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
- 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