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Articles 241 - 270 of 417
Full-Text Articles in Applied Mathematics
Stability Of Triangular Libration Points In The Sun - Jupiter System Under Szebehely’S Criterion, M. R. Hassan, Md. A. Hassan, M. Z. Ali
Stability Of Triangular Libration Points In The Sun - Jupiter System Under Szebehely’S Criterion, M. R. Hassan, Md. A. Hassan, M. Z. Ali
Applications and Applied Mathematics: An International Journal (AAM)
In the present study, the classical fourth-order Runge-Kutta method with seventh-order automatic step-size control has been carried out to examine the stability of triangular libration points in the Sun-Jupiter system. The Sun is a highly luminous body and Jupiter is a highly spinning body, so radiation pressure of the Sun and oblateness of the Jupiter cannot be neglected. These factors must have some effects on the motion of the infinitesimal mass (spacecraft) and consequent effects on the stability of the triangular libration points. It is to be noted that in our problem, infinitesimal mass exerts no influence of attraction on …
Application Of Taylor-Pade Technique For Obtaining Approximate Solution For System Of Linear Fredholm Integro-Dierential Equations, M. M. Khader
Applications and Applied Mathematics: An International Journal (AAM)
In this article, we introduce a modification of the Taylor matrix method using Pad´e approximation to obtain an accurate solution of linear system of Fredholm integro-differential equations (FIDEs). This modification is based on, first, taking truncated Taylor series of the functions and then substituting their matrix forms into the given equations. Thereby the equation reduces to a matrix equation, which corresponds to a system of linear algebraic equations with unknown Taylor coefficients. Finally, we use Pad´e approximation to obtain an accurate numerical solution of the proposed problem. To demonstrate the validity and the applicability of the proposed method, we present …
Numerical Solution Of Fractional Elliptic Pde's By The Collocation Method, Fuat Usta
Numerical Solution Of Fractional Elliptic Pde's By The Collocation Method, Fuat Usta
Applications and Applied Mathematics: An International Journal (AAM)
In this presentation a numerical solution for the solution of fractional order of elliptic partial differential equation in R2 is proposed. In this method we use the Radial basis functions (RBFs) method to benefit the desired properties of mesh free techniques such as no need to generate any mesh and easily applied to multi dimensions. In the numerical solution approach the RBF collocation method is used to discrete fractional derivative terms with the Gaussian basis function. Two dimensional numerical examples are presented and discussed, which conform well with the corresponding exact solutions.
A Novel Approach For Solving Volterra Integral Equations Involving Local Fractional Operator, Hassan K. Jassim
A Novel Approach For Solving Volterra Integral Equations Involving Local Fractional Operator, Hassan K. Jassim
Applications and Applied Mathematics: An International Journal (AAM)
The paper presents an approximation method called local fractional variational iteration method (LFVIM) for solving the linear and nonlinear Volterra integral equations of the second kind with local fractional derivative operators. Some illustrative examples are discussed to demonstrate the efficiency and the accuracy of the proposed method. Furthermore, this method does not require spatial discretization or restrictive assumptions and therefore reduces the numerical computation significantly. The results reveal that the local fractional variational iteration method is very effective and convenient to solve linear and nonlinear integral equations within local fractional derivative operators.
Scalable And Fully Distributed Localization In Large-Scale Sensor Networks, Miao Jin, Su Xia, Hongyi Wu, Xianfeng David Gu
Scalable And Fully Distributed Localization In Large-Scale Sensor Networks, Miao Jin, Su Xia, Hongyi Wu, Xianfeng David Gu
Electrical & Computer Engineering Faculty Publications
This work proposes a novel connectivity-based localization algorithm, well suitable for large-scale sensor networks with complex shapes and a non-uniform nodal distribution. In contrast to current state-of-the-art connectivity-based localization methods, the proposed algorithm is highly scalable with linear computation and communication costs with respect to the size of the network; and fully distributed where each node only needs the information of its neighbors without cumbersome partitioning and merging process. The algorithm is theoretically guaranteed and numerically stable. Moreover, the algorithm can be readily extended to the localization of networks with a one-hop transmission range distance measurement, and the propagation of …
Revisiting Assert Use In Github Projects, Pavneet Singh Kochhar, David Lo
Revisiting Assert Use In Github Projects, Pavneet Singh Kochhar, David Lo
Research Collection School Of Computing and Information Systems
Assertions are often used to test the assumptions that developers have about a program. An assertion contains a boolean expression which developers believe to be true at a particular program point. It throws an error if the expression is not satisfied, which helps developers to detect and correct bugs. Since assertions make developer assumptions explicit, assertions are also believed to improve under-standability of code. Recently, Casalnuovo et al. analyse C and C++ programs to understand the relationship between assertion usage and defect occurrence. Their results show that asserts have a small effect on reducing the density of bugs and developers …
Fast Algorithms On Random Matrices And Structured Matrices, Liang Zhao
Fast Algorithms On Random Matrices And Structured Matrices, Liang Zhao
Dissertations, Theses, and Capstone Projects
Randomization of matrix computations has become a hot research area in the big data era. Sampling with randomly generated matrices has enabled fast algorithms to perform well for some most fundamental problems of numerical algebra with probability close to 1. The dissertation develops a set of algorithms with random and structured matrices for the following applications: 1) We prove that using random sparse and structured sampling enables rank-r approximation of the average input matrix having numerical rank r. 2) We prove that Gaussian elimination with no pivoting (GENP) is numerically safe for the average nonsingular and well-conditioned matrix preprocessed with …
Measuring The Reflection Matrix Of A Rough Surface, Kenneth W. Burgi, Michael A. Marciniak, Mark E. Oxley, Stephen E. Nauyoks
Measuring The Reflection Matrix Of A Rough Surface, Kenneth W. Burgi, Michael A. Marciniak, Mark E. Oxley, Stephen E. Nauyoks
Faculty Publications
Phase modulation methods for imaging around corners with reflectively scattered light required illumination of the occluded scene with a light source either in the scene or with direct line of sight to the scene. The RM (reflection matrix) allows control and refocusing of light after reflection, which could provide a means of illuminating an occluded scene without access or line of sight. Two optical arrangements, one focal-plane, the other an imaging system, were used to measure the RM of five different rough-surface reflectors. Intensity enhancement values of up to 24 were achieved. Surface roughness, correlation length, and slope were examined …
Conference Schedule (2017), Association Of Christians In The Mathematical Sciences
Conference Schedule (2017), Association Of Christians In The Mathematical Sciences
ACMS Conference Proceedings 2017
No abstract provided.
Table Of Contents (2017), Association Of Christians In The Mathematical Sciences
Table Of Contents (2017), Association Of Christians In The Mathematical Sciences
ACMS Conference Proceedings 2017
No abstract provided.
Association Of Christians In The Mathematical Sciences Proceedings 2017, Association Of Christians In The Mathematical Sciences
Association Of Christians In The Mathematical Sciences Proceedings 2017, Association Of Christians In The Mathematical Sciences
ACMS Conference Proceedings 2017
The conference proceedings of the Association of Christians in the Mathematical Sciences biannual conference, May 31-June 2, 2017 at Charleson Southern University.
Uncovering Functional Relationships In Leukemia, Reginald Mcgee
Uncovering Functional Relationships In Leukemia, Reginald Mcgee
Biology and Medicine Through Mathematics Conference
No abstract provided.
Modeling Hiv Dynamics Following 3bnc117 Antibody Infusion, Samantha Erwin
Modeling Hiv Dynamics Following 3bnc117 Antibody Infusion, Samantha Erwin
Biology and Medicine Through Mathematics Conference
No abstract provided.
On The Analysis Of The Sir Epidemic Model For Small Networks: An Application In Hospital Settings, Martin Lopez-Garcia
On The Analysis Of The Sir Epidemic Model For Small Networks: An Application In Hospital Settings, Martin Lopez-Garcia
Biology and Medicine Through Mathematics Conference
No abstract provided.
Balanced Excitation And Inhibition Shapes The Dynamics Of A Neuronal Network For Movement And Reward, Anca R. Radulescu
Balanced Excitation And Inhibition Shapes The Dynamics Of A Neuronal Network For Movement And Reward, Anca R. Radulescu
Biology and Medicine Through Mathematics Conference
No abstract provided.
Oscillations In Epidemic Models With Spread Of Awareness, Ying Xin
Oscillations In Epidemic Models With Spread Of Awareness, Ying Xin
Biology and Medicine Through Mathematics Conference
No abstract provided.
Analyzing Sexual Transmission In The Spread Of The Zika Virus In Colombia, Victoria M. Kelley
Analyzing Sexual Transmission In The Spread Of The Zika Virus In Colombia, Victoria M. Kelley
Biology and Medicine Through Mathematics Conference
No abstract provided.
A Single Shape From Multiple Cues: How Local And Global Information Organizes Shape Inference, Benjamin Kunsberg, Steven W. Zucker
A Single Shape From Multiple Cues: How Local And Global Information Organizes Shape Inference, Benjamin Kunsberg, Steven W. Zucker
MODVIS Workshop
No abstract provided.
High Performance Computation Of Cardiac Models In Real-Time Using Webgl, Abouzar Kaboudian, Flavio H. Fenton
High Performance Computation Of Cardiac Models In Real-Time Using Webgl, Abouzar Kaboudian, Flavio H. Fenton
Biology and Medicine Through Mathematics Conference
No abstract provided.
The Role Of E-Antigen In Hepatitiv B Virus Infection, Mirjam Sarah Kadelka
The Role Of E-Antigen In Hepatitiv B Virus Infection, Mirjam Sarah Kadelka
Biology and Medicine Through Mathematics Conference
No abstract provided.
Applying Fmri Complexity Analyses To The Single-Subject: A Case Study For Proposed Neurodiagnostics, Anca R. Radulescu, Emily R. Hannon
Applying Fmri Complexity Analyses To The Single-Subject: A Case Study For Proposed Neurodiagnostics, Anca R. Radulescu, Emily R. Hannon
Biology and Medicine Through Mathematics Conference
No abstract provided.
Noisy Neural Oscillators With Intrinsic And Network Heterogeneity, Kyle P. Wendling, Cheng Ly
Noisy Neural Oscillators With Intrinsic And Network Heterogeneity, Kyle P. Wendling, Cheng Ly
Biology and Medicine Through Mathematics Conference
No abstract provided.
A Large Reaction-Diffusion Model For Cell Polarization In Yeast, Marissa Renardy
A Large Reaction-Diffusion Model For Cell Polarization In Yeast, Marissa Renardy
Biology and Medicine Through Mathematics Conference
No abstract provided.
An Interdisciplinary Approach To Computational Neurostimulation, Madison Guitard
An Interdisciplinary Approach To Computational Neurostimulation, Madison Guitard
Biology and Medicine Through Mathematics Conference
No abstract provided.
Evolution Of Influenza H3n2: A Random Walk In High Dimensions, James R. Moore
Evolution Of Influenza H3n2: A Random Walk In High Dimensions, James R. Moore
Biology and Medicine Through Mathematics Conference
No abstract provided.
A Model For A Parameter Related To Free Virus Production From Infected Target Cells, Evan C. Haskell
A Model For A Parameter Related To Free Virus Production From Infected Target Cells, Evan C. Haskell
Biology and Medicine Through Mathematics Conference
No abstract provided.
Mathematical Modeling Of Normal And Abnormal Responses To The Valsalva Maneuver, Eric Benjamin Randall
Mathematical Modeling Of Normal And Abnormal Responses To The Valsalva Maneuver, Eric Benjamin Randall
Biology and Medicine Through Mathematics Conference
No abstract provided.
The Kinetics Of Type I Interferons During Influenza Virus Infection, Margaret A. Myers
The Kinetics Of Type I Interferons During Influenza Virus Infection, Margaret A. Myers
Biology and Medicine Through Mathematics Conference
No abstract provided.
Dynamics Of Fluorescent Imaging In Glob-Driven Breakup, Lan Zhong, Christiaan Ketelaar, Richard J. Braun, Carolyn G. Begley, Peter Ewen King-Smith
Dynamics Of Fluorescent Imaging In Glob-Driven Breakup, Lan Zhong, Christiaan Ketelaar, Richard J. Braun, Carolyn G. Begley, Peter Ewen King-Smith
Biology and Medicine Through Mathematics Conference
No abstract provided.
Control Policies And Sensitivity Analysis In A Cutaneous Leishmaniasis Model: A Case Study In Cusco Region, Peru., Rocio M. Caja-Rivera, Ignacio Barradas
Control Policies And Sensitivity Analysis In A Cutaneous Leishmaniasis Model: A Case Study In Cusco Region, Peru., Rocio M. Caja-Rivera, Ignacio Barradas
Biology and Medicine Through Mathematics Conference
No abstract provided.