By Subject > Science and Mathematics > Mathematics > Real and Complex Analysis > 2 > Approximation of Elliptic Boundary-Value Problems Approximation of Elliptic Boundary-Value Problems Author: Jean-Pierre Aubin Retail Price: $19.95 Availability: In Stock Format: Pages: 384 Dimensions: 5 3/8 x 8 1/2 ISBN: 0486457915 EAN: 978-0-486-45791-8 A marriage of the finite-differences method with variational methods for solving boundary-value problems, the finite-element method is superior in many ways to finite-differences alone. This self-contained text for advanced undergraduates and graduate students is intended to imbed this combination of methods into the framework of functional analysis and to explain its applications to approximation of nonhomogeneous boundary-value problems for elliptic operators. The treatment begins with a summary of the main results established in the book. Chapter 1 introduces the variational method and the finite-difference method in the simple case of second-order differential equations. Chapters 2 and 3 concern abstract approximations of Hilbert spaces and linear operators, and Chapters 4 and 5 study finite-element approximations of Sobolev spaces. The remaining four chapters consider several methods for approximating nonhomogeneous boundary-value problems for elliptic operators. Reprint of the Robert Krieger Publishing Company, Huntington, New York, 1980 reprint of the original John Wiley edition. Ready to Buy? Add this to your cart (you can always remove it later.) Shopping here is Guaranteed Safe! Here's a sample of other Dover titles that may interest your customers. Applied Functional Analysis by D.H. Griffel This introductory text examines applications of functional analysis to mechanics, fluid mechanics, diffusive growth, and approximation. Covers distribution theory, Banach spaces, Hilbert space, spectral theory, Frechet calculus, Sobolev spaces, more. 1985 edition. read more $22.95 Elements of the Theory of Functions and Functional Analysis by A. N. Kolmogorov S. V. Fomin Advanced-level text, now available in a single volume, discusses metric and normed spaces, continuous curves in metric spaces, measure theory, Lebesque intervals, Hilbert space, more. Exercises. 1957 edition. read more $19.95 Functional Analysis: Theory and Applications by R.E. Edwards Massive compilation offers detailed, in-depth discussions of vector spaces, Hahn-Banach theorem, fixed-point theorems, duality theory, Krein-Milman theorem, theory of compact operators, much more. Many examples and exercises. 32-page bibliography. 1965 edition. read more $49.95 Fourier Transforms by Ian N. Sneddon Focusing on applications of Fourier transforms and related topics rather than theory, this accessible treatment is suitable for students and researchers interested in boundary value problems of physics and engineering. 1951 edition. read more $19.95