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5. Computing Bounds for Linear Functionals of Exact Weak Solutions to Poissonâ??s Equation - Sauer-Budge, A.M.; Huerta, A.; Bonet, J.; Peraire, Jaime We present a method for Poissonâ??s equation that computes guaranteed upper and lower bounds for the values of linear functional outputs of the exact weak solution of the infinite dimensional continuum problem using traditional finite element approximations.
6. Data Smoothing: Research 2002 - Strang, Gilbert This paper will appear in the book Mathematical Systems Theory (J.
7. Effect of Column Inlet and Outlet Geometry on Large-scale HPLC - Tan, S.N.; Khoo, Boo Cheong The separating characteristics of high performance liquid chromatography (HPLC) columns, measured in terms of the height equivalent of a theoretical plate (HETP) and skewness of the eluted peak, are investigated using computational fluid dynamics (CFD).
8. Generalized Stationary Points and an Interior Point Method for MPEC - Liu, Xinwei; Sun, Jie Some generalized stationary points of MPEC are studied to better describe the limiting points produced by interior point methods for MPEC.A primal-dual interior point method is then proposed, which solves a sequence of relaxed barrier problems derived from MPEC.
9. Model reduction for active control design using multiple-point Arnoldi methods - Lassaux, G.; Willcox, Karen E. By choosing the number of frequency interpolation points and the number of Arnoldi vectors at each frequency point, the user can select the accuracy and range of validity of the resulting reduced-order model while balancing computational expense.
15. Robust Discrete Optimization - Bertsimas, Dimitris J.; Sim, Melvyn We propose an approach to address data uncertainty for discrete optimization problems that allows controlling the degree of conservatism of the solution, and is computationally tractable both practically and theoretically.
16. Statistical Error in Particle Simulations of Fluid Flow and Heat Transfer - Hadjiconstantinou, Nicolas G.; Garcia, Alejandro L.; Bazant, Martin Z.; He, Gang Expressions for the common hydrodynamic variables of interest such as flow velocity, temperature, density, pressure, shear stress and heat flux are derived using equilibrium statistical mechanics.
19. Aerodynamic Shape Design of Transonic Airfoils Using Hybrid Optimization Techniques and CFD - Xing, X.Q.; Damodaran, Murali; Teo, Chung Piaw Previous studies on this topic by the authors had examined the application of deterministic optimization methods and stochastic optimization methods such as Simulated Annealing and Simultaneous Perturbation Stochastic Analysis (SPSA).
20. Fast Methods for Bimolecular Charge Optimization - Bardhan, Jaydeep P.; Lee, J.H.; Kuo, Shihhsien; Altman, Michael D.; Tidor, Bruce; White, Jacob K. We report a Hessian-implicit optimization method to quickly solve the charge optimization problem over protein molecules: given a ligand and its complex with a receptor, determine the ligand charge distribution that minimizes the electrostatic free energy of binding.
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