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
DOWNLOAD EBOOKPosts
Chebyshev and Fourier Spectral Methods
Author: John P. Boyd
Publisher: Courier Corporation
Published: 2013-06-05
Total Pages: 690
ISBN-13: 0486141926
DOWNLOAD EBOOKCompletely revised text focuses on use of spectral methods to solve boundary value, eigenvalue, and time-dependent problems, but also covers Hermite, Laguerre, rational Chebyshev, sinc, and spherical harmonic functions, as well as cardinal functions, linear eigenvalue problems, matrix-solving methods, coordinate transformations, methods for unbounded intervals, spherical and cylindrical geometry, and much more. 7 Appendices. Glossary. Bibliography. Index. Over 160 text figures.
Galerkin Finite Element Methods for Parabolic Problems
Author: Vidar Thomee
Publisher: Springer Science & Business Media
Published: 2007-06-25
Total Pages: 376
ISBN-13: 3540331220
DOWNLOAD EBOOKThis book provides insight into the mathematics of Galerkin finite element method as applied to parabolic equations. The revised second edition has been influenced by recent progress in application of semigroup theory to stability and error analysis, particulatly in maximum-norm. Two new chapters have also been added, dealing with problems in polygonal, particularly noncovex, spatial domains, and with time discretization based on using Laplace transformation and quadrature.
The Finite Element Method for Solid and Structural Mechanics
Author: O. C. Zienkiewicz
Publisher: Elsevier
Published: 2005-08-09
Total Pages: 653
ISBN-13: 0080455581
DOWNLOAD EBOOKThis is the key text and reference for engineers, researchers and senior students dealing with the analysis and modelling of structures – from large civil engineering projects such as dams, to aircraft structures, through to small engineered components. Covering small and large deformation behaviour of solids and structures, it is an essential book for engineers and mathematicians. The new edition is a complete solids and structures text and reference in its own right and forms part of the world-renowned Finite Element Method series by Zienkiewicz and Taylor. New material in this edition includes separate coverage of solid continua and structural theories of rods, plates and shells; extended coverage of plasticity (isotropic and anisotropic); node-to-surface and 'mortar' method treatments; problems involving solids and rigid and pseudo-rigid bodies; and multi-scale modelling. - Dedicated coverage of solid and structural mechanics by world-renowned authors, Zienkiewicz and Taylor - New material including separate coverage of solid continua and structural theories of rods, plates and shells; extended coverage for small and finite deformation; elastic and inelastic material constitution; contact modelling; problems involving solids, rigid and discrete elements; and multi-scale modelling
Systems of Nonlinear Partial Differential Equations
Author: A.W. Leung
Publisher: Springer Science & Business Media
Published: 2013-03-09
Total Pages: 416
ISBN-13: 9401539375
DOWNLOAD EBOOK'Et moi ..., si j'avait su comment en reveru.r, One service mathematics has rendered the je n'y scrais point aIle.' human race. It has put common sense back Jules Verne where it belongs, on the topmost shelf next to the dusty canister labelled 'discarded non The series is divergent; therefore we may be sense'. Eric T. Bell able to do something with it. o. Heaviside Mathematics is a tool for thought. A highly necessary tool in a world where both feedback and non linearities abound. Similarly, all kinds of parts of mathematics serve as tools for other parts and for other sciences. Applying a simple rewriting rule to the quote on the right above one finds such statements as: 'One service topology has rendered mathematical physics .. .'; 'One service logic has rendered com puter science .. .'; 'One service category theory has rendered mathematics .. .'. All arguably true. And all statements obtainable this way form part of the raison d'etre of this series.
Hyperbolicity
Author: Giuseppe Da Prato
Publisher: Springer Science & Business Media
Published: 2013-01-23
Total Pages: 235
ISBN-13: 364211105X
DOWNLOAD EBOOKLectures: J. Chazarain, A. Piriou: Problèmes mixtes hyperboliques: Première partie: Les problèmes mixtes hyperboliques vérifiant 1a condition de Lopatinski uniforme; Deuxième partie: Propagation et réflexion des singularités.- L. Gårding: Introduction to hyperbolicity.- T. Kato: Linear and quasi-linear equations of evolution of hyperbolic type.- K.W. Morton: Numerical methods for non-linear hyperbolic equations of mathematical physics.- Seminars: H. Brezis: First-order quasilinear equation on a torus.
Adaptive Methods for Partial Differential Equations
Author: Ivo Babushka
Publisher: SIAM
Published: 1989-01-01
Total Pages: 382
ISBN-13: 9780898712421
DOWNLOAD EBOOK"Proceedings of the Workshop on Adaptive Computational Methods for Partial Differential Equations, Rensselaer Polytechnic Institute, October 13-15, 1988"--T.p. verso.
Variational Methods for Eigenvalue Approximation
Author: H. F. Weinberger
Publisher: SIAM
Published: 1974-01-01
Total Pages: 165
ISBN-13: 9781611970531
DOWNLOAD EBOOKProvides a common setting for various methods of bounding the eigenvalues of a self-adjoint linear operator and emphasizes their relationships. A mapping principle is presented to connect many of the methods. The eigenvalue problems studied are linear, and linearization is shown to give important information about nonlinear problems. Linear vector spaces and their properties are used to uniformly describe the eigenvalue problems presented that involve matrices, ordinary or partial differential operators, and integro-differential operators.
Handbook of Splines
Author: Gheorghe Micula
Publisher: Springer Science & Business Media
Published: 2012-12-06
Total Pages: 622
ISBN-13: 9401153388
DOWNLOAD EBOOKThe purpose of this book is to give a comprehensive introduction to the theory of spline functions, together with some applications to various fields, emphasizing the significance of the relationship between the general theory and its applications. At the same time, the goal of the book is also to provide new ma terial on spline function theory, as well as a fresh look at old results, being written for people interested in research, as well as for those who are interested in applications. The theory of spline functions and their applications is a relatively recent field of applied mathematics. In the last 50 years, spline function theory has undergone a won derful development with many new directions appearing during this time. This book has its origins in the wish to adequately describe this development from the notion of 'spline' introduced by 1. J. Schoenberg (1901-1990) in 1946, to the newest recent theories of 'spline wavelets' or 'spline fractals'. Isolated facts about the functions now called 'splines' can be found in the papers of L. Euler, A. Lebesgue, G. Birkhoff, J.
