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Showing 1 to 20 of 66 for “"Spectral Methods"”.
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Spectral methods for circuit analysis
Harmonic balance (HB) methods are frequency-domain algorithms used for high accuracy computation of the periodic steady-state of circuits. Matrix-implicit Krylov-subspace techniques have made it possible for these methods to simulate large circuits more efficiently. However, the harmonic balance …
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Spectral Methods For The Hamiltonian Systems
<p>We conduct a systematic comparison of spectral methods with some</p> <p>symplectic methods in solving Hamiltonian dynamical systems. Our</p> <p>main emphasis is on the non-linear problems. Numerical evidence has</p> <p>demonstrated that the proposed spectral collocation method preserves</p> …
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Advanced Spectral Methods for Turbulent Flows
Although spectral methods have been in use for decades, there is still room for innovation, refinement and improvement of the methods in terms of efficiency and accuracy, for generalized homogeneous turbulent flows, and especially for specialized applications like the computation of atmospheric …
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Contributions to Bayesian inference via spectral methods
This thesis investigates Bayesian inference methods for time series and spatial models in the frequency domain. One of the main drawbacks of Bayesian inference in this setting is the computational burden, especially for large data. Using ideas from Fourier analysis, the original signal (data) …
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Chebyshev spectral methods for potential field computation
We investigate Chebyshev spectral methods for solving Poisson's equation and the generalized Poisson's equations and apply them to 3-D gravity and DC resistivity modeling. When we approximate a function by a finite sum of Chebyshev polynomials, there are two kinds of errors: truncation and …
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Krylov Subspace Spectral Methods with Non-homogenous Boundary Conditions
<p>For this thesis, Krylov Subspace Spectral (KSS) methods, developed by Dr. James Lambers, will be used to solve a one-dimensional, heat equation with non-homogenous boundary conditions. While current methods such as Finite Difference are able to carry out these computations efficiently, their …
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Applications of Geometric and Spectral Methods in Graph Theory
… on the use of the probabilistic method and spectral graph theory to understand the geometric structure of graphs and find structures in graphs. We will also discuss graph curvature and how curvature lower bounds can be used to give us information about properties of graphs. A rainbow …
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The use of spectral methods in Quasi-geoid modelling
Bibliography: leaves 105-111.
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Spectral methods for boundary value problems in fluid mechanics.
Thesis (Ph. D.)--Massachusetts Institute of Technology, Dept. of Mathematics, 1974.
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Fourier spectral methods for numerical modeling of ionospheric processes
Fourier spectral and pseudospectral methods are used in numerical modeling of ionospheric processes, namely macroscopic evolution of naturally and artificially created ionospheric density irregularities. The simulation model consists of two-dimensional electrostatic nonlinear fluid plasma equations …
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Numerical solution of fractional partial differential equations by spectral methods
… for the modeling of physical models by using spectral methods. In the last few decades, spectral methods have been developed for the solution of time and space dimensional FPDEs. There are different types of spectral methods such as collocation methods, Tau methods and Galerkin methods. This …
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Numerical Simulations Of Black Hole Binaries: Second Order Spectral Methods
Current spectral simulations of Einstein's equations require writing the system in first-order form, potentially introducing instabilities and inefficiencies. This work presents a new penalty method for pseudo-spectral evolutions of second order in space wave equations. The penalties are …
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Spectral methods and computational trade-offs in high-dimensional statistical inference
Spectral methods have become increasingly popular in designing fast algorithms for modern highdimensional datasets. This thesis looks at several problems in which spectral methods play a central role. In some cases, we also show that such procedures have essentially the best performance among all …
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Learning on graphs with high-order relations: spectral methods, optimization and applications
DSpace SAF Submission Ingestion Package generated from Vireo submission #14022 on 2019-11-26 at 12:49:35
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Examining Plasma Instabilities as Ionospheric Turbulence Generation Mechanisms Using Pseudo-Spectral Methods
… solar eclipse. A novel 2D electrostatic pseudo-spectral fluid model is developed to study the growth of these two instabilities and the problem of ionospheric turbulence in general. To focus on the ionospheric turbulence, a set of perturbed governing equations are derived. The model accurately …
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Stability Analysis of Krylov Subspace Spectral Methods for the 1-D Wave Equation in Inhomogeneous Media
<p>Krylov subspace spectral (KSS) methods are high-order accurate, explicit time-stepping methods for partial differential equations (PDEs) that also possess the stability characteristic of implicit methods. Unlike other time-stepping approaches, KSS methods compute each Fourier coefficient of the …
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