James N. Lyness

PUBLICATIONS appearing in the open refereed scientific literature.

[1] J. N. Lyness, "Polarization in Nuclear Reactions," Proc. Phys.
Soc. 71 (1958) 858-860

[2] J. N. Lyness, "A Method for Calculating Scattering Phase Shifts,"
Nucl. Phys. 18 (1960) 654-668

[3] J. N. Lyness, and J. M. Blatt, "The Practical Use of Variation
Principles in the Determination of the Stability of Non-Linear
Systems," J. Aust. Math. Soc. 2 (1961) 153-188

[4] J. N. Lyness"A Property of an Iteration
Process,"J. Aust. Math. Soc. 2 (1961) 189-194

[5] Blatt, J. M., and J. N. Lyness, , "The Practical Use of Variation
Principles in Non-Linear Mechanics," J. Aust. Math. Soc. 2
(1962)357-368

[6] Blatt, J. M., G. H. Derrick, and J. N. Lyness, "Binding Energy of
the Triton," Phys. Rev. Letters 8 (1962) 323-325

[7] Delves, L. M., and J. N. Lyness, "Upper Bound on the Neutron
Deuteron Doublet scattering Length (I) Matrix Elements of the
Hamiltonian," Nucl. Phys. 45 (1963) 296-312.

[8] Blatt, J. M., J. N. Lyness,and S. Y. Larsen, "The Three Body Bound
 State in He-4," Phys. Rev. 131 (1963) 2131-2132

[9] Mustard, D., J. N. Lyness, and J. M. Blatt, "Numerical Quadrature
in N Dimensions," Computer Journal 6 (1963) 75-87

[10] J. N. Lyness, and B. J. J. McHugh, "Integration over
Multidimensional Hypercubes (I) A Progressive Procedure," Computer
Journal 6 (1963) 264-270

[11] Delves, L. M.,J. N. Lyness, and J. M. Blatt, "An Upper Bound on
the Neutron Deuteron 2-S Scattering Length," Phys. Rev. Letters 12
(1964) 542-544

[12] J. N. Lyness"The Failure Rate in the University of Subtopia,"
Vestes 7 (1964) 260

[13] J. N. Lyness, "Symmetric Integration Rules for Hypercubes (I)
Error Coefficients," Math. Comp. 19 (1965) 260-276

[14] J. N. Lyness, "Symmetric Integration Rules for Hypercubes (II)
Rule Projection and Rule Extension," Math. Comp. 19 (1965) 394-407

[15] J. N. Lyness, "Integration Rules of Hypercubic Symmetry over a
Certain Spherically Symmetric Space," Math. Comp. 19 (1965) 471-476

[16] J. N. Lyness, "Limits on the Number of Function Evaluations
Required by Certain High Dimensional Integration Rules of Hypercubic
Symmetry," Math. Comp. 19 (1965) 625-637

[17] J. N. Lyness, "Symmetric Integration Rules for Hypercubes (III)
Construction of Integration Rules Using Null Rules," Math. Comp. 19
(1965) 638-643

[18] J. N. Lyness, "The Vector Triple Product Identity," Math. Gaz. L
(1966) 372

[19] J. N. Lyness, and C. B. Moler, "Van der Monde Systems and
Numerical Differentiation," Numer. Math. 8 (1966) 458-464

[20] J. N. Lyness, and B. W. Ninham, "Numerical Quadrature and
Asymptotic Expansions," Math. Comp. 21 (1967) 162-178

[21] J. N. Lyness, "The Calculation of Fourier Coefficients," SIAM
Journal of Num. Anal. 4 (1967) 301-315

[22] J. N. Lyness, and C. B. Moler, "Numerical Differentiation of
Analytic Functions," SIAM Journal of Num. Anal. 4 (1967) 202-210

[23] Delves, L. M., and J. N. Lyness, "A Numerical Method for Locating
the Zeros of an Analytic Function," Math. Comp. 21 (1967) 543-560

[24] J. N. Lyness, and L. M. Delves, "On Numerical Contour integration
Round a Closed Contour," Math. Comp. 21 (1967) 561-577

[25] J. N. Lyness, "A Trigonometric Inequality: Problem 67-6," SIAM
Review (1967) 250.

[26] J. N. Lyness, "Numerical Algorithms Based on the Theory of
Complex Variables," Proceedings of the ACM National Meeting 1967,
Thompson Book Co., Washington, D.C., 1967, pp. 125-133.

[27] J. N. Lyness, "Differentiation Formulas for Analytic Functions,"
Math. Comp. 22 (1968) 352-362.

[28] J. N. Lyness, "The Calculation of Stieltjes' Integral,"
Numer. Math. 12 (1968) 252-265.

[29] B.W.Ninham and J. N. Lyness., "Further Asymptotic Expansions for
the Error Functional" Math. Comp. v.23, pp.71-84; (1969)

[30] J. N. Lyness, and J. R. Gabriel, "Comment on a New Method for the
Evaluation of Multidimensional Integrals," J. Chem. Physics 50 (1969)
565-566

[31] Smith, W. E., and J. N. Lyness, "Applications of Hilbert
Transform Theory to Numerical Quadrature," Math. Comp. 23 (1969)
231-252

[32] J. N. Lyness, "Notes on the Adaptive Simpson Quadrature Routine,"
J. Assoc. Comp. Mach. 16 (1969) 483-495

[33] J. N. Lyness, "Quadrature Methods Based on Complex Function
Values," Math. Comp. 23 (1969) 601-620

[34] J. N. Lyness, "The Effect of Inadequate Convergence Criteria in
Automatic Routines," Comp. Journal 12 (1969) 279-281

[35] J. N. Lyness, and C. B. Moler, "Generalized Romberg Methods for
Integrals of Derivatives," Num. Math. 14 (1969) 1-13

[36] J. N. Lyness, "The Calculation of Fourier Coefficients by the
Mobius Inversion of the Poisson Summation Formula, Part I: Functions
whose early derivatives are contiuous," Math. Comp. 24 (1970) 101-135

[37] J. N. Lyness, "Algorithm 379 SQUANK (Simpson Quadrature Used
Adaptively - Noise Killed," Comm. ACM 13 (1970 )260-263

[38] J. N. Lyness, and B. J. J. McHugh, "On the Remainder Term in the
N-Dimensional Euler-Maclaurin Expansion," Numer. Math. 15 (1970)
333-344

[39] J. N. Lyness"The Calculation of Fourier Coefficients by the
Mobius Inversion of the Poisson Summation Formula - Part II. Piecewise
Continuous Functions and Functions with Poles near the Interval
(0,1)," Math. Comp. 25 (1971) 59-78

[40] J. N. Lyness, "Adjusted Forms of the Fourier Coefficient
Asymptotic Expansion and Applications in Numerical Quadrature,"
Math. Comp. 25 (1971) 87-104

[41] J. N. Lyness, "The Calculation of Fourier Coefficients by the
Mobius Inversion of the Poisson Summation Formula - Part III.
Functions Having Algebraic Singularities," Math. Comp. 25 (1971)
483-493

[42] J. N. Lyness, and G. Sande, "Algorithm 413 ENTCAF and ENTCRE:
Evaluation of Normalized Taylor Coefficients of an Analytic Function "
ACM 14 (1971) 669-675

[43] J. N. Lyness, "Guidelines for Automatic Quadrature Routines,"
Proceedings Information Processing Congress, Ljubljana, 1971,
North-Holland Publishing Co., Amsterdam, 1972, pp. 1351-1355

[44] Lyness J. N., "An Algorithm for Gauss-Romberg Integration," BIT
12 (1972) 194-203

[45] J. N. Lyness, and K. K. Puri, "The Euler Maclaurin Expansion for
the Simplex," Math. Comp. 27 (1973) 273-293

[46] J. N. Lyness, "Computational Techniques Based on the Lanczos
Representation," Math. Comp. 28 (1974) 81-123

[47] J. N. Lyness, and D. Jespersen, "Moderate Degree Symmetric
Quadrature Rules for the Triangle," J. Inst. of Math. & Applic. 15
(1975) 19-32

[48] Duris, C. S., and J. N. Lyness, "Compound Quadrature Rules for
the Product of Two Functions," SIAM J. Numer. Anal. 12 (1975) 681-697

[49] Strom, T., and J. N. Lyness "On Numerical Differentiation, BIT 15
(1975) 314-322

[50] J. N. Lyness, "An Error Functional Expansion for N-dimensional
Quadrature with an Integrand Function Singular at a Point,"
Math. Comp. 30 (1976) 1-23

[51] J. N. Lyness, and J. J. Kaganove, "Comments on the Nature of
Automatic Quadrature Routines," ACM Trans. on Math. Soft. 2 (1976)
65-81

[52] J. N. Lyness., "Applications of Extrapolation Techniques to
Multidimensional Quadrature of Some Integrand Functions with a
Singularity, " J. Comp. Physics 20 (1976) 346-364

[53] Howell, T., and J. N. Lyness, "On a Conjecture in
Multidimensional Quadrature," J. Comp. Phys. 21 (1976) 361-366
Academic Press, New York, 1977

[54] J. N. Lyness, and G. Monegato, "Quadrature Rules for Regions
Having Regular Hexagonal Symmetry," SIAM J. Numer. Anal. 14 (1977)
283-295

[55] J. N. Lyness, and J. J. Kaganove, "A Technique for Comparing
Automatic Quadrature Routines," The Computer J. 20 (1977) 170-177

[56] J. N. Lyness, "Quid, Quo, Quadrature?" The State of the Art in
Numerical Analysis, D. Jacobs, ed., Academic Press, New York, 1977,
pp. 535-560 (also T.M. 292)

[57] J. N. Lyness, "An Interface Problem in Numerical Software,"
 Proc. of the Sixth Manitoba Conference on Num. Math. and Computing,
 1976, pp. 251-263

[58] J. N. Lyness, "Quadrature over a Simplex: Part 1. A
Representation for the Integrand Function," SIAM J. Numer. Anal. 15
(1978) 122-133

[59] J. N. Lyness, "Has Numerical Differentiation a Future?" Proc. of
the Seventh Manitoba Conference on Num. Math. and Computing," 1977,
pp. 107-129

[60] J. N. Lyness, "Quadrature over a Simplex: Part 2. A
Representation for the Error Functional," SIAM J. Numer. Anal. 15
(1978) 870-887

[61] J. N. Lyness, and P. Keast, "On p-Generator Fully Symmetric
Quadrature Rules," Numer. Math. 30 (1978) 51-63

[62] J. N. Lyness, "A Bench Mark Experiment for Minimization
Algorithms, " Math. Comp. 33 (1979) 249-264

[63] J. N. Lyness, "The Affine Scale Invariance of Minimization
Algorithms," Math. Comp. 33 (1979) 265-287

[64] Keast, P., and J. N. Lyness, "On the Structure of Fully Symmetric
Multidimensional Quadrature Rules," SIAM J. Num. Anal. 16 (1979) 11-29

[65] Monegato, G., and J. N. Lyness, "On the Numerical Evaluation of a
Particular Singular Two-Dimensional Integral," Math. Comp. 33 (1979)
993-1002

[66] J. N. Lyness, "Performance Profiles and Software Evaluation,"
Performance Evaluation of Numerical Software, L. D. Fosdick, ed.,
North-Holland Publishing Co., 1979, pp. 51-58

[67] J. N. Lyness, and A. C. Genz, "On Simplex Trapezoidal Rule
Families," SIAM J. Num. Anal. 17 (1980) 126-147

[68] J. N. Lyness, and G. Monegato, "Quadrature Error Functional
Expansion for the Simplex When the Integrand Function Has
Singularities at Vertices," Math. Comp. 34 (1980) 213-225

[69] Fritsch, F. N., D. K. Kahaner, and J. N. Lyness, "Double
Integration Using One-Dimensional Adaptive Quadrature Routines: A
Software Interface Problem," ACM Trans. on Math. Soft. 7 (1981) 46-75

[70] J. N. Lyness, "Remarks about Performance Profiles," Problems and
Methodologies in Mathematical Software Production, Lecture Notes in
Computer Science, Vol. 142, P. C. Messina and A. Murli, eds.,
Springer-Verlag, Berlin, 1982, pp. 186-97

[71] J. N. Lyness, and L. Gatteschi, "A Note on Cubature over a
Triangle of a Function Having Specified Singularities," International
Series of Numerical Math., Vol. 57, Numerical Integration,
Ed. G. Hammerlin, Birkhauser Verlag, Basel, 1982, pp. 164-169

[72] J. N. Lyness, and L. Gatteschi, "On Quasi Degree Quadrature
Rules," Numer. Math. 39 (1982) 259-267

[73] Gabutti, B., and J. N. Lyness , "An Acceleration Method for the
Power Series of Entire Functions of Order 1," Math. Comp. 39 (1982)
587-57

[74] J. N. Lyness, "When not to use an Automatic Quadrature Routine,"
SIAM Rev. vol.25, pp63-87, 1983

[75] Gatteschi, L., and J. N. Lyness, " An Indirect Approach to
Trigonometric Quadrature Rules," Calcolo Vol XX, fasc II 1983,
pp191-210

[76] J. N. Lyness, "The Calculation of Trigonometric Fourier
Coefficients," Jour. Comp. Phys. Vol. 54, pp 57-73, 1984

[77] J. N. Lyness, "Integrating some infinite oscillating Tails,"
Journal of Comp. and App. Math. Vol. 12&13, pp 109-117, 1985

[78] J. N. Lyness, "The Euler-Maclaurin Expansion for the Cauchy
Principal Value Integral";Num.Math.  Vol.46 pp 611-622 (1985)

[79] Gabutti, B., and J. N. Lyness , "Some Generalisations of the
Euler-Knopp Transformation", Numer.Math. Vol.48, pp 199-220, 1986

[80] J. N. Lyness and Hines, G.,"ALGORITHM 639; To Integrate Some
Infinite Oscillating Tails", ACM TOMS v.12, pp.24,25 1986.

[81] J. N. Lyness and Giunta, G.,"A Modification of the Weeks' Method
for Numerical Inv. of the Laplace Transform",Math.Comp v.47,pp.313-322
1986

[82] J. N. Lyness,"Extrapolation Methods for Multi-dimensional
Quadrature (of singular and regular Integrand Functions)," in
Numerical Algorithms, ed.  J.L.Mohamed and J.E.Walsh, Clar. Press,
Ox. Ap 1987, pp105-124.(See ANL/MCS-TM-45)

[83] Lyness, J. N. and E. de Doncker-Kapenga, "On Quadrature Error
Expansions, Part I ", Jour. Comp. App. Math. 17 (1987) 131-149

[84] J. N. Lyness, "Some Quadrature Rules for Finite Trigonometric and
 related Integrals" in Numerical Integration pp 17-33 eds. P Keast and
 G Fairweather Reidel Pub. Co. 1987.

[85] Lyness, J.N. and Tasso J. Kaper "Calculating Fourier Transforms
of Long Tailed Functions" SIAM J Sci. Stat.. Comput. 8 (1987)
1005-1011

[86] B.S.Garbow, G.Giunta, J.N.Lyness, and A.Murli "Software for an
 Implementation of Weeks' Method for the Inverse Laplace Transform
 Problem," ACM Trans. Math. Softw.14,2(June 1988)163-170

[87] B.S.Garbow, G.Giunta, J.N.Lyness, and A.Murli "Algorithm 662. A
 Fortran Software Package for the Numerical Inversion of the Laplace
 Transform Based on Weeks' Method." ACM Trans. Math. Softw.14,2(June
 1988) pp. 171-176.

[88] Lyness, J.N."Some Comments on Quadrature Rule Construction
Criteria" International Series of Numerical Mathematics., Vol. 85,
Numerical Integration III, Ed. G. Hammerlin and H. Brass, Birkhauser
Verlag, Basel, 1988, pp. 117-129.

[89] I. H. Sloan and J. N. Lyness, "The Representation of Lattice
Quadrature Rules as Multiple Sums" Math.Comp v.52,pp.81-94 1989

[90] J. N. Lyness and I.H.Sloan "Some Properties of Rank-2 Lattice
Rules" Math.Comp. v.53, pp.627-637 1989

[91] J. N. Lyness, " An introduction to lattice rules and their
generator matrices" IMA Journal of Numerical Analysis (1989) 9,
405-419.

[92]J. N. Lyness and Newman,W.;" A Search for Good Lattice Rules Based
on the Reciprocal Lattice Generator Matrix", Lecture Notes in
Comp. Sc.i 507, Springer-Verlag N.A. Sherwani, E.De D. and
J.A. Kap. (Eds.), pp. 271-278.

[93] J. N. Lyness and Sorevik,T; " The number of lattice rules." BIT
bd.29, pp. 527-534 1989

[94] I.H.Sloan and J. N. Lyness, "Lattice Rules: projection regularity
and unique representations" Math.Comp. v.54, pp.649-660; 1990

[95] Lyness, J.N., Sorevik,T and Keast,P." Notes on Integration and
Integer Sublattices". Math Comput v.56, pp.243-255; 1991

[96] J. N. Lyness; " Extrapolation-based Boundary Element Quadrature "
Rend.Sem .Mat.Univ.Pol.Torino, Fasc. Speciale 1991, Numerical
Methods.pp189-203.

[97] J. N. Lyness.and Sorevik,T; " A search program for finding
optimal lattices." Computing 47,103-120(1991)

[98] J. N. Lyness;"On Handling Singularities in Finite Elements" in
Numerical Integration, Ed. T.O.Espelid and A.Genz, Kluwer Academic
Publishers 1992, pp 219-233.

[99] J. N. Lyness.and Sorevik,T; "An algorithm for finding optimal
Integration Lattices of Composite Order." BIT bd.32, pp. 665-675 1992

[100] J. N. Lyness The canonical forms of a Lattice Rule. ISNM . Vol
112, Numerical Integration IV, Ed. G.Hammerlin +H.Brass, Birkhauser
Verlag, 1993, pp. 225-240.

[101] J. N. Lyness and E. de Doncker-Kapenga, "On Quadrature Error
Expansions, Part II: The Full Corner Singularity ", Numer.Math. 64,
355-370 1993

[102] J. N. Lyness and Sorevik,T; "Lattice Rules by Component
Scaling"Math.Comp.  v.61, pp.799-820; 1993

[103] J.N.L and Keast,P; "Application of the Smith Normal Form to the
Structure of Lattice Rules" SIAM J.Matrix Anal. Appl. v.16, pp218-231;
1995

[104] J. N. Lyness and R.Cools A survey of Numerical Cubature over
Triangles.  Proc.Symp.Ap.Mat.,v. 48, pp. 127-150,(1994).

[105] J. N. Lyness Quadrature over Curved Surfaces by Extrapolation.
Math.Comp. v.63, pp.727-7407 ; 1994

[106] J. N. Lyness Finite-part integrals and the Euler-Mac. exp.  In
Approx. &Comput.  p. 397-407.  ISNM 119, Birkh\"auser Ver. 1994.
R.V.M. Zahar, ed.

[107] J. N. Lyness and I.H.Sloan; Cubature Rules of Prescribed Merit
SIAM J Numer Anal 34, pp586-602; 1997

[108] J. N. Lyness and S.Joe Triangular Canonical forms for Lattice
rules of prime-power order Math.Comp. v.65, pp.165-178 ; 1996

[109] J. N. Lyness Evaluation of minimization software based on
performance profile techniques. pp152-4 , THE QUALITY OF NUMERICAL
SOFTWARE Ed Ronald F. Boisvert Chapman & Hall 1997.

[110] J.N.Lyness and U.Ruede; Cubature of Integrands containing
Derivatives.  Numer. Math. 78, pp439-461 :1998

[111] G.Monegato and J. N. Lyness The Euler-Maclaurin Expansion and
Finite- Part Integrals. Numer.Math. 81, pp 273-291 1999

[112] P. Verlinden, D.M. Potts and J. N. Lyness Error expansions for
multidimensional trapezoidal rules with Sidi transformations Numer Alg
16, 321-347 1997

[113] J. N. Lyness and L.M.Delves; On the Implementation of a Modified
Sag-Szekeres Quadrature Method. JCAM 112, 189-200 (1999)

[114] J. N. Lyness and Stephen Joe; A Constructive Approach to Lattice
Rule Canonical Forms: BIT 39, 701--715 1999

[115] J. N. Lyness A brief survey of extrapolation quadrature. ANZIAM
J. 42(2000) 181-184

[117] J. N. Lyness and Ronald Cools Notes on a Search for Optimal
Lattice Rules: Cubature Formulae and their Applications: Ed M.V.Noskov
Krasnoyarsk STU. 2000; 259-273.  Available as Argonne National
Laboratory Preprint ANL/MCS-P829-0600.

SUBMITTED and ACCEPTED

[116] (temporary number) Ronald Cools and J. N. Lyness 3- and
4-Dimensional K-Optimum Lattice Rules of Moderate Trigonometric
degree. to appear in Math.Comp.


TECHNICAL MEMORANDA

This list excludes preprints of subsequently published papers.

J. N. Lyness, "Quid, Quo, Quadrature?" T.M. 292

J. N. Lyness and C. Greenwell, "A Pilot Scheme for Minimization
Soft. Eval."T.M. 323(1978)

J. N. Lyness, "Performance Profiles and Software Evaluation," T.M. 343
(1979)

J. N. Lyness, "Remarks about Performance Profiles," T.M. 369 (1981)

J. N. Lyness, "QUG1: Trigonometric Fourier Coefficients," T.M. 370
(1981)

J. N. Lyness, "QUG2: Integration over a Triangle," ANL/MCS-TM-13
(August 1983)

J. N. Lyness and G.Giunta, "A Modification of the Weeks' Method for
Numerical Inversion of the Laplace Transform," ANL/MCS-TM-35 (October
1984)

G.Giunta, J. N. Lyness, and A.Murli "An Implementation of Weeks'
Method for the Inverse Laplace Transform Problem," ANL/MCS-TM-39
(October 1984)

J. N. Lyness,"Extrapolation Methods for Multi-dimensional Quadrature
of singular and regular Integrand Functions," ANL/MCS-TM-45 (February
1985)

J. N. Lyness and Newman,W.;" A classification of lattice rules using
the Reciprocal Lattice Generator Matrix." ANL-89/20

J. N. Lyness and Plowman,S.;Trapezoidal Rule Quadrature Algorithms for
MIMD Distributed Memory Computers. ANL/MCS-P342-1292