Accession Number : AD0852681

Title :   Lecture Series in Differential Equations. Session 8. Numerical Solutions.

Descriptive Note : Scientific rept.,

Corporate Author : GEORGETOWN UNIV WASHINGTON DC DEPT OF MATHEMATICS

Personal Author(s) : Brikhoff, G. ; Davis, P. J. ; Lax, P. D.

Report Date : MAY 1969

Pagination or Media Count : 94

Abstract : The Eighth Session, on Numerical Solutions, included lectures by G. Brikhoff, P. J. Davis and P. D. Lax. Professor Birkhoff's lecture was entitled 'Numerical Solution of Elliptic Equations.' He discussed various examples of how typical elliptic boundary value problems are approached for numerical solution and indicated new approaches using Hermitian and spline interpolation. Professor Davis discussed approximate integration rules with non-negative weights. He considered rules of approximate integration of the form the integral over S of f du = Summation from i=1 to i=N of (w sub i) f (P sub i), where the points P sub i are the abscissas of the rule and the constants W sub i are the weights. Professor Lax discussed toeplitz operators and gave a simplified derivation of basic results of the theory of matrix Wiener-Hopf (Toeplitz) operators along with an important application. (Author)

Descriptors :   *NUMERICAL ANALYSIS), (*PARTIAL DIFFERENTIAL EQUATIONS, (*NUMERICAL INTEGRATION, APPROXIMATION(MATHEMATICS)), BOUNDARY VALUE PROBLEMS, FOURIER ANALYSIS, INTEGRAL TRANSFORMS, VECTOR SPACES, CONVEX SETS, INEQUALITIES, OPERATORS(MATHEMATICS), ANALYTIC FUNCTIONS, INTERPOLATION, SERIES(MATHEMATICS), THEOREMS, SYMPOSIA.

Subject Categories : Theoretical Mathematics

Distribution Statement : APPROVED FOR PUBLIC RELEASE