Numerical Solution of Field Problems in Continuum Physics
Author: Society for Industrial and Applied Mathematics
Publisher: American Mathematical Soc.
Published: 1970
Total Pages: 294
ISBN-13: 9780821813218
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Numerical and Computer Methods in Structural Mechanics
Author: Steven J. Fenves
Publisher: Elsevier
Published: 2014-05-10
Total Pages: 698
ISBN-13: 1483272540
DOWNLOAD EBOOKNumerical and Computer Methods in Structural Mechanics is a compendium of papers that deals with the numerical methods in structural mechanics, computer techniques, and computer capabilities. Some papers discus the analytical basis of the computer technique most widely used in software, that is, the finite element method. This method includes the convergence (in terms of variation principles) isoparametrics, hybrid models, and incompatible displacement models. Other papers explain the storage or retrieval of data, as well as equation-solving algorithms. Other papers describe general-purpose structural mechanics programs, alternatives to, and extension of the usual finite element approaches. Another paper explores nonlinear, dynamic finite element problems, and a direct physical approach to determine finite difference models. Special papers explain structural mechanics used in computing, particularly, those related to integrated data bases, such as in the Structures Oriented Exchange System of the Office of Naval Research and the integrated design of tanker structures. Other papers describe software and hardware capabilities, for example, in ship design, fracture mechanics, biomechanics, and crash safety. The text is suitable for programmers, computer engineers, researchers, and scientists involved in materials and industrial design.
The Numerical Solution of Elliptic Equations
Author: Garrett Birkhoff
Publisher: SIAM
Published: 1971-01-01
Total Pages: 100
ISBN-13: 9780898710014
DOWNLOAD EBOOKA concise survey of the current state of knowledge in 1972 about solving elliptic boundary-value eigenvalue problems with the help of a computer. This volume provides a case study in scientific computing?the art of utilizing physical intuition, mathematical theorems and algorithms, and modern computer technology to construct and explore realistic models of problems arising in the natural sciences and engineering.
Numerical Solution of Elliptic Problems
Author: Garrett Birkhoff
Publisher: SIAM
Published: 1984-01-01
Total Pages: 330
ISBN-13: 9781611970869
DOWNLOAD EBOOKA study of the art and science of solving elliptic problems numerically, with an emphasis on problems that have important scientific and engineering applications, and that are solvable at moderate cost on computing machines.
Numerical Solution of Partial Differential Equations—II, Synspade 1970
Author: Bert Hubbard
Publisher: Academic Press
Published: 2014-05-10
Total Pages: 660
ISBN-13: 1483262480
DOWNLOAD EBOOKNumerical Solution of Partial Differential Equations—II: Synspade 1970 provides information pertinent to the fundamental aspects of partial differential equations. This book covers a variety of topics that range from mathematical numerical analysis to numerical methods applied to problems in mechanics, meteorology, and fluid dynamics. Organized into 18 chapters, this book begins with an overview of the methods of the Rayleigh–Ritz–Galerkin type for the approximation of boundary value problems using spline basis functions and Sobolev spaces. This text then analyzes a special approach aimed at solving elliptical equations. Other chapters consider the approximation theoretic study of special sets of approximating functions. This book discusses as well combining the alternating-direction methods with Galerkin methods to obtain highly efficient procedures for the numerical solution of second order parabolic and hyperbolic problems. The final chapter deals with the results concerning Chebyshev rational approximations of reciprocals of certain entire functions. This book is a valuable resource for mathematicians.
Conference on the Numerical Solution of Differential Equations
Author: G.A. Watson
Publisher: Springer
Published: 2006-11-15
Total Pages: 235
ISBN-13: 3540379142
DOWNLOAD EBOOKNumerical Solution of Partial Differential Equations in Science and Engineering
Author: Leon Lapidus
Publisher: John Wiley & Sons
Published: 1999-07-08
Total Pages: 710
ISBN-13: 0471359440
DOWNLOAD EBOOKFrom 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.
Numerical Analysis of Spectral Methods
Author: David Gottlieb
Publisher: SIAM
Published: 1977-01-01
Total Pages: 175
ISBN-13: 9781611970425
DOWNLOAD EBOOKA unified discussion of the formulation and analysis of special methods of mixed initial boundary-value problems. The focus is on the development of a new mathematical theory that explains why and how well spectral methods work. Included are interesting extensions of the classical numerical analysis.
Functional Analysis and Approximation Theory in Numerical Analysis
Author: R. S. Varga
Publisher: SIAM
Published: 1971-01-01
Total Pages: 81
ISBN-13: 0898710030
DOWNLOAD EBOOKSurveys the enormous literature on numerical approximation of solutions of elliptic boundary problems by means of variational and finite element methods, requiring almost constant application of results and techniques from functional analysis and approximation theory to the field of numerical analysis.
