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K. C. Wong and S. Sitharama Iyengar An efficient algorithm for product computations on computer . . . . . . . . 1--5 Robert B. Kelman Algorithm for the classic dual cosine equation . . . . . . . . . . . . . . . . 7--19 Alireza Akbari and James Hess and Harriet Kagiwada and Robert Kalaba The equivalence of team theory's integral equations and a Cauchy system: sensitivity analysis of a variational problem . . . . . . . . . . . . . . . . 21--36 J. N. Kapur A general population growth model with density dependence . . . . . . . . . . . 37--50 Leigh Tesfatsion $C^3$ modeling with symmetrical rationality . . . . . . . . . . . . . . 51--61 C. Mus\`es Hypernumbers and quantum field theory with a summary of physically applicable hypernumber arithmetics and their geometries . . . . . . . . . . . . . . . 63--94
P. Hillion Invariant imbedding for block tridiagonal systems . . . . . . . . . . 95--122 S. Sitharama Iyengar and Vincent Alia A string searching algorithm . . . . . . 123--131 B. A. Troesch The limiting vortex in the similarity solution for a swirling flow . . . . . . 133--144 J. J. Higgins and C. P. Tsokos A study of the effect of the loss function on Bayes estimates of failure intensity, MTBF, and reliability . . . . 145--166 Donald J. Brown and M. Ali Khan An extension of the Brown--Robinson equivalence theorem . . . . . . . . . . 167--175 A. S. Vatsala and R. L. Vaughn Existence and comparison results for differential equations of Sobolev type 177--187
J. C. Crown A new PEC algorithm for the numerical solution of ordinary differential equations . . . . . . . . . . . . . . . 189--209 R. L. Vaughn Solutions of linear Sobolev differential equations . . . . . . . . . . . . . . . 211--216 J. Hess and Harriet Kagiwada and R. Kalaba and K. Spingarn and C. Tsokos Optimal tactics for close-support operations --- III. Degraded intelligence and communications . . . . 217--228 John Maroulas and Stephen Barnett Continued-fraction expansions for ratios of generalized polynomials . . . . . . . 229--249 A. P. Wang On surface area integration and the related mapping . . . . . . . . . . . . 251--262 K. R. Rao and A. Jalali and P. Yip Rationalized Hadamard--Haar transform 263--281
M. E. Lord Validation of an invariant embedding method for Fredholm integral equations 1--7 Robert W. Jernigan and Chris P. Tsokos Simulation of a nonlinear stochastic ecology model . . . . . . . . . . . . . 9--25 R. W. Jernigan and J. C. Turner and C. P. Tsokos Parameter and moment bounds for a nonlinear stochastic ecology model . . . 27--53 J. S. Kowalik and W. R. Boland Some computational advances in unconstrained optimization . . . . . . . 55--69 N. Ianiro and C. Maffei Nonautonomous differential systems: several functions in the stability problem . . . . . . . . . . . . . . . . 71--80 F. Visentin Limiting processes in the stability problem . . . . . . . . . . . . . . . . 81--91 Anonymous Editorial board . . . . . . . . . . . . ??
M. N. O\uguztöreli and R. B. Stein Neuromuscular resetting and entrainment 93--124 Yoel Haitovsky and Yohanan Wax Generalized ridge regression, least squares with stochastic prior information, and Bayesian estimators . . 125--154 Szu-Cheng S. Ou and Kuo-Nan Liou Numerical experiments on the Helmholtz equation derived from the solar radiation transfer equation in three-dimensional space . . . . . . . . 155--175 Sueo Ueno Inversion of solar transmitted radiance profiles for the atmospheric optical thickness . . . . . . . . . . . . . . . 177--186
R. Kalaba and K. Spingarn and L. Tesfatsion A new differential equation method for finding the Perron root of a positive matrix . . . . . . . . . . . . . . . . . 187--193 Luis G. Vargas A note on the eigenvalue consistency index . . . . . . . . . . . . . . . . . 195--203 Ravi P. Agarwal and E. Thandapani On some new discrete inequalities . . . 205--224 R. E. Kalaba and K. Spingarn Sensitivity of parameter estimates to observations, system identification, and optimal inputs . . . . . . . . . . . . . 225--235 Frank G. Lether Error estimates for Gaussian quadrature 237--246 K. H. Chen and C. C. Yang On $n$-dimensional sampling theorems . . 247--257 Vrudhula K. Murthy and L. Julian Haywood New method for estimating survival curves based upon subpopulations . . . . 259--266 Ronald D. Armstrong and Mabel Tam Kung An algorithm for a least absolute value regression problem with bounds on the parameters . . . . . . . . . . . . . . . 267--279
Robert J. Krueger Determining the Profile of a Nonmonotonic Hill . . . . . . . . . . . 1--16 Thomas D. Rogers and Bruce L. Clarke A Continuous Planar Map With Many Periodic Points . . . . . . . . . . . . 17--33 G. Adomian On product nonlinearities in stochastic differential equations . . . . . . . . . 35--49 F. E. Ulwadia A note on the reliability of redundant systems . . . . . . . . . . . . . . . . 51--78 S. Lakshmivarahan A learning approach to the two person decentralized team problem with incomplete information . . . . . . . . . 79--82 Anonymous Editorial Board . . . . . . . . . . . . ??
Robert Kalaba and Nima Rasakhoo Analytical aspects of computational linear algebra . . . . . . . . . . . . . 83--109 G. Adomian and D. Sarafyan Numerical solution of differential equations in the deterministic limit of stochastic theory . . . . . . . . . . . 111--119 J. Maroulas and D. Dascalopoulos Applications of the generalized Sylvester matrix . . . . . . . . . . . . 121--135 J. Keilson and W. Nunn and U. Sumita The bilateral Laguerre transform . . . . 137--174
R. Kalaba and K. Spingarn Design of linear regulators with energy constraints . . . . . . . . . . . . . . 175--185 G. Adomian and K. Malakian A comparison of the iterative method and Picard's successive approximations for deterministic and stochastic differential equations . . . . . . . . . 187--204 Robert Kalaba and Nima Rasakhoo The most representative shape of a family of curves . . . . . . . . . . . . 205--236
Susan P. Haynie and Robert E. Kalaba Fitting a nonlinear differential system to population data: the two-sex geometric-mean model . . . . . . . . . . 1--26 M. Ali Khan Approximate convexity of average sums of sets in normed linear spaces . . . . . . 27--34 V. Lakshmikantham and B. G. Pachpatte Monotone method for nonlinear boundary value problems arising in transport processes . . . . . . . . . . . . . . . 35--41 J. Langerholc Calculation of moving phase boundaries with latent heat . . . . . . . . . . . . 43--51 Zhong-De Wang Harmonic analysis with a real frequency function --- I. Aperiodic case . . . . . 53--73 Anonymous Editorial Board . . . . . . . . . . . . ??
B. Hassard and I. M. El-Henawy Numerical Hopf bifurcation analysis in nonlinear ordinary and partial differential systems from chemical reactor theory . . . . . . . . . . . . . 75--92 Paul Nelson and Seok Sagong and Ira T. Elder Invariant imbedding applied to homogeneous two-point boundary-value problems with a singularity of the first kind . . . . . . . . . . . . . . . . . . 93--110 Layne T. Watson Engineering applications of the Chow--Yorke algorithm . . . . . . . . . 111--133 Jane Moore Existence of multiple quasifixed points of mixed monotone operators by iterative techniques . . . . . . . . . . . . . . . 135--141 Vrudhula K. Murthy and L. Julian Haywood Comparative survival curve analysis in sickle cell disease . . . . . . . . . . 143--152
Zhong-De Wang Harmonic analysis with a real function of frequency --- II. Periodic and bounded cases . . . . . . . . . . . . . 153--163 B. G. Pachpatte and A. S. Vatsala Monotone method for equations describing transport phenomena in a Banach space 165--174 David Levin and Avram Sidi Two New Classes of Nonlinear Transformations for Accelerating the Convergence of Infinite Integrals and Series . . . . . . . . . . . . . . . . . 175--215 Robert B. Kelman Convergence of Solutions to the Classic Dual Cosine Equation . . . . . . . . . . 217--225
Joe F. Thompson General curvilinear coordinate systems 1--30 C. Wayne Mastin Error induced by coordinate systems . . 31--40 Z. U. A. Warsi Basic differential models for coordinate generation . . . . . . . . . . . . . . . 41--77 Joe F. Thompson Elliptic grid generation . . . . . . . . 79--105 David C. Ives Conformal grid generation . . . . . . . 107--135 Robert E. Smith Algebraic grid generation . . . . . . . 137--170 William J. Gordon and Linda C. Thiel Transfinite mappings and their application to grid generation . . . . . 171--233 P. E. Rubbert and K. D. Lee Patched coordinate systems . . . . . . . 235--252 John C. McWhorter Solid mechanics applications of boundary fitted coordinate systems . . . . . . . 253--276 J. U. Brackbill Coordinate system control: Adaptive meshes . . . . . . . . . . . . . . . . . 277--294 Joseph L. Steger On application of body conforming curvilinear grids for finite difference solution of external flow . . . . . . . 295--316 Dale A. Anderson and M. M. Rai The use of solution adaptive grids in solving partial differential equations 317--338 Harry A. Dwyer and Mitchell D. Smooke and Robert J. Kee Adaptive gridding for finite difference solutions to heat and mass transfer problems . . . . . . . . . . . . . . . . 339--356 Doyle D. Knight Application of curvilinear coordinate generation techniques to the computation of internal flows . . . . . . . . . . . 357--384 Henry J. Haussling Solution of nonlinear water wave problems using boundary-fitted coordinate systems . . . . . . . . . . . 385--407 Billy H. Johnson Numerical modeling of estuarine hydrodynamics on a boundary-fitted coordinate system . . . . . . . . . . . 409--436 P. D. Manhardt and A. J. Baker Automated three-dimensional grid refinement on a minicomputer . . . . . . 437--446 Peter R. Eiseman Automatic algebraic coordinate generation . . . . . . . . . . . . . . . 447--463 A. Roberts Automatic topology generation and generalised $B$ spline mapping . . . . . 465--486 James M. Hyman and Bernard Larrouturou The numerical differentiation of discrete functions using polynomial interpolation methods . . . . . . . . . 487--506 O. L. Anderson and R. T. Davis and G. B. Hankins and D. E. Edwards Solution of viscous internal flows on curvilinear grids generated by the Schwarz---Christoffel transformation . . 507--524 Jon J. Yagla Test problems, coordinate transformations, and technique for nonsteady compressible flow analysis . . 525--546 Wen-Huei Jou An experience in mesh generation for three-dimensional calculation of potential flow around a rotating propeller . . . . . . . . . . . . . . . 547--561 Djordje S. Dulikravich Fast generation of three-dimensional computational boundary-conforming periodic grids of C-type . . . . . . . . 563--584 Douglas Halsey Conformal grid generation for multielement airfoils . . . . . . . . . 585--600 Andrew Harrington Conformal mappings onto multiply connected regions with specified boundary shapes: a preliminary discussion of computer implementation 601--618 B. C-J. Chen and T. H. Chien and W. T. Sha and J. H. Kim $3$-D solution of flow in an infinite square array of circular tubes by using boundary-fitted coordinate system . . . 619--632 Roderick M. Coleman Generation of boundary-fitted coordinate systems using segmented computational regions . . . . . . . . . . . . . . . . 633--651 Reese L. Sorenson Grid generation by elliptic partial differential equations for a tri-element Augmentor-Wing airfoil . . . . . . . . . 653--665 P. D. Thomas Numerical generation of composite three dimensional grids by quasilinear elliptic systems . . . . . . . . . . . . 667--686 C. F. Shieh Three-dimensional grid generation using Poisson equations . . . . . . . . . . . 687--694 Frank C. Thames Generation of three-dimensional boundary-fitted curvilinear coordinate systems for wing/wing-tip geometries using the elliptic solver method . . . . 695--716 Z. U. A. Warsi and J. P. Ziebarth Numerical generation of three-dimensional coordinates between bodies of arbitrary shapes . . . . . . . 717--728 Patrick J. Roache Semidirect/marching solutions and elliptic grid generation . . . . . . . . 729--737 Karl D. Klevenhusen $2$-D elliptic grid generation using a singularity method and its application to transonic interference flows . . . . 739--760 G. R. Shubin and A. B. Stephens and J. B. Bell Three dimensional grid generation using biharmonics . . . . . . . . . . . . . . 761--774 S. Nakamura Marching grid generation using parabolic partial differential equations . . . . . 775--786 G. David Kerlick and Goetz H. Klopfer Assessing the quality of curvilinear coordinate meshes by decomposing the Jacobian matrix . . . . . . . . . . . . 787--807 Martha B. Aston and J. W. Thomas An implicit scheme for water wave problems . . . . . . . . . . . . . . . . 809--818 Peter A. Gnoffo A vectorized, finite-volume, adaptive-grid algorithm for Navier--Stokes calculations . . . . . . 819--835 Joshua C. Anyiwo Idealized dynamic grid computation of physical systems . . . . . . . . . . . . 837--858 C. M. Ablow Equidistant mesh for gas dynamic calculations . . . . . . . . . . . . . . 859--863 Jeffrey Saltzman and Jeremiah Brackbill Applications and generalizations of variational methods for generating adaptive meshes . . . . . . . . . . . . 865--884 C. I. Christov Orthogonal coordinate meshes with manageable Jacobian . . . . . . . . . . 885--894 Anonymous Index . . . . . . . . . . . . . . . . . 895--909 Anonymous Acknowledgement . . . . . . . . . . . . xvii--xvii Anonymous Editorial board . . . . . . . . . . . . iii--iv Joe F. Thompson Foreword . . . . . . . . . . . . . . . . xix--xxv
J. Garcia-Peña and S. P. Azen and R. N. Bergman On a modification of Marquardt's compromise: Rationale and applications 1--17 J. Casti Forest monitoring and harvesting policies . . . . . . . . . . . . . . . . 19--48 N. I. Ioakimidis On the numerical solution of Cauchy type singular integral equations by the collocation method . . . . . . . . . . . 49--60 Karmeshu and R. K. Pathria and V. P. Jain A dynamical model of company growth . . 61--75 Mansour Samimi and V. Lakshmikantham General uniqueness criteria for ordinary differential equations . . . . . . . . . 77--88 Anonymous Editorial Board . . . . . . . . . . . . i--ii
E. R. Hansen and R. I. Greenberg An interval Newton method . . . . . . . 89--98 M. H. Nathanson and R. S. Hillman and C. Georgakis Towards an optimal drug-delivery regimen for methotrexate chemotherapy . . . . . 99--117 Robert Kalaba and Nima Rasakhoo and Asher Tishler Nonlinear least squares via automatic derivative evaluation . . . . . . . . . 119--137 C. Mus\`es Hypernumbers and time operators . . . . 139--167 T. L. Vincent and C. S. Lee Parametric optimization with dynamic systems . . . . . . . . . . . . . . . . 169--185 K. K. Bharadwaj and M. K. Kadalbajoo and R. Sankar Symmetric marching technique for the discretized Poisson equation . . . . . . 187--198 Robert Kalaba and Nima Rasakhoo and Asher Tishler and Jia Song Wang A new proof for Decell's finite algorithm for generalized inverses . . . 199--211 S. W. Du Monotone iterative technique for delay differential equations in abstract cones 213--219 Robert W. Jernigan and John C. Turner Seasonal trends in unequally spaced data: Confidence intervals for spectral estimates . . . . . . . . . . . . . . . 221--236 S. Orlovski and S. Rinaldi and R. Soncini-Sessa A min-max approach to storage control problems . . . . . . . . . . . . . . . . 237--254 M. N. O\uguztöreli and C. P. Tsokos and J. Akabutu A kinetic study of chemotherapy . . . . 255--300
Luis G. Vargas Analysis of sensitivity of reciprocal matrices . . . . . . . . . . . . . . . . 301--320 S. Sitharama Iyengar and A. K. Rajagopal and V. R. R. Uppuluri String patterns of leading digits . . . 321--337 A. Bárdossy and I. Bogárdi Network design for the spatial estimation of environmental variables 339--365 G. R. Shendge and A. S. Vatsala Comparison results for first and second order boundary value problems at resonance . . . . . . . . . . . . . . . 367--380 H. A. Watts and M. R. Scott and M. E. Lord Solving complex-valued differential systems . . . . . . . . . . . . . . . . 381--394 Anonymous Hypernumbers and time operators: C. Musés, \bf 12:139--168 (1983) . . . . . . 395--395
A. Alvarez and Kuo Pen-Yu and Luis Vasquez The numerical study of a nonlinear one-dimensional Dirac equation . . . . . 1--15 C. Coppin and D. Greenspan Discrete modeling of minimal surfaces 17--35 T. Sasagawa Analytical construction of a negative semidefinite solution of algebraic Riccati equations and its application 37--54 Masanori Sugisaka The design of on-line linear least-squares estimators given covariance specifications via an imbedding method . . . . . . . . . . . . 55--85 Sueo Ueno An initial-value solution of the least-squares estimation problem with degenerate covariance . . . . . . . . . 87--94 A. Tishler and I. Zang A min-max algorithm for non-linear regression models . . . . . . . . . . . 95--115 Harriet H. Kagiwada and Robert E. Kalaba An initial value method for the nonlinear integral equation $F(u(t), t, \lambda) = \lambda \int^1_0 k(t, y, u(y))\,dy$ . . . . . . . . . . . . . . . 117--124 Milan Kubí\vcek and Alois Klí\vc Direction of branches bifurcating at a bifurcation point. Determination of starting points for a continuation algorithm . . . . . . . . . . . . . . . 125--142 R. Kalaba and A. Tishler A Computer program to minimize a function with many variables using computer evaluated exact higher-order derivatives . . . . . . . . . . . . . . 143--172 Lucien Duckstein Evaluation of the performance of a distribution system by $Q$-Analysis . . 173--184 Dietmar Saupe Global bifurcation of periodic solutions to some autonomous differential delay equations . . . . . . . . . . . . . . . 185--211 Anonymous Editorial board . . . . . . . . . . . . iii--iv
Steve McCormick and Ulrich Trottenberg Preface . . . . . . . . . . . . . . . . 213--213 D. Barkai and A. Brandt Vectorized multigrid Poisson solver for the CDC Cyber 205 . . . . . . . . . . . 215--227 A. Behie and P. A. Forsyth, Jr. Multi-grid solution of three-dimensional problems with discontinuous coefficients 229--240 D. A. Caughey Multi-grid calculation of three-dimensional transonic potential flows . . . . . . . . . . . . . . . . . 241--260 J. E. Dendy, Jr. Black box multigrid for nonsymmetric problems . . . . . . . . . . . . . . . . 261--283 John Gary and Steve McCormick and Roland Sweet Successive overrelaxation, multigrid, and preconditioned conjugate gradients algorithms for solving a diffusion problem on a vector computer . . . . . . 285--309 P. W. Hemker and R. Kettler and P. Wesseling and P. M. de Zeeuw Multigrid methods: development of fast solvers . . . . . . . . . . . . . . . . 311--326 Antony Jameson Solution of the Euler equations for two dimensional transonic flow by a multigrid method . . . . . . . . . . . . 327--355 Dennis C. Jespersen Design and implementation of a multigrid code for the Euler equations . . . . . . 357--374 Gary M. Johnson convergence acceleration of viscous and inviscid . . . . . . . . . . . . . . . . 375--398 D. R. McCarthy and R. C. Swanson Embedded mesh multigrid treatment of two-dimensional transonic flows . . . . 399--417 Klaus Stüben Algebraic multigrid (AMG): experiences and comparisons . . . . . . . . . . . . 419--451 John Van Rosendale Algorithms and data structures for adaptive multigrid elliptic solvers . . 453--470 Anonymous Author index to volumes 12 and 13, 1983 471--473
D. S. Dendrinos Introduction --- nonlinear dynamics in urban and regional modeling . . . . . . 1--2 Tönu Puu A model of spatial flows and growth of capital and labor stocks . . . . . . . . 3--9 Dimitrios S. Dendrinos and Henry Mullally Interurban population and capital accumulations and structural stability 11--24 Ian Stewart Beyond elementary catastrophe theory . . 25--31 Giorgio Leonardi Introduction --- spatial choice models in housing, transportation, and land use analysis . . . . . . . . . . . . . . . . 33--34 Tony E. Smith A choice probability characterization of generalized extreme value models . . . . 35--62 Jörgen W. Weibull A stock-flow approach to general equilibrium with trade frictions . . . . 63--76 André de Palma and Claude Lef\`evre Bifurcation and behavior of complex systems . . . . . . . . . . . . . . . . 77--95 P. M. Allen and F. Boon and G. Engelen and M. Sanglier Modeling evolving spatial choice patterns . . . . . . . . . . . . . . . . 97--129
R. Kalaba and K. Spingarn Automatic solution of optimal-control problems. I. Simplest problem in the calculus of variations . . . . . . . . . 131--148 Ralph M. Wilcox and Leo P. Harten MACSYMA-generated closed-form solutions to some matrix Riccati equations . . . . 149--166 P. M. Hanson and I. Gladwell Error analysis of modal methods for viscously damped structural systems . . 167--195 Mohan K. Kadalbajoo and K. K. Bharadwaj Symmetric marching technique for the numerical solution of nonseparable elliptic equations . . . . . . . . . . . 197--206 C. Mus\`es Some current dilemmas in applied physical mathematics with some solutions 207--217 Anonymous Errata: C. Mus\`es, ``Hypernumbers and time operators'', Applied Mathematics and Computation, \bf 12(2-?3), May 1983, Pages 139--167 . . . . . . . . . . . . . 219--219
A. K. Rajagopal and V. R. R. Uppuluri and David S. Scott and S. Sitharama Iyengar and Mohan Yellayi New structural properties of strings generated by leading digits of 2 $^{ {N} }$ . . . . . . . . . . . . . . . . . . . 221--244 Mark Gershon and Lucien Duckstein A procedure for selection of a multiobjective technique with application to water and mineral resources . . . . . . . . . . . . . . . 245--271 Laszlo Lengyel and Sandor Molnar and Ferenc Szidarovszky A system model for the utilization of mineral resources . . . . . . . . . . . 273--287 R. Kalaba and K. Spingarn Automatic solution of optimal-control problems. IV. Gradient method . . . . . 289--300 Denzil G. Fiebig On the maximum-entropy approach to undersized samples . . . . . . . . . . . 301--312
Ushio Sumita The matrix Laguerre transform . . . . . 1--28 Sidney Yakowitz and Brian Rutherford Computational aspects of discrete-time optimal control . . . . . . . . . . . . 29--45 P. S. Theocaris and G. Tsamasphyros A numerical solution of singular integrodifferential equations with variable coefficients . . . . . . . . . 47--59 Tony E. Smith A solution condition for complementarity problems: with an application to spatial price equilibrium . . . . . . . . . . . 61--69 V. Lakshmikantham and V. Sree Hari Rao and A. S. Vatsala Monotone method for a system of second order periodic boundary value problems 71--83 L. Papa Application of the Courant--Isaacson--Rees method to solve the shallow-water hydrodynamic equations 85--92 Anonymous Editorial Board . . . . . . . . . . . . ii--iii
John Gregory and Marvin Zeman A Galerkin Approximation for the Initial-Value Problem for Linear Second-Order Differential Equations . . 93--108 Nader G. Zamani A Collocation Finite Element Method for Integration of the Boundary Layer Equations . . . . . . . . . . . . . . . 109--122 Przemyslaw Zielinski An application of the Fokker--Planck equation in stochastic reservoir theory 123--136 Kamal K. Bharadwaj and Mohan K. Kadalbajoo and R. Sankar Symmetric marching technique for the Poisson equation. I. Dirichlet boundary conditions . . . . . . . . . . . . . . . 137--149 Kamal K. Bharadwaj and Mohan K. Kadalbajoo and R. Sankar Symmetric marching technique for the Poisson equation. II. Mixed boundary conditions . . . . . . . . . . . . . . . 151--163 G. Guariso and S. Rinaldi and P. Zielinski The value of information in reservoir management . . . . . . . . . . . . . . . 165--184
J. Casti and E. F. Wood Some questions of reachability in natural-resource management . . . . . . 185--207 G. R. Shendge and A. S. Vatsala Comparison results for parabolic differential equations at resonance . . 209--219 Juan J. Nieto Existence of periodic solutions for first order differential equations . . . 221--232 James A. Pennline Constructive existence and uniqueness for two-point boundary-value problems with a linear gradient term . . . . . . 233--260 M. Holodniok and M. Kubi\vcek New algorithms for the evaluation of complex bifurcation points in ordinary differential equations. A comparative numerical study . . . . . . . . . . . . 261--274