TY - JOUR TI - Roundoff error analysis for polynomial interpolation AU - Huang, K AU - Li, Zhilin T2 - Research and Review in Mathematics DA - 1989/// PY - 1989/// IS - 2 ER - TY - JOUR TI - The uniform treatment for linear system — Algorithm and numerical stability AU - Li, Zhilin T2 - Journal on Numerical Methods & Computer Applications DA - 1989/// PY - 1989/// VL - 10 IS - 2 ER - TY - CONF TI - Stochastic Models of Subpopulation Emergence in Heterogeneous Tumors AU - Tran, H. AU - Michelson, S. AU - Ito, K. AU - Leith, J.T. T2 - 12th IMACS World Congress on Scientific Computation A2 - Robert, J. A2 - Midvidy, W. C2 - 1989/// C3 - Electrical and power systems : modelling and simulation CY - Paris, France DA - 1989/// PY - 1988/7// PB - J.C. Balzer AG ER - TY - CONF TI - Linear Quadratic Optimal Control Problem for Linear Systems with Unbounded Input and Output Operators: Numerical Approximations” AU - Ito, K. AU - Tran, H.T. T2 - International Conference on Control of Distributed Parameter Systems A2 - Kappel, E. A2 - Kunisch, K. A2 - Schappacher, W. T3 - International series of numerical mathematics C2 - 1989/// C3 - Control and estimation of distributed parameter systems : 4th International Conference on Control of Distributed Parameter Systems, Vorau, July 10-16, 1988 CY - Chorherrenstift Vorau DA - 1989/// PY - 1988/7/10/ SP - 171–195 PB - Birkhäuser Verlag SN - 9783764323455, 9780817623456 ER - TY - JOUR TI - Stochastic models for subpopulation emergence in heterogeneous tumors AU - Michelson, S AU - Ito, K AU - Tran, H AU - Leith, J T2 - Bulletin of Mathematical Biology DA - 1989/// PY - 1989/// DO - 10.1016/s0092-8240(89)80060-6 VL - 51 IS - 6 SP - 731-747 J2 - Bulletin of Mathematical Biology LA - en OP - SN - 0092-8240 UR - http://dx.doi.org/10.1016/s0092-8240(89)80060-6 DB - Crossref ER - TY - JOUR TI - Construction of kinetically consistent difference schemes on curvilinear grids AU - Elizarova, T. G. AU - Tsynkov, S. V. AU - Chetverushkin, B. N. T2 - Akad. Nauk SSSR Inst. Prikl. Mat. Preprint DA - 1989/// PY - 1989/// IS - 8 SP - 24 UR - https://mathscinet.ams.org/mathscinet-getitem?mr=1019147 N1 - [in Russian] RN - [in Russian] ER - TY - CONF TI - Sequential quadratic programming for parameter identification problems AU - Hwang, D M AU - Kelley, C T T2 - International Federation of Automatic Control A2 - Jai, A El A2 - Amouroux, M C2 - 1989/// C3 - Proceedings of the {IFAC} Symposium on Control of Distributed Parameter Systems DA - 1989/// SP - 105-109 ER - TY - JOUR TI - Hydrodynamic Hot Electron Transport Simulation based on the {M}onte {C}arlo Method AU - Woolard, D L AU - Pelourad, J-L. AU - Trew, R J AU - Littlejohn, M A AU - Kelley, C T T2 - Solid-State Electronics DA - 1989/// PY - 1989/// VL - 32 SP - 1347-1351 ER - TY - JOUR TI - A pointwise quasi-Newton method for unconstrained optimal control problems AU - Kelley, C. T. AU - Sachs, E. W. T2 - Numerische Mathematik DA - 1989/3// PY - 1989/3// DO - 10.1007/bf01406512 VL - 55 IS - 2 SP - 159-176 J2 - Numer. Math. LA - en OP - SN - 0029-599X 0945-3245 UR - http://dx.doi.org/10.1007/bf01406512 DB - Crossref ER - TY - JOUR TI - A fast two-grid method for matrix H-equations AU - Kelley, C. T. T2 - Transport Theory and Statistical Physics AB - Abstract We present a new two-grid method for solution of matrix H-equations that is a generalization of a method due to Atkinson. Our new algorithm provides mesh independent q-linear convergence and can be accelerated to a superlinearly convergent algorithm by means of a quasi-Newton method. In addition the algorithm requires far less storage than Newton's method. Such considerations are especially important for the large problems generated by discretizations of H-equations for matrix-valued functions. Such equations arise in radiative transfer, polarization, and multi-group neutron transport. As a numerical example we show measured convergence rates and discuss timings for a matrix H-equation arising in radiative transfer. DA - 1989/4// PY - 1989/4// DO - 10.1080/00411458908204320 VL - 18 IS - 2 SP - 185-203 J2 - Transport Theory and Statistical Physics LA - en OP - SN - 0041-1450 1532-2424 UR - http://dx.doi.org/10.1080/00411458908204320 DB - Crossref ER - TY - JOUR TI - Hydrodynamic hot-electron transport simulation based on the Monte Carlo method AU - Woolard, D.L. AU - Pelouard, J-L. AU - Trew, R.J. AU - Littlejohn, M.A. AU - Kelley, C.T. T2 - Solid-State Electronics AB - A hydrodynamic hot electron model is used to study electron transport through a submicron N+  N  N+ GaAs structure. This study is used to investigate improvements which the unique features of this model offer to analysis of devices operating under nonstationary transport conditions. The model is based upon semiclassical “hydrodynamic” conservation equations for the average carrier density, momentum and energy. The general model includes particle relaxation times, momentum relaxation times, energy relaxation times, electron temperature tensors and heat flow vectors as a function of average carrier energy for the Γ, X and L valleys of GaAs. For this study, we utilized a simplified single electron gas version of our model to clearly reveal the impact of the nonstationary terms in the model. Results from both a drift-diffusion model approach and a Monte Carlo analysis are used to show the relative accuracy and facility this new model offers for investigating practical submicron device structures operating under realistic conditions. DA - 1989/12// PY - 1989/12// DO - 10.1016/0038-1101(89)90238-4 VL - 32 IS - 12 SP - 1347-1351 J2 - Solid-State Electronics LA - en OP - SN - 0038-1101 UR - http://dx.doi.org/10.1016/0038-1101(89)90238-4 DB - Crossref ER -