# Numerical Analysis and Computation Commons™

## All Articles in Numerical Analysis and Computation

863 full-text articles. Page 5 of 28.

Influence Of Preventive Measures To Eradicate The Spread Of The Zika Arbovirus, 2016 The Foxcroft School

##### Annual Symposium on Biomathematics and Ecology: Education and Research

No abstract provided.

2016 University of North Carolina at Chapel Hill

#### How Steep Is Steep? Learning Curves In Training Undergraduates To Do Fluid-Structure Interaction Modeling, Nicholas A. Battista

##### Annual Symposium on Biomathematics and Ecology: Education and Research

No abstract provided.

A 2-D Compartmental Model For Multi-Capillary Supply, 2016 Georgia Gwinnett College

#### A 2-D Compartmental Model For Multi-Capillary Supply, Liang Sun, Junkoo Park, Alessandra L. Barrera

##### Annual Symposium on Biomathematics and Ecology: Education and Research

No abstract provided.

#### Interdisciplinary Undergraduate Research In Biofluids, Eva M. Strawbridge

##### Annual Symposium on Biomathematics and Ecology: Education and Research

No abstract provided.

Mathematical Modeling, Analysis And Computation Of The Interaction Between Human Sub Populations And Vector-Borne Zika Transmission During The Summer 2016 Olympics, 2016 The Foxcroft School

#### Mathematical Modeling, Analysis And Computation Of The Interaction Between Human Sub Populations And Vector-Borne Zika Transmission During The Summer 2016 Olympics, Pradyuta Padmanabhan, Padmanabhan Seshaiyer

##### Annual Symposium on Biomathematics and Ecology: Education and Research

No abstract provided.

Multi-Dome Forming Of A Ti–Al–Mn Alloy, 2016 National Research University Higher School of Economics

#### Multi-Dome Forming Of A Ti–Al–Mn Alloy, Sergey Aksenov, Aleksey Kolesnikov, Ivan Zakhariev

##### The 8th International Conference on Physical and Numerical Simulation of Materials Processing

No abstract provided.

Numerical Simulation Of Residual Stress In Low-Temperature Colossal Carburized Layer On Austenitic Stainless Steel, 2016 Nanjing Tech University

#### Numerical Simulation Of Residual Stress In Low-Temperature Colossal Carburized Layer On Austenitic Stainless Steel, Dongsong Rong, Yong Jiang, Jianming Gong, Yawei Peng

##### The 8th International Conference on Physical and Numerical Simulation of Materials Processing

No abstract provided.

On Some Optimal Stopping Problems With Constraint, 2016 Wayne State University

#### On Some Optimal Stopping Problems With Constraint, J. L. Menaldi, M. Robin

##### Mathematics Faculty Research Publications

We consider the optimal stopping problem of a Markov process {xt : t ≤ 0} when the controller is allowed to stop only at the arrival times of a signal, that is, at a sequence of instants {τn : n ≤ 1} independent of {xt : t ≤ 0}. We solve in detail this problem for general Markov–Feller processes with compact state space when the interarrival times of the signal are independent identically distributed random variables. In addition, we discuss several extensions to other signals and to other cases of state spaces. These results generalize the works of several authors where {x ...

An Iterative Method To Solve A Nonlinear Matrix Equation, 2016 Hunan University, Changsha 410082, PR China

#### An Iterative Method To Solve A Nonlinear Matrix Equation, Peng Jingjing, Liao Anping, Peng Zhenyun

##### Electronic Journal of Linear Algebra

n this paper, an iterative method to solve one kind of nonlinear matrix equation is discussed. For each initial matrix with some conditions, the matrix sequences generated by the iterative method are shown to lie in a fixed open ball. The matrix sequences generated by the iterative method are shown to converge to the only solution of the nonlinear matrix equation in the fixed closed ball. In addition, the error estimate of the approximate solution in the fixed closed ball, and a numerical example to illustrate the convergence results are given.

Short Course In Matlab-Third Version.Pdf, 2016 Auckland University of Technology

#### Short Course In Matlab-Third Version.Pdf, Reza Moosavi Mohseni Dr.

##### Reza Moosavi Mohseni

No abstract provided.

Essays In Market Structure And Liquidity, 2016 The University of Western Ontario

#### Essays In Market Structure And Liquidity, Adrian J. Walton

##### Electronic Thesis and Dissertation Repository

Market structure concerns the mechanisms for negotiating trades and the composition of trading participants, and can affect liquidity and price efficiency. More gains from trade can be realized from an asset that is more liquid, and a better allocation of risk and capital can be achieved when an asset’s price is more efficient so it is important to understand market structure. This thesis uses theory and empirical methods to examine the effects of a few specific aspects of market structure.

In Chapter 1, we study a novel market structure on the New York Stock Exchange (NYSE), the Retail Liqudity ...

Breakdown Of Itcz-Like Pv Patterns, 2016 Embry-Riddle Aeronautical University - Daytona Beach

#### Breakdown Of Itcz-Like Pv Patterns, Ajay Raghavendra, Thomas A. Guinn

The Inter-Tropical Convergence Zone (ITCZ) is a zonal belt of intense convection, responsible for the genesis of over 80% of all tropical cyclones. This region of intense diabatic heating and shear results in a maximum of Ertel's potential vorticity (PV) meeting Rayleigh's necessary condition for barotropic instability. A fundamental issue is understanding the necessary precursor events leading to the breakdown of the ITCZ and subsequent formation of tropical cyclones. Our research examines the non-linear PV dynamics of the breakdown of both finite-length and infinite-length vorticity strips of varying widths and shapes, simulating the ITCZ found near the tropical ...

A Comparison Of Solution Methods For Mandelbrot-Like Polynomials, 2016 The University of Western Ontario

#### A Comparison Of Solution Methods For Mandelbrot-Like Polynomials, Eunice Y. S. Chan

##### Electronic Thesis and Dissertation Repository

We compare two different root-finding methods, eigenvalue methods and homotopy methods, using three test problems: Mandelbrot polynomials, Fibonacci-Mandelbrot polynomials, and Narayana-Mandelbrot polynomials. For the eigenvalue methods, using both MATLAB and Maple, we computed the eigenvalues of a specialized recursively-constructed, supersparse, upper Hessenberg matrix, inspired by Piers Lawrence's original construction for the Mandelbrot polynomials, for all three families of polynomials. This led us to prove that this construction works in general. Therefore, this construction is genuinely a new kind of companion matrix. For the homotopy methods, we used a special-purpose homotopy, in which we used an equivalent differential equation to ...

A Fast Model For The Simulation Of External Gear Pumps, 2016 Purdue University

#### A Fast Model For The Simulation Of External Gear Pumps, Zechao Lu, Xinran Zhao, Andrea Vacca

##### The Summer Undergraduate Research Fellowship (SURF) Symposium

External gear pump is an important category of positive displacement fluid machines used to perform the mechanical–hydraulic energy conversions in many fluid power applications. An efficient numerical simulation program is needed to simulate the system in order to provide a direction for design purpose. The model consists of a lumped parameter fluid dynamic model and a model that simulates the radial micro-motions of the gear’s axes of rotation. The system consists of a set of ordinary differential equations related to the conservation on mass of the internal control volumes of the pump, which are given by the tooth ...

Multi-Objective Optimization Under Uncertainty Using The Hyper-Volume Expected Improvement, 2016 South Carolina State University

#### Multi-Objective Optimization Under Uncertainty Using The Hyper-Volume Expected Improvement, Martin Figura, Piyush Pandita, Rohit K. Tripathy, Ilias Bilionis

##### The Summer Undergraduate Research Fellowship (SURF) Symposium

The design of real engineering systems requires the optimization of multiple quantities of interest. In the electric motor design, one wants to maximize the average torque and minimize the torque variation. A study has shown that these attributes vary for different geometries of the rotor teeth. However, simulations of a large number of designs cannot be performed due to their high cost. In many problems, design optimization of multi-objective functions is a very challenging task due to the difficulty to evaluate the expectation of the objectives. Current multi-objective optimization (MOO) techniques, e.g., evolutionary algorithms cannot solve such problems because ...

Design Optimization Of A Stochastic Multi-Objective Problem: Gaussian Process Regressions For Objective Surrogates, 2016 Universidad de Los Andes - Colombia

#### Design Optimization Of A Stochastic Multi-Objective Problem: Gaussian Process Regressions For Objective Surrogates, Juan Sebastian Martinez, Piyush Pandita, Rohit K. Tripathy, Ilias Bilionis

##### The Summer Undergraduate Research Fellowship (SURF) Symposium

Multi-objective optimization (MOO) problems arise frequently in science and engineering situations. In an optimization problem, we want to find the set of input parameters that generate the set of optimal outputs, mathematically known as the Pareto frontier (PF). Solving the MOO problem is a challenge since expensive experiments can be performed only a constrained number of times and there is a limited set of data to work with, e.g. a roll-to-roll microwave plasma chemical vapor deposition (MPCVD) reactor for manufacturing high quality graphene. State-of-the-art techniques, e.g. evolutionary algorithms; particle swarm optimization, require a large amount of observations and ...

2016 The University of Southern Mississippi

#### Krylov Subspace Spectral Method With Multigrid For A Time-Dependent, Variable-Coefficient Partial Differential Equation, Haley Renee Dozier

##### Master's Theses

Krylov Subspace Spectral (KSS) methods are traditionally used to solve time-dependent, variable-coefficient PDEs. They are high-order accurate, component-wise methods that are efficient with variable input sizes.

This thesis will demonstrate how one can make KSS methods even more efficient by using a Multigrid-like approach for low-frequency components. The essential ingredients of Multigrid, such as restriction, residual correction, and prolongation, are adapted to the timedependent case. Then a comparison of KSS, KSS with Multigrid, KSS-EPI and standard Krylov projection methods will be demonstrated.

An Algorithm For The Machine Calculation Of Minimal Paths, 2016 East Tennessee State University

#### An Algorithm For The Machine Calculation Of Minimal Paths, Robert Whitinger

##### Electronic Theses and Dissertations

Problems involving the minimization of functionals date back to antiquity. The mathematics of the calculus of variations has provided a framework for the analytical solution of a limited class of such problems. This paper describes a numerical approximation technique for obtaining machine solutions to minimal path problems. It is shown that this technique is applicable not only to the common case of finding geodesics on parameterized surfaces in R3, but also to the general case of finding minimal functionals on hypersurfaces in Rn associated with an arbitrary metric.

Numerical Computing With Functions On The Sphere And Disk, 2016 Boise State University

#### Numerical Computing With Functions On The Sphere And Disk, Heather Denise Wilber

##### Boise State University Theses and Dissertations

A new low rank approximation method for computing with functions in polar and spherical geometries is developed. By synthesizing a classic procedure known as the double Fourier sphere (DFS) method with a structure-preserving variant of Gaussian elimination, approximants to functions on the sphere and disk can be constructed that (1) preserve the bi-periodicity of the sphere, (2) are smooth over the poles of the sphere (and origin of the disk), (3) allow for the use of FFT-based algorithms, and (4) are near-optimal in their underlying discretizations. This method is used to develop a suite of fast, scalable algorithms that exploit ...

A New Error Bound For Linear Complementarity Problems For B-Matrices, 2016 Yunnan University

#### A New Error Bound For Linear Complementarity Problems For B-Matrices, Chaoqian Li, Mengting Gan, Shaorong Yang

##### Electronic Journal of Linear Algebra

A new error bound for the linear complementarity problem is given when the involved matrix is a $B$-matrix. It is shown that this bound improves the corresponding result in [M. Garc\'{i}a-Esnaola and J.M. Pe\~{n}a. Error bounds for linear complementarity problems for $B$-matrices. {\em Appl. Math. Lett.}, 22:1071--1075, 2009.] in some cases, and that it is sharper than that in [C.Q. Li and Y.T. Li. Note on error bounds for linear complementarity problems for $B$-matrices. {\em Appl. Math. Lett.}, 57:108--113, 2016.].