great detail . . . Numerous practical examples and
applications are described from beginning to the end, often with
calculated results given.’
Mathematics of Computing
‘This volume . . . devotes its considerable number of pages to
lucid developments of the methods [for solving partial differential
equations] . . . the writing is very polished and I found it a
pleasure to read!’
Mathematics of Computation
Of related interest . . .
NUMERICAL ANALYSIS FOR APPLIED SCIENCE Myron B. Allen and
Eli L. Isaacson. A modern, practical look at numerical analysis,
this book guides readers through a broad selection of numerical
methods, implementation, and basic theoretical results, with an
emphasis on methods used in scientific computation involving
differential equations. 1997 (0-471-55266-6) 512 pp.
APPLIED MATHEMATICS Second Edition, J. David Logan.
Presenting an easily accessible treatment of mathematical methods
for scientists and engineers, this acclaimed work covers fluid
mechanics and calculus of variations as well as more modern
methods-dimensional analysis and scaling, nonlinear wave
propagation, bifurcation, and singular perturbation. 1996
(0-471-16513-1) 496 pp.
Table of Content
Fundamental Concepts.
Basic Concepts in the Finite Difference and Finite Element
Methods.
Finite Elements on Irregular Subspaces.
Parabolic Partial Differential Equations.
Elliptic Partial Differential Equations.
Hyperbolic Partial Differential Equations.
Index.
About the author
Leon Lapidus was an American chemist and chemical engineer, the chairman of the department of chemical engineering at Princeton University, a member of the National Academy of Engineering, an author of over a 100 technical publications. George F. Pinder is the author of Numerical Solution of Partial Differential Equations in Science and Engineering, published by Wiley.
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