Complex Solutions Of The Time Fractional Gross-Pitaevskii (Gp) Equation With External Potential By Using A Reliable Method,
2016
University of Guilan
Complex Solutions Of The Time Fractional Gross-Pitaevskii (Gp) Equation With External Potential By Using A Reliable Method, Nasir Taghizadeh, Mona N. Foumani
Applications and Applied Mathematics: An International Journal (AAM)
In this article, modified (G'/G )-expansion method is presented to establish the exact complex solutions of the time fractional Gross-Pitaevskii (GP) equation in the sense of the conformable fractional derivative. This method is an effective method in finding exact traveling wave solutions of nonlinear evolution equations (NLEEs) in mathematical physics. The present approach has the potential to be applied to other nonlinear fractional differential equations. Based on two transformations, fractional GP equation can be converted into nonlinear ordinary differential equation of integer orders. In the end, we will discuss the solutions of the fractional GP equation with external potentials.
Expectation Maximization-Based Likelihood Inference For Com-Poisson Cure Rate Model With Interval Censored Data,
2016
University of Texas at Arlington
Expectation Maximization-Based Likelihood Inference For Com-Poisson Cure Rate Model With Interval Censored Data, Piyachart Wiangnak
Mathematics Dissertations - Archive
A cure rate or long-term survival model is a model for survival data with the presence of a cure fraction. In this study, we consider the analysis of a cure rate model with interval-censored data, which is one of the most practical censoring scheme in survival study. A competing cause scenario has been considered and the number of competing causes is assumed to follow a flexible Conway-Maxwell Poisson (COM-Poisson) distribution which can handle both over- and under-dispersion that is usually encountered in discrete data and also includes some of the well-known discrete distributions as special cases. In addition, a logistic …
Three Dimensional Image Reconstruction (3direct) Of Sparse Signals With Mri Application,
2016
University of Texas at Arlington
Three Dimensional Image Reconstruction (3direct) Of Sparse Signals With Mri Application, Melinda M. Au
Mathematics Dissertations - Archive
Sparse signal reconstruction has been steadily gaining tremendous attention, specifically in applications of compressed sensing as well as feature selection in signal processing methods [IEEE Signal Processing, Vol. 25 (2008) pp.21-30]. Standard techniques to solve these problems such as the nonlinear Conjugate Gradient method have been used successfully on small and medium sized problems. However, as the desire to collect more data becomes the trend, and the need to process information more quickly and reliably becomes more prevalent than before, these standard meth- ods become inadequate. In this thesis, we present a new approach for sparse signal reconstruction called the …
A Harmonic Function Method For Eeg Source Reconstruction,
2016
University of Texas at Arlington
A Harmonic Function Method For Eeg Source Reconstruction, Hongguang Xi
Mathematics Dissertations - Archive
Neuronal activities generate the electrical current in the brain, and further result in the potential changes over the scalp. Electroencephalography (EEG) is a technique used to record the potential changes on the scalp. Even though fMRI, PET, MEG and other brain-imaging tools are widely used in brain research, they are limited by low spatial/temporal resolution, cost, mobility and suitability for long-term monitoring. In contrast, EEG signals have been successfully used to obtain useful diagnostic information (neural oscillations and response times) in clinical contexts. Further, they present the advantage to be highly portable, inexpensive, and can be acquired at the bedside …
Solving Boundary Value Problems On Various Domains,
2016
Missouri State University
Solving Boundary Value Problems On Various Domains, Ibraheem Otuf
Graduate Theses/Dissertations
Domain-sensitivity is a hallmark in the realm of solving boundary value problems in partial differential equations. For example, the method used in solving a boundary value problem on an finite cylindrical domain is very different from one that arises from a rectangular domain. The difference is also reflected in the types of functions employed in the processes of solving these boundary value problems, as are the mathematical tools utilized in deriving an analytic solution. In this thesis, we solve an important class of partial differential equations with boundary conditions coming from various domains, such as the n dimensional cube, circles, …
Random Walks In A Sparse Random Environment,
2016
Brown University
Random Walks In A Sparse Random Environment, Anastasios Matzavinos, Alexander Roitershtein, Youngsoo Seol
Mathematics and Statistics Faculty Publications
We introduce random walks in a sparse random environment on ℤ and investigate basic asymptotic properties of this model, such as recurrence-transience, asymptotic speed, and limit theorems in both the transient and recurrent regimes. The new model combines features of several existing models of random motion in random media and admits a transparent physical interpretation. More specifically, a random walk in a sparse random environment can be characterized as a “locally strong” perturbation of a simple random walk by a random potential induced by “rare impurities,” which are randomly distributed over the integer lattice. Interestingly, in the critical (recurrent) regime, …
Brownian Manifolds, Negative Type And Geo-Temporal Covariances,
2016
Louisiana State University
Brownian Manifolds, Negative Type And Geo-Temporal Covariances, N H Bingham, Aleksandar Mijatović, Tasmin L Symons
Communications on Stochastic Analysis
No abstract provided.
Generalized Commutative Association Schemes, Hypergroups, And Positive Product Formulas,
2016
Louisiana State University
Generalized Commutative Association Schemes, Hypergroups, And Positive Product Formulas, Michael Voit
Communications on Stochastic Analysis
No abstract provided.
On The Kolmogorov-Wiener-Masani Spectrum Of A Multi-Mode Weakly Stationary Quantum Process,
2016
Louisiana State University
On The Kolmogorov-Wiener-Masani Spectrum Of A Multi-Mode Weakly Stationary Quantum Process, K R Parthasarathy, Ritabrata Sengupta
Communications on Stochastic Analysis
No abstract provided.
Convolution Semigroups Of Probability Measures On Gelfand Pairs, Revisited,
2016
Louisiana State University
Convolution Semigroups Of Probability Measures On Gelfand Pairs, Revisited, David Applebaum
Communications on Stochastic Analysis
No abstract provided.
Positive Definiteness On Spheres And Hyperbolic Spaces,
2016
Louisiana State University
Positive Definiteness On Spheres And Hyperbolic Spaces, Walter R Bloom, N J Wildberger
Communications on Stochastic Analysis
No abstract provided.
Conditions For Stationarity And Ergodicity Of Two-Factor Affine Diffusions,
2016
Louisiana State University
Conditions For Stationarity And Ergodicity Of Two-Factor Affine Diffusions, Beáta Bolyog, Gyula Pap
Communications on Stochastic Analysis
No abstract provided.
A Scalable Preconditioner For A Primal Dpg Method,
2016
Lawrence Livermore National Laboratory
A Scalable Preconditioner For A Primal Dpg Method, Andrew T. Barker, Veselin A. Dobrev, Jay Gopalakrishnan, Tzanio Kolev
Portland Institute for Computational Science Publications
We show how a scalable preconditioner for the primal discontinuous Petrov-Galerkin (DPG) method can be developed using existing algebraic multigrid (AMG) preconditioning techniques. The stability of the DPG method gives a norm equivalence which allows us to exploit existing AMG algorithms and software. We show how these algebraic preconditioners can be applied directly to a Schur complement system arising from the DPG method. One of our intermediate results shows that a generic stable decomposition implies a stable decomposition for the Schur complement. This justifies the application of algebraic solvers directly to the interface degrees of freedom. Combining such results, we …
Preface,
2016
Louisiana State University
Semimartingales In Locally Compact Abelian Groups And Their Characteristic Triples,
2016
Louisiana State University
Semimartingales In Locally Compact Abelian Groups And Their Characteristic Triples, M S Bingham
Communications on Stochastic Analysis
No abstract provided.
Some Considerations On The Structure Of Transition Densities Of Symmetric Lévy Processes,
2016
Louisiana State University
Some Considerations On The Structure Of Transition Densities Of Symmetric Lévy Processes, Lewis J Bray, Neils Jacob
Communications on Stochastic Analysis
No abstract provided.
Strong Stationary Times And The Fundamental Matrix For Recurrent Markov Chains,
2016
Louisiana State University
Strong Stationary Times And The Fundamental Matrix For Recurrent Markov Chains, P J Fitzsimmons
Communications on Stochastic Analysis
No abstract provided.
Bimodules And Hypergroups Associated With Actions Of A Pair Of Groups,
2016
Louisiana State University
Bimodules And Hypergroups Associated With Actions Of A Pair Of Groups, Satoshi Kawakami, Tatsuya Tsurii, Shigeru Yamagami
Communications on Stochastic Analysis
No abstract provided.
A Study In Locally Compact Groups—Chabauty Space, Sylow Theory, The Schur-Zassenhaus Formalism, The Prime Graph For Near Abelian Groups,
2016
Louisiana State University
A Study In Locally Compact Groups—Chabauty Space, Sylow Theory, The Schur-Zassenhaus Formalism, The Prime Graph For Near Abelian Groups, Wolfgang Herfort, Karl H Hofmann, Francesco G Russo
Communications on Stochastic Analysis
No abstract provided.
The Conjugacy Problem For Automorphism Groups Of Countable Homogeneous Structures,
2016
Boise State University
The Conjugacy Problem For Automorphism Groups Of Countable Homogeneous Structures, Samuel Coskey, Paul Ellis
Mathematics Faculty Publications and Presentations
We consider the conjugacy problem for the automorphism groups of a number of countable homogeneous structures. In each case we find the precise complexity of the conjugacy relation in the sense of Borel reducibility.
