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Online ISSN 1552-4485; Print ISSN 0033-569X
The construction of difference approximations from a “sensitized functional"
Author:
A. K. Rigler
Journal:
Quart. Appl. Math. 26 (1968), 288-290
DOI:
https://doi.org/10.1090/qam/99852
MathSciNet review:
QAM99852
Full-text PDF Free Access
Abstract | References | Additional Information
Abstract: A technique from the calculus of variations is used to derive higher order difference approximations.
- Mahmut Tanrikulu and William Prager, On the construction of Hermitian from Lagrangian difference approximations, Quart. Appl. Math. 24 (1967), 371–373. MR 218035, DOI https://doi.org/10.1090/S0033-569X-1967-0218035-2
- Bernd Meister and William Prager, On the construction of symmetric difference operators for square and cubic lattices, Z. Angew. Math. Phys. 16 (1965), 403–410 (English, with German summary). MR 186955, DOI https://doi.org/10.1007/BF01591920 J. H. Bramble and B. E. Hubbard, New monotone approximations for elliptic problems, Math. of Comp. XVIII, 349–367 (1964)
- M. Engeli, Th. Ginsburg, H. Rutishauser, and E. Stiefel, Refined iterative methods for computation of the solution and the eigenvalues of self-adjoint boundary value problems, Mitt. Inst. Angew. Math. Zürich 8 (1959), 107. MR 145689 R. Courant, Uber ein konvergenzerzeugendes Prinzip in der Variationsrechnung, Gottingen Ges. d. Wissensch., 144-150 (1922)
- R. Courant, Variational methods for the solution of problems of equilibrium and vibrations, Bull. Amer. Math. Soc. 49 (1943), 1–23. MR 7838, DOI https://doi.org/10.1090/S0002-9904-1943-07818-4
- Richard Courant, Remarks about the Rayleigh-Ritz method, Boundary problems in differential equations, Univ. of Wisconsin Press, Madison, 1960, pp. 273–277. MR 0117889
Additional Information
Article copyright:
© Copyright 1968
American Mathematical Society