Approximation Of Stationary Statistical Properties Of Dissipative Dynamical Systems: Time Discretization,
2010
Missouri University of Science and Technology
Approximation Of Stationary Statistical Properties Of Dissipative Dynamical Systems: Time Discretization, Xiaoming Wang
Mathematics and Statistics Faculty Research & Creative Works
We consider temporal approximation of stationary statistical properties of dissipative infinite-dimensional dynamical systems. We demonstrate that stationary statistical properties of the time discrete approximations, i.e., numerical scheme, converge to those of the underlying continuous dissipative infinite-dimensional dynamical system under three very natural assumptions as the time step approaches zero. the three conditions that are sufficient for the convergence of the stationary statistical properties are: (1) uniform dissipativity of the scheme in the sense that the union of the global attractors for the numerical approximations is pre-compact in the phase space; (2) convergence of the solutions of the numerical scheme to …
Wild Low-Dimensional Topology And Dynamics,
2010
Brigham Young University - Provo
Wild Low-Dimensional Topology And Dynamics, Mark H. Meilstrup
Theses and Dissertations
In this dissertation we discuss various results for spaces that are wild, i.e. not locally simply connected. We first discuss periodic properties of maps from a given space to itself, similar to Sharkovskii's Theorem for interval maps. We study many non-locally connected spaces and show that some have periodic structure either identical or related to Sharkovskii's result, while others have essentially no restrictions on the periodic structure. We next consider embeddings of solenoids together with their complements in three space. We differentiate solenoid complements via both algebraic and geometric means, and show that every solenoid has an unknotted embedding …
Extended Second Welfare Theorem For Nonconvex Economies With Infinite Commodities And Public Goods,
2010
Benedict College, Columbia, SC
Extended Second Welfare Theorem For Nonconvex Economies With Infinite Commodities And Public Goods, Aychiluhim Habte, Boris S. Mordukhovich
Mathematics Research Reports
This paper is devoted to the study of nonconvex models of welfare economics with public goods and infinite-dimensional commodity spaces. Our main attention is paid to new extensions of the fundamental second welfare theorem to the models under consideration. Based on advanced tools of variational analysis and generalized differentiation, we establish appropriate approximate and exact versions of the extended second welfare theorem for Pareto, weak Pareto, and strong Pareto optimal allocations in both marginal price and decentralized price forms.
Weakly Infinite Dimensional Subsets Of RN,
2010
Boise State University
Weakly Infinite Dimensional Subsets Of RN, Liljana Babinkostova, Marion Scheepers
Mathematics Faculty Publications and Presentations
The Continuum Hypothesis implies an Erdö-Sierpiński like duality between the ideal of first category subsets of ℝℕ, and the ideal of countable dimensional subsets of ℝℕ. The algebraic sum of a Hurewicz subset - a dimension theoretic analogue of Sierpinski sets and Lusin sets - of ℝℕ with any compactly countable dimensional subset of ℝℕ has first category.
Fast Placement And Floorplanning Methods In Modern Reconfigurable Fpgas.,
2010
Indian Statistical Institute
Fast Placement And Floorplanning Methods In Modern Reconfigurable Fpgas., Pritha Baneerjee Dr.
Doctoral Theses
FPGA Field-programmable gate-arrays (FPGA) are programmable hardware platforms with pre-fabricated logic and interconnects, which are electrically programmed by the user to realize a variety of circuits frequently required in a wide range of applications. Unlike application-specific integrated-circuits (ASICs), where realization of a circuit design takes several man-hours and enormous effort, the pre-fabricated logic and interconnects can be quickly programmed according to the design specification and made functional. Thus, in contrast to the ASICs, FPGAs can be customized and reconfigured depending on the need of the user. A basic FPGA chip consists of a set of configurable logic blocks (CLB) and …
An Anticipative Stochastic Calculus Approach To Pricing In Markets Driven By Lévy Process,
2010
Louisiana State University
An Anticipative Stochastic Calculus Approach To Pricing In Markets Driven By Lévy Process, Bernt Øksendal, Agnès Sulem
Communications on Stochastic Analysis
No abstract provided.
Preface,
2010
Louisiana State University
Persistence Of Invertibility In The Wiener Space,
2010
Louisiana State University
Persistence Of Invertibility In The Wiener Space, A S Üstünel
Communications on Stochastic Analysis
No abstract provided.
The Asymptotic Dependence Behavior Of Ornstein-Uhlenbeck Semi-Stable Processes,
2010
Louisiana State University
The Asymptotic Dependence Behavior Of Ornstein-Uhlenbeck Semi-Stable Processes, Balram S Rajput
Communications on Stochastic Analysis
No abstract provided.
Set-Valued Stochastic Differential Equation In M-Type 2 Banach Space,
2010
Louisiana State University
Set-Valued Stochastic Differential Equation In M-Type 2 Banach Space, Itaru Mitoma, Yoshiaki Okazaki, Jinping Zhang
Communications on Stochastic Analysis
No abstract provided.
On The Non-Classical Infinite Divisibility Of Power Semicircle Distributions,
2010
Louisiana State University
On The Non-Classical Infinite Divisibility Of Power Semicircle Distributions, Octavio Arizmendi, Victor Pérez-Abreu
Communications on Stochastic Analysis
No abstract provided.
Stochastic Magneto-Hydrodynamic System Perturbed By General Noise,
2010
Louisiana State University
Stochastic Magneto-Hydrodynamic System Perturbed By General Noise, P Sundar
Communications on Stochastic Analysis
No abstract provided.
What Is A Gaussian State?,
2010
Louisiana State University
What Is A Gaussian State?, K R Parthasarathy
Communications on Stochastic Analysis
No abstract provided.
A Stochastic Finite Element Method For Stochastic Parabolic Equations Driven By Purely Spatial Noise,
2010
Louisiana State University
A Stochastic Finite Element Method For Stochastic Parabolic Equations Driven By Purely Spatial Noise, Chia Ying Lee, Boris Rozovskii
Communications on Stochastic Analysis
No abstract provided.
The Teaching Of Equation Solving: Approaches In Standards-Based And Traditional Curricula In The United States,
2010
University of Delaware
The Teaching Of Equation Solving: Approaches In Standards-Based And Traditional Curricula In The United States, Jinfa Cai, Bikai Nie, John Moyer
Mathematics, Statistics and Computer Science Faculty Research and Publications
This paper discusses the approaches to teaching linear equation solving that are embedded in a Standards-based mathematics curriculum (Connected Mathematics Program or CMP) and in a traditional mathematics curriculum (Glencoe Mathematics) in the United States. Overall, the CMP curriculum takes a functional approach to teaching equation solving, while Glencoe Mathematics takes a structural approach. The functional approach emphasizes the important ideas of change and variation in situations and contexts. It also emphasizes the representation of relationships between variables. The structural approach, on the other hand, requires students to work abstractly with symbols and follow procedures in a systematic way. …
An Efficient Technique For Solving Special Integral Equations,
2010
University of Guilan
An Efficient Technique For Solving Special Integral Equations, Jafar Biazar, Mostafa Eslami
Applications and Applied Mathematics: An International Journal (AAM)
In this paper, we apply a new technique for solving two-dimensional integral equations of mixed type. Comparisons are made between the homotopy perturbation method and the new technique. The results reveal that the new technique is effective and convenient.
Morphological Study Of Surface Corrosion In Carbon Steel Using Fractal Methods.,
2010
Universiti Malaya
Morphological Study Of Surface Corrosion In Carbon Steel Using Fractal Methods., Abdul Mohaimen W Fagri
Student Works (2010-2019)
Corrosion can be defined as the disintegration of a material into its constituent atoms due to chemical reactions with its surroundings. There are various chemical and physical factors that affect the rate and mechanisms of corrosion processes. In this study, we focus on the corrosion of carbon steel in mineral water at room temperature. The morphologies of corroded surface are characterized using fractal analysis. The steel plates of 10cmx10cmx0.2cm are first polished using abrasive papers of different coarseness until smooth surfaces are obtained. The samples are placed in glass dish filled with mineral water and a simple imaging procedure using …
Wavelet Transform Of Fractional Integrals For Integrable Boehmians,
2010
J. N. V. University
Wavelet Transform Of Fractional Integrals For Integrable Boehmians, Deshna Loonker, P. K. Banerji, S. L. Kalla
Applications and Applied Mathematics: An International Journal (AAM)
The present paper deals with the wavelet transform of fractional integral operator (the Riemann- Liouville operators) on Boehmian spaces. By virtue of the existing relation between the wavelet transform and the Fourier transform, we obtained integrable Boehmians defined on the Boehmian space for the wavelet transform of fractional integrals.
Convergence Of The Sinc Method Applied To Volterra Integral Equations,
2010
University of Mohaghegh Ardabili
Convergence Of The Sinc Method Applied To Volterra Integral Equations, M. Zarebnia, J. Rashidinia
Applications and Applied Mathematics: An International Journal (AAM)
A collocation procedure is developed for the linear and nonlinear Volterra integral equations, using the globally defined Sinc and auxiliary basis functions. We analytically show the exponential convergence of the Sinc collocation method for approximate solution of Volterra integral equations. Numerical examples are included to confirm applicability and justify rapid convergence of our method.
On The Characteristic Polynomial Of Regular Linear Matrix Pencil,
2010
Georgia Southern University
On The Characteristic Polynomial Of Regular Linear Matrix Pencil, Yan Wu, Phillip Lorren
Mathematical Sciences: Faculty Publications
Linear matrix pencil, denoted by (A,B), plays an important role in control systems and numerical linear algebra. The problem of finding the eigenvalues of (A,B) is often solved numerically by using the well-known QZ method. Another approach for exploring the eigenvalues of (A,B) is by way of its characteristic polynomial, P(λ)=A − λB. There are other applications of working directly with the characteristic polynomial, for instance, using Routh-Hurwitz analysis to count the stable roots of P(λ) and transfer function representation of control systems governed by differential-algebraic equations. In this paper, we …
