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Regularization of difference schemes
USSR Computational Mathematics and Mathematical Physics, 1967Abstract WE examine the possibilities of transforming or regularizing schemes in such a way that the new schemes are stable and satisfy auxiliary requirements as regards accuracy and economy. Difference schemes are treated as operator equations in real linear normed space [1, 2].
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1983
We consider a general system of conservation laws $$ {{u}_{t}}{\text{ + }}f{{(u)}_{x}} = 0,\quad x \in R,\;\quad t > 0, $$ (19.1) where u = (u 1,⋯,u n), with initial data $$ u(x,0) = {{u}_{0}}(x),\quad x \in R. $$ (19.2) The system (19.1) is assumed to be hyperbolic and genuinely nonlinear in each characteristic field, in some open ...
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We consider a general system of conservation laws $$ {{u}_{t}}{\text{ + }}f{{(u)}_{x}} = 0,\quad x \in R,\;\quad t > 0, $$ (19.1) where u = (u 1,⋯,u n), with initial data $$ u(x,0) = {{u}_{0}}(x),\quad x \in R. $$ (19.2) The system (19.1) is assumed to be hyperbolic and genuinely nonlinear in each characteristic field, in some open ...
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The stability of difference schemes
USSR Computational Mathematics and Mathematical Physics, 1985Translation from Zh. Vychisl. Mat. Mat. Fiz. 25, No.6, 827-840 (Russian) (1985; Zbl 0586.65070).
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2020
Due to its relative simplicity, finite-difference (FD) analysis was historically the first numerical technique for boundary value problems in mathematical physics.
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Due to its relative simplicity, finite-difference (FD) analysis was historically the first numerical technique for boundary value problems in mathematical physics.
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Difference schemes on “oblique” nets
USSR Computational Mathematics and Mathematical Physics, 1965Samarskij, A. A., Gulin, A. V.
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On the Construction and Comparison of Difference Schemes
SIAM Journal on Numerical Analysis, 1968openaire +2 more sources
On the stability of “oblique” difference schemes
USSR Computational Mathematics and Mathematical Physics, 1963openaire +1 more source
On the stability of difference schemes
Communications on Pure and Applied Mathematics, 1962Lax, Peter D., Wendroff, B.
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Construction of Orthogonal Arrays of Strength Three by Augmented Difference Schemes
Discrete Mathematics, 2022Xiao Zhang, Shanqi Pang, Guangzhou Chen
exaly
A difference scheme for stefan's problem
USSR Computational Mathematics and Mathematical Physics, 1975openaire +2 more sources