Global ETD Search
Search theses and dissertations gathered from participating repositories worldwide. Every result links back to the library that holds it. No account is needed.
Results
Showing 1 to 14 of 14 for “"Continuation method"”.
-
Application of the homotopy continuation method to low-eccentricity preliminary orbit determination
Thesis (M.S.)--Massachusetts Institute of Technology, Dept. of Aeronautics and Astronautics, 1991.
-
A matrix-free numerical bifurcation method applied to sheared annular electroconvection
… using matrix-free numerical bifurcation methods. In particular, we study a model that simulates a liquid crystal film in the Smectic A phase suspended between two annular electrodes, and subjected to an electric potential difference and a shear applied by rotating the inner anode at a …
-
Robust design optimization with dynamic constraints using numerical continuation
… and integral constraints. A successive parameter continuation method combined with polynomial chaos expansions is used to locate stationary points. The use of such an expansion provides the benefit of being able to directly drive the mean and variance of a given response function (or an objective …
-
A parallel adaptive method for pseudo-arclength continuation
We parallelize the pseudo-arclength continuation method for solving nonlinear systems of equations. Pseudo-arclength continuation is a predictor-corrector method where the correction step consists of solving a linear system of algebraic equations. Our algorithm parallelizes adaptive step-length …
-
A computer assisted approach to Hilbert's 16th problem
… fields. In Chapter 3, we introduce parameter continuation methods and applications to multiparameter vectors. In Chapter 4, we summarize recent studies of quadratic systems and address the most used methods, including the uniqueness theorems and classifications of Hopf bifurcations. In Chapter …
-
Instabilities in Multiphysics Problems: Micro- and Nano-electromechanical Systems, and Heat-Conducting Thermoelastoviscoplastic Solids
… by the meshless local Petrov-Galerkin (MLPG) method. The moving least squares (MLS) approximation is used to generate basis functions for the trial solution, and the basis for test functions is taken to be either the weight functions used in the MLS approximation, or the same as for the trial …
-
Robust Non-Matrix Based Power Flow Algorithm for Solving Integrated Transmission and Distribution Systems
… a modified Gauss-Seidel algorithm coupled with a continuation method. GTA is derived from the Generic Programming Paradigm of computer science. It uses topology iterators to move through components in a model and perform calculations. Two advantages that GTA brings are the separation of system …
-
Modeling, Discontinuous Galerkin Approximation and Simulation of the 1-D Compressible Navier Stokes Equations
… by applying a linear discontinuous Galerkin method in the spatial dimension. The resulting finite dimensional model is a differential algebraic equation (DAE) which is solved using standard integrators. We investigate two methods for solving the corresponding steady state equations. The first …
-
Convection in a differentially heated rotating spherical shell of Boussinesq fluid with radiative forcing
… heating is changed, using the pseudo arc-length continuation method, which is a reliable method that can successfully follow a solution curve even at a turning point. Our main result is in regards to hysteresis phenomenon that is associated with transition from one to multiple convective cells, …
-
Cluster Dynamical Mean-Field Theory: Applications to High-Tc Cuprates and to Quantum Chemistry
… be discussed afterwards. Some quantum chemical methods for many-body quantum systems are included for review. Next we present the numerical methods employed in our study. The formalism of the dynamical mean-field approximation will be introduced including the single-site and cluster versions, …
-
Nonlinear flutter of composite shear-deformable panels in a high-supersonic flow
… flutter equations are derived via Galerkin’s method. Periodic solutions and their bifurcations are obtained by using a predictor-corrector type of numerical integration method, i.e., the Shooting Method, in conjunction with the Arclength Continuation Method for the static solution. For the …
-
Solar Sailing Adaptive Control Around the Earth-Moon Lagrange Point L4 for Stellar Observations
… are described along with a pseudo arc-length continuation method for preliminary orbit design. Periodic orbits in the vicinity of L<sub>4</sub> are obtained in the context of the Earth-Moon circular restricted three-body problem (CR3BP) and the Sun-Earth-Moon bi-circular restricted four-body …
-
Estabilidad de puentes líquidos no axilsimétricos
… el espacio de los parámetros. ABSTRACT A numeric method with which equilibrium shapes and the stability of liquid bridges subjected to a wide variety of axisymmetric or non-axisimmetric perturbations can be calculated, has been developed here. The equations governing the steady shape of the liquid …
-
On the application of numerical continuation to large-scale dynamical systems
… value problem is formulated and the numerical continuation method is used for covering the parameter space using the software-package coco. In this dissertation, we first briefly consider the reachability problem in power system networks in which the uncertainties in the loads require robust …