An Approximate Analytical Solution Of The Fractional Diffusion Equation With External Force And Different Type Of Absorbent Term - Revisited,
2010
Banaras Hindu University
An Approximate Analytical Solution Of The Fractional Diffusion Equation With External Force And Different Type Of Absorbent Term - Revisited, S. Das, R. Kumar, P. K. Gupta
Applications and Applied Mathematics: An International Journal (AAM)
In this article Homotopy Perturbation Method (HPM) is applied to obtain an approximate analytical solution of a fractional diffusion equation with an external force and a reaction term different from the reaction term used by Das and Gupta (2010). The anomalous behavior of diffusivity in presence or absence of linear external force due to the presence of this force of reaction term are obtained and presented graphically.
Agnostic Science. Towards A Philosophy Of Data Analysis,
2010
George Mason University
Agnostic Science. Towards A Philosophy Of Data Analysis, Domenico Napoletani, Marco Panza, Daniele C. Struppa
MPP Published Research
In this paper we will offer a few examples to illustrate the orientation of contemporary research in data analysis and we will investigate the corresponding role of mathematics. We argue that the modus operandi of data analysis is implicitly based on the belief that if we have collected enough and sufficiently diverse data, we will be able to answer most relevant questions concerning the phenomenon itself. This is a methodological paradigm strongly related, but not limited to, biology, and we label it the microarray paradigm. In this new framework, mathematics provides powerful techniques and general ideas which generate new …
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.
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.
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.
Noncommutative Topology And The World’S Simplest Index Theorem,
2010
Dartmouth College
Noncommutative Topology And The World’S Simplest Index Theorem, Erik Van Erp
Dartmouth Scholarship
In this article we outline an approach to index theory on the basis of methods of noncommutative topology. We start with an explicit index theorem for second-order differential operators on 3-manifolds that are Fredholm but not elliptic. This low-brow index formula is expressed in terms of winding numbers. We then proceed to show how it is derived as a special case of an index theorem for hypoelliptic operators on contact manifolds. Finally, we discuss the noncommutative topology that is employed in the proof of this theorem. The article is intended to illustrate that noncommutative topology can be a powerful tool …
Rao's Quadratic Entropy And Some New Applications,
2010
Old Dominion University
Rao's Quadratic Entropy And Some New Applications, Yueqin Zhao
Mathematics & Statistics Theses & Dissertations
Many problems in statistical inference are formulated as testing the diversity of populations. The entropy functions measure the similarity of a distribution function to the uniform distribution and hence can be used as a measure of diversity. Rao (1982a) proposed the concept of quadratic entropy. Its concavity property makes the decomposition similar to ANOVA for categorical data feasible. In this thesis, after reviewing the properties and providing a modification to quadratic entropy, various applications of quadratic entropy are explored. First, analysis of quadratic entropy with the suggested modification to analyze the contingency table data is explored. Then its application to …
Preface,
2010
Louisiana State University
On The Existence Of Weak Variational Solutions To Stochastic Differential Equations,
2010
Louisiana State University
On The Existence Of Weak Variational Solutions To Stochastic Differential Equations, L Gawarecki, V Mandrekar
Communications on Stochastic Analysis
No abstract provided.
Some Solvable Classes Of Filtering Problem With Ornstein-Uhlenbeck Noise,
2010
Louisiana State University
Some Solvable Classes Of Filtering Problem With Ornstein-Uhlenbeck Noise, Zhicheng Liu, Jie Xiong
Communications on Stochastic Analysis
No abstract provided.
Commutativity Properties Of Conditional Distributions And Palm Measures,
2010
Louisiana State University
Commutativity Properties Of Conditional Distributions And Palm Measures, Olav Kallenberg
Communications on Stochastic Analysis
No abstract provided.
