Open Access. Powered by Scholars. Published by Universities.®
- Discipline
-
- Mathematics (2725)
- Numerical Analysis and Computation (1473)
- Computer Sciences (1003)
- Statistics and Probability (977)
- Partial Differential Equations (900)
-
- Ordinary Differential Equations and Applied Dynamics (878)
- Engineering (813)
- Other Applied Mathematics (809)
- Physics (722)
- Life Sciences (690)
- Non-linear Dynamics (588)
- Dynamic Systems (533)
- Education (483)
- Science and Mathematics Education (414)
- Arts and Humanities (408)
- Medicine and Health Sciences (390)
- Applied Statistics (389)
- Higher Education (366)
- History (354)
- Teacher Education and Professional Development (350)
- History of Science, Technology, and Medicine (341)
- Control Theory (304)
- Analysis (301)
- Other Mathematics (279)
- Social and Behavioral Sciences (248)
- Mechanical Engineering (223)
- Fluid Dynamics (214)
- Electrical and Computer Engineering (194)
- Institution
-
- Prairie View A&M University (629)
- Selected Works (458)
- Illinois State University (366)
- Taylor University (345)
- SelectedWorks (304)
-
- University of New Mexico (260)
- University of Nebraska - Lincoln (229)
- Louisiana State University (224)
- Claremont Colleges (218)
- Old Dominion University (210)
- Virginia Commonwealth University (204)
- University of Texas at El Paso (161)
- Wright State University (157)
- Wayne State University (155)
- Air Force Institute of Technology (151)
- Technological University Dublin (142)
- University of Dayton (139)
- Western University (130)
- Western Kentucky University (121)
- Portland State University (114)
- Clemson University (109)
- Embry-Riddle Aeronautical University (106)
- Montclair State University (105)
- University of Tennessee, Knoxville (96)
- Rose-Hulman Institute of Technology (87)
- City University of New York (CUNY) (86)
- Utah State University (76)
- COBRA (73)
- University of Nevada, Las Vegas (73)
- Florida Institute of Technology (63)
- Keyword
-
- Mathematics (132)
- Stability (91)
- Differential equations (68)
- Epidemiology (55)
- Finite element method (53)
-
- Optimization (52)
- Neutrosophic logic (49)
- Modeling (44)
- Simulation (44)
- Mathematical modeling (43)
- Generalized differentiation (42)
- Solitons (42)
- Variational analysis (42)
- Machine learning (40)
- Medicine (40)
- Algorithms (39)
- Optimal control (39)
- Machine Learning (37)
- Statistics (36)
- Applied sciences (35)
- Numerical analysis (33)
- Other (33)
- Applied Mathematics and Computations (32)
- Mathematics and Statistics (30)
- Partial differential equations (29)
- Probability (29)
- Articles (Local Journals) (27)
- Bifurcation (27)
- Inverse problems (27)
- Journal articles (27)
- Publication Year
- Publication
-
- Applications and Applied Mathematics: An International Journal (AAM) (629)
- Annual Symposium on Biomathematics and Ecology Education and Research (326)
- Theses and Dissertations (242)
- LSU Doctoral Dissertations (181)
- Mathematics Faculty Publications (177)
-
- Department of Mathematics: Faculty Publications (171)
- Biology and Medicine Through Mathematics Conference (157)
- Branch Mathematics and Statistics Faculty and Staff Publications (156)
- Mathematics and Statistics Faculty Publications (132)
- Electronic Theses and Dissertations (131)
- Dissertations (122)
- Departmental Technical Reports (CS) (114)
- Doctoral Dissertations (114)
- Electronic Thesis and Dissertation Repository (109)
- Articles (105)
- Mathematics & Statistics Faculty Publications (100)
- Mathematics & Statistics ETDs (97)
- Mathematics Research Reports (93)
- Mathematics and Statistics Faculty Publications and Presentations (86)
- All HMC Faculty Publications and Research (82)
- Publications (76)
- Mathematical Sciences Technical Reports (MSTR) (71)
- All Dissertations (66)
- Masters Theses (66)
- Department of Applied Mathematics and Statistics Faculty Scholarship and Creative Works (64)
- Summer Conference on Topology and Its Applications (62)
- Tian-Xiao He (60)
- Xiao-Jun Yang (56)
- Faculty Publications (54)
- Publications and Research (52)
- Publication Type
Articles 4801 - 4830 of 7747
Full-Text Articles in Applied Mathematics
The Discrete Yang-Fourier Transforms In Fractal Space, Yang Xiao-Jun
The Discrete Yang-Fourier Transforms In Fractal Space, Yang Xiao-Jun
Xiao-Jun Yang
The Yang-Fourier transform (YFT) in fractal space is a generation of Fourier transform based on the local fractional calculus. The discrete Yang-Fourier transform (DYFT) is a specific kind of the approximation of discrete transform, used in Yang-Fourier transform in fractal space. This paper points out new standard forms of discrete Yang-Fourier transforms (DYFT) of fractal signals, and both properties and theorems are investigated in detail.
Negative Curves On Algebraic Surfaces, Thomas Bauer, Brian Harbourne, Andreas Leopold Knutsen, Alex Kuronya, Stefan Muller-Stach, Xavier Roulleau, Tomasz Szemberg
Negative Curves On Algebraic Surfaces, Thomas Bauer, Brian Harbourne, Andreas Leopold Knutsen, Alex Kuronya, Stefan Muller-Stach, Xavier Roulleau, Tomasz Szemberg
Department of Mathematics: Faculty Publications
We study curves of negative self-intersection on algebraic surfaces. In contrast to what occurs in positive characteristics, it turns out that any smooth complex projective surface X with a surjective non-isomorphic endomorphism has bounded negativity (i.e., that C2 is bounded below for prime divisors C on X). We prove the same statement for Shimura curves on Hilbert modular surfaces. As a byproduct we obtain that there exist only finitely many smooth Shimura curves on a given Hilbert modular surface. We. also show that any set of curves of bounded genus on a smooth complex projective surface must have bounded negativity
Expression Of Generalized Newton Iteration Method Via Generalized Local Fractional Taylor Series, Yang Xiao-Jun
Expression Of Generalized Newton Iteration Method Via Generalized Local Fractional Taylor Series, Yang Xiao-Jun
Xiao-Jun Yang
Local fractional derivative and integrals are revealed as one of useful tools to deal with everywhere continuous but nowhere differentiable functions in fractal areas ranging from fundamental science to engineering. In this paper, a generalized Newton iteration method derived from the generalized local fractional Taylor series with the local fractional derivatives is reviewed. Operators on real line numbers on a fractal space are induced from Cantor set to fractional set. Existence for a generalized fixed point on generalized metric spaces may take place.
The Search For An Optimal Means Of Determining The Minmax Control Parameter Using Sensitivity Analysis, John Teye Brown
The Search For An Optimal Means Of Determining The Minmax Control Parameter Using Sensitivity Analysis, John Teye Brown
Doctoral Dissertations
The use of computational methods for design and simulation of control systems allows for a cost-effective trial and error approach. In this work, we are concerned with the robust, real-time control of physical systems whose state space is infinite-dimensional. Such systems are known as Distributed Parameter Systems (DPS). A body whose state is heterogeneous is a distributed parameter. In particular, this work focuses on DPS systems that are governed by linear Partial Differential Equations, such as the heat equation. We specifically focus on the MinMax controller, which is regarded as being a very robust controller. The mathematical formulation of the …
Mathematical Modeling Of Pipeline Features For Robotic Inspection, Yang Gao
Mathematical Modeling Of Pipeline Features For Robotic Inspection, Yang Gao
Doctoral Dissertations
Underground pipeline systems play an indispensable role in transporting liquids in both developed and developing countries. The associated social and economic cost to repair a pipe upon abrupt failure is often unacceptable. Regular inspection is a preventative action that aims to monitor pipe conditions, catch abnormalities and reduce the chance of undesirable surprises. Robots with CCTV video cameras have been used for decades to inspect pipelines, yielding only qualitative information. It is becoming necessary and preferable for municipalities, project managers and engineers to also quantify the 3-D geometry of underground pipe networks. Existing robots equipped specialized hardware and software algorithms …
Near-Optimal Scheduling And Decision-Making Models For Reactive And Proactive Fault Tolerance Mechanisms, Nichamon Naksinehaboon
Near-Optimal Scheduling And Decision-Making Models For Reactive And Proactive Fault Tolerance Mechanisms, Nichamon Naksinehaboon
Doctoral Dissertations
As High Performance Computing (HPC) systems increase in size to fulfill computational power demand, the chance of failure occurrences dramatically increases, resulting in potentially large amounts of lost computing time. Fault Tolerance (FT) mechanisms aim to mitigate the impact of failure occurrences to the running applications. However, the overhead of FT mechanisms increases proportionally to the HPC systems' size. Therefore, challenges arise in handling the expensive overhead of FT mechanisms while minimizing the large amount of lost computing time due to failure occurrences.
In this dissertation, a near-optimal scheduling model is built to determine when to invoke a hybrid checkpoint …
R₀ Analysis Of A Spatiotemporal Model For A Stream Population, H. W. Mckenzie, Y. Jin, Jon T. Jacobsen, M. A. Lewis
R₀ Analysis Of A Spatiotemporal Model For A Stream Population, H. W. Mckenzie, Y. Jin, Jon T. Jacobsen, M. A. Lewis
All HMC Faculty Publications and Research
Water resources worldwide require management to meet industrial, agricultural, and urban consumption needs. Management actions change the natural flow regime, which impacts the river ecosystem. Water managers are tasked with meeting water needs while mitigating ecosystem impacts. We develop process-oriented advection-diffusion-reaction equations that couple hydraulic flow to population growth, and we analyze them to assess the effect of water flow on population persistence. We present a new mathematical framework, based on the net reproductive rate R0 for advection-diffusion-reaction equations and on related measures. We apply the measures to population persistence in rivers under various flow regimes. This work lays …
Systems Of Nonlinear Wave Equations With Damping And Supercritical Sources, Yanqiu Guo
Systems Of Nonlinear Wave Equations With Damping And Supercritical Sources, Yanqiu Guo
Department of Mathematics: Dissertations, Theses, and Student Research
We consider the local and global well-posedness of the coupled nonlinear wave equations
utt – Δu + g1(ut) = f1(u, v)
vtt – Δv + g2(vt) = f2(u, v);
in a bounded domain Ω subset of the real numbers (Rn) with a nonlinear Robin boundary condition on u and a zero boundary conditions on v. The nonlinearities f1(u, v) and f2(u, v) are with supercritical exponents …
Principal Component Analysis In The Eigenface Technique For Facial Recognition, Kevin Huang
Principal Component Analysis In The Eigenface Technique For Facial Recognition, Kevin Huang
Senior Theses and Projects
Several facial recognition algorithms have been explored in the past few decades. Progress has been made towards recognition under varying lighting conditions, poses and facial expressions. In a general context, a facial recognition algorithm and its implementation can be considered as a system. The input to the facial recognition system is a two dimensional image, while the system distinguishes the input image as a user’s face from a pre-determined library of faces. Finally, the output is the discerned face image. In this project, we will examine one particular system: the Eigenface technique.
Random Number Generation: Types And Techniques, David F. Dicarlo
Random Number Generation: Types And Techniques, David F. Dicarlo
Senior Honors Theses
What does it mean to have random numbers? Without understanding where a group of numbers came from, it is impossible to know if they were randomly generated. However, common sense claims that if the process to generate these numbers is truly understood, then the numbers could not be random. Methods that are able to let their internal workings be known without sacrificing random results are what this paper sets out to describe. Beginning with a study of what it really means for something to be random, this paper dives into the topic of random number generators and summarizes the key …
Statistical Research For The Kearny Marsh, Manfred Minimair, Juliana Newman
Statistical Research For The Kearny Marsh, Manfred Minimair, Juliana Newman
Manfred Minimair
Experimental data about the biological environment of the Kearny marsh, New Jersey, USA, is studied.
Determining Angular Frequency From A Video With A Generalized Fast Fourier Transform, Lindsay N. Smith
Determining Angular Frequency From A Video With A Generalized Fast Fourier Transform, Lindsay N. Smith
Theses and Dissertations
Suppose we are given a video of a rotating object and suppose we want to determine the rate of rotation solely from the video itself and its known frame rate. In this thesis, we present a new mathematical operator called the Geometric Sum Transform (GST) that can help one determine the angular frequency of the object in question. The GST is a generalization of the discrete Fourier transform (DFT) and as such, the two transforms have much in common. However, whereas the DFT is applied to a sequence of scalars, the GST can be applied to a sequence of vectors. …
Laser Plasma Acceleration With A Negatively Chirped Pulse: All-Optical Control Over Dark Current In The Blowout Regime, Serguei Y. Kalmykov, Arnaud Beck, Xavier Davoine, Erik Lefebvre, Bradley A. Shadwick
Laser Plasma Acceleration With A Negatively Chirped Pulse: All-Optical Control Over Dark Current In The Blowout Regime, Serguei Y. Kalmykov, Arnaud Beck, Xavier Davoine, Erik Lefebvre, Bradley A. Shadwick
Serge Youri Kalmykov
Recent experiments with 100 terawatt-class, sub-50 femtosecond laser pulses show that electrons self-injected into a laser-driven electron density bubble can be accelerated above 0.5 gigaelectronvolt energy in a sub-centimetre length rarefied plasma. To reach this energy range, electrons must ultimately outrun the bubble and exit the accelerating phase; this, however, does not ensure high beam quality. Wake excitation increases the laser pulse bandwidth by red-shifting its head, keeping the tail unshifted. Anomalous group velocity dispersion of radiation in plasma slows down the red-shifted head, compressing the pulse into a few-cycle-long piston of relativistic intensity. Pulse transformation into a piston causes …
Preconditioning Strategy To Solve Fuzzy Linear Systems (Fls), Sa Edalatpanah
Preconditioning Strategy To Solve Fuzzy Linear Systems (Fls), Sa Edalatpanah
SA Edalatpanah
In this article, the preconditioning methods are used for fuzzy linear systems and especially some new preconditioners are introduced. Moreover, the preconditioned iterative methods are studied from the point of view of rate of convergence and the convergence properties of the proposed methods have been analyzed and compared with the classical methods. Finally, the methods are tested by numerical example that shows a good improvement on the convergence speed.
The Zero-Mass Renormalization Group Differential Equations And Limit Cycles In Non-Smooth Initial Value Problems, Yang Xiaojun
The Zero-Mass Renormalization Group Differential Equations And Limit Cycles In Non-Smooth Initial Value Problems, Yang Xiaojun
Xiao-Jun Yang
In the present paper, using the equation transform in fractal space, we point out the zero-mass renormalization group equations. Under limit cycles in the non-smooth initial value, we devote to the analytical technique of the local fractional Fourier series for treating zero-mass renormalization group equations, and investigate local fractional Fourier series solutions.
On The Order Statistics Of Standard Normal-Based Power Method Distributions, Todd C. Headrick, Mohan D. Pant
On The Order Statistics Of Standard Normal-Based Power Method Distributions, Todd C. Headrick, Mohan D. Pant
Mohan Dev Pant
This paper derives a procedure for determining the expectations of order statistics associated with the standard normal distribution (Z) and its powers of order three and five (Z^3 and Z^5). The procedure is demonstrated for sample sizes of n ≤ 9. It is shown that Z^3 and Z^5 have expectations of order statistics that are functions of the expectations for Z and can be expressed in terms of explicit elementary functions for sample sizes of n ≤ 5. For sample sizes of n = 6, 7 the expectations of the order statistics for Z, Z^3, and Z^5 only require a …
Preconditioning Visco-Resistive Mhd For Tokamak Plasmas, Daniel R. Reynolds, Ravi Samtaney, Hilari C. Tiedeman
Preconditioning Visco-Resistive Mhd For Tokamak Plasmas, Daniel R. Reynolds, Ravi Samtaney, Hilari C. Tiedeman
Mathematics Research
No abstract provided.
Some Approaches For Using Stationary Iterative Methods To Linear Equations Generated From The Boundary Element Method, Hs Najafi, Sa Edalatpanah, B Parsa Moghaddam
Some Approaches For Using Stationary Iterative Methods To Linear Equations Generated From The Boundary Element Method, Hs Najafi, Sa Edalatpanah, B Parsa Moghaddam
SA Edalatpanah
For linear equations, there are numerous stationary iterative methods. However, these methods are not applicable in some important problems such as linear system arising from the boundary element method (BEM). In this paper, we proposed two approaches for using stationary iterative methods to linear equations arising from the BEM for the Laplace and convective diffusion with first-order chemical reaction problems. Our proposed methods are simple and graceful. Finally, numerical example is given to show the efficiency of our results.
A Kind Of Symmetrical Iterative Methods To Solve Special Class Of Lcp (M, Q), Sa Edalatpanah, Hs Najafi
A Kind Of Symmetrical Iterative Methods To Solve Special Class Of Lcp (M, Q), Sa Edalatpanah, Hs Najafi
SA Edalatpanah
No abstract provided.
Nash Equilibrium Solution Of Fuzzy Matrix Game Solution Of Fuzzy Bimatrix Game, Sa Edalatpanah, Hs Najafi
Nash Equilibrium Solution Of Fuzzy Matrix Game Solution Of Fuzzy Bimatrix Game, Sa Edalatpanah, Hs Najafi
SA Edalatpanah
In this paper, we propose a method for finding Nash equilibrium of fuzzy games. This method is based on ranking function of fuzzy linear programming which simplifies the solving process of fuzzy Nash equilibrium. Numerical results show that the proposed method is competitive to the state-of-the-art algorithms.
A New Two-Phase Method For The Fuzzy Primal Simplex Algorithm, Sa Edalatpanah, S Shahabi
A New Two-Phase Method For The Fuzzy Primal Simplex Algorithm, Sa Edalatpanah, S Shahabi
SA Edalatpanah
Recently, Nasseri et al., [1, 2] proposed fuzzy two-phase method involving fuzzy artificial variables and fuzzy big-M method to obtain an initial fuzzy basic feasible solution to solve the linear programming with fuzzy variables (FVLP) problems. In this paper, we propose a new two-phase method for solving fuzzy linear programming. Our method needs not any artificial variables and has an advantage of the simple implementation. Furthermore this method is more effective and faster than above methods.
New Model For Preconditioning Techniques With Application To The Boundary Value Problems, Sa Edalatpanah, Hs Najafi
New Model For Preconditioning Techniques With Application To The Boundary Value Problems, Sa Edalatpanah, Hs Najafi
SA Edalatpanah
No abstract provided.
A Novel Approach To Processing Fractal Dynamical Systems Using The Yang-Fourier Transforms, Yang Xiaojun
A Novel Approach To Processing Fractal Dynamical Systems Using The Yang-Fourier Transforms, Yang Xiaojun
Xiao-Jun Yang
In the present paper, local fractional continuous non-differentiable functions in fractal space are investigated, and the control method for processing dynamic systems in fractal space are proposed using the Yang-Fourier transform based on the local fractional calculus. Two illustrative paradigms for control problems in fractal space are given to elaborate the accuracy and reliable results.
On Soliton Interactions For A Hierarchy Of Generalized Heisenberg Ferromagnetic Models On Su(3)/S(U(1) $\Times$ U(2)) Symmetric Space, Vladimir Gerdjikov, Georgi Grahovski, Alexander Mikhailov, Tihomir Valchev
On Soliton Interactions For A Hierarchy Of Generalized Heisenberg Ferromagnetic Models On Su(3)/S(U(1) $\Times$ U(2)) Symmetric Space, Vladimir Gerdjikov, Georgi Grahovski, Alexander Mikhailov, Tihomir Valchev
Articles
We consider an integrable hierarchy of nonlinear evolution equations (NLEE) related to linear bundle Lax operator L. The Lax representation is Z2 \times Z2 reduced and is naturally associated with the symmetric space SU(3)/S(U(1) \times U(2)). The simplest nontrivial equation in the hierarchy is a generalization of Heisenberg ferromagnetic model. We construct the N-soliton solutions for an arbitrary member of the hierarchy by using the Zakharov-Shabat dressing method with an appropriately chosen dressing factor. Two types of soliton solutions: quadruplet and doublet solitons are found. The one-soliton solutions of NLEEs with even and odd dispersion laws have different properties. In …
Exact Lambda-Numbers Of Generalized Petersen Graphs Of Certain Higher-Orders And On Mobius Strips, Sarah Spence Adams, Paul Booth, Harold Jaffe, Denise Troxell, Luke Zinnen
Exact Lambda-Numbers Of Generalized Petersen Graphs Of Certain Higher-Orders And On Mobius Strips, Sarah Spence Adams, Paul Booth, Harold Jaffe, Denise Troxell, Luke Zinnen
Sarah Spence Adams
An L(2,1)-labeling of a graph G is an assignment f of nonnegative integers to the vertices of G such that if vertices x and y are adjacent, |f(x)−f(y)|≥2, and if x and y are at distance two, |f(x)−f(y)|≥1. The λ-number of Gis the minimum span over all L(2,1)-labelings of G. A generalized Petersen graph (GPG) of order n consists of two disjoint copies of cycles on n vertices together with a perfect matching between the two vertex sets. By …
A Doubling Method For The Generalized Lambda Distribution, Todd C. Headrick, Mohan D. Pant
A Doubling Method For The Generalized Lambda Distribution, Todd C. Headrick, Mohan D. Pant
Mohan Dev Pant
This paper introduces a new family of generalized lambda distributions (GLDs) based on a method of doubling symmetric GLDs. The focus of the development is in the context of L-moments and L-correlation theory. As such, included is the development of a procedure for specifying double GLDs with controlled degrees of L-skew, L-kurtosis, and L-correlations. The procedure can be applied in a variety of settings such as modeling events and Monte Carlo or simulation studies. Further, it is demonstrated that estimates of L-skew, L-kurtosis, and L-correlation are substantially superior to conventional product-moment estimates of skew, kurtosis, and Pearson correlation in terms …
Effects Of Stochastic Freshwater Flux On The Atlantic Thermohaline Circulation, Alyssa Pampell, Alejandra Aceves
Effects Of Stochastic Freshwater Flux On The Atlantic Thermohaline Circulation, Alyssa Pampell, Alejandra Aceves
Mathematics Research
No abstract provided.
Heterogeneous Multiscale Modeling Of Advection-Diffusion Problems, David J. Gardner, Daniel R. Reynolds
Heterogeneous Multiscale Modeling Of Advection-Diffusion Problems, David J. Gardner, Daniel R. Reynolds
Mathematics Research
No abstract provided.
Numerical Solution Of Integral Equations In Solidification And Laser Melting, Elizabeth Case, Johannes Tausch
Numerical Solution Of Integral Equations In Solidification And Laser Melting, Elizabeth Case, Johannes Tausch
Mathematics Research
No abstract provided.
Multilevel Schur Complement Preconditioner For Multi-Physics Simulations, Hilari Tiedeman, Daniel Reynolds
Multilevel Schur Complement Preconditioner For Multi-Physics Simulations, Hilari Tiedeman, Daniel Reynolds
Mathematics Research
No abstract provided.