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 17 of 17 for “"Polynomial Approximations"”.
-
Polynomial approximations for fast predictive analysis of infrastructure systems: Applications to power and transportation systems
The student, Negin Alemazkoor, accepted the attached license on 2019-08-21 at 11:03.
-
Computing the Goodwillie-Taylor tower for discrete modules
… allows us to easily compute their Goodwillie polynomial approximations. By a rank filtration, any functor from finite sets to chain complexes is built from atomic functors. Computing the linear approximation of an atomic functor is a classic result involving partition complexes. Robinson …
-
Analytic representation of quantum systems
… with arbitrary order of growth. The zeros of polynomial approximations of the Mittag-Leffler function are studied.
-
Response surface approximations for pitching moment including pitch-up in the multidisciplinary design optimization of a high-speed civil transport
… process. Using response surface methodology, polynomial approximations to the results obtained from a computationally expensive estimation method were developed by analyzing a set of statistically selected wing shapes. These response surface models were then used during the optimization …
-
A Gauss pseudospectral transcription for optimal control
… algorithms. The method is based on using global polynomial approximations to the dynamic equations at a set of Gauss collocation points. The optimality conditions of the NLP have been found to be equivalent to the discretized optimality conditions of the continuous control problem, which is not …
-
Variable-Complexity Approximations for Aerodynamic Parameters in Hsct Optimization
A procedure for generating and using polynomial approximations to the range or to the cruise drag components in terms of 29 design variables for the High Speed Civil Transport (HSCT) configuration and performance design is presented. Response surface model methodology is used to fit quadratic …
-
Global Optimization of the Nonconvex Containership Design Problem Using the Reformulation-Linearization Technique
… two approaches based on employing a sequence of polynomial programming approximations, each within two alternative branch-and-bound frameworks. In the first approach, we construct a polynomial programming approximation to the containership design problem using the Response Surface Methodology …
-
Augmented Neural Network Surrogate Models for Polynomial Chaos Expansions and Reduced Order Modeling
… interpretability. The first focuses on mimicking polynomial chaos (PC) modeling techniques, modifying the structure of a NN to produce polynomial approximations of the underlying dynamics. This methodology allows for an extractable meaning from the network and results in improvement in accuracy …
-
High-Resolution Digital Noise Mapping of Urban Environments Using the Spectral Element Method
… environments. The method employs high-order polynomial approximations on structured grids, facilitating detailed representation of both regular and irregular geometries, and complex boundary conditions. By doing so, it balances computational efficiency and accuracy, making it an effective …
-
Complex boundary integral techniques for turbomachinery blading
… are solved numerically using low order complex polynomial approximations. The solution of problems defined on regions with corners is considered. A complex integral representation which enables a regular function to be generated from its derivatives is derived. Approximations to the …
-
Multiscale analysis of localized, nonlinear, three-dimensional thermo-structural effects
… heavy mesh refinement (h) and local high-order polynomial approximations (p)—to one-way coupled thermo-structural problems, providing meshing flexibility while remaining accurate and efficient. Linear thermoelasticity and nonlinear thermoplasticity problems are considered, involving both …
-
Shear Behaviour in Slender Reinforced Concrete Beams with and without Transverse Reinforcement
… simplified crack geometries against best-fit polynomial approximations, concluding that when the polynomial curve is fitted on the combined primary and secondary cracks observed in experiments, the 5th- degree polynomial performs better. Consideration of the secondary crack and the primary …
-
Global Optimization of Nonconvex Factorable Programs with Applications to Engineering Design Problems
… Mean-Value Theorem and Chebyshev interpolation polynomials, coordinated with a {em Reformulation-Linearization Technique} (RLT). The initial stage of the lower bounding step generates a tight, nonconvex polynomial programming relaxation for the given problem. Subsequently, an LP relaxation is …
-
Approximation Based Safety and Stability Verification of Hybrid Systems
… for approximating a general hybrid system to a polynomial hybrid system with bounded error. The above technique is in general semi-automatic; and we present a fully automatic efficient method for analysing a subclass of hybrid systems by constructing piecewise polynomial approximations. In terms …
-
Essays on Nonparametric Estimation of Asset Pricing Models
… leads to closed-form price-dividend ratios under polynomial approximations of the unknown functions and affine state variable dynamics. In the empirical application uncertainty and risk aversion are separately identified from size-sorted stock portfolios exploiting the heterogeneous impact of …
-
Secure Gaussian sampling for lattice-based signatures: new directions for reaching high standard deviation
… algorithm evaluates the constituent functions by polynomial approximation. For this, a separate algorithm to find the best polynomial approximations, known as the Remez algorithm, was constructed. Remez polynomials are of the interpolating kind and can be found for the entire domain of the …