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Found 21 Documents (Results 1–21)

A two-sided FD-method for the Dirichlet problem for the Helmholtz equation. (English. Russian original) Zbl 0937.65124

Differ. Equations 35, No. 3, 391-398 (1999); translation from Differ. Uravn. 35, No. 3, 388-395 (1999).
MSC:  65N35 65N15 35J05
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Difference schemes for the Dirichlet problem for an elliptic equation with discontinuous coefficients in an arbitrary region on a regular grid. (English. Russian original) Zbl 0723.65082

J. Sov. Math. 54, No. 2, 747-751 (1991); translation from Vychisl. Prikl. Mat., Kiev 56, 3-7 (1985).
MSC:  65N12 65N06 35J25
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Rate-of-convergence bounds of a finite-difference approximation of the Dirichlet problem for the Helmholtz equation with a coefficient from the “negative” space. (English. Russian original) Zbl 0837.65115

J. Math. Sci., New York 71, No. 4, 2531-2538 (1994); translation from Vychisl. Prikl. Mat. 72, 3-11 (1990).
MSC:  65N12 65N06 35J05
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Estimates of the convergence rate of difference approximations of the Dirichlet problem for the equation \(-\Delta u+\sum _{|\alpha|\leq 1}(-1)^{|\alpha|}D^{\alpha}q_{\alpha}(x)u=f(x)\) when \(q_{\alpha}(x)\in W_{\infty}^{\lambda|\alpha|}(\Omega)\), \(\lambda\in (0,1]\). (English. Russian original) Zbl 0671.65081

Differ. Equations 24, No. 11, 1338-1344 (1988); translation from Differ. Uravn. 24, No. 11, 1987-1994 (1988).
MSC:  65N12 65N15 35J05
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Compatible convergence-rate estimates of the mesh method for the axisymmetric Poisson equation in spherical coordinates. (English. Russian original) Zbl 0664.65099

U.S.S.R. Comput. Math. Math. Phys. 27, No. 4, 195-197 (1987); translation from Zh. Vychisl. Mat. Mat. Fiz. 27, No. 8, 1252-1255 (1987).
MSC:  65N12 35J05
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Matched estimates of the rate of convergence of the net method for Poisson’s equation in polar coordinates. (English. Russian original) Zbl 0655.65111

U.S.S.R. Comput. Math. Math. Phys. 27, No. 3, 147-152 (1987); translation from Zh. Vychisl. Mat. Mat. Fiz. 27, No. 6, 867-874 (1987).
MSC:  65N15 65N12 35J05
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Estimation of the convergence rate of difference solutions to generalized solutions of the Dirichlet problem for the Helmholtz equation of class \(\overset\circ W^ 1_ 2(\Omega)\) in a convex domain. (English. Russian original) Zbl 0607.65059

Ukr. Math. J. 38, 88-90 (1986); translation from Ukr. Mat. Zh. 38, No. 1, 98-101 (1986).
MSC:  65N12 65N06 35J05
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Estimation of the rate of convergence of difference schemes for quasilinear fourth order elliptic equations. (English. Russian original) Zbl 0606.65068

U.S.S.R. Comput. Math. Math. Phys. 25, No. 6, 90-92 (1985); translation from Zh. Vychisl. Mat. Mat. Fiz. 25, No. 11, 1725-1729 (1985).
MSC:  65N12 65N06 35J65
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Difference schemes of second-order precision for the axially symmetric Poisson equation on generalized solutions in \(W_2^2\). (English. Russian original) Zbl 0488.65041

Sov. Math., Dokl. 25, 15-19 (1982); translation from Dokl. Akad. Nauk SSSR 262, 22-26 (1982).
MSC:  65N12 65N15 35J05
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