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Mathematical and Computational Applications, Volume 26, Issue 1

2021 March - 24 articles

Cover Story: Optimization algorithms demand a few thousand evaluations to arrive at a reasonably good solution, often requiring a few days of computational time. For solving problems with multiple conflicting objectives, the overall effort is even more. Ten surrogate modeling methods are suggested by independent or combined objective and constraint modeling. An adaptive switching of ten methods is able to solve two to five objective constrained problems faster and more accurately than some existing methods. View this paper
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Articles (24)

  • Article
  • Open Access
1 Citations
2,439 Views
16 Pages

Climate change in Thailand is related to the El Niño and Southern Oscillation (ENSO) phenomenon, in particular drought and heavy precipitation. The data assimilation method is used to improve the accuracy of the Ensemble Intermediate Coupled Model (E...

  • Feature Paper
  • Article
  • Open Access
2 Citations
3,670 Views
32 Pages

Axial-Flux Permanent Magnet (AFPM) machines have gained popularity over the past few years due to their compact design. Their application can be found, for example, in the automotive and medical sectors. For typically considered materials, excessive...

  • Article
  • Open Access
1 Citations
2,331 Views
8 Pages

This paper deals with a non-standard implicit finite difference scheme that is defined on a quasi-uniform mesh for approximate solutions of the Magneto-Hydro Dynamics (MHD) boundary layer flow of an incompressible fluid past a flat plate for a wide r...

  • Feature Paper
  • Article
  • Open Access
3 Citations
3,547 Views
16 Pages

In this paper, a loop shaping controller design methodology for single input and a single output (SISO) system is proposed. The theoretical background for this approach is based on complex elliptic functions which allow a flexible design of a SISO co...

  • Article
  • Open Access
4 Citations
3,988 Views
25 Pages

A model for financial stress testing and stability analysis is presented. Given operational risk loss data within a time window, short-term projections are made using Loess fits to sequences of lognormal parameters. The projections can be scaled by a...

  • Article
  • Open Access
2,287 Views
17 Pages

This work is concerned with the existence and uniqueness of boundary value problems defined on semi-infinite intervals. These kinds of problems seldom admit exactly known solutions and, therefore, the theoretical information on their well-posedness i...

  • Feature Paper
  • Article
  • Open Access
7 Citations
4,205 Views
25 Pages

Data Augmentation and Feature Selection for Automatic Model Recommendation in Computational Physics

  • Thomas Daniel,
  • Fabien Casenave,
  • Nissrine Akkari and
  • David Ryckelynck

Classification algorithms have recently found applications in computational physics for the selection of numerical methods or models adapted to the environment and the state of the physical system. For such classification tasks, labeled training data...

  • Article
  • Open Access
5 Citations
3,500 Views
11 Pages

Fizzle Testing: An Equation Utilizing Random Surveillance to Help Reduce COVID-19 Risks

  • Christopher A. Cullenbine,
  • Joseph W. Rohrer,
  • Erin A. Almand,
  • J. Jordan Steel,
  • Matthew T. Davis,
  • Christopher M. Carson,
  • Steven C. M. Hasstedt,
  • John C. Sitko and
  • Douglas P. Wickert

A closed-form equation, the Fizzle Equation, was derived from a mathematical model predicting Severe Acute Respiratory Virus-2 dynamics, optimized for a 4000-student university cohort. This equation sought to determine the frequency and percentage of...

  • Article
  • Open Access
2 Citations
3,722 Views
12 Pages

It is common practice in science and engineering to approximate smooth surfaces and their geometric properties by using triangle meshes with vertices on the surface. Here, we study the approximation of the Gaussian curvature through the Gauss–Bonnet...

  • Article
  • Open Access
3 Citations
3,056 Views
10 Pages

An Epidemic Grid Model to Address the Spread of Covid-19: A Comparison between Italy, Germany and France

  • Maria Teresa Signes-Pont,
  • José Juan Cortés-Plana and
  • Higinio Mora-Mora

This paper presents a discrete compartmental Susceptible–Exposed–Infected–Recovered/Dead (SEIR/D) model to address the expansion of Covid-19. This model is based on a grid. As time passes, the status of the cells updates by means of binary rules foll...

  • Article
  • Open Access
6 Citations
2,497 Views
10 Pages

In this work, the differential evolution algorithm behavior under a fixed point arithmetic is analyzed also using half-precision floating point (FP) numbers of 16 bits, and these last numbers are known as FP16. In this paper, it is considered that it...

  • Feature Paper
  • Article
  • Open Access
3 Citations
4,052 Views
13 Pages

Market Behavior and Evolution of Wealth Distribution: A Simulation Model Based on Artificial Agents

  • Andrea Giunta,
  • Gaetano Giunta,
  • Domenico Marino and
  • Francesco Oliveri

The aim of this work is to simulate a market behavior in order to study the evolution of wealth distribution. The numerical simulations are carried out on a simple economical model with a finite number of economic agents, which are able to exchange g...

  • Article
  • Open Access
1 Citations
3,692 Views
11 Pages

In this paper, the constructions of both open and closed trigonometric Hermite interpolation curves while using the derivatives are presented. The combination of tension, continuity, and bias control is used as a very powerful type of interpolation;...

  • Article
  • Open Access
6 Citations
2,534 Views
13 Pages

This work presents a methodology to derive analytical functionals, with embedded linear constraints among the components of a vector (e.g., coordinates) that is a function a single variable (e.g., time). This work prepares the background necessary fo...

  • Article
  • Open Access
13 Citations
4,526 Views
34 Pages

Chaotic Multi-Objective Simulated Annealing and Threshold Accepting for Job Shop Scheduling Problem

  • Juan Frausto-Solis,
  • Leonor Hernández-Ramírez,
  • Guadalupe Castilla-Valdez,
  • Juan J. González-Barbosa and
  • Juan P. Sánchez-Hernández

The Job Shop Scheduling Problem (JSSP) has enormous industrial applicability. This problem refers to a set of jobs that should be processed in a specific order using a set of machines. For the single-objective optimization JSSP problem, Simulated Ann...

  • Article
  • Open Access
1 Citations
3,805 Views
22 Pages

When designing a new product, conjoint analysis is a powerful tool to estimate the perceived value of the prospects. However, it has a drawback: when the product has too many attributes and levels, it may be difficult to administrate the survey to re...

  • Feature Paper
  • Article
  • Open Access
2 Citations
2,980 Views
22 Pages

Liquid storage tanks subjected to base excitation can cause large impact forces on the tank roof, which can lead to structural damage as well as economic and environmental losses. The use of artificial intelligence in solving engineering problems is...

  • Feature Paper
  • Review
  • Open Access
37 Citations
7,627 Views
27 Pages

Most practical optimization problems are comprised of multiple conflicting objectives and constraints which involve time-consuming simulations. Construction of metamodels of objectives and constraints from a few high-fidelity solutions and a subseque...

  • Feature Paper
  • Article
  • Open Access
1 Citations
3,338 Views
17 Pages

A Continuous Model of Marital Relations with Stochastic Differential Equations

  • Benito Chen-Charpentier,
  • Clara Eugenia Garza-Hume and
  • María del Carmen Jorge

Marital relations depend on many factors which can increase the amount of satisfaction or unhappiness in the relation. A large percentage of marriages end up in divorce. While there are many studies about the causes of divorce and how to prevent it,...

  • Article
  • Open Access
2 Citations
3,455 Views
14 Pages

A mathematical model describing the interaction of cancer cells with the urokinase plasminogen activation system is represented by a system of partial differential equations, in which cancer cell dynamics accounts for diffusion, chemotaxis, and hapto...

  • Feature Paper
  • Article
  • Open Access
4 Citations
3,029 Views
21 Pages

In this paper, we introduce a novel localized collocation solver for two-dimensional (2D) phononic crystal analysis. In the proposed collocation solver, the displacement at each node is expressed as a linear combination of T-complete functions in eac...

  • Feature Paper
  • Article
  • Open Access
5 Citations
3,834 Views
27 Pages

We propose a one-dimensional Saint-Venant (open-channel) model for overland flows, including a water input–output source term modeling recharge via rainfall and infiltration (or exfiltration). We derive the model via asymptotic reduction from t...

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Math. Comput. Appl. - ISSN 2297-8747