Difference potentials method and its applications

Mathematische Nachrichten

Volumn 177, Issue , 1996, Pages 251-264

  Ryaben'kii, V S ^a  

^a KELDYSH INSTITUTE OF APPLIED MATHEMATICS   (Russian Federation)

Author keywords

[No Author keywords available]

Indexed keywords

EID: 0000872573     PISSN: 0025584X     EISSN: None     Source Type: Journal    
DOI: 10.1002/mana.19961770114     Document Type: Article

References (26)

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2. BRUSHLINSKY, K.V., RYABEN'KII, V.S., TUZOVA, N.B., Boundary Conditions Transfer through Vacuum in Axi-Symmetrical Problems, Journal Vychisl. Matem. i Matem. Physiki, 32 (1992), No. 12 (in Russian, to be translated in English in U.S.S.R. Computational Mathematics and Mathematical Physics)
3. CALDERON, A.P., Boundary Value Problems for Elliptic Equations, Outline of the First Soviet-American Symposium 011 Part. Diff. Equations, Novosibirsk, 1963
4. KAMENETSKII, D.S., A Variant of Difference Potential Construction for General Linear Systems of Difference Equations, Keldysh Inst. of Appl. Math., Preprint No. 104 (in Russian)
5. KAMENETSKII, D.S., Difference Potentials and Generalized Poincaré-Steklov Operators for Difference Boundary-Value Problems, Keldysh Inst. of Appl. Math., Preprint No. 105 (in Russian)
6. KAMENETSKII, D.S., RYABEN'KII, V.S., Solution of the Boundary Problems for the Laplace Equation in the Domain with Cut Using Difference Potentials Method, Keldysh Inst. of Appl. Math., Preprint No. 132, 1989
7. KAMENETSKII, D.S., RYABEN'KII, V.S., TSYNKOV, S.V., Boundary Equations with Projections in the Composite Domains (Part I) and Domain Decomposition Algorithms on the Basis of Boundary Equations with Projections (Part II), Keldysh Inst. of Appl. Math., Preprints No. 112, 113, 1991, 21 p. and 23 p.
8. KAMENETSKII, D.S., SHIFRIN, E.G., Application of the Hodograph Method to Nozzle Guide Vane Profiling, Russian Journal of Computational Mechanics, No. 3 (1993)
9. KAMENETSKII, D.S., TSYNKOV, S.V., Numerical Generation of Boundary-Fitted Conformal Grids Making Use of Difference Potentials Method, Keldysh Inst. of Appl. Math., Preprint No. 61 (1990) (in Russian)
10. RYABEN'KII, V.S., A Boundary Projection Operator, Dokl. Akad. Nauk. SSSR, 105, No. 3 (1969), 521-523
11. RYABEN'KII, V.S., The Method of the Intrinsic Boundary Conditions in the Theory of Difference Boundary-Value Problems, Russian Math. Surveys, 26 (1971), No. 3, 117-176
12. RYABEN'KII, V.S., Generalization of Calderon Projections and Boundary Equations on the Basis of Clear Trace Concept, Dokl. Akad. Nauk SSSR, 270 (1983), No. 2, 288-291 (in Russian)
13. RYABEN'KII, V.S., Boundary Equations with Projections, Russian Math. Surveys, 40 (1985), No. 2, 147-183
14. RYABEN'KII, V.S., Difference Potentials Method for Some Problems of Continuous Media Mechanics, Moscow, Nauka, 320 p. (in Russian), 1987
15. RYABEN'KII, V.S., Precise Transfer of Difference Boundary Conditions, Functional Analysis and Its Applications, 24 (1990), No. 3
16. RYABEN'KII, V.S., Classes of Right Sides for Difference Equations Equivalently Influencing the Solution in Subdomain, The shielding, Functional Analysis and Its Applications, 29 (1995), No 1
17. RYABEN'KII, V.S., Introduction to Computational Mathematics, Moscow, Nauka, 1-336 (in Russian), 1994
18. RYABEN'KII, V.S., Difference Potentials Analogous to the Cauchy-Type Integrals, Keldysh Inst. of Appl. Math., Preprint No. 19, 1994 (in Russian)
19. RYABEN'KII, V.S.. Piecewise Regular Solutions of Difference Equations and Difference Potentials with Densities from the Space of Jumps, Keldysh Inst. of Appl. Math., Preprint No. 20, 1994 (in Russian)
20. RYABEN'KII, V.S., TORGASHOV, V.A., Difference Potentials Method for Numerical Solution of Internal Problem of Plane Laminar Flow of Incompressible Viscid Liquid, Dokl. Russ. Akad. Nauk., 337, No 4 (1994)
21. RYABEN'KII, V.S., TSYNKOV, S.V., Artificial Boundary Conditions for the Numerical Solution of External Viscous Flow Problems, Tel-Aviv Univ., School of Math. Sciences, Dept. of Appl. Math., Tech., Report 5-93
22. RYABEN'KII, V.S., TSYNKOV, S.V., Artificial Boundary Conditions for the Numerical Solution of External Viscous Flow Problems, SIAM Journal of Numerical Analysis (to appear, 1995)
23. SEELEY, R.T., Singular Integrals and Boundary Value Problems, Amer. Jour. Math., 88 (1966), No. 4, 781-809
24. SOFRONOV, I.L., The Method of Difference Potential for Problems Described by Maxwell Equations, Computer Mechanics of Solids, Moscow, Issue 2, 1991 (in Russian)
25. VEITZMAN, R.I., ZINOVIEV, E.V., The Difference Potential Method Algorithm for Solving the Helmholtz Equation outside the Revolution Body, Computer Mechanics of Solids, Moscow, Issue 1, 1990
26. ZINOVIEV, E.V., Solution of an External Problem for the Helmholtz Equation Using Difference Potentials Method. Application to the Computation of Axi-Symmetrical Elements Interaction, Ph. D. Tesis, Moscow, VINITI, 1990