Browsing Theses  Computation for Design and Optimization by Title
Now showing items 131150 of 174

Reduced basis method for 2nd order wave equation : application to onedimensional seismic problem
(Massachusetts Institute of Technology, 2006)In this thesis, we solve the 2nd order wave equation, which is hyperbolic and linear in nature, to determine the pressure distribution for a onedimensional seismic problem with smooth initial pressure and rate of pressure ... 
Reduced basis method for Boltzmann equation
(Massachusetts Institute of Technology, 2006)The main aim of the project is to solve the BGK model of the Knudsen parameterized Boltzmann equation which is 1d with respect to both space and velocity. In order to solve the Boltzmann equation, we first transform the ... 
A reducedbasis method for inputoutput uncertainty propagation in stochastic PDEs
(Massachusetts Institute of Technology, 2013)Recently there has been a growing interest in quantifying the effects of random inputs in the solution of partial differential equations that arise in a number of areas, including fluid mechanics, elasticity, and wave ... 
Reduceddimension model for the RayleighTaylor instability in a HeleShaw cell
(Massachusetts Institute of Technology, 2019)In this thesis we present a reduceddimension model for the densitydriven hydrodynamic RayleighTaylor instability. We motivate the project with experimental findings of a littleunderstood stabilizing effect of geometry ... 
Reducedspace Gaussian process regression forecast for nonlinear dynamical systems
(Massachusetts Institute of Technology, 2016)In this thesis work, we formulate a reducedorder datadriven strategy for the efficient probabilistic forecast of complex highdimensional dynamical systems for which datastreams are available. The first step of this ... 
Relative effectiveness of inhibition strategies for control of biological signaling pathways
(Massachusetts Institute of Technology, 2010)Many therapeutically useful and critically important drugs are inhibitors of particular enzymes in a signaling pathway. The efficiency with which an inhibitor inactivates its target can be characterized by the binding ... 
Return on investment and library complexity analysis for DNA sequencing
(Massachusetts Institute of Technology, 2016)Understanding the profiles of information acquisition during DNA sequencing experiments is critical to the design and implementation of largescale studies in medical and population genetics. One known technical challenge ... 
Riemannian geometry of matrix manifolds for Lagrangian uncertainty quantification of stochastic fluid flows
(Massachusetts Institute of Technology, 2017)This work focuses on developing theory and methodologies for the analysis of material transport in stochastic fluid flows. In a first part, two dominant classes of techniques for extracting Lagrangian Coherent Structures ... 
Robust adaptive highorder RANS methods
(Massachusetts Institute of Technology, 2014)The ability to achieve accurate predictions of turbulent flow over arbitrarily complex geometries proves critical in the advancement of aerospace design. However, quantitatively accurate results from modern Computational ... 
Robust design via geometric and signomial programming
(Massachusetts Institute of Technology, 2018)Solving convex optimization problems has become extremely efficient and reliable after the recent development of polynomialtime algorithms and advancement in computing power. Geometric Programming (GP) and Signomial ... 
Robust fluid control of multiclass queueing networks
(Massachusetts Institute of Technology, 2006)This thesis applies recent advances in the field of robust optimization to the optimal control of multiclass queueing networks. We develop models that take into account the uncertainty of interarrival and service time in ... 
Robust option pricing : An [epsilon]arbitrage approach
(Massachusetts Institute of Technology, 2009)This research aims to provide tractable approaches to price options using robust optimization. The pricing problem is reduced to a problem of identifying the replicating portfolio which minimizes the worst case arbitrage ... 
Robust scheduling in forest operations planning
(Massachusetts Institute of Technology, 2008)Forest operations planning is a complex decision process which considers multiple objectives on the strategic, tactical and operational horizons. Decisions such as where to harvest and in what order over different time ... 
Robust transportation network design under user equilibrium
(Massachusetts Institute of Technology, 2007)We address the problem of designing a transportation network in the presence of demand uncertainty, multiple origindestination pairs and a budget constraint for the overall construction cost, under the behavioral assumption ... 
RungeKutta Discontinuous Galerkin method for the Boltzmann equation
(Massachusetts Institute of Technology, 2006)In this thesis we investigate the ability of the RungeKutta Discontinuous Galerkin (RKDG) method to provide accurate and efficient solutions of the Boltzmann equation. Solutions of the Boltzmann equation are desirable in ... 
A scalable methodology for modeling cities as systems of systems
(Massachusetts Institute of Technology, 2013)As cities evolve in size and complexity, their component systems become more interconnected. Comprehensive modeling and simulation is needed to capture interactions and correctly assess the impact of changes. This thesis ... 
Scheduling of biological samples for DNA sequencing
(Massachusetts Institute of Technology, 2009)In a DNA sequencing workflow, a biological sample has to pass through multiple process steps. Two consecutive steps are hydroshearing and library construction. Samples arrive randomly into the inventory and are to complete ... 
Secure electric power grid operation
(Massachusetts Institute of Technology, 2015)This thesis examines two problems concerning the secure and reliable operation of the electric power grid. The first part studies the distributed operation of the electric power grid using the power flow problem, which is ... 
Semidefinite relaxation based branchandbound method for nonconvex quadratic programming
(Massachusetts Institute of Technology, 2006)In this thesis, we use a semidefinite relaxation based branchandbound method to solve nonconvex quadratic programming problems. Firstly, we show an interval branchandbound method to calculate the bounds for the minimum ... 
Sensitivity analysis of oscillating hybrid systems
(Massachusetts Institute of Technology, 2010)Many models of physical systems oscillate periodically and exhibit both discretestate and continuousstate dynamics. These systems are called oscillating hybrid systems and find applications in diverse areas of science ...