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Showing 1 to 20 of 36 for “"test functions"”.
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Stability of queueing networks
… of queueing networks is studied. The use of test functions is a unifying thread. Tools are provided to construct appropriate test functions for complex networks, and the structure of such test functions is examined for specific network models. The analysis of queueing networks is performed in …
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Calibration of a conceptual rainfall-runoff model using simulated annealing
… annealing algorithms have been implemented, tested and evaluated using standard test functions. Appropriate cooling schedules are found for each algorithm and test function investigated. The number of function evaluations required to find the minimum is compared to published results for the …
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Degenerate elliptic second-order differential operators with bounded complex-valued coefficients
… one dimension we characterise when the space of test functions is a core for these operators. In higher dimensions we provide sufficient conditions ...
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Methods for extending high-performance automated test equipment (ATE) using multi-gigahertz FPGA technologies
Methods for Extending High-Performance Automated Test Equipment (ATE) using Multi-Gigahertz FPGA Technologies Ashraf M. Majid 264 Pages Directed by Dr. David Keezer This thesis presents methods for developing multi-function, multi-GHz, FPGAbased test modules designed to enhance the performance …
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Aspects of parallel topologies applied to digital transforms of discrete signals
… also examines the transformations of a number of test functions in order to determine their ability to represent various common global and locally defined functions. It was found that the parallel algorithms developed during the course of this thesis for the discrete Walsh, cosine, Haar and D4 …
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Evolutionary Computation and Experimental Design
… (dynamic hybrids). A large number of empirical tests are carried out to determine the influence of operators and the performance of the hybrids over a range of standard test functions. For very small populations, twenty or less individuals, stochastic universal sampling is demonstrated to be the …
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Stochastic Averaging Correctors for a Noisy Hamiltonian System With Discontinuous Statistics
We construct here certain perturbed test functions for stochastic averaging of a noisy planar Hamiltonian system containing a homoclinic orbit. The noise is assumed to be small and have skewness at the homoclinic orbit. Following Sowers, we center our efforts on a singular perturbations problem in …
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A modified flower pollination algorithm and carnivorous plant algorithm for solving engineering optimization problem
… evaluated using twenty-five well-known benchmark functions with different characteristics and seven Congress on Evolutionary Computation (CEC) 2017 test functions. Their convergence characteristic and computational efficiency were analysed and compared with eight widely used metaheuristic …
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Signal theoretic characterization of a function using positive exponential basis functions
… interval are related to these values. The basis functions result from an exponential transformation applied to the Legendre polynomials and are orthogonal in time over the sample interval. The basis functions and the resulting reconstruction appear as summations of positive exponential terms. …
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Optimization of Plane Wave Directions in Plane Wave Discontinuous Galerkin Methods for the Helmholtz Equation
Recently, the use of special local test functions other than polynomials in Discontinuous Galerkin (DG) approaches has attracted a lot of attention and became known as DG-Trefftz methods. In particular, for the 2D Helmholtz equation, plane waves have been used to derive an Interior Penalty (IP) …
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Schur-class of finitely connected planar domains: the test-function approach
… compact convex set of matrix-valued holomorphic functions with positive real part on a finitely-connected planar domain 𝐑 normalized to have value equal to the identity matrix at some prescribed point t₀ ∈ 𝐑. This leads to an integral representation for such functions more general than what would …
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A Hybridized Discontinuous Petrov-Galerkin scheme for compressible flows
… (HDG) method and the theory of the optimal test functions, suitably modified to enforce the conservativity at the element level. The new scheme maintains the same number of globally coupled degrees of freedom as the HDG method while increasing the stability in the presence of discontinuities …
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Analysis by Meshless Local Petrov-Galerkin Method of Material Discontinuities, Pull-in Instability in MEMS, Vibrations of Cracked Beams, and Finite Deformations of Rubberlike Materials
… (MLS) approximation is used to generate basis functions for the trial solution, and for the test functions. Local symmetric weak formulations are derived, and the displacement boundary conditions are enforced by the method of Lagrange multipliers. Three different techniques are employed to …
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Improve the Active Subspace Method by Partitioning the Parameter Space
… space, which makes the method only applicable to functions that have ridge or near-ridge structures in other words, it only works for a function f such that f (x) g(WTx), where x is an mdimensional parameter space and W is m n, n < m. In this thesis, we propose two families of algorithms that use …
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Improve the Active Subspace Method by Partitioning the Parameter Space
… space, which makes the method only applicable to functions that have ridge or near-ridge structures in other words, it only works for a function f such that f (x) g(WTx), where x is an mdimensional parameter space and W is m n, n < m. In this thesis, we propose two families of algorithms that use …
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The method of sectioning with application to simulation
… unknown and is estimated by the sample means. A test of hypothesis employing the sample means is employed to assess the difference between successive points in the search. Two test statistics of known distribution--normal and t--are considered. The search is terminated when an economic point of …
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Topics in linear spectral statistics of random matrices
… and derive the covariance for a range of test functions and scales. On a separate line of investigation, we study the global spectral behavior of a random matrix arising in statistics, called Kendall's Tau and verify that it satisfies an analogue of the Marc̆enko-Pastur Law.
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Designing Efficient and Accurate Parallel Genetic Algorithms
… GAs that reach the desired solutions in the shortest time possible. The goal of this dissertation is to advance the understanding of parallel GAs and to provide rational guidelines for their design. The research reported here considered three major types of parallel GAs: simple master-slave …
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Instabilities in Multiphysics Problems: Micro- and Nano-electromechanical Systems, and Heat-Conducting Thermoelastoviscoplastic Solids
… (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 solution. In this case the method becomes Bubnov-Galerkin. Essential …
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Arithmetic transfers, modularity of arithmetic theta series and geometry of local-global Shimura varieties at parahoric levels
… derivatives of orbital integrals of explicit test functions to arithmetic intersection numbers of special cycles. The formulation involves a way to resolve the singularity of relevant moduli spaces via natural stratifications and modify derived cycles. They appear naturally in the context of …
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