Simultaneous Approximation of Function and Derivative on [0,∞] and an Application to Initial Value Problems
Convergence of the approximation of a class of functions defined on [0,∞] and their derivatives by exponomials and Laguerre functions is established. These results are used in the analysis of a new finite element type for initial value problems.
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- 2.J. C. Cavendish and C. A. Hall, “Blended Infinite Elements for Parabolic Boundary Value Problems,” General Motors Research Publication GMR-121, 1977.Google Scholar
- 3.J. C. Cavendish, C. A. Hall and 0. C. Zienkiewicz, “Blended Infinite Elements for Parabolic Boundary Value Problems,” Int. J. Num. Meth. Engg. (to appear).Google Scholar
- 4.J. C. Cavendish, C. A. Hall and T. A. Porsching, “Galerkin Approximations for Initial Value Problems with Known End Time Conditions,” submitted for publication.Google Scholar
- 8.H. S. Price and R. S. Varga, “Error Bounds for Semidiscrete Galerkin Approximations of Parabolic Problems with Applications to Petroleum Reservoir Mechanics,” in Numerical Solution of Field Problems in Continuum Physics, SIAM-AMS Proc. II, AMS, 1970.Google Scholar
- 9.M. H. Stone, “A Generalized Weierstrass Approximation Theorem,” in Studies in Modern Analysis, 1, R. C. Buck, ed., MAA-Prentice-Hall, Englewood Cliffs, NJ, 1962.Google Scholar