Search Results - "Jesus Martín-Vaquero"
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ESERK Methods to Numerically Solve Nonlinear Parabolic PDEs in Complex Geometries: Using Right Triangles
Published in Frontiers in physics (09-09-2020)“…In this paper Extrapolated Stabilized Explicit Runge-Kutta methods (ESERK) are proposed to solve nonlinear partial differential equations (PDEs) in right…”
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The Use of Infrared Thermography to Develop and Assess a Wearable Sock and Monitor Foot Temperature in Diabetic Subjects
Published in Sensors (Basel, Switzerland) (05-03-2021)“…One important health problem that could affect diabetics is diabetic foot syndrome, as risk of ulceration, neuropathy, ischemia and infection. Unnoticed minor…”
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Review on Wearables to Monitor Foot Temperature in Diabetic Patients
Published in Sensors (Basel, Switzerland) (14-02-2019)“…One of the diseases that could affect diabetic patients is the diabetic foot problem. Unnoticed minor injuries and subsequent infection can lead to ischemic…”
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Existence, uniqueness and numerical solution of a fractional PDE with integral conditions
Published in Nonlinear analysis (Vilnius, Lithuania) (01-01-2019)“…This paper is devoted to the solution of one-dimensional Fractional Partial Differential Equation (FPDE) with nonlocal integral conditions. These FPDEs have…”
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Polynomial-based mean weighted residuals methods for elliptic problems with nonlocal boundary conditions in the rectangle
Published in Nonlinear analysis (Vilnius, Lithuania) (30-10-2014)“…In this paper, polynomial-based mean weighted residuals methods for the solution of elliptic problems with nonlocal boundary conditions, in rectangular…”
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Project‐based teaching in Calculus courses: Estimation of the surface and perimeter of the Iberian Peninsula
Published in Computer applications in engineering education (01-09-2018)“…We have been working, for some years, in the application of mathematics to different engineering problems with the main goal of improving our students’…”
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Mathematics and Its Applications in Science and Engineering
Published in Mathematics (Basel) (01-10-2022)“…This book contains the successful submissions [...]…”
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8
The two-level finite difference schemes for the heat equation with nonlocal initial condition
Published in Applied mathematics and computation (01-02-2019)“…•The heat equation with nonlocal initial condition is considered.•Several finite difference schemes are constructed and analyzed.•The stability of the schemes…”
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Numerical schemes for general Klein–Gordon equations with Dirichlet and nonlocal boundary conditions
Published in Nonlinear analysis (Vilnius, Lithuania) (01-01-2018)“…In this work, we address the problem of solving nonlinear general Klein–Gordon equations (nlKGEs). Different fourth- and sixth-order, stable explicit and…”
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Efficient high-order finite difference methods for nonlinear Klein–Gordon equations. I: Variants of the phi-four model and the form-I of the nonlinear Klein–Gordon equation
Published in Nonlinear analysis (Vilnius, Lithuania) (20-04-2015)“…In this paper, the problem of solving some nonlinear Klein–Gordon equations (KGEs) is considered. Here, we derive different fourth- and sixth-order explicit…”
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On the Numerical Stability of Fourier Extensions
Published in Foundations of computational mathematics (01-08-2014)“…An effective means to approximate an analytic, nonperiodic function on a bounded interval is by using a Fourier series on a larger domain. When constructed…”
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12
Modeling and transmission dynamics of Zika virus through efficient numerical method
Published in AIP advances (01-09-2023)“…Zika virus infection is a vastly transmitted disease among humans. It was carried worldwide by international travelers. In 2016, Zika virus infection was…”
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13
Analysis of Industrial Engineering Students’ Perception after a Multiple Integrals-Based Activity with a Fourth-Year Student
Published in Mathematics (Basel) (21-05-2022)“…In industrial engineering degrees in Spain, mathematics subjects are usually taught during the first two academic years. Consequently, it is often the case…”
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Editorial: Analytical and Numerical Methods for Differential Equations and Applications
Published in Frontiers in applied mathematics and statistics (09-08-2021)Get full text
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15
On the stability of θ-methods for DDEs and PDDEs
Published in Applied numerical mathematics (01-10-2024)“…In this paper, the stability of θ-methods for delay differential equations is studied based on the test equation y′(t)=−Ay(t)+By(t−τ), where τ is a constant…”
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Evaluation of Teaching and Learning Mathematics with Online Activities
Published in International journal of learning (2009)Get full text
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On the stability of $\theta$-methods for DDEs and PDDEs
Published 27-11-2023“…In this paper, the stability of $\theta$-methods for delay differential equations is studied based on the test equation $y'(t)=-A y(t) + B y(t-\tau)$, where…”
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Resolution-optimal exponential and double-exponential transform methods for functions with endpoint singularities
Published 23-10-2015“…We introduce a numerical method for the approximation of functions which are analytic on compact intervals, except at the endpoints. This method is based on…”
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Explicit finite difference schemes adapted to advection-reaction equations
Published in International journal of computer mathematics (01-04-2008)“…Several numerical methods are presented that have been adapted for a linear, first-order, hyperbolic partial differential equation-the non-homogeneous constant…”
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Basic mathematics assessment in engineering degrees: Case study
Published in 2018 IEEE Global Engineering Education Conference (EDUCON) (01-04-2018)“…With the general objective of highlighting the changes produced in the teaching of mathematics in European engineering studies, this paper presents examples of…”
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