1997 CRSC Technical Reports

• CRSC-TR97-1

  A REDUCED BASIS METHOD FOR CONTROL PROBLEMS GOVERNED BY PDES

  K. Ito and S.S. Ravindran

  January, 1997

• CRSC-TR97-2

  DETECTION AND REMEDIATION OF STAGNATION IN THE NELDERMEAD ALGORITHM USING A SUFFICIENT DECREASE CONDITION

  C.T. Kelley

  January, 1997

• CRSC-TR97-3

  THE IDEA BEHIND KRYLOV METHODS

  I.C.F. Ipsen and C.D. Meyer

  January, 1997

• CRSC-TR97-4

  A PRIORI ERROR ESTIMATES FOR NUMERICAL METHODS FOR SCALAR CONSERVATION LAWS. PART III: MULTIDIMENSIONAL FLUX-SPLITTING MONOTONE SCHEMES ON NON-CARTESIAN GRIDS

  B. Cockburn, P.A. Gremaud and X. Yang

  January, 1997

• CRSC-TR97-5

  ON THE EXISTENCE OF NORMAL MODES OF DAMPED DISCRETE-CONTINUOUS SYSTEMS

  H.T. Banks, Z.H. Luo, L.A. Bergman and D.J. Inman

  February, 1997

• CRSC-TR97-6

  MODELING TECHNIQUES FOR MAGNETOSTRICTIVE ACTUATORS

  R.C. Smith

  March, 1997

• CRSC-TR97-7

  IDENTIFICATION OF HYSTERETIC CONTROL INFLUENCE OPERATORS REPRESENTING SMART ACTUATORS: CONVERGENT APPROXIMATIONS

  H.T. Banks, A.J. Kurdila, and G. Webb

  April, 1997

• CRSC-TR97-8

  1996 INDUSTRIAL MATHEMATICS MODELING WORKSHOP FOR GRADUATE STUDENTS

  F. Reitich, J.S. Scroggs, and H.T. Tran

  April, 1997

• CRSC-TR97-9

  RICCATI EQUATIONS FOR STRONGLY STABILIZABLE BOUNDED LINEAR SYSTEMS

  R.F. Curtain and J.C. Oostveen

  April, 1997

• CRSC-TR97-10

  ROBUSTLY STABILIZING CONTROLLERS FOR DISSIPATIVE INFINITE-DIMENSIONAL SYSTEMS WITH COLOCATED ACTUATORS AND SENSORS

  R.F. Curtain and J.C. Oostveen

  April, 1997

• CRSC-TR97-11

  APPROXIMATION ISSUES FOR APPLICATIONS IN OPTIMAL CONTROL AND PARAMETER ESTIMATION

  H.T. Banks and R.H. Fabiano

  April, 1997

• CRSC-TR97-12

  MODELING OF NON-SYMETRICAL DAMAGE IN PLATE-LIKE STRUCTURES

  H.T. Banks, P. Emeric, and L. Plancke

  May, 1997

• CRSC-TR97-13

  HETEROEPITAXIAL PROCESSES AT LOW AND ELEVATED PRESSURES

  K.J. Bachmann and G.M. Kepler

  May, 1997

• CRSC-TR97-14

  BILINEAR TRANSFORMATIONS BETWEEN DISCRETE- AND CONTINUOUS- TIME INFINITE- DIMENSIONAL LINEAR SYSTEMS

  R.F. Curtain and J.C. Oostveen

  June, 1997

• CRSC-TR97-15

  A FAST MULTILEVEL ALGORITHM FOR THE SOLUTION OF NONLINEAR SYSTEMS OF CONDUCTIVE-RADIATIVE HEAT TRANSFER EQUATIONS IN TWO SPACE DIMENSIONS

  J.M. Banoczi and C.T. Kelley

  June, 1997

• CRSC-TR97-16

  ABSOLUTE PERTURBATION BOUNDS FOR MATRIX EIGENVALUES IMPLY RELATIVE BOUNDS

  S.C. Eisenstat and I.C.F. Ipsen

  June, 1997

• CRSC-TR97-17

  PRECONDITIONERS FOR THE REDUCED HESSIAN IN ELLIPTIC VARIATIONAL INEQUALITIES

  T.D. Choi and C.T. Kelley

  July, 1997

• CRSC-TR97-18

  OPTIMAL DESIGN OF HIGH SPEED MECHANICAL SYSTEMS

  J.W. David, C.Y. Cheng, T.D. Choi, C.T. Kelley, and J. Gablonsky

  July, 1997

• CRSC-TR97-19

  LINEAR OPERATOR INEQUALITIES FOR STABLE WEAKLY REGULAR LINEAR SYSTEMS

  R.F. Curtain

  July, 1997

• CRSC-TR97-20

  IF A MATRIX HAS ONLY A SINGLE EIGENVALUE HOW SENSITIVE IS THIS EIGENVALUE

  G.E. Cho and I.C.F. Ipsen

  August, 1997

• CRSC-TR97-21

  COMPUTATION OF NONCLASSICAL SOLUTIONS TO HAMILTON-JACOBI PROBLEMS

  P.A. Gremaud and N.R. Ide

  August, 1997

• CRSC-TR97-22

  STRESS-STRAIN LAWS FOR CARBON BLACK AND SILICON FILLED ELASTOMERS

  H.T. Banks, L.K. Potter, and Y. Zhang

  August, 1997

• CRSC-TR97-23

  LQR CONTROL OF THIN SHELL DYNAMICS: FORMULATION AND NUMERICAL IMPLEMENTATION

  R.C.H. del Rosario and R.C. Smith

  September, 1997

• CRSC-TR97-24

  RELATIVE PERTURBATION RESULTS FOR MATRIX EIGENVALUES AND SINGULAR VALUES

  I.C.F. Ispen

  September, 1997

• CRSC-TR97-25

  A NONLINEAR MODEL-BASED CONTROL METHOD FOR MAGNETOSTRICTIVE ACTUATORS

  R.C. Smith

  September, 1997

• CRSC-TR97-26

  AN ENERGY-BASED HYSTERSIS MODEL FOR MAGNETOSTRICTIVE TRANSDUCERS

  F.T. Calkins, R.C. Smith, and A.B. Flatau

  Septmeber, 1997

• CRSC-TR97-27

  THE SIMPLEX GRADIENT AND NOISY OPTIMIZATION PROBLEMS

  D.M. Bortz and C.T. Kelley

  September, 1997

• CRSC-TR97-28

  REDUCED BASIS METHOD FOR OPTIMAL CONTROL OF UNSTEADY VISCOUS FLOWS

  K. Ito and S.S. Ravindran

  September, 1997

• CRSC-TR97-29

  A DISPERSION MODEL FOR THE HEPATIC UPTAKE AND ELINIATION OF TCDD

  H.T. Banks, C.J. Musante, and H.T. Tran

  September, 1997

• CRSC-TR97-30

  WELL-POSEDNESS FOR A CLASS OF ABSTRACT NONLINEAR PARABOLIC SYSTEMS WITH TIME DELAY

  H.T. Banks and C.J. Musante

  September, 1997

• CRSC-TR97-31

  A PRIORI BOUNDS AND STRUCTURAL STABILITY FOR DOUBLE DIFFUSIVE CONVECTION INCORPORATING THE SORET EFFECT

  B. Straughan and K. Hutter

  September, 1997

• CRSC-TR97-32

  UNDERCOMPRESSIVE SHOCKS FOR A SYSTEM OF HYBERBOLIC CONSERVATION LAWS WITH CUBIC NONLINEARITY

  M.R. Schulze and M. Shearer

  October, 1997

• CRSC-TR97-33

  A NONLINEAR PHYSICS-BASED OPTIMAL CONTROL METHOD FOR MAGNETOSTRICTIVE ACTUATORS

  R.C. Smith

  October, 1997

• CRSC-TR97-34

  ROBUST SOLUTION OF RICHARDS' EQUATION FOR NON-UNIFORM POROUS MEDIA

  C.T. Miller, G.A. Williams, C.T. Kelley, and M.D. Tocci

  November, 1997

• CRSC-TR97-35

  ABSOLUTE AND RELATIVE PERTURBATION BOUNDS FOR INVARIANT SUBSPACES OF DIAGONALISABLE MATRICES

  I.C.F. Ipsen

  November, 1997

• CRSC-TR97-36

  INEXACT NEWTON METHODS AND THE METHOS OF LINES FOR SOLVING RICHARDS' EQUATION IN TWO SPACE DIMENSIONS

  M.D. Tocci, C.T. Kelley, C.T. Miller, and C.E. Kess

  November, 1997

• CRSC-TR97-37

  UNDERCOMPRESSIVE SHOCKS FOR SCALAR CONSERVATION LAWS WITH NONCONVEX FLUXES

  B. Hayes and M. Shearer

  November, 1997