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R. Butler The Lanczos Legend . . . . . . . . . . . 258 J. R. McConnell Cornelius Lanczos in Dublin (1953--1974) 263--264 Eduardo L. Ortiz Lanczos and the Institute for Advanced Studies in the Early Sixties . . . . . . 266
Ervin Y. Rodin Foreword . . . . . . . . . . . . . . . . 1--1 Yudell L. Luke and Wyman Fair and Jet Wimp Predictor--corrector formulas based on rational interpolants . . . . . . . . . 3--12 R. E. Kalaba and E. A. Zagustin On penetration of a rigid axisymmetric punch into an elastic layer . . . . . . 13--25 H. M. Lieberstein and C. D. Isaacs Hybrid optimization of accelerated successive replacements for linear and nonlinear systems . . . . . . . . . . . 27--40 R. G. Keats Herbert Melvin Lieberstein in memoriam 41--42 H. Melvin Lieberstein Mathematical treatment of some problems in physiology . . . . . . . . . . . . . 43--67 Raj S. Chhikara and Patrick L. Odell On designing simulation models for evaluating discriminant analysis routines . . . . . . . . . . . . . . . . 69--78 E. Stanley Lee and P. K. Misra Optimal weighting function for the invariant imbedding estimator . . . . . 79--88 Leon Cooper The fixed charge problem --- I: a new heuristic method . . . . . . . . . . . . 89--95 K. Kennedy and J. Schwartz An introduction to the set theoretical language SETL . . . . . . . . . . . . . 97--119 Jurg Nievergelt Computers and mathematics education . . 121--132 Richard Bellman and Bayesteh Kashef and E. Stanley Lee and R. Vasudevan Solving hard problems by easy methods: Differential and integral quadrature . . 133--143 C. R. Hallum and M. D. Pore Computational aspects of matrix generalized inversion for the computer with applications . . . . . . . . . . . 145--150 Anonymous Editorial Board . . . . . . . . . . . . ifc--ifc
Marcel F. Neuts Computational uses of the method of phases in the theory of queues . . . . . 151--166 B. Fraeijs de Veubeke and C. Delcourt-Bon The numerical integration of laminar boundary layer equations . . . . . . . . 167--173 A. Miele and J. L. Tietze and J. R. Cloutier A hybrid approach to optimal control problems with bounded state . . . . . . 175--194 Robert B. Kelman and J. Timothy Simpson An algorithm for solving a dual cosine series . . . . . . . . . . . . . . . . . 195--199 Ross A. Overbeek An implementation of hyper-resolution 201--214 Leon Cooper and Mary W. Cooper Non-linear integer programming . . . . . 215--222 Keh-Shin Lii and M. Rosenblatt Asymptotic behavior of a spline estimate of a density function . . . . . . . . . 223--235 A. S. Fraenkel and U. Tassa Strategy for a class of games with dynamic ties . . . . . . . . . . . . . . 237--254 Anonymous Papers in forthcoming issues . . . . . . 255--255
Ervin Y. Rodin and R. Butler and A. Erdélyi and B. Gellai and J. R. McConnell and Eduardo L. Ortiz and I. Rhodes In memory of Cornelius Lánczos . . . . . 257--268 Cornelius Lanczos and Barbara Gellai Fourier analysis of random sequences . . 269--276 R. E. Kalaba and K. Spingarn and E. Zagustin An imbedding method for buckling loads 277--284 Y. L. Luke Some remarks on uniform asymptotic expansions for Bessel functions . . . . 285--290 N. L. Balazs Viscous nozzle flow as a Sturm--Liouville problem . . . . . . . . 291--297 John J. H. Miller On the type of a polynomial $f$, when $ f^*(0) f - f(0) f^*$ is a monomial . . . 299--306 Paul Turán On the latent roots of $ \lambda $ matrices . . . . . . . . . . . . . . . . 307--313 Mátyás Arató Diffusion approximation for multiprogrammed computer systems . . . . 315--326 Elöd Knuth A structured computer system model . . . 327--336 József Tomkó Processor utilization study . . . . . . 337--344 G. Szekeres Cosmology with spinor connection . . . . 345--350 J. Barkley Rosser Nine-point difference solutions for Poisson's equation . . . . . . . . . . . 351--360 W. R. Davis and L. H. Green and L. K. Norris Elucidation of some of Lanczos' thoughts concerning spacetime curvature and the local and non-local parts of the Riemann tensor . . . . . . . . . . . . . . . . . 361--364 P. Erd\Hos and R. L. Graham and E. Szemerédi On sparse graphs with dense long paths 365--369 R. Bellman and Bayesteh Kashef and E. S. Lee and R. Vasudevan Differential quadrature and splines . . 371--376 A. H. Taub Lanczos' splitting of the Riemann tensor 377--380 E. L. Ortiz Step by step Tau method. Part I. Piecewise polynomial approximations . . 381--392 Yves Adam A Hermitian finite difference method for the solution of parabolic equations . . 393--406 E. G. Geisler and A. A. Tal and D. P. Garg On the a-posteriori error bounds for the solution of ordinary nonlinear differential equations . . . . . . . . . 407--416 G. Warzee Finite element analysis of nonlinear magnetic fields . . . . . . . . . . . . 417--425 A. M. Ostrowski An estimate of the approximation to a fixed point of an operator . . . . . . . 427--427 Anonymous Papers in forthcoming issues . . . . . . 428--428
R. Overbeek and J. McCharen and L. Wos Complexity and related enhancements for automated theorem-proving programs . . . 1--16 Daniel Gabay and Bertrand Mercier A dual algorithm for the solution of nonlinear variational problems via finite element approximation . . . . . . 17--40 M. A. Franklin and R. K. Gupta Stack distance density and page fault probability in virtual memory systems 41--48 Leon Cooper and Mary W. Cooper An exact algorithm for the concave transportation problem . . . . . . . . . 49--61 W. L. Miranker and O. Pironneau An example of a global shock fitting method . . . . . . . . . . . . . . . . . 63--71 H. S. Warren, Jr. Definition of the concept ``vector'' in set theoretic programming languages . . 73--83 E. S. Lee and P. Lee Nonlinear boundary value problems and multicomponent distillation . . . . . . 85--93 E. S. Lee and R. Vasudevan and K. M. Wang Invariant imbedding, method of characteristics, and parameter estimation . . . . . . . . . . . . . . . 95--98 Anonymous Papers in forthcoming issues . . . . . . 99--99 Anonymous Editorial board . . . . . . . . . . . . ifc--ifc
John J. Dinkel and Gary A. Kochenberger Maximization of linearly constrained polynomials . . . . . . . . . . . . . . 101--110 P. L. Sachdev A class of exact solutions of boundary value problems for Burger's equation . . 111--116 G. Claessens The rational Hermite interpolation problem and some related recurrence formulas . . . . . . . . . . . . . . . . 117--123 Philip Robers and Leon Cooper A study of the fixed charge transportation problem . . . . . . . . . 125--135 Donald E. Knuth Evaluation of Porter's constant . . . . 137--139 John Ries An algorithm for the power series solution to the first order differential equation where the right side is the ratio of two polynomials . . . . . . . . 141--143 John Cocke and Ken Kennedy Profitability computations on program flow graphs . . . . . . . . . . . . . . 145--159 Steven K. Winker Complete demodulation for automatic theorem proving . . . . . . . . . . . . 161--179 O. N. Strand Some aspects of the behavior of regularized solutions as the amount of smoothing is varied . . . . . . . . . . 181--187 Harry E. Stephanou and George N. Saridis Book Review: \booktitleLegged Locomotion Robots and Anthropomorphic Mechanisms: by M. Vukobratovic. Mihailo Pupin Institute, Belgrade, 1975, 346 pp. \$23} 189--189 Seymour V. Pollack Book Review: \booktitleComputers Communications and Society: by Murray Laver. Oxford University Press, 1975. 99pp. \$11.25} . . . . . . . . . . . . . 190--190 Anonymous Other book received . . . . . . . . . . 191--191
F. H. Mathis and G. W. Reddien Numerical solution of hereditary control problems using necessary conditions . . 193--200 Irene Gargantini Comparing Parallel Newton's Method with Parallel Laguerre's Method . . . . . . . 201--206 Paul J. Nahin An error analysis of an algorithm for Marcum's $Q$-function . . . . . . . . . 207--210 Alberto Peano Hierarchies of conforming finite elements for plane elasticity and plate bending . . . . . . . . . . . . . . . . 211--224 D. D. Georg and R. F. Keller Subspace selection algorithms to be used with the nonlinear projection methods in solving systems of nonlinear equations 225--232 Gregory J. Chaitin Algorithmic entropy of sets . . . . . . 233--245 Simeon Ola Fatunla A new algorithm for numerical solution of ordinary differential equations . . . 247--253 H. Asai A recursive radix conversion formula and its application to multiplication and division . . . . . . . . . . . . . . . . 255--265 D. L. Elliott Book Review: \booktitleIntroduction to Mathematical Biology: By S. I. Rubinow. Wiley--Interscience, New York, 1975, 386 pp. \$22} . . . . . . . . . . . . . . . 267--267
Bernard P. Zeigler and Daniel Ewenczyk Formalization and confirmation of the Boyd--Epley operating system model . . . 1--13 S. J. Farlow Analytical solutions to second order differential equations . . . . . . . . . 15--22 Leon Cooper and Bruce W. Schmeiser A family of heuristic solution methods for a class of nonlinear programming problems . . . . . . . . . . . . . . . . 23--39 L. F. Shampine and K. L. Hiebert Detecting stiffness with the Fehlberg $ (4, 5) $ formulas . . . . . . . . . . . 41--46 John M. Gerstring, Jr. Numerical methods for eigensystems: the Orr--Sommerfeld problem . . . . . . . . 47--52 George Fix and Max Gunzburger Downstream boundary conditions for viscous flow problems . . . . . . . . . 53--63 Edward W. Ng Computations and Applications of Linear Hypergeometric Transformations . . . . . 65--70 Henry P. Decell, Jr. and Shailesh M. Mayekar Feature combinations and the divergence criterion . . . . . . . . . . . . . . . 71--76 N. Metropolis and Stephen M. Tanny Significance arithmetic: the probability of carrying . . . . . . . . . . . . . . 77--81 Robert B. Cooper Book Review: \booktitleQueueing Systems, Volume II: Computer Applications: By Leonard Kleinrock. Wiley--Interscience, New York, 1976, xx + 549 pp. . . . . . . 83--83 W. Ornstein Book Review: \booktitleSome modern mathematics for physicists and other outsiders: By Paul Roman. Pergamon Press, New York, 1975. Volume 1: 378 pp., \$25.00; Volume 2: 335 pp., \$25.00 83--84 Anonymous Editorial board . . . . . . . . . . . . ifc--ifc
Anonymous Obituary notice . . . . . . . . . . . . 85--85 Larry J. LeBlanc A heuristic approach for large scale discrete stochastic transportation-location problems . . . . 87--94 B. Dimsdale Bicubic patch bounds . . . . . . . . . . 95--104 C. Rogers and H. M. Cekirge Non-linear dielectrics . . . . . . . . . 105--112 Joel R. Weiss An efficient algorithm for capacity state calculations for electric generating systems . . . . . . . . . . . 113--116 C. T. Reddy and J. T. Oden A note on optimal error estimates for finite element approximations of a nonlinear two-point boundary-value problem . . . . . . . . . . . . . . . . 117--123 S. C. Choi Two-sample sequential test of normal distributions when one of the sample sizes is fixed . . . . . . . . . . . . . 125--129 Eugene L. Wachspress Stability of numerical solution of semi-discrete parabolic equations . . . 131--133 J. N. Reddy Existence and uniqueness of solutions to a stationary finite element model of the biharmonic equation . . . . . . . . . . 135--147 Ervin Y. Rodin Book Review: \booktitleThe Heat Equation: by D. V. Widder, Academic Press, New York, 1975. 267 pp. \$22.50} 149--149 Keith Kintigh Book Review: \booktitleMathematics and Computers in Archaeology: By J. E. Doran and F. R. Hodson. Harvard University Press, Cambridge, Massachusetts. 1975. 381 pp. \$18.00} . . . . . . . . . . . . 149--150 S. C. Choi Book Review: \booktitleMultiple Regression and Analysis of Variance: by G. O. Wesolowsky, Wiley Interscience, New York, 1976. 292 pp. \$19.95} . . . . 150--151 Ervin Y. Rodin Book Review: \booktitleNonlinear Programming Analysis and Methods: by Mordecal Avriel. Prentice--Hall, New York (July 1976) 512 pp. \$24.95} . . . 151--151 S. C. Choi Book Review: \booktitleIntroduction to Statistics and Computer Programming: by C. F. Kossack and C. I. Henschke, Holden-Day, San Francisco, 1975. 651 pp. \$10.95} . . . . . . . . . . . . . . . . 151--152 Anonymous Book Review: \booktitleComputational Methods of Multivariate Analysis in Physical Geography: by P. M. Mather. John Wiley, New York, August 1976. 532 pp. \$29.95} . . . . . . . . . . . . . . 153--153 Anonymous Book Review: \booktitleDigital System Implementation: by Gerrit A. Blaauw. Prentice--Hall, June 1976. 384 pp. \$16.95} . . . . . . . . . . . . . . . . 153--153 Anonymous Book Review: \booktitleAn Introduction to the Mathematical Theory of Finite Elements: by J. T. Oden and J. N. Reddy. John Wiley, New York, 1976. 419 pp. \$24.95} . . . . . . . . . . . . . . . . 153--153 Anonymous Book Review: \booktitlePrograms and Machines: by Richard Bird. John Wiley, New York, August 1976. 214 pp. \$16.95} 153--153 Anonymous Book Review: \booktitleGeneration, Compilation, Evaluation & Dissemination of Data for Science & Technology: by B. Dreyfus. Pergamon Press, 1975. 171 pp. \$25.00} . . . . . . . . . . . . . . . . 153--154 Anonymous Book Review: \booktitleApplied Finite Element Analysis: by Larry J. Segerlind. John Wiley, New York, August 1976. 401 pp. \$18.95} . . . . . . . . . . . . . . 154--154 Anonymous Book Review: \booktitleFinite Strip Method in Structural Analysis: by Y. K. Cheung. Pergamon Press, England, 1976. 228 pp. \$12.50} . . . . . . . . . . . . 154--154 Anonymous Book Review: \booktitleNumerical Methods in Finite Element Analysis: by Bathe and Wilson. Prentice--Hall, Englewood Cliffs, New Jersey, June 1976. 521 pp. \$28.95} . . . . . . . . . . . . . . . . 154--154 Anonymous Other books received . . . . . . . . . . 155--155
Leon Cooper The determination of optimal faculty staffing for a university . . . . . . . 161--174 M. Judelman and D. H. Jacobson The effect of data grid size on certain interpolation methods for unconstrained function minimization . . . . . . . . . 175--182 Ida Rhodes Computation of the dates of the Hebrew New Year and Passover . . . . . . . . . 183--190 H. W. Hill and W. Squire Computation of semi-infinite integrals on a programmable hand calculator . . . 191--196 David Rodabaugh and Skip Thompson Corrector methods with increased ranges of stability . . . . . . . . . . . . . . 197--201 Robert B. Kelman and Johnathan P. Maheffy and J. Timothy Simpson Algorithms for classic dual trigonometric equations . . . . . . . . 203--215 I. Norman Katz and Mark A. Franklin and A. Sen Optimally stable parallel predictors for Adams--Moulton correctors . . . . . . . 217--233 Roger L. Wainwright and R. F. Keller Algorithms for projection methods for solving linear systems of equations . . 235--245
Gabriel Horvay Cornelius Lanczos, in memoriam . . . . . 251--252 Donald Greenspan Arithmetic applied mathematics . . . . . 253--270 R. Wong Asymptotic expansions of Hankel transforms of functions with logarithmic singularities . . . . . . . . . . . . . 271--286 G. J. Fix and B. Neta Finite element approximation of a nonlinear diffusion problem . . . . . . 287--298 N. Mullineux and J. R. Reed Numerical inversion of integral transforms . . . . . . . . . . . . . . . 299--306 Yudell L. Luke On the error in Padé approximations for functions defined by Stieltjes integrals 307--314 Robert E. Kalaba and Elena Zagustin and W. Holbrow and R. Huss A modification of Davidenko's method for nonlinear systems . . . . . . . . . . . 315--319 George Marsaglia The squeeze method for generating gamma variates . . . . . . . . . . . . . . . . 321--325 Aviezri S. Fraenkel The particles and antiparticles game . . 327--328
R. E. Kalaba and K. Spingarn Post buckling beam configurations via an imbedding method . . . . . . . . . . . . 1--10 Wyman Fair and Daniel A. Doyle Continued fraction solution to a nonlinear integral equation . . . . . . 11--14 Anil B. Jambekar and David I. Steinberg An implicit enumeration algorithm for the all integer programming problem . . 15--31 Simeon O. Fatunla A variable order one-step scheme for numerical solution of ordinary differential equations . . . . . . . . . 33--41 Ding Lee and Stanley Preiser A class of nonlinear multistep $A$-stable numerical methods for solving stiff differential equations . . . . . . 43--51 R. Kalaba and K. Mease An imbedding method for matrix eigenvalue problems . . . . . . . . . . 53--59 T. Mahadeva Rao Error-free computation of characteristic polynomial of a matrix . . . . . . . . . 61--65 G. Petruska Finite element convergence on a fixed grid . . . . . . . . . . . . . . . . . . 67--71 Anonymous Editorial board . . . . . . . . . . . . ifc--ifc
J. B. Bates Fourier transform spectroscopy . . . . . 73--84 I. Norman Katz and Alberto G. Peano and Mark P. Rossow Nodal variables for complete conforming finite elements of arbitrary polynomial order . . . . . . . . . . . . . . . . . 85--112 A. Bamberger and J. Jaffre and J. P. Yvon Punctual control of a vibrating string: Numerical analysis . . . . . . . . . . . 113--138 Jacques Delforge Application of the concept of the conditioning of a matrix to an identification problem . . . . . . . . . 139--148 William Tally On the convergence of optimal linear combination procedures . . . . . . . . . 149--152 H. M. Cekirge and E. Ural Critical coolant flow velocities in reactors having parallel fuel plates . . 153--156 A. C. Smith A one-parameter method for accelerating the convergence of sequences and series 157--171 Deborah Tepper Haimo Representations for Laguerre temperatures . . . . . . . . . . . . . . 173--187 Robert E. Kalaba and Elena A. Zagustin and George Meier An initial value method for orthogonal polynomials . . . . . . . . . . . . . . 189--197 S. C. Choi Book Review: \booktitleMethods for statistical data analysis of multivariate observations: By G. Gnanadesikan, Wiley Interscience, New York, 1977, 311 pp. . . . . . . . . . . 199--199 Thoddi C. T. Kotiah and David I. Steinberg Book Review: \booktitleStatistical methods for digital computers: Edited by Kurt Enslein, Anthony Ralston and Herbert S. Wilf, Wiley Interscience, New York, 1977, 454 pp. \$24.95} . . . . . . 199--200
Anonymous Tenth International Symposium on Mathematical Programming: Montréal 27--31 August 1979 . . . . . . . . . . . . . . i--i Anonymous Erratum . . . . . . . . . . . . . . . . ii--ii D. L. Slotnick and Ahmed Sameh Numerical calculation and computer design . . . . . . . . . . . . . . . . . 201--210 D. J. Evans and M. Hatzopoulos The parallel calculation of the eigenvalues of a real matrix $A$ . . . . 211--218 Dac Q. Dang and D. H. Norrie A finite element method for the solution of singular integral equations . . . . . 219--224 Bernard Rosen Operator method for the perturbative solution of ordinary differential equations . . . . . . . . . . . . . . . 225--235 H. Werner and L. Wuytack Nonlinear quadrature rules in the presence of a singularity . . . . . . . 237--245 B. Neta Finite element approximation of a nonlinear parabolic problem . . . . . . 247--255 R. Kalaba and E. Zagustin Estimation of parameters for a beam on an elastic foundation with large deflections and built in at both ends 257--263 Leon Cooper The stochastic transportation-location problem . . . . . . . . . . . . . . . . 265--275 S. E. Sims A note on some convergence properties of spline functions . . . . . . . . . . . . 277--279 D. I. Steinberg Book Review: \booktitleLinear and combinatorial programming: By Katta G. Murty. John Wiley, New York, 1976, 567 pp. . . . . . . . . . . . . . . . . . . 281--281 D. I. Steinberg Book Review: \booktitleOperations research handbook: Standard algorithms and methods: By Horst A. Eiselt and Helmut von Frajer. De Gruyter. Berlin, 1977, 398 pp., \$32.90} . . . . . . . . 282--282 Leon Cooper Book Review: \booktitleCombinatorial algorithms: Theory and practice: By E. M. Reingold, J. Nievergelt and N. Deo. Prentice--Hall, Englewood Cliffs, NJ, 1977, \$18.95} . . . . . . . . . . . . . 283--283 Leon Cooper Book Review: \booktitleSoftware metrics: By Tom Gilb . . . . . . . . . . . . . . 283--283 Jeffrey W. Wides Book Review: \booktitleSurvey and opinion research: Procedures for processing and analysis: By John A. Sonquist and William C. Dunkelberg. Prentice--Hall, Englewood Cliffs, NJ, 1977, 502 pp. . . . . . . . . . . . . . 284--284 D. I. Steinberg Book Review: \booktitleThe complexity of computing: By John E. Savage. Wiley Interscience, New York, 1976 391 pp., \$22.95} . . . . . . . . . . . . . . . . 285--285 D. I. Steinberg Book Review: \booktitleThe mini-computer in the laboratory: With examples using the PDP-11: By James W. Cooper. Wiley Interscience, New York, 1977, 365 pp., \$19.50} . . . . . . . . . . . . . . . . 285--285 D. I. Steinberg Book Review: \booktitleMathematical models for surface water hydrology: Edited by T. A. Ciriani, U. Maione and J. R. Wallis. Wiley Interscience, New York, 1977, 423 pp., \$27.50} . . . . . 285--285 Anonymous Books received . . . . . . . . . . . . . 286--286
Alan George and W. G. Poole, Jr. and R. G. Voigt Analysis of dissection algorithms for vector computers . . . . . . . . . . . . 287--304 Anil B. Jambekar and David I. Steinberg Computational experience with an algorithm for $0$--$1$ integer programming . . . . . . . . . . . . . . 305--314 G. Thomas The consistence error of extended variational principles in the finite element method . . . . . . . . . . . . . 315--324 H. M. Cekirge Propagation of fire fronts in forests 325--332 Ming-Goei Sheu On theories and applications of mixed finite element methods for linear boundary-value problems . . . . . . . . 333--347 D. J. Rodabaugh and Skip Thompson Adams-type methods with increased ranges of stability . . . . . . . . . . . . . . 349--357 M. Andrews and S. F. McCormick and G. D. Taylor Evaluation of Functions on Microcomputers: Square Root . . . . . . 359--367 R. E. Kalaba and K. Spingarn Numerical approaches to the eigenvalues of Saaty's matrices for fuzzy sets . . . 369--375 Norval D. Wallace Book Review: \booktitleSimulation with GPSS and GPSS V: By P. A. Bobiller, B. C. Kahan and A. R. Probst. Prentice--Hall, Englewood Cliffs NJ, 1976, 495 pp., \$18.50} . . . . . . . . 377--377 S. C. Choi Book Review: \booktitleMethods for Statistical Data Analysis of Multivariate Observations: By G. Gnanadesikan. Wiley Interscience New York, 1977, 311 pp. . . . . . . . . . . 378--378
David R. Stoutemyer Symbolic computer vector analysis . . . 1--9 Larry J. LeBlanc and Mustafa Abdulaal An efficient dual approach to the urban road network design problem . . . . . . 11--19 William Tally A convergence criterion for optimal linear combination procedures . . . . . 21--24 Irene Gargantini The Numerical Stability of Simultaneous Iterations Via Square-Rooting . . . . . 25--31 Paul Erd\Hos and Joel Spencer Evolution of the $n$-cube . . . . . . . 33--39 Sherwood D. Silliman On complete semicardinal quadrature formulae . . . . . . . . . . . . . . . . 41--49 G. Avdelas and A. Hadjidimos On the general problem of formulation and optimization of a $p$-parametric extrapolated alternating direction implicit scheme . . . . . . . . . . . . 51--57 Roger L. Wainwright Acceleration techniques for a class of $x$-projection methods for solving systems of linear equations . . . . . . 59--73 Bernard P. Zeigler Book Review: \booktitleThe foundations of cybernetics: By F. H. George. Gordon and Beach, London, 1977 . . . . . . . . 75--75 Patrick K. Orr Book Review: \booktitleThe complexity of Computing: By John E. Savage. Wiley, New York, 1976. \$22.95} . . . . . . . . . . 76--76 Anonymous Second International Symposium on Innovative numerical analysis in applied engineering science: Montréal, Canada 16--20 June 1980 . . . . . . . . . . . . 77--77 Anonymous Editorial Board . . . . . . . . . . . . ifc--ifc
G. W. Reddien Newton's method and high order singularities . . . . . . . . . . . . . 79--86 George J. Fix and Max D. Gunzburger and R. A. Nicolaides On finite element methods of the least squares type . . . . . . . . . . . . . . 87--98 B. A. Szabo Some recent developments in finite element analysis . . . . . . . . . . . . 99--115 William V. Gehrlein and Peter C. Fishburn Proportions of profiles with a majority candidate . . . . . . . . . . . . . . . 117--124 Vitoriano Ruas Automatic generation of triangular finite element meshes . . . . . . . . . 125--140 Michael P. Windham Reliability for linear differential equations with noisy coefficients . . . 141--144 Mary W. Cooper An improved algorithm for non-linear integer programming . . . . . . . . . . 145--152 Patrick K. Orr Book Review: \booktitleDiscrete Mathematics in Computer Science: By Donald F. Stanat and David F. McAllister. Prentice--Hall, Englewood Cliffs, N.J. 1977, 401 pp., \$17.50} . . 153--153 Thoddi C. T. Kotiah Book Review: \booktitleIntroductory Applied Statistics in Science: by Sung C. Choi, Prentice--Hall, Englewood Cliffs, New Jersey, 1978. 278 pp. \$15.95} . . . . . . . . . . . . . . . . 153--154 Anonymous Other books received . . . . . . . . . . 155--155
Lawrence F. Shampine Better software for ODEs . . . . . . . . 157--161 M. Andrews and B. Eisenberg and S. F. McCormick and G. D. Taylor Evaluation of functions on microcomputers: rational approximation of $k$-th roots . . . . . . . . . . . . 163--167 G. R. Blakley and I. Borosh Rivest--Shamir--Adleman public key cryptosystems do not always conceal messages . . . . . . . . . . . . . . . . 169--178 P. C. Jain and B. L. Lohar Cubic spline technique for coupled non-linear parabolic equations . . . . . 179--185 R. Leonard Brown Stability analysis of nonlinear differential sequences generated numerically . . . . . . . . . . . . . . 187--192 Patrick W. Dymond Indirect addressing and the time relationships of some models of sequential computation . . . . . . . . . 193--209 D. J. Evans and S. O. Okolie A Generalised Sparse Factorisation Method for the Solution of Periodic Tridiagonal Systems . . . . . . . . . . 211--216 Martin Davis and Jacob T. Schwartz Metamathematical extensibility for theorem verifiers and proof-checkers . . 217--230 Bernard P. Zeigler Book Review: \booktitleApplication-Oriented Algebra: By James L. Fisher. IEP, Dun--Donelley, New York 1977 . . . . . . . . . . . . . 231--231 Bernard P. Zeigler Book Review: \booktitleMathematical Modeling: By J. G. Andrews and R. R. McLone. Butterworth, London . . . . . . 231--231 Bernard P. Zeigler Book Review: \booktitleDiscrete Mathematics in Computer Science: By Donald F. Stanat and David F. McAllister. Prentice Hall, Englewood Cliffs, New Jersey 1977 . . . . . . . . 231--232 Jeffrey W. Wides Book Review: \booktitleThe Analysis of Cross-Classifications: By H. T. Reynolds. The Free Press, New York, 1977, xiv + 236pp. . . . . . . . . . . . 232--232
Robin J. Y. McLeod Foreword . . . . . . . . . . . . . . . . iii--iv Eugene L. Wachspress Rational basis functions for curved elements . . . . . . . . . . . . . . . . 235--239 Robin J. Y. McLeod and R. Murphy A numerical comparison of high order transformation and isoparametric transformation methods . . . . . . . . . 241--247 Robin J. Y. McLeod On the stability of two-dimensional interpolation and high order bases for curved finite elements . . . . . . . . . 249--265 Robin J. Y. McLeod Extensions and generalisations of rational and high order transformation methods . . . . . . . . . . . . . . . . 267--276 Robin J. Y. McLeod and A. R. Mitchell A piecewise parabolic $ C^1 $ approximation technique for curved boundaries . . . . . . . . . . . . . . . 277--284 C. M. Andersen and Robin J. Y. McLeod Integration techniques for isoparametric and higher order bases on finite elements with a curved side . . . . . . 285--295 C. M. Andersen Evaluation of integrals for a ten-node isoparametric tetrahedral finite element 297--320 A. R. Mitchell Advantages of cubics for approximating element boundaries . . . . . . . . . . . 321--327 D. Apprato and R. Arcangeli and J. L. Gout Rational interpolation of Wachspress error estimates . . . . . . . . . . . . 329--336 J. L. Gout Construction of a Hermite rational ``Wachspress type'' finite element . . . 337--347 J. L. Gout Interpolation error estimates on Hermite rational ``Wachspress type'' third degree finite element . . . . . . . . . 349--357