Open Access. Powered by Scholars. Published by Universities.®
Physical Sciences and Mathematics Commons™
Open Access. Powered by Scholars. Published by Universities.®
- Institution
-
- Prairie View A&M University (639)
- Selected Works (458)
- Illinois State University (371)
- Taylor University (345)
- SelectedWorks (304)
-
- University of New Mexico (284)
- University of Nebraska - Lincoln (233)
- Virginia Commonwealth University (230)
- Claremont Colleges (226)
- Louisiana State University (225)
- Old Dominion University (220)
- Air Force Institute of Technology (167)
- University of Texas at El Paso (161)
- Wright State University (157)
- Wayne State University (156)
- University of Dayton (144)
- Technological University Dublin (143)
- Western University (134)
- Western Kentucky University (121)
- Portland State University (116)
- Clemson University (114)
- Embry-Riddle Aeronautical University (107)
- University of Tennessee, Knoxville (106)
- Montclair State University (105)
- Association of Arab Universities (104)
- Rose-Hulman Institute of Technology (90)
- City University of New York (CUNY) (86)
- Utah State University (76)
- COBRA (73)
- University of Nevada, Las Vegas (72)
- Keyword
-
- Mathematics (135)
- Stability (95)
- Differential equations (70)
- Epidemiology (61)
- Optimization (58)
-
- Finite element method (55)
- Machine learning (51)
- Neutrosophic logic (49)
- Mathematical modeling (47)
- Simulation (47)
- Modeling (45)
- Medicine (43)
- Generalized differentiation (42)
- Variational analysis (42)
- Machine Learning (40)
- Optimal control (38)
- Numerical analysis (36)
- Other (36)
- Solitons (36)
- Statistics (36)
- Algorithms (35)
- Applied sciences (35)
- Applied Mathematics and Computations (33)
- Mathematics and Statistics (30)
- Partial differential equations (30)
- Probability (30)
- COVID-19 (29)
- Ecology (28)
- Graph theory (28)
- Inverse problems (28)
- Publication Year
- Publication
-
- Applications and Applied Mathematics: An International Journal (AAM) (639)
- Annual Symposium on Biomathematics and Ecology Education and Research (329)
- Theses and Dissertations (276)
- Mathematics Faculty Publications (184)
- LSU Doctoral Dissertations (182)
-
- Biology and Medicine Through Mathematics Conference (177)
- Branch Mathematics and Statistics Faculty and Staff Publications (177)
- Department of Mathematics: Faculty Publications (171)
- Electronic Theses and Dissertations (139)
- Mathematics and Statistics Faculty Publications (132)
- Dissertations (122)
- Departmental Technical Reports (CS) (114)
- Electronic Thesis and Dissertation Repository (113)
- Articles (106)
- Mathematics & Statistics Faculty Publications (105)
- Doctoral Dissertations (103)
- Mathematics & Statistics ETDs (100)
- Mathematics Research Reports (93)
- Mathematics and Statistics Faculty Publications and Presentations (86)
- All HMC Faculty Publications and Research (82)
- Journal of Engineering Research (79)
- Publications (76)
- All Dissertations (71)
- Mathematical Sciences Technical Reports (MSTR) (71)
- 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)
- Faculty Publications (56)
- Xiao-Jun Yang (56)
- Publication Type
Articles 2161 - 2190 of 7997
Full-Text Articles in Physical Sciences and Mathematics
How We Can Explain Simple Empirical Memory Rules, Francisco Zapata, Olga Kosheleva, Vladik Kreinovich
How We Can Explain Simple Empirical Memory Rules, Francisco Zapata, Olga Kosheleva, Vladik Kreinovich
Departmental Technical Reports (CS)
Researchers have found out that normally, we remember about 30% of the information; however, if immediately after reading, we get a test, the rate increases to 45%. In this paper, we show that Zipf law can explain this empirical dependence.
Why Derivative: Invariance-Based Explanation, Julio Urenda, Olga Kosheleva, Vladik Kreinovich
Why Derivative: Invariance-Based Explanation, Julio Urenda, Olga Kosheleva, Vladik Kreinovich
Departmental Technical Reports (CS)
To many students, the notion of a derivative seems unrelated to any previous mathematics -- and is, thus, difficult to study and to understand. In this paper, we show that this notion can be naturally derived from a more intuitive notion of invariance.
How To Gauge A Combination Of Uncertainties Of Different Type: General Foundations, Ingo Neumann, Vladik Kreinovich, Thach N. Nguyen
How To Gauge A Combination Of Uncertainties Of Different Type: General Foundations, Ingo Neumann, Vladik Kreinovich, Thach N. Nguyen
Departmental Technical Reports (CS)
In many practical situations, for some components of the uncertainty (e.g., of the measurement error) we know the corresponding probability distribution, while for other components, we know only upper bound on the corresponding values. To decide which of the algorithms or techniques leads to less uncertainty, we need to be able to gauge the combined uncertainty by a single numerical value -- so that we can select the algorithm for which this values is the best. There exist several techniques for gauging the combination of interval and probabilistic uncertainty. In this paper, we consider the problem of gauging the combination …
Why Lasso, En, And Clot: Invariance-Based Explanation, Hamza Alkhatib, Ingo Neumann, Vladik Kreinovich, Chon Van Le
Why Lasso, En, And Clot: Invariance-Based Explanation, Hamza Alkhatib, Ingo Neumann, Vladik Kreinovich, Chon Van Le
Departmental Technical Reports (CS)
In many practical situations, observations and measurement results are consistent with many different models -- i.e., the corresponding problem is ill-posed. In such situations, a reasonable idea is to take into account that the values of the corresponding parameters should not be too large; this idea is known as regularization. Several different regularization techniques have been proposed; empirically the most successful are LASSO method, when we bound the sum of absolute values of the parameters, and EN and CLOT methods in which this sum is combined with the sum of the squares. In this paper, we explain the empirical success …
Dunning-Kruger Effect: A Simple System-Based Explanation, Griselda Acosta, Eric Smith
Dunning-Kruger Effect: A Simple System-Based Explanation, Griselda Acosta, Eric Smith
Departmental Technical Reports (CS)
In their 1999 paper, psychologists David Dunning and Justin Kruger showed that, in general, experts not only provide better estimates of different situations, but they also provide a better estimates of the accuracy of their estimates. Which this phenomenon has been confirmed by many follow-up experiments, it remains largely unexplained. In this paper, we provide a simple system-based qualitative explanation for the Dunning-Kruger effect.
Why Matrix Factorization Works Well In Recommender Systems: A Systems-Based Explanation, Griselda Acosta, Manuel Hernandez, Natalia Villanueva-Rosales, Eric Smith, Vladik Kreinovich
Why Matrix Factorization Works Well In Recommender Systems: A Systems-Based Explanation, Griselda Acosta, Manuel Hernandez, Natalia Villanueva-Rosales, Eric Smith, Vladik Kreinovich
Departmental Technical Reports (CS)
Many computer-based services use recommender systems that predict our preferences based on our degree of satisfaction with the past selections. One of the most efficient techniques making recommender systems successful is matrix factorization. While this technique works well, until now, there was no general explanation of why it works. In this paper, we provide such an explanation.
Runge–Kutta–Gegenbauer Explicit Methods For Advection-Diffusion Problems, Stephen O'Sullivan
Runge–Kutta–Gegenbauer Explicit Methods For Advection-Diffusion Problems, Stephen O'Sullivan
Articles
In this paper, Runge-Kutta-Gegenbauer (RKG) stability polynomials of arbitrarily high order of accuracy are introduced in closed form. The stability domain of RKG polynomials extends in the the real direction with the square of polynomial degree, and in the imaginary direction as an increasing function of Gegenbauer parameter. Consequently, the polynomials are naturally suited to the construction of high order stabilized Runge-Kutta (SRK) explicit methods for systems of PDEs of mixed hyperbolic-parabolic type.
We present SRK methods composed of L ordered forward Euler stages, with complex-valued stepsizes derived from the roots of RKG stability polynomials of degree $L$. Internal stability …
Meshless Modeling Of Flow Dispersion And Progressive Piping In Poroelastic Levees, Anthony Khoury, Eduardo Divo, Alain J. Kassab, Sai Kakuturu, Lakshmi Reddi
Meshless Modeling Of Flow Dispersion And Progressive Piping In Poroelastic Levees, Anthony Khoury, Eduardo Divo, Alain J. Kassab, Sai Kakuturu, Lakshmi Reddi
Publications
Performance data on earth dams and levees continue to indicate that piping is one of the major causes of failure. Current criteria for prevention of piping in earth dams and levees have remained largely empirical. This paper aims at developing a mechanistic understanding of the conditions necessary to prevent piping and to enhance the likelihood of self-healing of cracks in levees subjected to hydrodynamic loading from astronomical and meteorological (including hurricane storm surge-induced) forces. Systematic experimental investigations are performed to evaluate erosion in finite-length cracks as a result of transient hydrodynamic loading. Here, a novel application of the localized collocation …
A “Rule-Of-Five” Framework For Models And Modeling To Unify Mathematicians And Biologists And Improve Student Learning, C. Diaz Eaton, H. C. Highlander, K. D. Dahlquist, G. Ledder, M.D. Lamar, R.C. Schugart
A “Rule-Of-Five” Framework For Models And Modeling To Unify Mathematicians And Biologists And Improve Student Learning, C. Diaz Eaton, H. C. Highlander, K. D. Dahlquist, G. Ledder, M.D. Lamar, R.C. Schugart
Department of Mathematics: Faculty Publications
Despite widespread calls for the incorporation of mathematical modeling into the undergraduate biology curriculum, there is lack of a common understanding around the definition of modeling, which inhibits progress. In this paper, we extend the “Rule-of-Four,” initially used in calculus reform efforts, to a “Rule-of-Five” framework for models and modeling that is inclusive of varying disciplinary definitions of each. This unifying framework allows us to both build on strengths that each discipline and its students bring, but also identify gaps in modeling activities practiced by each discipline. We also discuss benefits to student learning and interdisciplinary collaboration.
Design Of Metamaterials For Optics, Abiti Adili
Design Of Metamaterials For Optics, Abiti Adili
LSU Doctoral Dissertations
First part of this dissertation studies the problem of designing metamaterial crystals with double negative effective properties for applications in optics by investigating the conditions necessary for generating novel dispersion properties in a metamaterial crystal with subwavelength microstructure. This provides novel optical properties created through local resonances tied to the geometry of the media in subwavelength regime.
In the second part, this dissertation studies the representation formula used to describe band structures in photonic crystals with plasmonic inclusions. By using layer potential techniques, a magnetic dipole operator describing the tangential component of the electrical field generated by magnetic distribution is …
Navigating Around Convex Sets, J. J. P. Veerman
Navigating Around Convex Sets, J. J. P. Veerman
Mathematics and Statistics Faculty Publications and Presentations
We review some basic results of convex analysis and geometry in Rn in the context of formulating a differential equation to track the distance between an observer flying outside a convex set K and K itself.
Sarymsakov Cubic Stochastic Matrices, Mansoor Saburov, Khikmat Saburov
Sarymsakov Cubic Stochastic Matrices, Mansoor Saburov, Khikmat Saburov
Bulletin of National University of Uzbekistan: Mathematics and Natural Sciences
The class of Sarymsakov square stochastic matrices is the largest subset of the set of stochastic, indecomposable, aperiodic (SIA) matrices that is closed under matrix multiplication and any infinitely long left-product of the elements from any of its compact subsets converges to a rank-one (stable) matrix. In this paper, we introduce a new class of the so-called Sarymsakov cubic stochastic matrices and study the consensus problem in the multi-agent system in which an opinion sharing dynamics is presented by quadratic stochastic operators associated with Sarymsakov cubic stochastic matrices.
Maximizing And Modeling Malonyl-Coa Production In Escherichia Coli, Tatiana Thompson Silveira Mello
Maximizing And Modeling Malonyl-Coa Production In Escherichia Coli, Tatiana Thompson Silveira Mello
LSU Master's Theses
In E. coli, fatty acid synthesis is catalyzed by the enzyme acetyl-CoA carboxylase (ACC), which converts acetyl-CoA into malonyl-CoA. Malonyl-CoA is a major building block for numerous of bioproducts. Multiple parameters regulate the homeostatic cellular concentration of malonyl-CoA, keeping it at a very low level. Understanding how these parameters affect the bacterial production of malonyl-CoA is fundamental to maximizing it and its bioproducts. To this end, competing pathways consuming malonyl-CoA can be eliminated, and optimal nutritional and environmental conditions can be provided to the fermentation broth. Most previous studies utilized genetic modifications, expensive consumables, and high-cost quantification methods, making …
Boundary Value Problem For Nonhomogeneous Mixed-Type Equation With Two Degenerate Lines, K.S. Fayazov, Y. K. Khudayberganov
Boundary Value Problem For Nonhomogeneous Mixed-Type Equation With Two Degenerate Lines, K.S. Fayazov, Y. K. Khudayberganov
Acta of Turin Polytechnic University in Tashkent
In this work, we study boundary value problem for nonhomogeneous mixed-type equation with two degenerate lines. A priori estimate for the solution of the problem is obtained, theorems of uniqueness and conditional stability in the set of correctness are proved. The approximate solution by the regularization method has been constructed.
Introduction To Synchro-Chimera State, Aziza Yusupova
Introduction To Synchro-Chimera State, Aziza Yusupova
Acta of Turin Polytechnic University in Tashkent
In this work we find a new chimera state in smallest chimera region, the synchronization and chimera phenomena can be alternatively occurred over time intervals.
Numerical Solution Of 3rd Order Ode Using Fdm: On A Moving Surface In Mhd Flow Of Sisko Fluid, Manisha Patel, Jayshri Patel, M. G. Timol
Numerical Solution Of 3rd Order Ode Using Fdm: On A Moving Surface In Mhd Flow Of Sisko Fluid, Manisha Patel, Jayshri Patel, M. G. Timol
Applications and Applied Mathematics: An International Journal (AAM)
A Similarity group theoretical technique is used to transform the governing nonlinear partial differential equations of two dimensional MHD boundary layer flow of Sisko fluid into nonlinear ordinary differential equations. Then the resulting third order nonlinear ordinary differential equation with corresponding boundary conditions is linearised by Quasi linearization method. Numerical solution of the linearised third order ODE is obtained using Finite Difference method (FDM). Graphical presentation of the solution is given.
Two Dimensional Mathematical Study Of Flow Dynamics Through Emphysemic Lung, Jyoti Kori, Pratibha _
Two Dimensional Mathematical Study Of Flow Dynamics Through Emphysemic Lung, Jyoti Kori, Pratibha _
Applications and Applied Mathematics: An International Journal (AAM)
There are various lung diseases, such as chronic obstructive pulmonary disease, asthma, fibrosis, emphysema etc., occurred due to deposition of different shape and size particles. Among them we focused on flow dynamics of viscous air through an emphysemic lung. We considered lung as a porous medium and porosity is a function of tidal volume. Two dimensional generalized equation of momentum is used to study the flow of air and equation of motion is used to study the flow of nanoparticles of elongated shape. Darcy term for flow in porous media and shape factor for nonspherical nanoparticles are used in mathematical …
Intuitive Idea Of Implication Vs. Formal Definition: How To Define The Corresponding Degree, Olga Kosheleva, Vladik Kreinovich
Intuitive Idea Of Implication Vs. Formal Definition: How To Define The Corresponding Degree, Olga Kosheleva, Vladik Kreinovich
Departmental Technical Reports (CS)
Formal implication does not capture the intuitive idea of "if A then B", since in formal implication, every two true statements -- even completely unrelated ones -- imply each other. A more adequate description of intuitive implication happens if we consider how much the use of A can shorten a derivation of B. At first glance, it may seem that the number of bits by which we shorten this derivation is a reasonable degree of implication, but we show that this number is not in good accordance with our intuition, and that a natural formalization of this intuition leads to …
Nonlinear Mechanical Properties Of Road Pavements: Geometric Symmetries Explain The Empirical Difference Between Roads Built On Clay Vs. Granular Soils, Afshin Gholamy, Vladik Kreinovich
Nonlinear Mechanical Properties Of Road Pavements: Geometric Symmetries Explain The Empirical Difference Between Roads Built On Clay Vs. Granular Soils, Afshin Gholamy, Vladik Kreinovich
Departmental Technical Reports (CS)
It is empirically known that roads built on clay soils have different nonlinear mechanical properties than roads built on granular soils (such as gravel or sand). In this paper, we show that this difficult-to-explain empirical fact can be naturally explained if we analyze the corresponding geometric symmetries.
Maximum Entropy Approach To Portfolio Optimization: Economic Justification Of An Intuitive Diversity Idea, Laxman Bokati, Vladik Kreinovich
Maximum Entropy Approach To Portfolio Optimization: Economic Justification Of An Intuitive Diversity Idea, Laxman Bokati, Vladik Kreinovich
Departmental Technical Reports (CS)
The traditional Markowitz approach to portfolio optimization assumes that we know the means, variances, and covariances of the return rates of all the financial instruments. In some practical situations, however, we do not have enough information to determine the variances and covariances, we only know the means. To provide a reasonable portfolio allocation for such cases, researchers proposed a heuristic maximum entropy approach. In this paper, we provide an economic justification for this heuristic idea.
Closing Banquet Eulogies, Russell Howell, C. Ray Rosentrater
Closing Banquet Eulogies, Russell Howell, C. Ray Rosentrater
ACMS Conference Proceedings 2019
A tribute to David Lay; A tribute to John Roe
Qualitative Analysis Of A Modified Leslie-Gower Predator-Prey Model With Weak Allee Effect Ii, Manoj K. Singh, B. S. Bhadauria
Qualitative Analysis Of A Modified Leslie-Gower Predator-Prey Model With Weak Allee Effect Ii, Manoj K. Singh, B. S. Bhadauria
Applications and Applied Mathematics: An International Journal (AAM)
The article aims to study a modified Leslie-Gower predator-prey model with Allee effect II, affecting the functional response with the assumption that the extent to which the environment provides protection to both predator and prey is the same. The model has been studied analytically as well as numerically, including stability and bifurcation analysis. Compared with the predator-prey model without Allee effect, it is found that the weak Allee effect II can bring rich and complicated dynamics, such as the model undergoes to a series of bifurcations (Homoclinic, Hopf, Saddle-node and Bogdanov-Takens). The existence of Hopf bifurcation has been shown for …
Modified Gaussian Radial Basis Function Method For The Burgers Systems, Hossein Aminikhah, Mostafa Sadeghi
Modified Gaussian Radial Basis Function Method For The Burgers Systems, Hossein Aminikhah, Mostafa Sadeghi
Applications and Applied Mathematics: An International Journal (AAM)
In this paper, the systems of variable-coefficient coupled Burgers equation are solved by a free mesh method. The method is based on the collocation points with the modified Gaussian (MGA) radial basis function (RBF). Dependent parameters and independent parameters and their effect on the stability are shown. The accuracy and efficiency of the method has been checked by two examples. The results of numerical experiments are compared with analytical solutions by calculating errors infinity-norm.
Generalized Bagley-Torvik Equation And Fractional Oscillators, Mark Naber, Lucas Lymburner
Generalized Bagley-Torvik Equation And Fractional Oscillators, Mark Naber, Lucas Lymburner
Applications and Applied Mathematics: An International Journal (AAM)
In this paper the Bagley-Torvik Equation is considered with the order of the damping term allowed to range between one and two. The solution is found to be representable as a convolution of trigonometric and exponential functions with the driving force. The properties of the effective decay rate and the oscillation frequency with respect to the order of the fractional damping are also studied. It is found that the effective decay rate and oscillation frequency have a complex dependency on the order of the derivative of the damping term and exhibit properties one might expect of a thermodynamic Equation of …
Generalized Differential Transform Method For Solving Some Fractional Integro-Differential Equations, S. Shahmorad, A. A. Khajehnasiri
Generalized Differential Transform Method For Solving Some Fractional Integro-Differential Equations, S. Shahmorad, A. A. Khajehnasiri
Applications and Applied Mathematics: An International Journal (AAM)
In this paper, we use a generalized form of two-dimensional Differential Transform (2D-DT) to solve a new class of fractional integro-differential equations. We express some useful properties of the new transform as a proposition and prove a convergence theorem. Then we illustrate the method with numerical examples.
Unified Ball Convergence Of Inexact Methods For Finding Zeros With Multiplicity, Ioannis K. Argyros, Santhosh George
Unified Ball Convergence Of Inexact Methods For Finding Zeros With Multiplicity, Ioannis K. Argyros, Santhosh George
Applications and Applied Mathematics: An International Journal (AAM)
We present an extended ball convergence of inexact methods for approximating a zero of a nonlinear equation with multiplicity m; where m is a natural number. Many popular methods are special cases of the inexact method.
Comparative Analysis On Angular Flow And Mass Transfer In Haemodialysis, J. K. Misra, Pradeep K. Singh, Naseem Ahmad, Pankaj Sharma
Comparative Analysis On Angular Flow And Mass Transfer In Haemodialysis, J. K. Misra, Pradeep K. Singh, Naseem Ahmad, Pankaj Sharma
Applications and Applied Mathematics: An International Journal (AAM)
Healthy kidney cleans blood and removes unwanted materials in the form of urine. When the kidney does not work properly, dialysis is one of the best solutions. Dialysis required if unhealthy kidney does not remove enough wastes and fluid from the blood. This usually happens when only 10 - 15 % of kidney’s function left. A dialyzer is used to clean blood. In an attempt to address clinical and experimental discrepancies, compartmental theoretical models have been used. Noda et al. (1979) were among the first to introduce a theoretical model on mass transfer using countercurrent flows. Their proposed model assumes …
Associated Matrix Polynomials With The Second Kind Chebyshev Matrix Polynomials, M. S. Metwally, M. T. Mohamed, Ayman Shehata
Associated Matrix Polynomials With The Second Kind Chebyshev Matrix Polynomials, M. S. Metwally, M. T. Mohamed, Ayman Shehata
Applications and Applied Mathematics: An International Journal (AAM)
This paper deals with the study of the associated Chebyshev matrix polynomials. Associated matrix polynomials with the Chebyshev matrix polynomials are defined here. Some properties of the associated Chebyshev matrix polynomials are obtained here. Further, we prove that the associated Chebyshev matrix polynomials satisfy a matrix differential equation of the second order.
Environmental Balance Through Optimal Control On Pollutants, Nita H. Shah, Foram A. Thakkar, Moksha H. Satia
Environmental Balance Through Optimal Control On Pollutants, Nita H. Shah, Foram A. Thakkar, Moksha H. Satia
Applications and Applied Mathematics: An International Journal (AAM)
Pollution, which is a very common term has been divided as primary pollutants and secondary pollutants. Primary pollutants are those who results directly from some process whereas secondary pollutants are caused due to intermixing and reaction of primary pollutants. These pollutants result into acid rain. In this paper, a mathematical model has been developed to study the environmental impact due to acid rain. Pollutants such as primary and secondary pollutants are the causes of acid rain. Control in terms of gases emitted by factories, smog, burning of coal and fossil fuels have been applied on primary pollutants, secondary pollutants and …
A New Successive Linearization Approach For Solving Nonlinear Programming Problems, Inci Albayrak, Mustafa Sivri, Gizem Temelcan
A New Successive Linearization Approach For Solving Nonlinear Programming Problems, Inci Albayrak, Mustafa Sivri, Gizem Temelcan
Applications and Applied Mathematics: An International Journal (AAM)
In this paper, we focused on general nonlinear programming (NLP) problems having m nonlinear (or linear) algebraic inequality (or equality or mixed) constraints with a nonlinear (or linear) algebraic objective function in n variables. We proposed a new two-phase-successive linearization approach for solving NLP problems. Aim of this proposed approach is to find a solution of the NLP problem, based on optimal solution of linear programming (LP) problems, satisfying the nonlinear constraints oversensitively. This approach leads to novel methods. Numerical examples are given to illustrate the approach.