Splitting and alternating direction methods

Handbook of Numerical Analysis

Volumn 1, Issue , 1990, Pages 197-462

  Marchuk, G I ^a  

^a RUSSIAN ACADEMY OF SCIENCES   (Russian Federation)

Author keywords

[No Author keywords available]

Indexed keywords

EID: 70350504025     PISSN: 15708659     EISSN: None     Source Type: Book Series    
DOI: 10.1016/S1570-8659(05)80035-3     Document Type: Review

References (308)

1. (in Russian). Abramov A.A., and Andreev V.B. An application of the sweep method for finding periodic solutions of differential and difference equations. Zh. Vychisl. Mat. i Mat. Fiz. 3 2 (1963)
2. (Sonderheft). Albrecht I. Eine Verallgemeinerung des Verfahrens der Alternierenden. Z. Angew. Math. Mech. 45 3-6 (1965)
3. Amsden A.A., and Harlow F.H. A simplified MAC technique for incompressible fluid flow calculations. J. Comput. Phys. 6 2 (1970) 322-325
4. Anderson D.A. A comparison of numerical solutions to the inviscid equations of fluid motion. J. Comput. Phys. 15 1 (1974) 1-20
5. (in Russian). Andreev V.B. On the splitting difference schemes for general p-dimensional parabolic equations of second order with mixed derivatives. Zh. Vychisl. Mat. i Mat. Fiz. 7 2 (1967)
6. (in Russian). Andreev V.B. On the convergence of the splitting difference schemes approximating the third boundary value problem for parabolic equation. Zh. Vychisl. Mat. i Mat. Fiz. 9 2 (1969)
7. (in Russian). Anuchina N.N. On the methods for computing compressible liquid flows with large deformations. Chisl. Metody Mekh. Sploshn. Sredy Inform. Bul. 1 4 (1970)
8. (in Russian). Anuchina N.N., and Yanenko N.N. The implicit splitting schemes for hyperbolic equations and systems. Dokl. Acad. Sci. USSR 128 6 (1959)
9. Babuška I. Approximation by hill functions. Tech. Note BN-648 (1970), Institute for Fluid Dynamics and Applied Mathematics, University of Maryland, Providence, RI
10. (in Russian). Bagrinovsky K.A., and Godunov S.K. Difference schemes for multidimensional problems. Dokl. Acad. Sci. USSR 115 3 (1957)
11. Baker G.A. An implicit numerical method for solving the n-dimensional heat equation. Quart. Appl. Math. 17 4 (1960) 440-443
12. Baker G.A., and Oliphant T.A. An implicit numerical method for solving the two-dimensional heat equation. Quart. Appl. Math. 17 4 (1960)
13. New York. Baldwin B.S., and MacCormack R.W. Numerical solution of the interaction of a strong shock wave with a hypersonic turbulent boundary layer. AIAA Paper 558 (1974)
14. Baum E., and Ndefo E. A temporal ADI computational technique. Proceedings AIAA Computers and Fluid Dynamics Conference. Springs, CA (1973), AIAA, College Park, MD 133-140
15. (in Russian). Belotserkovsky O.M. Numerical Modelling in the Mechanics of Continuous Media (1984), Nauka, New York
16. (in Russian). Belotserkovsky O.M., and Davydov Yu.M. The method of "large particles" for the problems in dynamics. Chysl. Metody Mekh. Sploshn. Sredy Inform. Bul. 1 3 (1970)
17. (schemes and applications). Belotserkovsky O.M., and Davydov Yu.M. The method of "large particles" (1978), Moscow Physical Technical Institute, Moscow
18. Belotserkovsky O.M., Golovachev Yu.P., Grudnitsky V.G., Davydov Yu.M., Dushin V.K., Lunkin Yu.P., Magomedov K.M., Molodtsov V.K., Popov F.D., Tolstykh A.I., Fomin V.N., and Kholodov A.S. Numerical Study of Modern Problems in Gas Dynamics (1974), Nauka, Moscow, USSR
19. (in Russian). Belotserkovsky O.M., Gushchin V.A., and Shchennikov V.V. The splitting method in application to solving problems in the dynamics of viscous incompressible liquid. Zh. Vychisl. Mat. i Mat. Fiz. 15 1 (1975)
20. (in Russian). Belotserkovsky O.M., Popov F.D., Tolstykh A.I., Fomin V.N., and Kholodov A.S. Numerical solution of some problems in gas dynamics. Zh. Vychisl. Mat. i Mat. Fiz. 10 2 (1970)
21. (in Russian). Belukhina I.G. The difference schemes for solving two-dimensional dynamic elasticity problem with mixed boundary conditions. Zh. Vychisl. Mat. i Mat. Fiz. 9 2 (1969)
22. Bensoussan A. Pure decentralization for interrelated payoffs. Proceedings Symposium on Optimization. Los Angeles, CA (1971)
23. Bensoussan A., Lions J.-L., and Temam R. Methods of Decomposition, Decentralization, Coordination and Their Applications. Metody Vychisl. Mat. (1975), Nauka, Moscow
24. (in Russian). Berezin Yu.A., Kovenya V.M., and Yanenko N.N. The Difference Method for Solving Round Flow Problems, Aeromechanics (1976), Nauka, Novosibirsk
25. (in Russian). Berezin Yu.A., and Vshivkov V.A. The Particle Method in the Dynamics of Rarefied Plasma (1980), Nauka, Moscow
26. (in Russian). Berezin Yu.A., and Yanenko N.N. The splitting method for the problem in physics of semiconductors. Dokl. Acad. Sci. USSR 274 6 (1984)
27. Birkhof G., and Varga R. Implicit alternating direction methods. Trans. Amer. Soc. 92 1 (1959) 13-24
28. Birkhof G., Varga R., and Young D. Alternating Direction Implicit Methods. Advances in Computers 3 (1962), Academic Press, Novosibirsk
29. (in Russian). Boyarintsev Yu.Yu. On the Convergence of the Splitting Method and Local Correctness Criterion for Difference Equations with Varying Coefficients. Nekotorye Voprosy Prikl. i Vychisl. Mat. (1966), Nauka, New York
30. (in Russian). Boyarintsev Yu.Yu., and Uznadze O.P. On the convergence of splitting the system of spherical harmonics. Zh. Vychisl. Mat. i Mat Fiz. 7 6 (1967)
31. (in Russian). Brailovskaya I.Yu., Kuskova T.V., and Chudo L.A. The Difference Methods for Solving Navier-Stokes Equations (Survey). Vychisl. Metody i Programmirovanie XI (1968), Moskov. Gos. Univ., Novosibirsk
32. Brayn K. A scheme for numerical integration of the equations for motion on an irregular grid free of nonlinear instability. Monthly Weather Rev. 94 1 (1966)
33. Brian P.L.I. A finite difference method of high order accuracy for the solution of three-dimensional heat conduction problems. AIChE J. 7 (1961) 367-370
34. (in Russian). Buleyev N.I. The numerical method for solving two- and three-dimensional diffusion equations. Mat. Sb. 5 2 (1960)
35. (in Russian). Buleyev N.I. The method of incomplete factorization for solving two- and three-dimensional equation of diffusion type. Zh. Vychisl. Mat. i Mat. Fiz. 10 4 (1970)
36. Rept. 4. Burridge D.M., and Hayes F.R. Development of the British operational model. The GARP Programme on Numerical Experimentation (1974) 102-104
37. Butler T.D. Recent Advances in Computational Fluid Dynamics. Lecture Notes in Computer Science 11 (1974), Springer, Moscow 1-21
38. Chan R.K.-C., and Street R.L. A computer study of finite amplitude water waves. J. Comput. Phys. 6 (1970) 68-97
39. Chan R.K.-C., Street R.L., and Fromm J. Numerical modelling of the water waves: The development of Summac method. Proceedings Second International Conference on Numerical Methods in Fluid Dynamics. Lecture Notes in Physics (1971), Springer, Berlin
40. Chorin A.J. Numerical solution of the Navier-Stokes equations. Math. Comp. 22 104 (1968) 745-762
41. Cline M.C. Computation of steady nozzle flow by a time dependent method. AIAA J. 12 4 (1974) 419-420
42. Concus P., Golub G.H., and O'Leary D.P. A generalized conjugate gradient method for the numerical solution of elliptic partial differential equations. In: Bunch J.R., and Rose D.J. (Eds). Sparse Matrix Computations (1976), Academic Press, Berlin 309-332
43. Courant R., Friedrichs K.O., and Lewy H. Über die partiellen Differenzengleichungen der mathematischen Physik. Math. Ann. 100 (1928) 32-74
44. Crane C.M. A new method for the numerical solution of time dependent viscous flow. Appl. Sci. Res. 30 4 (1974) 47-77
45. Davis R.T., Ghia U., and Ghia K.N. Laminar incompressible flow past a class of blunted wedges using the Navier-Stokes equations. Comput. & Fluids 2 2 (1974) 211-223
46. (in Russian). Davydov Yu., and Skotnikov V.P. The Method of "Large Particles": Aspects of Approximation, Scheme Viscosity and Stability (1978), VC Acad. Sci. USSR, New York
47. 2 = ∂u/∂t by implicit methods. J. SIAM 3 (1955) 42-65
48. Douglas Jr. J. Alternating direction iteration for mildly nonlinear elliptic difference equations. Numer. Math. 3 (1961) 92-99
49. Douglas Jr. J. Alternating direction methods for three space variables. Numer. Math. 4 (1962) 41-63
50. Douglas Jr. J., and Dupont T. Alternating direction Galerkin methods on rectangles. Numerical Solution of Partial Equations, II, SYNSPADE (1971), Academic Press, Moscow
51. Douglas Jr. J., and Gunn J.E. Alternating direction methods for parabolic system in m-space variables. J. Assoc. Comput. Mach. 9 (1962) 450-456
52. Douglas Jr. J., and Gunn J.E. Two high-order correct difference analogues for the equation of multidimensional heat flow. Math. Comp. 17 (1963) 71-80
53. Douglas Jr. J., and Gunn J.E. A general formulation of alternating direction methods, Part I. Parabolic and hyperbolic problems. Numer. Math. 6 5 (1964) 428-453
54. Douglas Jr. J., and Jones B.F. On predictor-corrector methods for nonlinear parabolic differential equations. J. SIAM 11 (1963) 195-204
55. Douglas Jr. J., Kellogg R., and Varga R. Alternating direction methods for n-space variables. Math. Comp. 17 (1963)
56. Douglas Jr. J., and Pearcy C.M. On convergence of alternating direction procedures in the presence of singular operators. Numer. Math. 5 (1963) 175-184
57. Douglas Jr. J., and Rachford Jr. H.H. On the numerical solution of heat conduction problems in two- and three-space variables. Trans. Amer. Math. Soc. 82 (1956) 421-439
58. (in Russian). Drya M. On the stability of splitting schemes. C, Zh. Vychisl. Mat. i Mat. Fiz. 7 2 (1967)
59. (in Russian). Drya M. The splitting difference schemes for systems of hyperbolic equations of the first order. Zh. Vychisl. Mat. i Mat. Fiz. 11 2 (1971)
60. (in Russian). Drya M. On the convergence of the splitting difference schemes for parabolic systems in C in the internal points of the domain. Zh. Vychisl. Mat. i Mat. Fiz. 11 3 (1971)
61. Dupont T. A factorization procedure for the solution of elliptic difference equations. SIAM J. Numer. Anal. 5 4 (1968)
62. Duvant G., and Lions J. Les Inéquations en Mécanique et en Physique (1972), Dunod, New York
63. (in Russian). Dyachenko V.F. On the new method for numerical solution of the non-stationary problems with two spatial variables in gas dynamics. Zh. Vychisl. Mat. i Mat. Fiz. 5 4 (1965)
64. (in Russian). Dyakonov Ye.G. The alternating direction method for solving systems of finite difference equations. Dokl. Acad. Sci. USSR 138 2 (1961)
65. (in Russian). Dyakonov Ye.G. The grid method for the parabolic equations of the second order with separable variables. Dokl. Acad. Sci. USSR 142 6 (1962)
66. (in Russian). Dyakonov Ye.G. On the one way to solve Poisson equation. Dokl. Acad. Sci. USSR 143 1 (1962)
67. (in Russian). Dyakonov Ye.G. On some difference schemes for solving boundary value problems. Zh. Vychisl. Mat. i Mat. Fiz. 2 1 (1962)
68. (in Russian). Dyakonov Ye.G. On the constructing of the splitting difference schemes for multidimensional non-stationary problems. Uspekhi Mat. Nauk 17 4 (1962)
69. (in Russian). Dyakonov Ye.G. The splitting difference schemes for multidimensional stationary problems. Zh. Vychisl. Mat. i Mat. Fiz. 2 4 (1962)
70. (in Russian). Dyakonov Ye.G. The splitting difference schemes for non-stationary equations. Dokl. Acad. Sci. USSR 144 1 (1962)
71. (in Russian). Dyakonov Ye.G. On the application of the splitting difference operators. Zh. Vychisl. Mat. i Mat. Fiz. 3 2 (1963)
72. (in Russian). Dyakonov Ye.G. On the application of the splitting difference schemes for hyperbolic equations with varying coefficients. Dokl. Acad. Sci. USSR 151 4 (1963)
73. (in Russian). Dyakonov Ye.G. On the application of the splitting difference schemes for some systems partial equations. Uspekhi Mat. Nauk 14 1 (1964)
74. (in Russian). Dyakonov Ye.G. The splitting difference schemes of the second order of accuracy for parabolic equations without mixed derivatives. Zh. Vychisl. Mat. i Mat. Fiz. 4 5 (1964)
75. (in Russian). Dyakonov Ye.G. The splitting difference schemes for general parabolic equations of the second order with varying coefficients. Zh. Vychisl. Mat. i Mat. Fiz. 4 2 (1964)
76. (in Russian). Dyakonov Ye.G. On the application of the splitting difference schemes for some systems of parabolic and hyperbolic equations. Sibirsk. Mat. Zh. 6 3 (1965)
77. (in Russian). Dyakonov Ye.G. The Splitting Difference Scheme of the Second Order of Accuracy for Multidimensional Parabolic Equations with Varying Coefficients. Numerical Methods and Programming 3 (1965), Moskov. Gos. Univ., Paris
78. (in Russian). Dyakonov Ye.G. On the application of the splitting difference schemes for some systems of integro-differential equations. Vestnik Moskov. Univ. Mat. 5 (1966)
79. (in Russian). Dyakonov Ye.G. On the Class of Partial Equations Arising in Closing the Difference Methods Based on Splitting the Operator. Vychisl. Metody i Programmirovanie IV (1967), Moskov. Gos. Univ., Moscow
80. 1u = f. Dokl. Acad. Sci. USSR 176 2 (1967)
81. (in Russian). Dyakonov Ye.G. Economical Difference Methods Based on the Splitting Difference Operator for Some Systems of Partial Equations. Numerical Methods and Programming 6 (1967), Moskov. Gos. Univ., Moscow
82. (in Russian). Dyakonov Ye.G. The iterative methods for solving difference analogues of the boundary value problems for elliptic equations (1970), Institute of Cybernetics Acad. Sci. USSR, Moscow
83. (in Russian). Dyakonov Ye.G. On some operator inequalities and their applications. Dokl. Acad Sci. USSR 198 5 (1971)
84. (in Russian). Dyakonov Ye.G. On the Difference Methods for Solving Some Nonstationary Systems. Applied Mathematics and Programming 6 (1971), Shtiintsa, Kiev
85. (in Russian). Dyakonov Ye.G. The Difference Schemes of Increased Accuracy for Systems of Mixed Equations. Applied Mathematics and Programming (1971), Shtiintsa, Kishinev
86. (in Russian). Dyakonov Ye.G. The Difference Methods for Solving Boundary Value Problems, I: Stationary Problems (1971), Moskov. Gos. Univ., Kishinev
87. (in Russian). Dyakonov Ye.G. The Difference Methods for Solving Boundary Value Problems, II: Nonstationary Problems (1972), Moskov. Gos. Univ., Moscow
88. (in Russian). Dyakonov Ye.G., and Lebedev V.I. The Splitting Method for the Third Boundary Value Problem. Numerical Methods and Programming 4 (1967), Moskov. Gos. Univ., Moscow
89. Preprint No. 100. Dymnikov V.P., and Filin S.K. The numerical modelling of the atmospheric circulation response to the temperature anomaly on the surface of the ocean in North Atlantic. (in Russian) (1985), OVM Acad. Sci. USSR, Moscow
90. (in Russian). Dymnikov V.P., and Ishimova A.V. Unadiabatic model for the short-term weather forecasting. Meteorologia i Gidrologia 6 (1979)
91. Preprint No. 61. Dymnikov V.P., and Lykosov V.N. Spectral analysis of the quasi-stationary atmospheric circulation response to the temperature anomaly on the surface of the ocean. (in Russian) (1983), OVM Acad. Sci. USSR, Moscow
92. Fairweather G., and Mitchell A.R. Some computational results of an improved A.D.I. method for the Dirichlet problem. Comput. J. 9 3 (1966)
93. Fairweather G., and Mitchell A.R. A new computational procedure for A.D.I. methods. SIAM J. Numer. Anal. 4 (1967) 163-170
94. Fairweather G., Gourlay A.R., and Mitchell A.R. Some high accuracy difference schemes with a splitting operator for equations of parabolic and elliptic type. Numer. Math. 10 (1967) 56-66
95. (in Russian). Filippov A.F. On the stability of the difference schemes. Dokl. Acad. Sci. USSR 100 6 (1955)
96. Forester C., and Emery A. A computational method for low Mach number unsteady compressible free convective flows. J. Comput. Phys. 10 (1972) 487-502
97. Friedrichs K.O. Symmetric hyperbolic linear differential equations. Comm. Pure Appl. Math. 7 (1954) 345-392
98. (in Russian). Fryazinov I.V. On the difference approximation of the boundary conditions for the third boundary value problem. Zh. Vychisl. Mat. i. Mat. Fiz. 4 6 (1964)
99. (in Russian). Fryazinov I.V. On the solution of the third boundary value problem for two-dimensional heat conduction equation in arbitrary domain by local one-dimensional method. Zh. Vychisl. Mat. i Mat. Fiz. 6 3 (1966)
100. (in Russian). Fryazinov I.V. The economical symmetrized schemes for the solution of boundary value problems for multidimensional parabolic equation. Zh. Vychisl. Mat. i Mat. Fiz. 8 2 (1968)
101. (in Russian). Fryazinov I.V. The a priori estimates for some family of economical schemes. Zh. Vychisl. Mat. i Mat. Fiz. 9 3 (1969)
102. (in Russian). Fryazinov I.V. The economical schemes of increased order of accuracy for solving multidimensional parabolic equation. Zh. Vychisl. Mat. i Mat. Fiz. 9 6 (1969)
103. (in Russian). Gelfand I.M., and Lokutsievsky O.V. The sweep method for solving difference equations. In: Godunov S.K., and Ryabenkii V.S. (Eds). Introduction to the Theory of Difference Schemes (1962), Fizmatgiz, Moscow
104. (in Russian). Glowinsky R., Lions J.-L., and Tremolier R. Numerical Study of Variational Inequalities (1979), Mir, Moscow
105. (in Russian). Godunov S.K. The difference method for numerical computation of discontinuous solutions of equations in hydrodynamics. Mat. Sb. 47 3 (1959)
106. (in Russian). Godunov S.K. The method of the orthogonal sweep for solving system of difference equations. Zh. Vychisl. Mat. i Mat. Fiz 2 6 (1962)
107. (in Russian). Godunov S.K., and Ryabenkii V.S. The Difference Schemes: Introduction to the Theory (1977), Nauka, Moscow
108. (in Russian). Godunov S.K., and Semendyaev K.A. The difference methods for numerical solution of the problems in gas dynamics. Zh. Vychisl. Mat. i Mat. Fiz. 2 7 (1962)
109. (in Russian). Godunov S.K., and Zabrodin A.V. On the difference schemes of the second order of accuracy for multidimensional problems. Zh. Vychisl. Mat. i Mat. Fiz. 2 4 (1962)
110. (in Russian). Godunov S.K., Zabrodin A.V., Ivanov M.Y., et al. Numerical solution of Multidimensional Problems in Gas Dynamics (1976), Nauka, Moscow
111. Gourlay A., and Mitchell A. Split operator methods for hyperbolic system in p-space variables. Math. Comp. 21 (1961) 351-354
112. Gourlay A., and Mitchell A. Alternating direction methods for hyperbolic systems. Numer. Math. 8 (1966) 137-149
113. Gourlay A., and Mitchell A. Intermediate boundary corrections for split operator methods in three dimensions. BIT 7 (1967) 31-38
114. Gourlay A., and Mitchell A. High accuracy A.D.I. methods for parabolic equations with variable coefficients. Numer. Math. 12 (1968) 180-185
115. Gourlay A., and Mitchell A. A classification of split difference methods for hyperbolic equations in several space dimensions. SIAM J. Numer. Anal. 6 (1969) 62-71
116. Guittet J. Une nouvelle de directions alternées à q variables. J. Math. Anal. Appl. 17 (1967) 199-213
117. Gunn J. The solution of elliptic difference equations by semi-explicit iterative techniques. SIAM J. Numer. Anal. 2 1 (1965)
118. (in Russian). Gushchin V.A. The splittig method for solving the problem in dynamics of inhomogeneous viscous incompressible liquid. Zh. Vyschisl. Mat. i Mat. Fiz. 21 4 (1981)
119. Habbard B. Alternating direction schemes for the heat equation in a general domain. SIAM J. Numer. Anal. 2 3 (1966)
120. (in Russian). Harlow F. Numerical Method of Particles in Cells for the Problems in Hydrodynamics. Numerical Methods in Hydrodynamics (1967), Mir, Moscow
121. Harlow F., and Welch J. Numerical calculation of time-dependent viscous incompressible flow of fluid with free surface. Phys. Fluids 8 (1965) 2182-2189
122. (in Russian). Il'in V.P. On the splitting of the parabolic and elliptic difference equations. Sibirsk. Mat. Zh. 6 1 (1965)
123. (in Russian). Il'in V.P. On the application of the alternating direction method for solving quasi-linear parabolic and elliptic equations. Some Aspects of Applied and Numerical Mathematics (1966), Nauka, Moscow
124. (in Russian). Il'in V.P. On the explicit alternating direction schemes. Izv. Sib. Otd. Acad. Sci. USSR Ser. Tekhn. Nauk 13 3 (1967)
125. (in Russian). Il'in V.P. The Difference Methods for Solving Elliptic Equations (1970), Novosibirsk Gos. Univ., Novosibirsk
126. (in Russian). Karchevsky M.M., Lapin A.V., and Lyashko A.D. Economical difference schemes for quasi-linear parabolic equations. Izv. Vuzov Mat. 3 118 (1972)
127. (in Russian). Keldysh M.V. On Galerkin's method for solving boundary value problems. Izv. Acad. Sci. USSR, Mat. 6 (1942)
128. Kellogg R. Another alternating direction implicit method. J. SIAM 11 (1963) 976-979
129. Kellogg R. An alternating direction method for operator equations. J. SIAM 12 4 (1964)
130. Kellogg R., and Spanier J. On optimal alternating direction parameters for singular matrices. Math. Comp. 19 1 (1965)
131. (in Russian). Kochergin V.P., and Kuznetsov Yu.A. On the solution of the system of linear equation by the splitting method. Numerical Methods in Transport Theory (1969), Atomizdat, Novosibirsk
132. (in Russian). Konovalov A.N. The method of fractional steps for solving Cauchy problem for multidimensional oscillation equation. Dokl. Acad. Sci. USSR 147 1 (1962)
133. (in Russian). Konovalov A.N. The application of the splitting method to the numerical solution of dynamic problems in the theory of elasticity. Zh. Vychisl. Mat. i Mat. Fiz. 4 4 (1964)
134. (in Russian). Konovalov A.N. The problem of the filtration of multiphase incompressible liquid (1972), Novosibirsk Gos. Univ., Moscow
135. (in Russian). Korobitsina J.L. On the boundary conditions in the splitting scheme for kinetic equation. Numerical Methods in Transport Theory (1969), Atomizdat, Novosibirsk
136. (in Russian). Kovenya V.M., and Lebedev A.S. The application of the splitting method in predictor-corrector schemes for solving problems in gas dynamics. Chysl. Metody Mekh. Sploshn. Sredy 15 2 (1984)
137. (in Russian). Kovenya V.M., and Yanenko N.N. The Splitting Methods for Problems in Gas Dynamics (1981), Nauka, Moscow
138. (in Russian). Kryakvin S.A. On the accuracy of the alternating direction schemes for heat conduction equation. Zh. Vychisl. Mat. i Mat. Fiz. 6 (1966)
139. Kutler P., and Lomax H. Shock-capturing, finite-difference approach to supersonic flows. J. Spacecraft and Rockets 8 (1971) 1175-1182
140. Kutler P., Reinhardt W., and Warming R. Multishocked, three-dimensional supersonic flowfields with real gas effects. AIAA J. 11 (1973) 657-664
141. New York, 10 pp. Kutler P., Sakell L., and Aiello G. On the shock-on-shock interaction problem. AIAA Paper 524 (1974)
142. (in Russian). Kuzin V.I. On the solution of the equation for barotropic Rossby waves by the finite element method with splitting. Mathematical Modelling of Ocean Dynamics (1980), VC Sib. Otd. Acad. Sci. USSR, Novosibirsk
143. (in Russian). Kuzin V.I. The numerical model of global ocean circulation based on finite element method with splitting. Mathematical Modelling of the Dynamics of Ocean and Internal Reservoirs (1984), VC Sib. Otd. Acad. Sci. USSR, Novosibirsk
144. (in Russian). Kuznetsov A.Yu., and Strelets M.K. Numerical modelling of sufficiently undersonic stationary non-isothermal flows of homogeneous viscous gas in channels. Chysl. Metody Mekh. Sploshn. Sredy 14 6 (1983)
145. (in Russian). Kuznetsov B.P., Moshkin N.P., and Smagulov S. Numerical study of viscous incompressible liquid flows in channels of complex geometry under given pressure jumps. Chysl. Metody Mekh. Sploshn. Sredy 14 5 (1983)
146. (in Russian). Ladyzhenskaya O.A. On the solution of non-stationary operator equations. Mat. Sb. 39 4 (1956)
147. (in Russian). Ladyzhenskaya O.A. On the non-stationary operator equations and their applications to linear problems in mathematical physics. Mat. Sb. 45 (1958)
148. (in Russian). Ladyzhenskaya O.A., and Rivkind V.Y. On the convergent difference schemes for Navier-Stokes equations. Chysl. Metody Mekh. Sploshn. Sredy Inform. Bul. 2 1 (1971)
149. Laval P. Nouveaux schémas de désintégration pour la résolution des problèmes hyperboliques et paraboliques non-linéaires applications aux équations d'Euler et de Navier-Stokes. Rech. Aérospat. 4 (1983)
150. (Translations coll.). Lax P. On the stability of finite difference approximations to the solutions of hyperbolic equations with varying coefficients. (in Russian). Mathematics 6 3 (1962)
151. Lax, and Wendroff B. Difference schemes for hyperbolic equations with high order of accuracy. Comm. Pure Appl. Math. 17 (1964) 381-398
152. (in Russian). Lebedev V.I. On the type of quadrature formulae of increased algebraic accuracy for sphere. Dokl. Acad. Sci. USSR 231 1 (1971)
153. (in Russian). Lebedev V.I. On the quadratures on the sphere. Zh. V ychisl. Mat. i Mat. Fiz. 16 2 (1976)
154. (in Russian). Lebedev V.I. On Zolotarev's problem in alternating direction method. Zh. Vychisl. Mat. i Mat. Fiz. 17 2 (1977)
155. Lees M. A priori estimates for the solutions of difference approximations to parabolic partial differential equations. Duke Math. J. 27 (1960) 297-311
156. Lees M. Energy inequalities for the solution of differential equations. Trans. Amer. Math. Soc. 94 (1960) 58-73
157. Lees M. Alternating direction methods for hyperbolic differential equations. J. SIAM 10 (1960) 610-616
158. Lees M. Alternating direction and semi-explicit difference methods for parabolic partial differential equations. Number. Math. 3 (1961) 398-412
159. Lees M. A linear three-level difference scheme for quasi-linear parabolic equations. Math. Comp. 20 (1966) 516-522
160. Rept. 4. Lepas J., Beklareche M., Caiffier J., Finke L., and Tagnit-haaon A. Primitive equations model-implicit method for numerical integration. The GARP Programme on Numerical Experimentation (1974) 65
161. Lerat A., and Peyret R. Propriétés dispersives et dissipatives, d'une classe des schémas aux différences pour les systèmes hyperboliques non-linéaires. Rech. Aérospat. 2 (1975) 61-79
162. Lions P., and Mercier B. Splitting algorithms for the sum of two non-linear operators. Rapport Interne 29 (1978), Centre de Mathématiques Appliquées, Ecole Polytechnique, Novosibirsk
163. Lions J.-L., and Temam R. Une méthode d'éclatement des opérateurs et des contraintes en calcul des variations. C.R. Acad. Sci. Paris 263 (1966)
164. Lorenz E. Available potential energy and the maintenance of the general circulation. Tellus 7 (1955) 157-167
165. Lunn M. On the equivalence of SOR, SSOR and USSOR as applied to ordered systems of linear equations. Comput. J. 7 (1964) 72-75
166. (in Russian). Lytkin Yu.M., and Chernykh G.G. On the internal waves induced by the collapse of displacement zone in stratified liquid. Dynamics of Continuous Media 22 (1975)
167. New York, 3 pp. MaCormack R., and Baldwin B. A numerical method for solving Navier-Stokes equations with application to shock-boundary layer interactions. AIAA Ppaer 1 (1975)
168. New York, 7 pp. MacCormack R., and Pauliay A. Computational efficiency achieved by time splitting of finite difference operators. AIAA Paper 154 (1972)
169. Marchuk G.I. The new approach to numerical solving the equations of weather forecasting. Proceedings Symposium on Long-Term Forecasting Methods. USA (1964)
170. (in Russian). Marchuk G.I. The numerical algorithm for solving the equations of weather forecasting. Dokl. Acad. Sci. USSR 156 2 (1964) 308-311
171. (in Russian). Marchuk G.I. Numerical methods for the problems in weather forecasting and theory of climate. Lectures on the Numerical Methods for Short-Term Weather Forecasting (1967), Gidormeteoizdat, Palaiseau, France
172. (in Russian). Marchuk G.I. Numerical Methods for Weather Forecasting (1967), Gidrometeoizdat, Leningrad
173. Marchuk G.I. Some application of splitting methods of the solution of mathematical physics problems. Apl. Mat. 13 (1968) 103-132
174. (in Russian). Marchuk G.I. The splitting method for problems in mathematical physics. Numerical Methods for Problems in Mechanics of Continuous Media (1969)
175. also. Marchuk G.L. Methods and problems in numerical mathematics. (in Russian). Internat. Math. Congr. Nizza (1970)
176. also. Marchuk G.L. Methods and problems in numerical mathematics. (in Russian). Reports of Soviet Mathematicians (1972), Nauka, Leningrad
177. Marchuk G.I. On the theory of splitting method. Numerical Solution of Partial Differential Equations, II, SYNSPADE (1971), Academic Press, Moscow
178. Marchuk G.I. Introduction into the Methods of Numerical Analysis (1973), Cremonese, New York
179. (in Russian). Marchuk G.I. Numerical Solution of the Problems in Atmosphere and Ocean Dynamics (1974), Gidrometeoizdat, Rome
180. (in Russian). Marchuk G.I. Numerical Methods in the Computation of Ocean Currencies (1974), Vychisl. Centr. Sib. Otd. Acad. Sci. USSR, Leningrad
181. (in Russian). Marchuk G.I. Methods of Numerical Mathematics (1980), Nauka, Novosibirsk
182. (in Russian). Marchuk G.I. Mathematical Modelling in the Problem of Environment (1982), Nauka, Moscow
183. (in Russian). Marchuk G.I., and Agoshkov V.I. Introduction to the Projection Grid Methods (1981), Nauka, Moscow
184. (in Russian). Marchuk G.I., Bubnov M.A., Zalesny V.B., and Kordzadze A.A. Mathematical modelling of the sea currents, tide waves and elaboration of numerical algorithms. Actual Problems in Numerical and Applied Mathematics (1983), Nauka, Moscow
185. In: Marchuk G.I., and Dymnikov V.P. (Eds). Dynamic Meteorology and Numerical Weather Forecasting (1974), Gidrometeoizdat, Novosibirsk
186. (in Russian). Marchuk G.I., Dymnikov V.P., Galin V.Ya., et al. The hydrodynamic model of the global atmosphere and ocean circulation (1975)
187. 33 pp. Marchuk G.I., Dymnikov V.P., and Lykosov V.B. On the relation between index cycles of the atmosphere circulation and spatial spectrum of the kinetic energy in the model of the general circulation of the atmosphere. Tech. Memo. 31 (1981), ECMWF, Moscow
188. (in Russian). Marchuk G.I., Dymnikov V.P., Lykosov V.N., Galin V.Ya., Bobyleva I.M., and Perov V.L. The global atmosphere circulation model. Izv. Acad. Sci. USSR Ser. Fiz. Atm. Okeana 15 (1979)
189. (in Russian). Marchuk G.I., Dymnikov V.P., Zalesny V.B., Lykosov V.N., and Galin V.Ya. Mathematical Modelling of the Global Atmosphere and Ocean Circulation (1984), Gidrometeoizdat
190. (in Russian). Marchuk G.I., Kontarev G.R., and Rivin G.S. The short-term weather forecasting based on the whole equations in bounded territory. Izv. Acad. Sci. USSR Ser. Fiz. Atm. Okeana 3 (1967)
191. (in Russian). Marchuk G.I., Kordzadze A.A., and Skiba Yu.N. The computation of main hydrological fields of the Black Sea. Izv. Acad. Sci. USSR Ser. Fiz. Atm. Okeana 14 4 (1975)
192. Marchuk G.I., and Kuzin V. On the combination of finite element and splitting methods in the solution of parabolic equations. J. Comput. Phys. 52 (1983) 237-272
193. (in Russian). Marchuk G.I., and Kuznetsov Yu.A. Iterative Methods and Quadratic Functionals (1972), Nauka, Leningrad
194. Marchuk G.I., and Kuznetsov Yu.A. Méthodes itératives et fonctionnelles quadratiques. Sur les Méthodes Numériques en Sciences Physiques et Economiques. Méthodes Mathématiques de l'Informatique 4 (1974), Dunod, Novosibirsk 3-132
195. (in Russian). Marchuk G.I., and Lebedev V.I. Numerical Methods in the Theory of Neutron Transport (1981), Atomizdat, Paris
196. (in Russian). Marchuk G.I., et al. Mathematical Models of Ocean Circulation (1980), Nauka, Moscow
197. (in Russian). Marchuk G.I., Penenko V.V., and Sultangazin U.M. On the solution of the kinetic equation by the splitting method. Numerical Methods in Transport Theory (1969), Atomizdat, Novosibirsk
198. In: Marchuk G.I., and Sarkisyan A.S. (Eds). Mathematical Models of Ocean Circulation (1980), Nauka, Moscow
199. (in Russian). Marchuk G.I., and Skiba Yu.N. The numerical computation of the conjugate problem in the model of theoretical interaction between atmosphere, oceans and continents. Izv. Acad. Sci. USSR Ser. Fiz. Atm. Okeana 12 5 (1976)
200. (in Russian). Marchuk G.I., and Sultangazin U.M. On the convergence of the splitting method for the equations of radiation transport. Dokl. Acad. Sci. USSR 161 1 (1965)
201. (in Russian). Marchuk G.I., and Sultangazin U.M. On the solution of the kinetic transport equation by the splitting method. Dokl. Acad. Sci. USSR 163 4 (1965)
202. (in Russian). Marchuk G.I., and Sultangazin U.M. On the grounding of the splitting method for the equation of radiation transport. Zh. Vychisl. Mat. i Mat. Fiz. 5 5 (1965)
203. (in Russian). Marchuk G.I., and Yanenko N.N. The solution of the multidimensional kinetic equation by the splitting method. Dokl Acad. Sci. USSR 156 6 (1964)
204. (in Russian). Marchuk G.I., and Yanenko N.N. Application of the splitting (fractional steps) method to the solving of problems in mathematical physics. Some Aspects of Numerical and Applied Mathematics (1966), Nauka, Novosibirsk
205. (in Russian). Marchuk G.I., and Zalesny V.B. The numerical model of the large-scale circulation in the World Ocean. Numerical Methods for Computation of Ocean Currents (1974)
206. (in Russian). Meladze G. The schemes of increased order of accuracy for systems of elliptic and parabolic equations. Zh. Vychisl. Mat. i Mat. Fiz. 10 2 (1970)
207. Mesinger F., and Arakawa A. Numerical Methods Used in Atmospheric Models. GARP Publ. Series 17 (1976) 135
208. Migual O., Pinsky P., and Taylor R. Operator split methods for the numerical solution of the elastoplastic dynamic problem. Comput. Methods Appl. Engrg. 39 (1983) 137-157
209. Mitchell A., and Fairweather G. Improved forms of the alternating direction methods of Douglas, Peaceman and Rachford for solving
210. Morris J. On the numerical solution of a heat equation associated with a thermal print-head. J. Comput. Phys. 5 (1970) 208-228
211. (in Russian). Moskolkov M.N. On the family of the difference schemes for quasi-linear parabolic equation. Zh. Vychisl. Mat. i Mat. Fiz. 9 6 (1969)
212. Nicols B. Recent extensions to the MAC method for incompressible fluid flows. Proceedings Second International Conference on Numerical Methods in Fluid Dynamics. Lecture Notes on Physics (1971), Springer, Novosibirsk
213. (in Russian). Nicols B. Further development of the method of markers and cells for incompressible fluid flows. Numerical Methods in Fluid Mechanics (1973), Mir, Berlin
214. Oliphant T. An implicit, numerical method for solving two-dimensional time-dependent diffusion problems. Quart. Appl. Math. 19 3 (1961)
215. Peaceman D.W., and Rachford Jr. H.H. The numerical solution of parabolic and elliptic differential equations. J. SIAM 3 (1955) 28-42
216. Pearcy C. On convergence of alternating direction procedures. Numer. Math. 4 (1962) 172-176
217. (in Russian). Penenko V.V., and Aloyan A.Ye. Some applications of the splitting method for the problems in mesometerology. Tr. Zap. Sib. Reg. N. I. Gidrometeorol. In-t 14 (1975)
218. (in Russian). Penenko V.V., Sultangazin U.M., and Balash B.A. The solution of the kinetic equation by the splitting method. Numerical Methods in Transport Theory (1969), Atomizdat, Moscow
219. (in Russian). Popov Yu.P., and Samarskii A.A. Completely conservative difference schemes for the equations of magnetic hydrodynamics. Zh. Vychisl. Mat. i Mat. Fiz. 10 4 (1970)
220. (in Russian). Pracht W. The implicit method for the computation of creeping with application to the problem of continental drift. Numerical Methods in Fluid Mechanics (1973), Mir, Moscow
221. (in Russian). Pysta S. The splitting difference schemes for systems of mixed differential equations. Zh. Vychisl. Mat. i Mat. Fiz. 9 4 (1969)
222. Rachford Jr. H.H. Rounding errors in alternating direction methods for parabolic problems. Apl. Mat. 13 (1968) 177-180
223. Raviart P. Sur l'approximation de certaines équations d'évolution linéaires et non-linéaires. J. Math. Pures Appl. 46 (1967) 11-107
224. Raviart P. Sur l'approximation de certaines équations d'évolution linéaires et non-linéaires. J. Math. Pures Appl. 46 (1967) 109-183
225. Reid J. On the method of conjugate gradients for the solution of large sparse systems of linear equations. Large Sparse Sets of Linear Equations (1971), Academic Press 231-251
226. (in Russian). Richtmyer R.D., and Morton K.W. Difference Methods for Boundary Value Problems (1972), Mir, London
227. New York, 14 pp. Rizzi A.W., and Inouye M. A time-split finite volume technique for three-dimensional blunt-body flow. AIAA Paper 133 (1973)
228. Rizzi A.W., and Inouye M. Time finite volume method for three-dimensional blunt-body. AIAA J. 11 (1973) 1478-1485
229. Rizzi A.W., Klavins A., and MacCormack R. A generalized hyperbolic marching technique for three-dimensional supersonic flow with shocks. Lecture Notes in Physics 35 (1975), Springer, Moscow 341-346
230. (in Russian). Rozhdestvensky B.L., and Yanenko N.N. Systems of Quasi-Linear Equations (1968), Nauka, Berlin
231. (in Russian). Rusanov V.V. On the stability of the matrix sweep method. Numerical Mathematics 6 (1960), Mir, Moscow
232. (in Russian). Ryabenkii V.S., and Filippov A.F. On the Stability of Difference Equations (1956), Gostekhizdat, Moscow
233. (in Russian). Samarskii A.A. A priori estimates for the solution of the difference analogue of a parabolic differential equation. Zh. Vychisl. Mat. i Mat. Fiz. 1 (1961) 441-460
234. (in Russian). Samarskii A.A. A priori estimates for difference equations. Zh. Vychisl. Mat. i Mat. Fiz. 1 (1961) 972-1000
235. (in Russian). Samarskii A.A. The homogeneous difference schemes for nonlinear parabolic equations. Zh. Vychisl. Mat. i Mat. Fiz. 2 1 (1962)
236. (in Russian). Samarskii A.A. On the convergence and accuracy of homogeneous difference schemes for one- and multidimensional parabolic equations. Zh. Vychisl. Mat. i Mat. Fiz. 2 (1962) 603-634
237. (in Russian). Samarskii A.A. On an economical difference method for the solution of a multidimensional parabolic equation in an arbitrary region. Zh. Vychisl. Mat. i Mat. Fiz. 2 (1962) 787-811
238. (in Russian). Samarskii A.A. On the convergence of the method of fractional steps for heat conduction problems. Zh. Vychisl. Mat. i Mat. Fiz. 2 6 (1962)
239. (in Russian). Samarskii A.A. Local one-dimensional difference schemes on non-uniform grids. Zh. Vychisl. Mat. i Mat. Fiz. 3 3 (1963)
240. (in Russian). Samarskii A.A. Schemes of increased order of accuracy for the multi-dimensional heat conduction equation. Zh. Vychisl. Mat. i Mat. Fiz. 3 5 (1963)
241. (in Russian). Samarskii A.A. On the economical algorithm for the numerical solution of a system of differential and algebraic equations. Zh. Vychisl. Mat. i Mat. Fiz. 4 3 (1964)
242. (in Russian). Samarskii A.A. Local one-dimensional difference schemes for multidimensional hyperbolic equations in an arbitrary domain. Zh. Vychisl. Mat. i Mat. Fiz. 4 4 (1964)
243. (in Russian). Samarskii A.A. Economical difference schemes for a hyperbolic system of equations with mixed derivatives and their application to the equations of the theory of elasticity. Zh. Vychisl. Mat. i Mat. Fiz. 5 1 (1965)
244. (in Russian). Samarskii A.A. On the additivity principle in constructing economical difference schemes. Dokl. Acad. Sci. USSR 165 6 (1965)
245. (in Russian). Samarskii A.A. The additive schemes. Thesis of the Reports on the International Mathematicians Congress in Moscow (1966)
246. (in Russian). Samarskii A.A. The classes of stable schemes. Zh. Vychisl. Mat. i Mat. Fiz. 7 5 (1967)
247. (in Russian). Samarskii A.A. Some Aspects of the General Theory of Difference Schemes: Partial Differential Equations (1970), Nauka, Moscow
248. (in Russian). Samarskii A.A. Introduction to the Theory of Difference Schemes (1971), Nauka, Moscow
249. (in Russian). Samarskii A.A. The Theory of Difference Schemes (1977), Nauka, Moscow
250. (in Russian). Samarskii A.A., and Andreev V.B. On the difference schemes of increased order of accuracy for the elliptic equation with several spatial variables. Zh. Vychisl. Mat. i Mat. Fiz. 3 6 (1963)
251. (in Russian). Samarskii A.A., and Andreev V.B. Iterative alternating direction schemes for the numerical solution of the Dirichlet problem. Zh. Vychisl. Mat. i Mat. Fiz. 4 6 (1964)
252. (in Russian). Samarskii A.A., and Andreev V.B. The Difference Schemes for Elliptic Equations (1976), Nauka, Moscow
253. (in Russian). Samarskii A.A., and Fryazinov I.V. On the convergence of homogeneous difference schemes for a heat conduction equation with discontinuous coefficients. Zh. Vychisl. Mat. i Mat. Fiz. 1 (1961) 806-824
254. (in Russian). Samarskii A.A., and Fryazinov I.V. On the convergence of the local one-dimensional scheme for the multidimensional heat conduction equation on non-uniform grids. Zh. Vychisl. Mat. i Mat. Fiz. 11 3 (1971)
255. (in Russian). Samarskii A.A., and Gulin A.V. The Stability of Difference Schemes (1973), Nauka, Moscow
256. (in Russian). Samarskii A.A., and Nikolaev E.S. Methods for Solving Grid Equations (1978), Nauka, Moscow
257. (in Russian). Samarskii A.A., and Popov Yu.P. Difference Schemes for Gas Dynamics (1975), Nauka, Moscow
258. (in Russian). Saul'ev V.K. Integration of Parabolic Equations by the Grid Method (1960), Fizmatgiz, Moscow
259. Scott W., and Roger P. A more accurate method for the numerical solution of non-linear partial differential equations. J. Comput. Phys. 49 (1983) 342-348
260. (in Russian). Smelov V.V. Lectures on the Neutron Transport Theory (1978), Atomizdat, Moscow
261. (in Russian). Sofronov I.D. The difference scheme with diagonal directions of sweeps for a heat conduction equation. Zh. V ychisl. Mat. i Mat. Fiz. 5 (1965)
262. (in Russian). Strang G., and Fix G. The Theory of the Finite Element Method (1977), Mir, Moscow
263. Preprint. Sultangazin U.M. On the foundation of the method of weak approximation for the spherical harmonics equation. (in Russian) (1971), Sib. Otd. Acad. Sci. USSR, Moscow
264. (in Russian). Sultangazin U.M. The Methods of Spherical Harmonics and Discrete Ordinates in Problems in Kinetic Transport Theory (1979), Nauka, Novosibirsk
265. Temam R. Sur la stabilité et la convergence de la méthode des pas fractionnaires. Ann. Mat. Pura Appl. 79 4 (1968)
266. Temam R. Sur l'approximation de la solution des équations de Navier-Stokes par la méthode des pas fractionnaires. Arch. Rational Mech. Anal. 32 (1969) 135-153
267. Temam R. Quelques méthodes de décomposition en analyse numérique. Acte du Congrès International des Mathématiques 3 (1970)
268. (in Russian). Temam R. Navier-Stokes Equation and Numerical Analysis (1981), Mir, Alma-Ata
269. Thompson R.J. Difference approximations for inhomogeneous and quasi-linear equations. J. SIAM 12 (1964) 189-199
270. (in Russian). Tikhonov A.N., and Samarskii A.A. Homogeneous difference schemes. Zh. Vychisl. Mat. i Mat. Fiz. 1 (1961) 5-63
271. Todd J. Inequalities of Chebyshev, Zolotareff, Caur and W.B. Jordan. Proceedings Symposium on Inequalities. Wright-Patterson Air Force Base, Dayton, OH (1967), Academic Press, Moscow 321-328
272. (in Russian). Valiulin A.N., and Yanenko N.N. Economical diffeence schemes of increased accuracy for a polyharmonic equation. Izv. Sib. Otd. Acad. Sci. USSR Ser. Tekhn. Nauk 13 3 (1967)
273. Varga R.S. Matrix Iterative Analysis (1962), Prentice-Hall, New York
274. (in Russian). Vasilyev O.R., Kuznetsov B.G., Lytkin Yu.M., and Chernykh G.P. The evolution of a turbulent fluid domain in a stratified medium. Izv. Acad. Sci. USSR Mekh. Zhidk. Gasa 3 (1974)
275. Viecelli J. A computing method for incompressible flows bounded by moving walls. J. Comput. Phys. 8 (1971) 119-143
276. (in Russian). Vorobyev Yu.V. The stochastic iterative process in the alternating direction method. Zh. Vychisl. Mat. i Mat. Fiz. 8 3 (1968)
277. Wachpress E. Optimum alternating direction implicit iteration parameters for a model problem. J. SIAM 10 (1962) 339-350
278. Wachpress E. Extended application of alternating direction implicit iteration model theory. J. SIAM 11 (1963) 991-1016
279. Wachpress E. Iterative Solution of Elliptic Systems and Applications to the Neutron Diffusion Equations of Reactor Physics (1966), Prentice-Hall, Englewood Cliffs, NJ
280. Wachpress E., and Habetler G. An alternating direction implicit iteration technique. J. SIAM 8 (1960) 403-424
281. Wang G. The splitting schemes for solving the initial and boundary value problems of hyperbolic partial differential equation. J. Nanjing Univ. Natur. Sci. Ed. 1 (1984) 21-38
282. Warming R., Kutler P., and Lomax H. Second- and third-order non-centred difference schemes for non-linear hyperbolic equations. AIAA J. 11 (1973) 189-196
283. (in Russian). Wasow W., and Forsythe G. Finite Difference Methods for Partial Differential Equations (1963)
284. Widlund O. On the rate of an alternating direction implicit method in a non-commutative case. Math. Comp. 20 (1966)
285. Widlund O. On the effects of scaling of the Peaceman-Rachford method. Math. Comp. 25 (1971)
286. Wilke H. Zur Anwendung der SMAS-Methode bei der Behandlung hydrodynamischer insbesondere grenzflachendynamischer Probleme. Chem. Tech. 26 (1974) 456-457
287. (in Russian). Yanenko N.N. On the difference method for multidimensional heat conduction equation. Dokl. Acad. Sci. USSR 125 6 (1959)
288. Moscow (in Russian). Yanenko N.N. Simple implicit schemes for multidimensional problems. Dokl. Vsesoyuzn. Soveshch. Vychisl. Mat. Vychisl. Tekhn. (1959)
289. (in Russian). Yanenko N.N. On the economical implicit schemes (the method of fractional steps). Dokl. Acad. Sci. USSR 134 5 (1960)
290. (in Russian). Yanenko N.N. On the implicit difference schemes for a multidimensional heat conduction equation. Izv. Vuzov Mat. 4 23 (1961)
291. (in Russian). Yanenko N.N. On the convergence of the splitting method for a heat conduction equation with varying coefficients. Zh. Vychisl. Mat. i Mat. Fiz. 2 5 (1962)
292. (in Russian). Yanenko N.N. Some Aspects of the Theory of Convergence of Difference Schemes with Constant and Varying Coefficients. Trudy IV Vsesoyuzn. Mat. S'ezda 2 (1964), Nauka, Englewood Cliffs, NJ
293. (in Russian). Yanenko N.N. On the weak approximation to systems of differential equations. Sibirsk Mat. Zh. 5 6 (1964)
294. (in Russian). Yanenko N.N. The Method of Fractional Steps for Multidimensional Problems in Mathematical Physics. Lectures for students of NGU (1966), Novosibirsk Gos. Univ., Moscow
295. (in Russian). Yanenko N.N. The Method of Fractional Steps for Multidimensional Problems in Mathematical Physics (1967), Nauka, Novosibirsk
296. (in Russian). Yanenko N.N. Modern numerical methods for problems in mechanics of continuous media. Proceedings International Mathematics Congress (1972), Nauka, Novosibirsk
297. (in Russian). Yanenko N.N. Difference Methods for Problems in Mathematical Physics. Trudy MIAN SSSR 22 (1973), Nauka, Moscow
298. (in Russian). Yanenko N.N., Anuchina N.N., Petrenko V.Ye., and Shokin Yu.I. On the methods for gas dynamics problems with large deformations. Numerical Methods in Mechanics of Continuous Media (1970), Nauka, Moscow
299. (in Russian). Yanenko N.N., Anuchina N.N., Petrenko V.Ye., and Shokin Yu.I. On the methods for computation of the fluid flows with large deformations and the approximation viscosity of difference schemes. Proceedings 2nd International Colloquium on Gas Dynamics of Explosion and Reacting Systems (1971)
300. (in Russian). Yanenko N.N., and Boyarintsev Yu.Ye. On the convergence of the difference schemes for a heat conduction equation with varying coefficients. Dokl. Acad. Sci. USSR 139 6 (1961)
301. (in Russian). Yanenko N.N., and Demidov G.V. The method of weak approximation as the constructive method for solving a Cauchy problem. Some Aspects of Numerical and Applied Mathematics (1966), Nauka, Novosibirsk
302. (in Russian). Yanenko N.N., Suchkov V.A., and Pogodin Yu.Ya. On the difference solution of the heat conduction equation in curvilinear coordinates. Dokl. Acad. Sci. USSR 128 5 (1959)
303. (in Russian). Yanenko N.N., and Yaushev I.K. On the absolutely stable scheme for integrating hydrothermodynamic equations. Difference Methods for Problems in Mathematical Physics. Trudy MIAN 74 (1966), Nauka, Novosibirsk
304. Young D. Iterative Solution of Large Linear Systems (1971), Academic Press, Moscow
305. Young J.A., and Hort C.W. Numerical calculation of internal wave motions. J. Fluid Mech. 56 (1972) 265-276
306. (in Russian). Zalesny V.B. Modelling of Large-Scale Motions in World Ocean (1984), OVM Acad. Sci. USSR, New York
307. Zalesny V.B. Numerical model of ocean dynamics based on the splitting method. Sov. J. Numer. Anal. Math. Modelling 1 2 (1985) 1-22
308. Zeng Q., and Zhang X. Perfectly energy-conservative time-space finite difference schemes and the consistent split method to solve the dynamical equations of compressible fluid. Sci. Sinica Ser. B 25 (1982) 866-880