Глава 3

Gear С. W. (1971). Numerical Initial Value Problems in Ordinary Differential

Equations (Prentice-Hall, Englewood Cliffs, N. J.). Hamming R. W. (1973). Numerical Methods for Scientists and Engineers, 2nd

ed. (McGraw-Hill, New York). [Имеется перевод: Хемминг P. В. Численные

методы для научных работников и инженеров. - М.: Наука, 1968]. Liepman Н., Roshko А. (1957). Elements of Gas Dynamics (Wiley, New York).

(Имеется перевод: Липман Г. В., Рошко А. Элементы газовой динамики. -

М.: ИЛ, I960.]

Глава 4

Carnahan В., Luther Н. А., Wilkes J. О. (1969). Applied Numerical Analysis (Wiley, New York).

Dahlquist G., Bjorck A. (1974). Numerical Methods, trans by N. Anderson

(Prentice-Hall, Englewood Cliffs, N. J.). Finlayson B. A. (1980). Nonlinear Analysis in Chemical Engineering (McGrau-

Hill, New York). Fletcher C. A. J. (1983). J. Comput. Phys., 51, p. 159-188. Hindmarsh A. C, Gresho P. M., Griffiths D. F. (1984). Int. J. Numer. Methods

Fluids, 4, p. 853-897. Isaacson E., Keller H. B. (1966). Analysis of Numerical Methods (Wiley, New

York).

Mitchel A. R., Griffiths D. F. (1980). The Difference Method in Partial Differential Equations (Wiley, Chichester).

Morton K. W. (1980). Int. J. Numer. Methods Eng., 15, p. 677-683.

Neye J. (1984). Chap. 2 in Numerical Solution of Differential Equations, ed. by J. Noye (North-Holland, Amsterdam).

Richtmyer R. D., Morton K. W. (1967). Difference Methods for Initial-Value Problems (Interscience, New York). [Имеется перевод: Рихтмайер P. Д., Мортон К. Разностные методы решения краевых задач. - М.: Мир, 1972.]

-Smith G. D. (1965). Nonlinear Solution of Partial Differential Equations (Oxford University Press, Oxford).

Sod G A. (1985). Numerical Methods in Fluid Dynamics (Cambridge University Press, Cambridge).

Trapp J. A, Ramshaw J. D. (1976). J. Comput. Phys., 20, p. 238-242.

Глава 5

Baker A. J. (1983). Finite Element Computational Fluid Mechanics (McGraw-Hill, New York).

Bathe K. J., Wilson E. L. (1976). Numerical Methods in Finite Element Analysis (Prentice-Hall, Englewood Cliffs, N. J.).

Bourke W., McAvaney В., Puri K., Thurling R. (1977). Methods Comput. Phvs., 17, p. 267-325.

Brigham E. O. (1974). The Fast Fourier Transform (Prentice-Hall, Englewood Cliffs, N J).

Canuto С Hussaini M. Y., Quateroni A., Zang T. A. (1987). Spectral Methods in Fluid Dynamics, Springer Ser. Comput. Phys. (Springer, Berlin, Heidelberg).

Cooley J. W., Tukey J. W. (1965). Math. Comp, 19, p. 297-301.

Finlayson B. A. (1972). The Method of Weighted Residuals and Variational Principles (Academic, New York).

Finlayson B. A. (1980). Nonlinear Analysis in Chemical Engineering: (McGraw-Hill, New York).

Fletcher C. A. J. (1984). Computational Galerkin Methods, Springer Ser. Comput. Phys. (Springer, Berlin, Heidelberg). {Имеется перевод: Флетчер К. Численные методы на основе метода Галёркина. - М.: Мир, 1988.]

Fox L., Parker I. B. (1968). Chebyshev Polynomials in Numerical Analysis (Oxford University Press, Oxford).

Gottlieb D., Orszag S. A. (1977). Numerical Analysis of Spectral Methods: Theory and Application (SIAM, Phyladelphia).

Haltiner G. J., Williams R. T. (1980). Numerical Prediction and Dynamics Meteorology, 2nd ed. (Wiley, New York).

Isaacson E., Keller H. B. (1966) An Analysis of Numerical Methods (Wiley, New York).

Jameson A., Bader T. J. (1986). Euler Calculations for a Complete Aircraft.- In: Proc. Tenth Int. Conf. Numerical Methods in Fluid Dynamics, Beijing, Lecture Notes in Physics, Vol. 264 (Springer, Berlin, Heidelberg), p. 334- 344.

Jennings A. (1977). Matrix Computation for Engineers and Scientists (Wiley, Chichester).

Ku H. C, Hatziavramidis D. (1984). J. Comput. Phys 56, p. 495-512. Ku H. C, Taylor T. D., Hirsch R. S. (1987). Comput. Fluids, 15, p. 195- 214.

Lax P., Wendroff B. (1960). Commun. Pure Appl. Math., 13, p. 217-237.

Mitchell A. R., Wait R. (1977). The Finite Element Method in Partial Differential Equations (Wiley, Chichester).

Oden J. Т., Reddy J. N. (1976). An Introduction to the Mathematical Theory of Finite Elements (Wiley, New York).

Orszag S. A. (1971). Stud. AppL Math., 50, p. 293-327.

Orszag S. A. (1977). Numerical Simulation of Turbulent Flow.- In: Handbook of Turbulence, ed. by W. Frost, T. H. Moulden (Plenum, New York), p. 281-313.

Peyret R. (1986). Introduction to Spectral Methods, Lect. Ser. 1986-04, Von Karman Inst, for Fluid Dynamics, Belgium.

Peyret R., Taylor T. D. (1983). Computational Methods for Fluid Flow, Springer Ser. Comput. Phys. (Springer, New York, Berlin, Heidelberg).

Strang G., Fix G. J. (1973). An Analysis of the Finite Element Method (Prentice-Hall, Englewood Cliffs, N. J ).

Thomasset F. (1981). Implementation of Finite Element Methods for Navier - Stokes Equation, Springer Ser. Comput. Phys. (Springer, Berlin, Heidelberg).

Voigt R. G., Gottlieb D., Hussaini M. Y. (1984). Spectral Methods for Partial Equations (SIAM, Philadelphia).

Zienkiewicz O. C. (1977). The Finite Element Method, 3rd ed. (McGraw-Hill, London). [Имеется перевод 1-го изд.: Зенкевич О. Метод конечных элементов в технике. - М.: Мир, 1975.]

Глава 6

Axelsson О., Gustafsson I. (1979). J. Inst. Math. Its Appl., 23, p. 321-337. Brandt A. (1977). Math. Comput., 31, p. 333-390.

Brigham E. O. (1974). The Fast Fourier Transform (Prentice-Hall, Englewood

Cliffs, N. J.). Broyden C. (1965). Math. Comput., 19, p. 577-593.

Coolev J. W., Lewis P. A. W., Welch P. D. (1970). J Sound and Vibrations, 12, p. 315-337.

Dahlquist G., Bjorck A. (1974). Numerical Methods, trans, by N. Anderson

(Prentice-Hall, Englewood Cliffs, N. J.). Dorr F. W. (1970). SIAM Rev., 12, p. 248-263.

Duff I. S. (1981). A Sparse Future. -In: Sparse Matrices and Their Uses,

ed. by I. S. Duff (Academic, London), p. 1-29. Engelman M. S., Strang G., Bathe K. J. (1981). Int. J. Numer. Methods Eng.,

17, p. 707-718.

Fletcher С. А. J. (1983). Int. J. Numer. Methods Fluids, 3, p. 213-216.

Fletcher R. (1976). In: Numerical Analysis, ed. by G. A. Watson, Lecture Notes in Mathematics, Vol. 506 (Springer, Berlin, Heidelberg).

Fletcher R. (1980). Practical Methods of Optimization, Vol. 1. Unconstrained Optimization (Wiley, Chichester).

Forsythe G. E., Malcolm M. A., Moler C. B. (1977). Computer Methods for Mathematical Computations (Prentice-Hall, Englewood Cliffs, N. J.).

Gerald C. (1978). Applied Numerical Analysis, 2nd ed. (Addison-Wesley, Reading, Mass.).

Hackbusch W. (1985). Multigrid Methods and Applications, Springer Ser. Comput. Math. (Springer, Berlin, Heidelberg).

Hageman L. A., Young D. M. (1981). Applied Iterative Methods (Academic, New York).

Hestenes M. R., Stiefel E. L. (1952). Nat. Bur. Stand. J. Res., 49, p. 409- 436.

Носкпеу R. W. (1970). Meth. Сотр. Phys., 9, p. 135-211. Носкпеу R. W., Jesshope C. R. (1981). Parallel Computers (Adam Hilger, Bristol).

Isaacson E., Keller H. B. (1966). Analysis of Numerical Methods (Wiley, New York).

Jackson C. P., Robinson P. C. (1985). Int. J. Numer. Methods Eng., 21, p. 1315-1338.

Jennings A. (1977a). Matrix Computation for Engineers and Scientists (Wiley,. Chichester).

Jennings A. (1977b). J. Inst. Math. Its Appl., 20, p. 61-72.

Khosla P. K., Rubin S. G. (1981). Comput. Fluids, 9, p. 109-121.

Lin A. (1985). Int. J. Numer. Methods Fluids, 5, p. 381-391.

Markham G. (1984). A Survey of Preconditioned Conjugate-Gradient-type

Methods Applied to Asymmetric Systems, CERL Report TPRD/L/AP

137/N83.

Ortega J. M., Rheinboldt W. C. (1970). Iterative Solution of Nonlinear Equations in Several Variables (Academic, New York).

Powell M. J. D. (1976). A View of Unconstrained Optimization. - In: Optimization in Action, ed. by L. C. W. Dixon (Academic, London), p. 117-152.

Rheinboldt W. C. (1974). On the Solution of Large, Sparce Sets of Nonlinear Equations, TR-324, University of Maryland.

Rubin S. G., Khosla P. K. (1981). Сотр. Fluids, 9, p. 163-180.

Schneider G. E., Zedan M. (1981). Numer. Heat Transfer, 4, p. 1 - 19.

Shanno D. F. (1983). Comput. Chem. Eng., 7, p. 569-574.

Sonneveld P., Wesseling P., de Zeeuw P. M. (1985). In: Multigrid Methods for Integral and Differential Equations, ed. by D. J. Paddon, H. Holstein (Oxford Science Publication, Oxford), p. 117-167.

Stone H. L. (1968). SIAM J. Numer. Anal., 5, p. 530-558.

Stuben K., Trottenberg U. (1982). In: Multigrid Methods, ed. by W. Hackbusch, U. Trottenberg, Lecture Notes in Mathematics, Vol. 960 (Springer,. Berlin, Heidelberg).

Swartztrauber P. N. (1977). SIAM Rev., 19, p. 490-501.

Varga R. (1962). Matrix Iteratve Analysis (Prentice-Hall, Englewood Cliffs, N. J.).

Vinsome P. K. W. (1976). ORTHOMIN, An Iterative Method for Solving Sparse Sets of Simultaneous Linear Equations. - In: Proc. 4th. Symp. on Reservoir Engineering (SPE of AIME, Los Angeles), p. 150-159.

Wachpress E. L. (1966). Iterative Solution of Elliptic Systems and Applications to the Neutron Diffusion Equations of Reactor Physics (Prentice-Hall, Englewood Cliffs, N. J.).

Zedan M., Schneider G. E. (1985). Numer. Heat Transfer, 8 p. 537-557.