Difference generalized poincaré-steklov operators and potentials with densities from a jump space

Computational Mathematics and Mathematical Physics

Volumn 39, Issue 8, 1999, Pages 1275-1282

  Kamenetskii, D S ^a  

^a KELDYSH INSTITUTE OF APPLIED MATHEMATICS   (Russian Federation)

Author keywords

[No Author keywords available]

Indexed keywords

EID: 0347370457     PISSN: 09655425     EISSN: 15556662     Source Type: Journal    
DOI: None     Document Type: Article

References (8)

1. Ryaben'kii, V.S., Potentials for General Linear Systems of Difference Equations on Abstract Grids, Zh. Vychisl. Mat. Mat. Fiz., 1996, vol. 36, no. 4, pp. 41-49.
2. Kamenetskii, D.S., Difference Potentials and Parameterization of Solutions to Homogeneous Difference Equations, Zh. Vychisl. Mat. Mat. Fiz., 1998, vol. 38, no. 11, pp. 1829-1843.
3. Kostrikin, A.I. and Manin, Yu.I., Lineinaya algebra i geometriya (Linear Algebra and Geometry), Moscow: Nauka, 1986.
4. Agoshkov, V.I. and Lebedev, V.I., Poincaré-Steklov Operators and Methods for Domain Decomposition in Variational Problems, in Vychislitel'nye protsessy i sistemy (Computational Processes and Systems), Moscow: Nauka, 1985, no. 2, pp. 173-227.
5. Agoshkov, V.I., Domain Decomposition Methods for Problems in Mathematical Physics, in Vychislitel'nye protsessy i sistemy (Computational Processes and Systems), Moscow: Nauka, 1991, no. 8, pp. 4-50.
6. Zueva, N.M., Mikhailova, M.S., and Ryaben'kii, V.S., Transfer of Boundary Conditions from Infinity to an Artificial Boundary for the Difference Laplace Equation, Preprint of Inst. Applied Math., Acad. Sci. of the USSR, Moscow, 1991, no. 110.
7. Brushlinskii, K.V., Ryaben'kii, V.S., and Tuzova, N.B., Transfer of a Boundary Condition across Vacuum in Axisymmetric Problems, Zh. Vychisl. Mat. Mat. Fiz., 1992, vol. 32, no. 12, pp. 1929-1939.
8. Ryaben'kii, VS. and Torgashov, V.A., Method of Difference Potential for Numerical Simulation of the Interior Problem for Planar Viscous Incompressible Flow, Dokl. Akad. Nauk, 1994, vol. 337, no. 4, pp. 450-453.