Bibliography

% Bibliography file for Scientific Computing: An Introductory Survey,
% Second Edition, by Michael T. Heath, published by McGraw-Hill, New York,
% 2002

% Note: file includes some entries not cited in text

@book{aberth,
	author = "O. Aberth",
	title = "Precise Numerical Methods Using C++",
	publisher = "Academic",
	address = "San Diego, CA",
	year = 1998
}

@article{aberth_schaefer,
	author = "O. Aberth and M. Schaefer",
	title = "Precise Computation Using Range Arithmetic via {C++}",
	journal = "ACM Trans. Math. Software",
	volume = 18,
	year = 1992,
	pages = "481-491"
}

@book{abramowitz,
	author = "M. Abramowitz and I. A. Stegun",
	title = "Handbook of Mathematical Functions",
	publisher = "Dover",
	address = "New York",
	year = 1965
}

@book{acton,
	author = "F. S. Acton",
	title = "Numerical Methods That Work",
	note = "(Reprint of 1970 edition)",
	publisher = "Math. Assoc. Amer.",
	address = "Washington, DC",
	year = 1990
}

@book{acton2,
	author = "F. S. Acton",
	title = "Real Computing Made Real",
	publisher = "Princeton University Press",
	address = "Princeton, NJ",
	year = 1996
}

@book{ahlberg,
	author = "J. H. Ahlberg and E. N. Nilson and J. L. Walsh",
	title = "The Theory of Splines and Their Applications",
	publisher = "Academic",
	address = "New York",
	year = 1967
}

@article{albrecht,
	author = "P. Albrecht",
	title = "The Runge-Kutta Theory in a Nutshell",
	journal = "SIAM J. Numer. Anal.",
	volume = 33,
	year = 1996,
	pages = "1712-1735"
}

@book{alefeld,
	author = "G. Alefeld and J. Herzberger",
	title = "Introduction to Interval Computations",
	publisher = "Academic",
	address = "New York",
	year = 1983
}

@book{allen,
	author = "M. B. Allen and I. Herrera and G. F. Pinder",
	title = "Numerical Modeling in Science and Engineering",
	publisher = "John Wiley \& Sons",
	address = "New York",
	year = 1988
}

@book{allen_isaacson,
	author = "M. B. Allen and E. L. Isaacson",
	title = "Numerical Analysis for Applied Science",
	publisher = "John Wiley \& Sons",
	address = "New York",
	year = 1997
}

@book{allen_tildesley,
	author = "M. P. Allen and D. J. Tildesley",
	title = "Computer Simulation of Liquids",
	publisher = "Oxford University Press",
	address = "New York",
	year = 1987
}

@book{allgower,
	author = "E. L. Allgower and K. Georg",
	title = "Numerical Continuation Methods",
	publisher = "Springer-Verlag",
	address = "New York",
	year = 1990
}

@article{allgower2,
	author = "E. L. Allgower and K. Georg",
	title = "Continuation and Path Following",
	journal = "Acta Numerica",
	volume = 2,
	year = 1993,
	pages = "1-64"
}

@book{ames,
	author = "W. F. Ames",
	title = "Numerical Methods for Partial Differential Equations",
	edition = "3d",
	publisher = "Academic",
	address = "San Diego, CA",
	year = 1992
}

@book{lapack,
	author = "E. Anderson and Z. Bai and C. Bischof and S. Blackford
		and J. Demmel and J. Dongarra and J. {Du Croz} and
		A. Greenbaum and S. Hammarling and A. McKenney and
		D. Sorensen",
	title = "{\tt LAPACK} Users' Guide",
	edition = "3d",
	publisher = "SIAM",
	address = "Philadelphia, PA",
	year = 1999
}

@article{anderson,
	author = "S. Anderson",
	title = "Random Number Generators",
	journal = "SIAM Review",
	volume = 32,
	year = 1990,
	pages = "221-251"
}

@article{andrews,
	author = "H. C. Andrews and C. L. Patterson",
	title = "Outer Product Expansions and Their Uses in Digital
		Image Processing",
	journal = "Amer. Math. Monthly",
	volume = 82,
	year = 1975,
	pages = "1-13"
}

@book{ascher,
	author = "U. M. Ascher and R. M. Mattheij and R. D. Russell",
	title = "Numerical Solution of Boundary Value Problems for Ordinary
		Differential Equations",
	note = "(Reprint of 1988 edition)",
	publisher = "SIAM",
	address = "Philadelphia, PA",
	year = 1995
}

@book{ascher2,
	author = "U. M. Ascher and L. R. Petzold",
	title = "Computer Methods for Ordinary Differential Equations and
		Differential-Algebraic Equations",
	publisher = "SIAM",
	address = "Philadelphia, PA",
	year = 1998
}

@book{atkinson,
	author = "K. Atkinson",
	title = "Elementary Numerical Analysis",
	edition = "2d",
	publisher = "John Wiley \& Sons",
	address = "New York",
	year = 1993
}

@book{avriel,
	author = "M. Avriel",
	title = "Nonlinear Programming: Analysis and Methods",
	publisher = "Prentice Hall",
	address = "Englewood Cliffs, NJ",
	year = 1976
}

@book{axelsson,
	author = "O. Axelsson",
	title = "Iterative Solution Methods",
	publisher = "Cambridge University Press",
	address = "New York",
	year = 1994
}

@book{axelsson_barker,
	author = "O. Axelsson and V. A. Barker",
	title = "Finite Element Solution of Boundary Value Problems",
	note = "(Reprint of 1984 edition)",
	publisher = "SIAM",
	address = "Philadelphia, PA",
	year = 2001
}

@book{templates2,
	editor = "Z. Bai and J. Demmel and J. Dongarra and A. Ruhe
		and H. {van der Vorst}",
	title = "Templates for the Solution of Algebraic Eigenvalue Problems:
		A Pracical Guide",
	publisher = "SIAM",
	address = "Philadelphia, PA",
	year = 2000
}

@book{bailey,
	author = "P. B. Bailey and L. F. Shampine and P. E. Waltman",
	title = "Nonlinear Two Point Boundary Value Problems",
	publisher = "Academic",
	address = "New York",
	year = 1968
}

@book{baker,
	author = "G. A. Baker",
	title = "Essentials of {Pad\'{e}} Approximants",
	publisher = "Academic",
	address = "New York",
	year = 1975
}

@book{baker_graves-morris,
	author = "G. A. Baker and P. R. Graves-Morris",
	title = "{Pad\'{e}} Approximants",
	edition = "2d",
	publisher = "Cambridge University Press",
	address = "New York",
	year = 1996
}

@book{lbaker,
	author = "L. Baker",
	title = "{C} Mathematical Function Handbook",
	publisher = "McGraw-Hill",
	address = "New York",
	year = 1992
}

@book{banerjee,
	author = "P. K. Banerjee and R. Butterfield",
	title = "Boundary Element Methods in Engineering Science",
	publisher = "McGraw-Hill",
	address = "New York",
	year = 1981
}

@book{bank,
	author = "R. E. Bank",
	title = "{PLTMG}: A Software Package for Solving Elliptic
		Partial Differential Equations",
	publisher = "SIAM",
	address = "Philadelphia, PA",
	year = 1998
}

@book{bard,
	author = "Y. Bard",
	title = "Nonlinear Parameter Estimation",
	publisher = "Academic",
	address = "New York",
	year = 1970
}

@book{templates,
	author = "R. Barrett and M. Berry and T. Chan and J. Demmel and
		J. Donato and J. Dongarra and V. Eijk\-hout and R. Pozo
		and C. Romine and H. {van der Vorst}",
	title = "Templates for the Solution of Linear Systems:
		Building Blocks for Iterative Methods",
	publisher = "SIAM",
	address = "Philadelphia, PA",
	year = 1994
}

@book{bartels,
	author = "R. Bartels and J. Beatty and B. Barsky",
	title = "An Introduction to Splines for Use in Computer Graphics
		and Geometric Modeling",
	publisher = "Morgan Kaufmann",
	address = "Los Altos, CA",
	year = 1987
}

@book{barton,
	author = "G. Barton",
	title = "Elements of {Green's} Functions and Propagation",
	publisher = "Oxford University Press",
	address = "New York",
	year = 1989
}

@book{bazaraa,
	author = "M. S. Bazaraa and H. D. Sherali and C. M. Shetty",
	title = "Nonlinear Programming: Theory and Algorithms",
	edition = "2d",
	publisher = "John Wiley \& Sons",
	address = "New York",
	year = 1993
}

@article{beatson,
	author = "R. K. Beatson and E. Chacko",
	title = "Which Cubic Spline Should One Use?",
	journal = "SIAM J. Sci. Stat. Comput.",
	volume = 13,
	year = 1992,
	pages = "1009-1024"
}

@book{texas1,
	author = "E. B. Becker and G. F. Carey and J. T. Oden",
	title = "Finite Elements: An Introduction",
	note = "(Texas Finite Element Series, Vol. 1)",
	publisher = "Prentice Hall",
	address = "Englewood Cliffs, NJ",
	year = 1981
}

@book{beckmann,
	author = "P. Beckmann",
	title = "Orthogonal Polynomials for Engineers and Scientists",
	publisher = "Golem Press",
	address = "Boulder, CO",
	year = 1973
}

@book{beer,
	author = "G. Beer and J. O. Watson",
	title = "Introduction to Finite and Boundary Element Methods
		for Engineers",
	publisher = "John Wiley \& Sons",
	address = "New York",
	year = 1992
}

@article{beichl,
	author = "I. Beichl and F. Sullivan",
	title = "The Metropolis Algorithm",
	journal = "Computing in Science \& Engineering",
	volume = 2,
	number = 1,
	year = 2000,
	pages = "65-69"
}

@book{beltrami,
	author = "E. Beltrami",
	title = "What Is Random?",
	publisher = "Springer-Verlag",
	address = "New York",
	year = 1999
}

@article{berry,
	author = "M. W. Berry and Z. {Drma\v{c}} and E. R. Jessup",
	title = "Matrices, Vector Spaces, and Information Retrieval",
	journal = "SIAM Review",
	volume = 41,
	year = 1999,
	pages = "335-362"
}

@book{bertsekas,
	author = "D. P. Bertsekas",
	title = "Nonlinear Programming",
	publisher = "Athena Scientific",
	address = "Belmont, MA",
	year = 1995
}

@book{betounes,
	author = "D. Betounes",
	title = "Partial Differential Equations for Computational Science",
	publisher = "Springer-Verlag",
	address = "New York",
	year = 1998
}

@book{biran,
	author = "A. Biran and M. Breiner",
	title = "{MATLAB} 5 for Engineers",
	publisher = "Addison-Wesley",
	address = "Reading, MA",
	year = 1999
}

@book{birkhoff_rota,
	author = "G. Birkhoff and G.-C. Rota",
	title = "Ordinary Differential Equations",
	edition = "4th",
	publisher = "John Wiley \& Sons",
	address = "New York",
	year = 1989
}

@techreport{adifor,
	author = "C. Bischof and A. Carle and P. Hovland and
		P. Khademi and A. Maur",
	title = "{ADIFOR} 2.0 User's Guide",
	number = "ANL/MCS-TM-192",
	institution = "Argonne National Laboratory",
	address = "Argonne, IL",
	year = "1995"
}

@book{bjorck,
	author = "{\AA}. {Bj{\"{o}}rck}",
	title = "Numerical Methods for Least Squares Problems",
	publisher = "SIAM",
	address = "Philadelphia, PA",
	year = 1996
}

@article{board,
	author = "J. Board and K. Schulten",
	title = "The Fast Multipole Algorithm",
	journal = "Computing in Science \& Engineering",
	volume = 2,
	number = 1,
	year = 2000,
	pages = "76-79"
}

@article{odrpack,
	author = "P. T. Boggs and J. R. Donaldson and R. H. Byrd and
		R. B. Schnabel",
	title = "{\tt ODRPACK}---Software for Weighted Orthogonal Distance
		Regression",
	journal = "ACM Trans. Math. Software",
	volume = 15,
	year = 1981,
	pages = "348-364"
}

@article{boggs,
	author = "P. T. Boggs and J. W. Tolle",
	title = "Sequential Quadratic Programming",
	journal = "Acta Numerica",
	volume = 4,
	year = 1995,
	pages = "1-51"
}

@book{boisvert,
	editor = "R. F. Boisvert",
	title = "Quality of Numerical Software: Assessment and Enhancement",
	publisher = "Chapman \& Hall",
	address = "New York",
	year = 1997
}

@book{boisvert_tang,
	editor = "R. F. Boisvert and P. T. Tang",
	title = "The Architecture of Scientific Software",
	publisher = "Kluwer",
	address = "Boston",
	year = 2001
}

@article{gams,
	author = "R. F. Boisvert and S. E. Howe and D. K. Kahaner",
	title = "{GAMS} --- A Framework for the Management of Scientific
		Software",
	journal = "ACM Trans. Math. Software",
	volume = 11,
	year = 1985,
	pages = "313-356"
}

@book{borse,
	author = "G. J. Borse",
	title = "Numerical Methods with {MATLAB}",
	publisher = "PWS Publishing Co.",
	address = "Boston",
	year = 1997
}

@book{botha,
	author = "J. F. Botha and G. F. Pinder",
	title = "Fundamental Concepts in the Numerical Solution of
		Partial Differential Equations",
	publisher = "John Wiley \& Sons",
	address = "New York",
	year = 1983
}

@book{boyce_diprima,
	author = "W. E. Boyce and R. C. DiPrima",
	title = "Elementary Differential Equations and Boundary Value
		Problems",
	edition = "7th",
	publisher = "John Wiley \& Sons",
	address = "New York",
	year = 2000
}

@book{boyd,
	author = "J. P. Boyd",
	title = "Chebyshev and Fourier Spectral Methods",
	publisher = "Springer-Verlag",
	address = "New York",
	year = 1989
}

@book{braess,
	author = "D. Braess",
	title = "Finite Elements: Theory, Fast Solvers, and Applications
		in Solid Mechanics",
	publisher = "Cambridge University Press",
	address = "New York",
	year = 1997
}

@book{bramble,
	author = "J. H. Bramble",
	title = "Multigrid Methods",
	publisher = "John Wiley \& Sons",
	address = "New York",
	year = 1993
}

@book{bratley,
	author = "P. Bratley and B. L. Fox and L. E. Schrage",
	title = "A Guide to Simulation",
	edition = "2d",
	publisher = "Springer-Verlag",
	address = "New York",
	year = 1987
}

@book{braun,
	author = "M. Braun",
	title = "Differential Equations and Their Applications",
	edition = "4th",
	publisher = "Springer-Verlag",
	address = "New York",
	year = 1993
}

@book{brebbia,
	author = "C. A. Brebbia",
	title = "The Boundary Element Method for Engineers",
	edition = "2d",
	publisher = "Pentch",
	address = "London",
	year = 1984
}

@book{brebbia2,
	editor = "C. A. Brebbia and J. C. F. Telles and L. C. Wrobel",
	title = "Boundary Element Techniques: Theory and Applications
		in Engineering",
	publisher = "Springer-Verlag",
	address = "New York",
	year = 1984
}

@book{brenan,
	author = "K. E. Brenan and S. L. Campbell and L. R. Petzold",
	title = "Numerical Solution of Initial-Value Problems in
		Differential-Algebraic Equations",
	note = "(Reprint of 1989 edition)",
	publisher = "SIAM",
	address = "Philadelphia, PA",
	year = 1996
}

@book{brenner,
	author = "S. C. Brenner and L. R. Scott",
	title = "The Mathematical Theory of Finite Element Methods",
	publisher = "Springer-Verlag",
	address = "New York",
	year = 1994
}

@book{brent,
	author = "R. P. Brent",
	title = "Algorithms for Minimization without Derivatives",
	publisher = "Prentice Hall",
	address = "Englewood Cliffs, NJ",
	year = 1973
}

@book{brezinski,
	author = "C. Brezinski and M. {Redivo Zaglia}",
	title = "Extrapolation Methods: Theory and Practice",
	publisher = "Elsevier",
	address = "New York",
	year = 1991
}

@article{brezinski2,
	author = "C. Brezinski and J. {Van Iseghem}",
	title = "A Taste of {Pad\'{e}} Approximation",
	journal = "Acta Numerica",
	volume = 4,
	year = 1995,
	pages = "53-103"
}

@book{briggs_mg,
	author = "W. L. Briggs and V. E. Henson and S. F. McCormick",
	title = "A Multigrid Tutorial",
	publisher = "SIAM",
	edition = "2d",
	address = "Philadelphia, PA",
	year = 2000
}

@book{briggs_dft,
	author = "W. L. Briggs and V. E. Henson",
	title = "The DFT: An Owner's Manual for the Discrete {Fourier}
		Transform",
	publisher = "SIAM",
	address = "Philadelphia, PA",
	year = 1995
}

@book{brigham1,
	author = "E. O. Brigham",
	title = "The Fast {Fourier} Transform",
	publisher = "Prentice Hall",
	address = "Englewood Cliffs, NJ",
	year = 1974
}

@book{brigham2,
	author = "E. O. Brigham",
	title = "The Fast {Fourier} Transform and Its Applications",
	publisher = "Prentice Hall",
	address = "Englewood Cliffs, NJ",
	year = 1988
}

@article{brinch_hansen,
	author = "P. {Brinch Hansen}",
	title = "{Householder} Reduction of Linear Systems",
	journal = "ACM Computing Surveys",
	volume = 24,
	number = 2,
	month = jun,
	year = 1992,
	pages = "185-194"
}

@book{brinch_hansen2,
	author = "P. {Brinch Hansen}",
	title = "Studies in Computational Science",
	publisher = "Prentice Hall",
	address = "Englewood Cliffs, NJ",
	year = 1995
}

@book{brugnano,
	author = "L. Brugnano and D. Trigiante",
	title = "Solving Differential Problems by Multistep Initial and
		Boundary Value Methods",
	publisher = "Gordon and Breach",
	address = "New York",
	year = 1998
}

@book{buchanan,
	author = "J. L. Buchanan and P. R. Turner",
	title = "Numerical Methods and Analysis",
	publisher = "McGraw-Hill",
	address = "New York",
	year = 1992
}

@article{bulirsch,
	author = "R. Bulirsch and J. Stoer",
	title = "Numerical Treatment of Ordinary Differential Equations
		by Extrapolation Methods",
	journal = "Numer. Math.",
	volume = 8,
	year = 1966,
	pages = "1-13"
}

@book{burden_faires,
	author = "R. L. Burden and J. D. Faires",
	title = "Numerical Analysis",
	edition = "7th",
	publisher = "Brooks/Cole",
	address = "Pacific Grove, CA",
	year = 2001
}

@book{burrus,
	author = "C. S. Burrus and R. A. Gopinath and H. Guo",
	title = "Introduction to Wavelets and Wavelet Transforms",
	publisher = "Prentice Hall",
	address = "Upper Saddle River, NJ",
	year = 1998
}

@book{butcher,
	author = "J. C. Butcher",
	title = "The Numerical Analysis of Ordinary Differential Equations",
	publisher = "John Wiley \& Sons",
	address = "New York",
	year = 1987
}

@article{byrne,
	author = "G. D. Byrne and A. C. Hindmarsh",
	title = "Stiff {ODE} Solvers: A Review of Current and Coming
		Attractions",
	journal = "J. Comput. Phys.",
	volume = 70,
	year = 1987,
	pages = "1-62"
}

@article{caprani,
	author = "O. Caprani and K. Madsen and L. B. Rall",
	title = "Integration of Interval Functions",
	journal = "SIAM J. Math. Anal.",
	volume = 12,
	year = 1981,
	pages = "321-341"
}

@book{texas2,
	author = "G. F. Carey and J. T. Oden",
	title = "Finite Elements: A Second Course",
	note = "(Texas Finite Element Series, Vol. 2)",
	publisher = "Prentice Hall",
	address = "Englewood Cliffs, NJ",
	year = 1983
}

@book{texas3,
	author = "G. F. Carey and J. T. Oden",
	title = "Finite Elements: Computational Aspects",
	note = "(Texas Finite Element Series, Vol. 3)",
	publisher = "Prentice Hall",
	address = "Englewood Cliffs, NJ",
	year = 1984
}

@article{carta,
	author = "D. G. Carta",
	title = "Two Fast Implementations of the Minimal Standard Random
		Number Generator",
	journal = "Comm. ACM",
	volume = 33,
	year = 1990,
	pages = "87-88"
}

@book{celia,
	author = "M. A. Celia and W. G. Gray",
	title = "Numerical Methods for Differential Equations",
	publisher = "Prentice Hall",
	address = "Englewood Cliffs, NJ",
	year = 1992
}

@book{chapman,
	author = "S. J. Chapman",
	title = "{MATLAB} Programming for Engineers",
	publisher = "Brooks/Cole",
	address = "Pacific Grove, CA",
	year = 2000
}

@book{chapra_canale,
	author = "S. C. Chapra and R. P. Canale",
	title = "Numerical Methods for Engineers",
	edition = "4th",
	publisher = "McGraw-Hill",
	address = "New York",
	year = 2002
}

@book{chatelin,
	author = "F. Chatelin",
	title = "Eigenvalues of Matrices",
	note = "(Translation of 1988--89 French edition)",
	publisher = "John Wiley \& Sons",
	address = "New York",
	year = 1993
}

@book{chatelin_fraysse,
	author = "F. Chaitin-Chatelin and V. {Frayss{\'{e}}}",
	title = "Lectures on Finite Precision Computations",
	publisher = "SIAM",
	address = "Philadelphia, PA",
	year = 1996
}

@book{gchen,
	author = "G. Chen and J. Zhou",
	title = "Boundary Element Methods",
	publisher = "Academic",
	address = "San Diego, CA",
	year = 1992
}

@book{chen,
	author = "K. Chen and P. J. Giblin and A. Irving",
	title = "Mathematical Explorations with {MATLAB}",
	publisher = "Cambridge University Press",
	address = "New York",
	year = 1999
}

@book{cheney,
	author = "W. Cheney",
	title = "Introduction to Approximation Theory",
	edition = "2d",
	note = "(Reprint of 1982 edition)",
	publisher = "AMS Chelsea Publishing",
	address = "Providence, RI",
	year = 1998
}

@book{cheney_kincaid,
	author = "W. Cheney and D. Kincaid",
	title = "Numerical Mathematics and Computing",
	edition = "4th",
	publisher = "Brooks/Cole",
	address = "Pacific Grove, CA",
	year = 1999
}

@book{cheney_light,
	author = "E. W. Cheney and W. A. Light",
	title = "A Course in Approximation Theory",
	publisher = "Brooks/Cole",
	address = "Pacific Grove, CA",
	year = 1999
}

@book{childs,
	editor = "B. Childs and M. Scott and J. W. Daniel and E. Denman and
		P. Nelson",
	title = "Codes for Boundary Value Problems in {ODE}s",
	publisher = "Springer-Verlag",
	address = "New York",
	year = 1979
}

@book{chihara,
	author = "T. S. Chihara",
	title = "An Introduction to Orthogonal Poplynomials",
	publisher = "Gordon and Breach",
	address = "New York",
	year = 1978
}

@book{chong,
	author = "E. Chong and S. {{\.{Z}}ak}",
	title = "An Introduction to Optimization",
	publisher = "John Wiley \& Sons",
	address = "New York",
	year = 1996
}

@book{chu_george,
	author = "E. Chu and A. George",
	title = "Inside the {FFT} Black Box",
	publisher = "CRC Press",
	address = "Boca Raton, FL",
	year = 1999
}

@book{coddington,
	author = "E. A. Coddington and N. Levinson",
	title = "Theory of Ordinary Differential Equations",
	publisher = "McGraw-Hill",
	address = "New York",
	year = 1955
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@article{cody,
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	year = 1971
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