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.
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Showing 1 to 20 of 273 for “"basis functions"”.
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Modeling arterial blood flow using radial basis functions
… arteries using a meshless method, namely radial basis functions with a time integration technique. Since meshless methods do not require the time consuming step of connective mesh generation, interest has grown about applying them in fluid dynamics. The method was implemented and verified using …
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Sine-wave amplitude coding using wavelet basis functions
Thesis (M.S.)--Massachusetts Institute of Technology, Dept. of Electrical Engineering and Computer Science, 1996.
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Macro Basis Functions for Wire and Cable Coupling Analysis
… This dissertation proposes sets of macro basis functions (MBFs) for representing currents on wires and fields inside coaxial cables, to reduce the computational cost while preserving full-wave accuracy. MBFs reduce the solution space by forming a new basis through linear combinations of …
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Numerical solutions to Poisson's equation using radial basis functions
This thesis addresses the problem of obtaining solutions to Poisson's equation which is encountered in the applied sciences and engineering fields. Two separate methods are explained for obtaining particular solutions to this equation. The Method of Fundamental Solutions is then used to solve the …
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Learning Real-World Problems by Finding Correlated Basis Functions
… based on the Fourier transform attempt to learn functions by approximating the largest coefficients of their Fourier representations. Nearly all previous work in Fourier-based learning has been in the theoretical realm, where properties of the transform have made it possible to prove many …
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Reduced-order modeling of MEMS using modal basis functions
The field of MEMS has matured significantly over the last two decades increasing in both complexity and level of integration. To keep up with the demands placed by these changes requires the development of computer-aided design and modeling tools (CAD/CAM) that enable designers to reduce the time …
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Computing Eigenmodes of Elliptic Operators on Manifolds Using Radial Basis Functions
… against existing alternative methods. Radial Basis Function (RBF)-based methods allow one to obtain interpolation and differentiation matrices easily by using scattered data points. We derive expressions for such matrices for the Laplace-Beltrami operator via so-called Reilly’s formulas and …
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Signal theoretic characterization of a function using positive exponential basis functions
… throughout a sample interval by an orthogonal basis function expansion. The characterization described here obtains the coefficients in the expansion by processing the input waveform, in real time, through a system of three terminal passive RC filters. The outputs of the filters are sampled …
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Approximating differentiable relationships between delay embedded dynamical systems with radical basis functions
… systems. The basic approach is to fit radial basis function maps between time delay embeddings of manifolds. We have shown that under certain conditions these maps are generically diffeomorphisms, and can be analysed to determine whether or not the manifolds in question are diffeomorphically …
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FastCaplet : an efficient 3D capacitance extraction solver using instantiable basis functions for VLSI interconnects
… stretched to fit practical complicated cases as basis function building blocks. This "template-instantiated" strategy largely reduces the number of unknowns and computational time without additional overhead. Given that all basis functions are obtained by the same very few stretched templates, …
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The use of conduction mode basis functions in surface integral formulation for wideband impedance extraction
Thesis (S.M.)--Massachusetts Institute of Technology, Dept. of Electrical Engineering and Computer Science, 2003.
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Critical speeds and unbalance response of cantilever-sleeve rotors using finite elements with efficient higher order basis functions
… and essential boundary conditions right in the basis functions at element formulation. Thus, this element adequately represents all the physical situations involved in any combination of displacement, rotation, bending moment and shearing force boundary conditions. The dynamic behavior of a …
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The application of neural networks to communication channel equalisation : a comparison between localised and non-localised basis functions
… of neural networks employing non-localised basis (non-linear) functions (Multi-layer Perceptron) versus those employing localised basis functions (Radial Basis Function Network).
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Very Accurate Quantum Mechanical Non-Relativistic Spectra Calculations of Small Atoms & Molecules Employing All-Particle Explicitly Correlated Gaussian Basis Functions
… using explicitly correlated Gaussian (ECG) basis functions. The physical systems studied in this dissertation are the atomic elements with Z < 7 (although the discussion is not limited to these) and diatomic molecules such as H₂⁺ and H₂ including nuclear isotopic substitution studies with …
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Accelerating the Performance of a Novel Meshless Method Based on Collocation With Radial Basis Functions By Employing a Graphical Processing Unit as a Parallel Coprocessor
… the collocation of the Gaussian radial basis function by utilizing the GPU as a parallel co-processor. Key phases of the proposed meshless method have been executed on the GPU using the NVIDIA CUDA software development kit. Especially, the matrix fill and solution phases have been …
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Developing approximation architectures for decision-making in real-time systems
This thesis studies the design of basis functions in approximate linear programming (ALP) as a decision-making tool. A case study on a robotic control problem shows that feature-based basis functions are very effective because they are able to capture the characteristics and cost structure of the …
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Modeling and Control of a Multibody Hinge-BargeWave Energy Converter
… In particular, PS methods based on Fourier basis functions, are used to derive an optimal control strategy, for a finite time horizon. Therefore, an optimal control strategy, with PS methods based on Fourier basis functions, cannot be applied for realtime control of the WEC, as Fourier basis …
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DISCRETE TRANSFORMS WITH GOOD TIME-FREQUENCY AND SPATIAL-FREQUENCY LOCALIZATION
<p>Discrete orthonormal time-frequency basis functions are described and used for both analysis and synthesis of complex-valued signals. We derive expressions for complex-valued expansion coefficients in time-frequency lattices in the discrete one dimensional case. This derivation is based on …
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Mollified piecewise polynomial approximants of arbitrary order and smoothness
… or mollification regularises piecewise functions with improved differentiability based on the continuity of the mollifier. Therefore convolution is suitable to generating smooth basis functions that reproduce global polynomial and is easy to construct on polytopic cells. We propose the …
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