The Theory of Difference Schemes

By A. A. Samarskii, VD Radulescu. 2001

2,315 citations recorded by the source corpus.

Subfields: Applied Mathematics, Numerical Analysis

View Paper: https://www.semanticscholar.org/paper/7556d34e8a7fe4525b4302a10e6ad3c3de444873

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In Applied Mathematics

In Numerical Analysis

Citations in the corpus

SCIATRAN 2.0 – A new radiative transfer model for geophysical applications in the 175–2400 nm spectral region (2004, methodology): “, 1997) or the finite element approach (Samarskij, 2002) can be used in the framework of the SCIATRAN 2.”
An inverse coefficient problem for a parabolic equation in the case of nonlocal boundary and overdetermination conditions (2011, methodology): “The following notations will be used on techniques in [7]:”
Characterization of nonlinear optical parameters of KDP, LiNbO3 and BBO crystals (2004, neutral): “In our numerical simulations we used the difference scheme for calculation of differential equations describing field distribution change in the sample due to the self-action effects [17].”
A survey on stationary problems, Green’s functions and spectrum of Sturm–Liouville problem with nonlocal boundary conditions (2014, methodology): “We can find Green’s functions for problems with difference operator in the books of Samarskii and Nikolaev [172, 173] and the textbook of Bahvalov, Zhidkov and Kobel’kov [9].”
Iterative method for solving the Neumann boundary value problem for biharmonic type equation (2006, methodology): “In order to investigate the convergence of the iterative process (12)–(14), firstly we rewrite (14) in the canonical form of two-layer iterative scheme [12] (k+1) − (k) k+1 + ( (k) + u) = 0.”
Mimetic finite difference method (2014, background): “The most comprehensive presentation of this theory is in [229] [230] [233] [234]; see also [231], the English translation of [230].”