Numerical Analysis: Introductory Texts

* Atkinson, Kendall E. Elementary Numerical Analysis New York, NY: John Wiley, 1978, 1985.

*** Burden, Richard L. and Faires, J. Douglas. Numerical Analysis, Boston, MA: PWS-Kent, 1989. Fourth Edition.

Cheney, Elliot W. and Kincaid, David R. Numerical Mathematics and Computing, Pacific Grove, CA: Brooks/Cole, 1980, 1985. Second Edition.

* Conte, Samuel D. and de Boor, Carl. Elementary Numerical Analysis: An Algorithmic Approach, New York, NY: McGraw-Hill, 1972, 1980. Third Edition.

** Davis, Philip F. and Rabinowitz, Philip. Methods of Numerical Integration, New York, NY: Academic Press, 1975, 1984. Second Edition.

Dorn, William S. and McCracken, Daniel D. Numerical Methods with FORTRAN IV Case Studies New York, NY: John Wiley, 1972.

* Gerald, Curtis F. and Wheatley, Patrick O. Applied Numerical Analysis, Reading, MA: Addison-Wesley, 1978, 1989. Fourth Edition.

* Hamming, Richard W. Introduction to Applied Numerical Analysis New York, NY: Hemisphere, 1989.

Johnson, Lee W. and Riess, R. Dean. Numerical Analysis, Reading, MA: Addison-Wesley, 1977, 1982. Second Edition.

*** Kincaid, David R. and Cheney, Elliot W. Numerical Analysis: Mathematics of Scientific Computing Pacific Grove, CA: Brooks/Cole, 1991.

Maron, Melvin J. and Lopez, Robert J. Numerical Analysis: A Practical Approach, Belmont, CA: Wadsworth, 1991. Third Edition.

* Mathews, John H. Numerical Methods for Computer Science, Engineering, and Mathematics Englewood Cliffs, NJ: Prentice Hall, 1987.

Morris, J. Ll. Computational Methods in Elementary Numerical Analysis New York, NY: John Wiley, 1983.

Ralston, Anthony and Rabinowitz, Philip. A First Course in Numerical Analysis, New York, NY: McGraw-Hill, 1978. Second Edition.

** Stoer, J. and Bulirsch, R. Introduction to Numerical Analysis New York, NY: Springer-Verlag, 1980.

Numerical Analysis: Advanced Surveys

* Carnahan, Brice; Luther, H.A.; and Wilkes, James O. Applied Numerical Methods New York, NY: John Wiley, 1969.

Churchhouse, Robert F., ed. Numerical Methods New York, NY: John Wiley, 1981. Handbook of Applicable Mathematics, Volume III.

Dahlquist, Germund and Ake Bjorck. Numerical Methods Englewood Cliffs, NJ: Prentice Hall, 1974.

** Golub, Gene H., ed. Studies in Numerical Analysis Washington, DC: Mathematical Association of America, 1984.

** Greenspan, Donald and Casulli, Vincenzo. Numerical Analysis for Applied Mathematics, Science, and Engineering Reading, MA: Addison-Wesley, 1988.

Jacques, Ian and Judd, Colin. Numerical Analysis New York, NY: Chapman and Hall, 1987.

Jain, M.K.; Iyengar, S.R.K.; and Jain, R.K. Numerical Methods for Scientific and Engineering Computation New York, NY: Halsted Press, 1985.

* Ortega, James M. Numerical Analysis: A Second Course Philadelphia, PA: Society for Industrial and Applied Mathematics, 1990.

Todd, John. Basic Numerical Mathematics, New York, NY: Birkhauser, 1977, 1979. 2 Vols.

Traub, Joseph F. Iterative Methods for the Solution of Equations New York, NY: Chelsea, 1982.

Vandergraft, James S. Introduction to Numerical Computations New York, NY: Academic Press, 1978.

Young, David M. and Gregory, Robert T. A Survey of Numerical Mathematics, Reading, MA: Addison-Wesley, 1972, 1973. 2 Vols.

Numerical Analysis: Differential Equations

Axelsson, O. and Barker, V.A. Finite Element Solution of Boundary Value Problems: Theory and Computation New York, NY: Academic Press, 1984.

* Bathe, Klaus-Jurgen and Wilson, Edward L. Numerical Methods in Finite Element Analysis Englewood Cliffs, NJ: Prentice Hall, 1976.

Ciarlet, Philippe G. The Finite Element Method for Elliptic Problems Amsterdam: North-Holland, 1978.

Hall, G. and Watt, J.M., eds. Modern Numerical Methods for Ordinary Differential Equations New York, NY: Clarendon Press, 1976.

Henrici, Peter. Discrete Variable Methods in Ordinary Differential Equations New York, NY: John Wiley, 1962.

Jain, M.K. Numerical Solution of Differential Equations New York, NY: Halsted Press, 1979.

* Keller, H.B. Numerical Methods for Two-Point Boundary-Value Problems New York, NY: John Wiley, 1968.

* Lapidus, Leon and Pinder, George F. Numerical Solution of Partial Differential Equations in Science and Engineering New York, NY: John Wiley, 1982.

Meis, Theodor and Marcowitz, Ulrich. Numerical Solution of Partial Differential Equations New York, NY: Springer-Verlag, 1981.

Parker, Thomas S. and Chua, Leon O. Practical Numerical Algorithms for Chaotic Systems New York, NY: Springer-Verlag, 1989.

* Quinney, Douglas. An Introduction to the Numerical Solution of Differential Equations New York, NY: John Wiley, 1985.

* Sewell, Granville. The Numerical Solution of Ordinary and Partial Differential Equations New York, NY: Academic Press, 1988.

* Smith, G.D. Numerical Solution of Partial Differential Equations: Finite Difference Methods, New York, NY: Clarendon Press, 1978, 1985. Third Edition.

* Sod, Gary A. Numerical Methods in Fluid Dynamics: Initial and Initial Boundary-Value Problems New York, NY: Cambridge University Press, 1985.

Twizell, E.H. Computational Methods for Partial Differential Equations New York, NY: Halsted Press, 1984.

Vemuri, V. and Karplus, Walter J. Digital Computer Treatment of Partial Differential Equations Englewood Cliffs, NJ: Prentice Hall, 1981.

Numerical Analysis: Numerical Linear Algebra

** Ciarlet, Philippe G. Numerical Linear Algebra New York, NY: Cambridge University Press, 1989.

** Coleman, Thomas F. and Van Loan, Charles F. Handbook for Matrix Computations Philadelphia, PA: Society for Industrial and Applied Mathematics, 1988.

Forsythe, George E. and Moler, Cleve B. Computer Solution of Linear Algebraic Systems Englewood Cliffs, NJ: Prentice Hall, 1967.

*** Golub, Gene H. and Van Loan, Charles F. Matrix Computations, Baltimore, MD: Johns Hopkins University Press, 1983, 1989. Second Edition.

Hager, William. Applied Numerical Linear Algebra Englewood Cliffs, NJ: Prentice Hall, 1988.

* Hill, David R. and Moler, Cleve B. Experiments in Computational Matrix Algebra Cambridge, MA: Random House, 1987.

Jennings, Alan. Matrix Computation for Engineers and Scientists New York, NY: John Wiley, 1977.

* Magid, Andy R. Applied Matrix Models: A Second Course in Linear Algebra with Computer Applications New York, NY: John Wiley, 1985.

Pissanetzky, Sergio. Sparse Matrix Technology New York, NY: Academic Press, 1984.

* Rice, John R. Matrix Computations and Mathematical Software New York, NY: McGraw-Hill, 1981.

Stewart, G.W. Introduction to Matrix Computation New York, NY: Academic Press, 1973.

Varga, Richard S. Matrix Iterative Analysis Englewood Cliffs, NJ: Prentice Hall, 1962.

*** Wilkinson, James H. The Algebraic Eigenvalue Problem New York, NY: Oxford University Press, 1965, 1988.

Young, David M. Iterative Solution of Large Linear Systems New York, NY: Academic Press, 1971.

Numerical Analysis: Approximation Theory

*** Cheney, Elliot W. Introduction to Approximation Theory, New York, NY: Chelsea, 1966, 1982. Second Edition.

** Davis, Philip J. Interpolation and Approximation Mineola, NY: Dover, 1975.

Feinerman, Robert P. and Newman, Donald J. Polynomial Approximation Baltimore, MD: Williams and Wilkins, 1974.

Hestenes, Magnus R. Conjugate Direction Methods in Optimization New York, NY: Springer-Verlag, 1980.

* Lorentz, G.G. Approximation of Functions, New York, NY: Chelsea, 1986. Second Edition.

Prenter, P.M. Splines and Variational Methods New York, NY: John Wiley, 1975.

Rivlin, Theodore J. An Introduction to the Approximation of Functions Mineola, NY: Dover, 1981.

* Wahba, Grace. Spline Models for Observational Data Philadelphia, PA: Society for Industrial and Applied Mathematics, 1990.

* Watson, G.A. Approximation Theory and Numerical Methods New York, NY: John Wiley, 1980.

** de Boor, Carl. A Practical Guide to Splines New York, NY: Springer-Verlag, 1978.

de Bruijn, N.G. Asymptotic Methods in Analysis Mineola, NY: Dover, 1981.

Numerical Analysis: Computer Methods

* Forsythe, George E.; Malcolm, Michael A.; and Moler, Cleve B. Computer Methods for Mathematical Computations Englewood Cliffs, NJ: Prentice Hall, 1977.

* Froberg, Carl-Erik. Numerical Mathematics: Theory and Computer Applications Redwood City, CA: Benjamin Cummings, 1985.

** Grandine, Thomas A. The Numerical Methods Programming Projects Book New York, NY: Oxford University Press, 1990.

* James, M.L.; Smith, G.M.; and Wolford, J.C. Applied Numerical Methods for Digital Computation, New York, NY: Harper and Row, 1985. Third Edition.

Johnston, R.L. Numerical Methods: A Software Approach New York, NY: John Wiley, 1982.

Kahaner, David; Moler, Cleve B.; and Nash, Stephen. Numerical Methods and Software Englewood Cliffs, NJ: Prentice Hall, 1989.

Kopchenova, N.V. and Maron, I.A. Computational Mathematics: Worked Examples and Problems with Elements of Theory Moscow: MIR, 1981.

Lastman, Gary J. and Sinha, Naresh K. Microcomputer-Based Numerical Methods for Science and Engineering New York, NY: W.B. Saunders, 1989.

* Mohamed, J.L. and Walsh, J.E., eds. Numerical Algorithms New York, NY: Clarendon Press, 1986.

*** Press, William H., et al. Numerical Recipes: The Art of Scientific Computing New York, NY: Cambridge University Press, 1986.

Schendel, U. Introduction to Numerical Methods for Parallel Computers New York, NY: Halsted Press, 1984.

Numerical Analysis: Special Topics

Baker, Christopher T.H. The Numerical Treatment of Integral Equations New York, NY: Clarendon Press, 1977.

Brigham, E. Oran. The Fast Fourier Transform Englewood Cliffs, NJ: Prentice Hall, 1974.

* Delves, L.M. and Mohamed, J.L. Computational Methods for Integral Equations New York, NY: Cambridge University Press, 1985.

Irons, Bruce and Shrive, Nigel G. Finite Element Primer New York, NY: Halsted Press, 1983.

Zienkiewicz, O.C. The Finite Element Method New York, NY: McGraw-Hill, 1977.