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Numerical solution of symmetric positive differential equations. (English) Zbl 0176.15203


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[1] K. O. Friedrichs, Symmetric positive linear differential equations, Comm. Pure Appl. Math. 11 (1958), 333 – 418. · Zbl 0083.31802 · doi:10.1002/cpa.3160110306
[2] C. K. Chu, Type-Insensitive Finite Difference Schemes, Ph.D. Thesis, New York University, 1958.
[3] T. Katsanis, Numerical Techniques for the Solution of Symmetric Positive Linear Differential Equations, Ph.D. Thesis, Case Institute of Technology, 1967. · Zbl 0176.15203
[4] Richard S. Varga, Matrix iterative analysis, Prentice-Hall, Inc., Englewood Cliffs, N.J., 1962. · Zbl 0133.08602
[5] R. H. Macneal, An asymmetrical finite difference network, Quart. Math. Appl. 11 (1953), 295 – 310. · Zbl 0053.26304
[6] Samuel Schechter, Quasi-tridiagonal matrices and type-insensitive difference equations., Quart. Appl. Math. 18 (1960/1961), 285 – 295. · Zbl 0097.32902
[7] Jean Céa, Approximation variationnelle des problèmes aux limites, Ann. Inst. Fourier (Grenoble) 14 (1964), no. fasc. 2, 345 – 444 (French). · Zbl 0127.08003
[8] Angus E. Taylor, Introduction to functional analysis, John Wiley & Sons, Inc., New York; Chapman & Hall, Ltd., London, 1958. · Zbl 0081.10202
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