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Bibliografia sobre Métodos Numericos: Livros Clássicos, Notas de estudo de Engenharia Elétrica

Universidade Federal de Santa Catarina (UFSC)Engenharia Elétrica

Esta bibliografia contém referências a livros clássicos sobre métodos numericos, incluindo obras sobre equações diferenciais, integração numérica, equações diferenciais ordinárias, equações diferenciais parciais e outros temas relacionados. Alguns destes livros são clássicos na área e são frequentemente usados como referências em estudos e pesquisas.

Tipologia: Notas de estudo

Antes de 2010

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BIBLIOGRAPHY
[AG] Allgower, E. and K. Georg, Numerical continuation methods: an introduction, Springer-
Verlag, New York, 1990, 388 pp. QA377.A56.
[Am] Ames, W. F., Numerical methods for partial differential equations, (Third edition),
Academic Press, New York, 1992, 451 pp. QA374.A46.
[An] Anderson, E., et al., LAPACK user’s guide, (Second edition), SIAM Publications,
Philadelphia, PA, 1995, 325 pp. QA76.73.F25 L36.
[AS] Argyros, I. K. and F. Szidarovszky, The theory and applications of iteration methods,
CRC Press, Boca Raton, FL, 1993, 355 pp. QA297.8.A74.
[AMR] Ascher,U.M.,R.M.M.Mattheij,andR.B.Russell,Numerical solution of boundary
value problems for ordinary differential equations, Prentice-Hall, Englewood Cliffs,
NJ, 1988, 595 pp. QA379.A83.
[Ax] Axelsson, O., Iterative solution methods, Cambridge University Press, New York,
1994, 654 pp. QA297.8.A94.
[AB] Axelsson, O. and V. A. Barker, Finite element solution of boundary value problems:
theory and computation, Academic Press, Orlando, FL, 1984, 432 pp. QA379.A9.
[BSW] Bailey, P. B., L. F. Shampine, and P. E. Waltman, Nonlinear two-point boundary-
value problems, Academic Press, New York, 1968, 171 pp. QA372.B27.
[BBEPVR ] Barrett, R., et al., Templates for the solution of linear systems: building blocks for
iterative methods, SIAM Publications, Philadelphia, PA, 1994, 112 pp. QA297.8.T45.
[Bek] Bekker, M. G., Introduction to terrain vehicle systems,UniversityofMichiganPress,
Ann Arbor, MI, 1969, 846 pp. TL243.B39.
[Ber] Bernadelli, H., Population waves, Journal of the Burma Research Society 31 (1941),
1–18, DS527.B85.
[Bra] Bramble, J.H., Multigrid methods, John Wiley & Sons, New York, 1993, 161 pp.
QA377.B73.
[Bre] Brent, R., Algorithms for minimization without derivatives, Prentice-Hall, Engle-
wood Cliffs, NJ, 1973, 195 pp. QA402.5.B74.
[Bri] Briggs, W. L., A multigrid tutorial, SIAM Publications, Philadelphia, PA, 1987, 88
pp. QA377.B75.
[BH] Briggs, W. L. and V. E. Henson, The DFT: an owner’s manual for the discrete
Fourier transform, SIAM Publications, Philadelphia, PA, 1995, 434 pp. QA403.5.B75.
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BIBLIOGRAPHY

[AG] Allgower, E. and K. Georg, Numerical continuation methods: an introduction, Springer- Verlag, New York, 1990, 388 pp. QA377.A56.

[Am] Ames, W. F., Numerical methods for partial differential equations, (Third edition), Academic Press, New York, 1992, 451 pp. QA374.A46.

[An] Anderson, E., et al., LAPACK user’s guide, (Second edition), SIAM Publications, Philadelphia, PA, 1995, 325 pp. QA76.73.F25 L36.

[AS] Argyros, I. K. and F. Szidarovszky, The theory and applications of iteration methods, CRC Press, Boca Raton, FL, 1993, 355 pp. QA297.8.A74.

[AMR] Ascher, U. M., R. M. M. Mattheij, and R. B. Russell, Numerical solution of boundary value problems for ordinary differential equations, Prentice-Hall, Englewood Cliffs, NJ, 1988, 595 pp. QA379.A83.

[Ax] Axelsson, O., Iterative solution methods, Cambridge University Press, New York, 1994, 654 pp. QA297.8.A94.

[AB] Axelsson, O. and V. A. Barker, Finite element solution of boundary value problems: theory and computation, Academic Press, Orlando, FL, 1984, 432 pp. QA379.A9.

[BSW] Bailey, P. B., L. F. Shampine, and P. E. Waltman, Nonlinear two-point boundary- value problems, Academic Press, New York, 1968, 171 pp. QA372.B27.

[ BBEPVR ] Barrett, R., et al., Templates for the solution of linear systems: building blocks for iterative methods, SIAM Publications, Philadelphia, PA, 1994, 112 pp. QA297.8.T45.

[Bek] Bekker, M. G., Introduction to terrain vehicle systems, University of Michigan Press, Ann Arbor, MI, 1969, 846 pp. TL243.B39.

[Ber] Bernadelli, H., Population waves, Journal of the Burma Research Society 31 (1941), 1–18, DS527.B85.

[Bra] Bramble, J.H., Multigrid methods, John Wiley & Sons, New York, 1993, 161 pp. QA377.B73.

[Bre] Brent, R., Algorithms for minimization without derivatives, Prentice-Hall, Engle- wood Cliffs, NJ, 1973, 195 pp. QA402.5.B74.

[Bri] Briggs, W. L., A multigrid tutorial, SIAM Publications, Philadelphia, PA, 1987, 88 pp. QA377.B75.

[BH] Briggs, W. L. and V. E. Henson, The DFT: an owner’s manual for the discrete Fourier transform, SIAM Publications, Philadelphia, PA, 1995, 434 pp. QA403.5.B75.

Typeset by AMS-TEX

[Brigh] Brigham, E. O., The fast Fourier transform, Prentice-Hall, Englewood Cliffs, NJ, 1974, 252 pp. QA403.B74.

[BF] Burden, R. L., and J. D. Faires, Numerical Analysis, (Seventh edition), Brooks-Cole, Pacific Grove, CA, 2001, 841 pp. QA297.B84 2001.

[Bur] Burrage, K., Parallel and sequential methods for ordinary differential equations, Ox- ford University Press, New York, 1995, 446 pp. QA372.B883.

[CF] Chaitin-Chatelin, F. and Fraysse, V., Lectures on finite precision computations, SIAM Publications, Philadelphia, PA, 1996, 235 pp. QA297.C417.

[Ch] Cheney, E. W., Introduction to approximation theory, McGraw-Hill, New York, 1966, 259 pp. QA221.C47.

[CC] Clenshaw, C. W. and C. W. Curtis, A method for numerical integration on an au- tomatic computer, Numerische Mathematik 2 (1960), 197–205, QA241.N9.

[CT] Cooley, J. W. and J. W. Tukey, An algorithm for the machine calculation of com- plex Fourier series, Mathematics of Computation 19, No. 90 (1965), 297–301, QA1.M4144.

[Cr] Crowell, W. (ed.), Sources and development of mathematical software, Prentice-Hall, Englewood Cliffs, NJ, 1984, 404 pp. QA76.95.S68.

[Da] Davis, P. J., Interpolation and Approximation, Dover, New York, 1975, 393 pp. QA221.D33.

[DR] Davis, P. J. and P. Rabinowitz, Methods of numerical integration, Academic Press, New York, 1975, 459 pp. QA299.3.D28.

[De] De Boor, C., A practical guide to splines, Springer-Verlag, New York, 1978, 392 pp. QA1.A647 vol. 27.

[DS] Dennis, J. E., Jr. and R. B. Schnabel, Numerical methods for unconstrained opti- mization and nonlinear equations, Prentice-Hall, Englewood Cliffs, NJ, 1983, 378 pp. QA402.5.D44.

[Di] Dierckx, P., Curve and surface fitting with splines, Oxford University Press, New York, 1993, 285 pp. QA297.6.D54.

[Do] Dormand, J. R., Numerical methods for differential equations: a computational ap- proach, CRC Press, Boca Raton, FL, 1996, 368 pp. QA372.D67.

[DB] Dorn, G. L. and A. B. Burdick, On the recombinational structure of complementa- tion relationships in the m-dy complex of the Drosophila melanogaster, Genetics 47 (1962), 503–518, QH431.G43.

[K,H] Keller, H. B., Numerical methods for two-point boundary-value problems, Blaisdell, Waltham, MA, 1968, 184 pp. QA372.K42.

[K,J] Keller, J. B., Probability of a shutout in racquetball, SIAM Review 26, No. 2 (1984), 267–268, QA1.S2.

[Ko] K¨ockler, N., Numerical methods and scientific computing: using software libraries for problem solving, Oxford University Press, New York, 1994, 328 pp. TA345.K653.

[LP] Lapidus, L. and G. F. Pinder, Numerical solution of partial differential equations in science and engineering, John Wiley & Sons, New York, 1982, 677 pp. Q172.L36.

[LH] Lawson, C. L. and Hanson, R. J., Solving least squares problems, SIAM Publications, Philadelphia, PA, 1995, 337 pp. QA275.L38.

[M] McCormick, S. F., Multigrid methods, SIAM Publications, Philadelphia, PA, 1987, 282 pp. QA374.M84.

[MM] Morton, K. W. and D. F. Mayers, Numerical solution of partial differential equations: an introduction, Cambridge University Press, New York, 1994, 227 pp. QA377.M69.

[ND] Noble, B. and J. W. Daniel, Applied linear algebra, (Second edition), Prentice-Hall, Englewood Cliffs, NJ, 1977, 477 pp. QA184.N6.

[Or] Ortega, J. M., Numerical analysis; a second course, Academic Press, New York, 1972, 201 pp. QA297.O78.

[OR] Ortega, J. M. and W. C. Rheinboldt, Iterative solution of nonlinear equations in several variables, Academic Press, New York, 1970, 572 pp. QA297.8.O77.

[Os] Ostrowski, A. M., Solution of equations and systems of equations, (Second edition), Academic Press, New York, 1966, 338 pp. QA3.P8 vol. 9.

[Pa] Parlett, B., The symmetric eigenvalue problem, Prentice-Hall, Englewood Cliffs, NJ, 1980, 348 pp. QA188.P37.

[PF] Phillips, C. and T. L. Freeman, Parallel numerical algorithms, Prentice-Hall, New York, 1992, 315 pp. QA76.9.A43 F74.

[PDUK] Piessens, R., E. de Doncker-Kapenga, C. W. Uberhuber, and D. K. Kahaner,¨ QUAD- PACK: a subroutine package for automatic integration, Springer-Verlag, New York, 1983, 301 pp. QA299.3.Q36.

[Pi] Pissanetzky, S., Sparse matrix technology, Academic Press, New York, 1984, 321 pp. QA188.P57.

[Po] Powell, M. J. D., Approximation theory and methods, Cambridge University Press, Cambridge, 1981, 339 pp. QA221.P65.

[Ra] Rashevsky, N., Looking at history through mathematics, Massachusetts Institute of Technology Press, Cambridge, MA, 1968, 199 pp. D16.25.R3.

[Ri] Rice, J. R., Numerical methods, software, and analysis: IMSL reference edition, McGraw-Hill, New York, 1983, 661 pp. QA297.R49.

[Sa1] Saad, Y., Numerical methods for large eigenvalue problems, Halsted Press, New York, 1992, 346 pp. QA188.S18.

[Sa2] Saad, Y., Iterative methods for sparse linear systems, PWS-Kent Publishing, Boston, MA, 1996, 447 pp. QA188.S17.

[SP] Sagar, V. and D. J. Payne, Incremental collapse of thick-walled circular cylinders under steady axial tension and torsion loads and cyclic transient heating, Journal of the Mechanics and Physics of Solids 21, No. 1 (1975), 39–54, TA350.J68.

[SD] Sale, P. F. and R. Dybdahl, Determinants of community structure for coral-reef fishes in experimental habitat, Ecology 56 (1975), 1343–1355, QH540.E3.

[Scho] Schoenberg, I. J., Contributions to the problem of approximation of equidistant data by analytic functions, Quarterly of Applied Mathematics 4, (1946), Part A, 45–99; Part B, 112–141, QA1.A26.

[Schu] Schultz, M. H., Spline analysis, Prentice-Hall, Englewood Cliffs, NJ, 1973, 156 pp. QA211.S33.

[Sh] Shampine, L. F., Numerical solution of ordinary differential equations, Chapman & Hall, New York, 1994, 484 pp. QA372.S417.

[ShS] Shashkov, M. and S. Steinberg, Conservative finite-difference methods on general grids, CRC Press, Boca Raton, FL, 1996, 359 pp. QA431.S484.

[Ste] Stewart, G. W., Introduction to matrix computations, Academic Press, New York, 1973, 441 pp. QA188.S7.

[SF] Strang, W. G. and G. J. Fix, An analysis of the finite element method, Prentice-Hall, Englewood Cliffs, NJ, 1973, 306 pp. TA335.S77.

[Str] Strikwerda, J. C., Finite difference schemes and partial differential equations, Brooks/Cole Publishing, Pacific Grove, CA, 1989, 386 pp. QA374.S88.

[StS] Stroud, A. H. and D. Secrest, Gaussian quadrature formulas, Prentice-Hall, Engle- wood Cliffs, NJ, 1966, 374 pp. QA299.4.G4 S7.

[Sz] Sz¨usz, P., Math bite, Mathematics Magazine 68, No. 2 (1995), 97, QA1.N28.

[Th] Thomas, J. W., Numerical partial differential equations, Springer-Verlag, New York, 1995, 445 pp. QA377.T495.