Approximate Analytical Solutions For Fractional Space- And Time- Partial Differential Equations Using Homotopy Analysis Method,
2010
Banaras Hindu University
Approximate Analytical Solutions For Fractional Space- And Time- Partial Differential Equations Using Homotopy Analysis Method, Subir, Das, R. Kumar, P. K. Gupta, Hossein Jafari
Applications and Applied Mathematics: An International Journal (AAM)
This article presents the approximate analytical solutions of first order linear partial differential equations (PDEs) with fractional time- and space- derivatives. With the aid of initial values, the explicit solutions of the equations are solved making use of reliable algorithm like homotopy analysis method (HAM). The speed of convergence of the method is based on a rapidly convergent series with easily computable components. The fractional derivatives are described in Caputo sense. Numerical results show that the HAM is easy to implement and accurate when applied to space- time- fractional PDEs.
On The Eigenvalue And Inertia Problems For Descriptor Systems,
2010
University of Guilan
On The Eigenvalue And Inertia Problems For Descriptor Systems, Asadollah Aasaraai, Kameleh N. Pirbazari
Applications and Applied Mathematics: An International Journal (AAM)
The present study is intended to demonstrate that for a descriptor system with matrix pencil there exists a matrix such that matrix and matrix pencil have the same positive and negative eigenvalues. It is also shown that matrix can be calculated as a contour integral. On the other hand, different representations for matrix are introduced.
Consistency Properties For Growth Model Parameters Under An Infill Asymptotics Domain,
2010
Air Force Institute of Technology
Consistency Properties For Growth Model Parameters Under An Infill Asymptotics Domain, David T. Mills
Theses and Dissertations
Growth curves are used to model various processes, and are often seen in biological and agricultural studies. Underlying assumptions of many studies are that the process may be sampled forever, and that samples are statistically independent. We instead consider the case where sampling occurs in a finite domain, so that increased sampling forces samples closer together, and also assume a distance-based covariance function. We first prove that, under certain conditions, the mean parameter of a fixed-mean model cannot be estimated within a finite domain. We then numerically consider more complex growth curves, examining sample sizes, sample spacing, and quality of …
Zeons, Lattices Of Partitions, And Free Probability,
2010
Louisiana State University
Zeons, Lattices Of Partitions, And Free Probability, René Schott, G Stacey Staples
Communications on Stochastic Analysis
No abstract provided.
A Finite Element Method For Martingale-Driven Stochastic Partial Differential Equations,
2010
Louisiana State University
A Finite Element Method For Martingale-Driven Stochastic Partial Differential Equations, Andrea Barth
Communications on Stochastic Analysis
No abstract provided.
Solutions Of Semilinear Wave Equation Via Stochastic Cascades,
2010
Louisiana State University
Solutions Of Semilinear Wave Equation Via Stochastic Cascades, Yuri Bakhtin, Carl Mueller
Communications on Stochastic Analysis
No abstract provided.
Sample Properties Of Random Fields Iii: Differentiability,
2010
Louisiana State University
Sample Properties Of Random Fields Iii: Differentiability, Jürgen Potthoff
Communications on Stochastic Analysis
No abstract provided.
Upper Bounds On Rubinstein Distances On Configuration Spaces And Applications,
2010
Louisiana State University
Upper Bounds On Rubinstein Distances On Configuration Spaces And Applications, Laurent Decreusefond, Aldéric Joulin, Nicolas Savy
Communications on Stochastic Analysis
No abstract provided.
Convergence Of Particle Filtering Method For Nonlinear Estimation Of Vortex Dynamics,
2010
Louisiana State University
Convergence Of Particle Filtering Method For Nonlinear Estimation Of Vortex Dynamics, Sivaguru S Sritharan, Meng Xu
Communications on Stochastic Analysis
No abstract provided.
Covariance Identities And Mixing Of Random Transformations On The Wiener Space,
2010
Louisiana State University
Covariance Identities And Mixing Of Random Transformations On The Wiener Space, Nicolas Privault
Communications on Stochastic Analysis
No abstract provided.
The Itô Integral For A Certain Class Of Lévy Processes And Its Application To Stochastic Partial Differential Equations,
2010
Louisiana State University
The Itô Integral For A Certain Class Of Lévy Processes And Its Application To Stochastic Partial Differential Equations, Erika Hausenblas
Communications on Stochastic Analysis
No abstract provided.
Surface Measures On The Dual Space Of The Schwartz Space,
2010
Louisiana State University
Surface Measures On The Dual Space Of The Schwartz Space, S Chaari, F Cipriano, H.-H. Kuo, H Ouerdiane
Communications on Stochastic Analysis
No abstract provided.
Sufficient Conditions Of Optimality For Backward Stochastic Evolution Equations,
2010
Louisiana State University
Sufficient Conditions Of Optimality For Backward Stochastic Evolution Equations, Abdulrahman Al-Hussein
Communications on Stochastic Analysis
No abstract provided.
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.
