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SPDES: A Stepwise Solver for Teaching Partial Differential Equations
(20200724)Partial Differential Equations (PDE) are an important topic within the Engineering Degrees syllabus. In addition, many students find some dificulties in the learning process of this topic. Therefore, the use of didactical ... 
An Approach to Overtaking Station Layout Diagram Design Using Graphs
(20200724)The authors have approached in the past different railway engineering problems (e.g. [1,2]) and have developed software for the Spanish Railway Foundation [3], mainly using computer algebra systems (CAS). Now a CAS is used ... 
A New Webstepwise Solver for Ordinary Differential Equations
(20200724)In this paper we introduce SODES (Stepwise Ordinary Differential Equations Solver) which is a new solver for Ordinary Dfferential Equations (ODE). SODES can be used not only as a solver but also as a tutorial for the ... 
A Discretetime Queueing System With Imperfect Information for the Server
(20200724)We consider a discretetime Geo=G=1=1 system in which a customer that finishes its fi rst essential service may opt to abandon the system, to receive a second optional service or to place at the head of the queue in order ... 
Sojourn Times and Steadystate Probabilities in a Retrial Queueing System
(20200724)This paper analyses a discretetime Geo/G/1 retrial queue with general retrial times in which the arriving customers may opt to follow a LCFSPR discipline or to join the orbit where it is contemplated the movement of ... 
Einstein connections on Lorentzian spheres
(20200305)A comparison between Riemannian and Lorentzian spheres as regards the existence of Einstein connections with skewtorsion 
Octonions and exceptional Lie algebras
(20200305)It is well known that octonions (both real and complex) are very involved in the structure of the exceptional Lie algebras. We will explore several aspects of this relationship: how octonions provide models of the exceptional ... 
CLIL Implementation applied to Mathematics for Engineering
(20191220)CLIL methodology aims to facilitate the learning of contents in a second language. Authors have tested an experience of implementation in English of these methods in subjects of Mathematics for Engineering at the University ... 
Basic Ideals in evolution algebras
(20191120)Recently a new type of genetic algebras, denominated evolution algebras, has emerged to enlighten the study of nonMendelian genetics, which is the basic language of the molecular Biology. With the aim of finding invariants ... 
A retrial discretetime queueing system with actions in the server
(20191031)This paper considers a discretetime retrial queueing system with movements. The arriving customers can opt to go directly to the server obtaining immediately their service or to join the orbit. In the first case, if the ... 
New functions for random samples generation using Stata 15
(20191030)In the 2017 Spanish Stata Users Group meeting, held in Madrid on October 19th, we introduced some functions for generating random samples from continuous and discrete distributions using STATA 13. In this talk, we will ... 
A new family of Einstein manifolds based on nonassociative structures
(20191028)For each central simple symplectic triple system over the real numbers, the standard enveloping Lie algebra and the algebra of inner derivations of the triple provide a reductive pair related to a semiRiemannian homogeneous ... 
Using a CASdeveloped random samples generator for teaching and research in probabilistic cellular automata and Statistics
(20190725)Our group introduced random samples generation using a CAS, specifically Derive, in the Derive session of ACA 2009. This talk was extended in a paper published in The Derive Newsletter. In the year 2017 we presented a ... 
Teaching the residue theorem and its applications with a CAS
(20190725)The residue theorem is one of the most interesting result in Complex Analysis which allows not only computations in C, the Field of Complex Numbers, but also provides many applications in the Field of Real Numbers R. In ... 
SFOPDES: A stepwise tutorial for teaching Partial Differential Equations using a CAS
(20190725)Partial Differential Equations (PDE) are one of the most difficult topics that Engineering and Sciences students have to study in the different Math subjects in their degree. In this talk we introduce SFOPDES (Stepwise ... 
Dynamic clustering of time series with Echo State Networks
(20190605)In this paper we introduce a novel methodology for unsupervised analysis of time series, based upon the iterative implementation of a clustering algorithm embedded into the evolution of a recurrent Echo State Network. The ... 
Fostering the cooperative learning of mathematics in engineering schools through the "TeacherApprentice" group dynamics
(20190530)In this presentation, we report on the experience gained and the results obtained from an educational innovation project that has sought to introduce cooperative learning into the mathematics subjects of the first year of ... 
Nonassociative structures and 3Sasakian homogeneous manifolds
(20190517)The 3Sasakian homogeneous spaces are certain contact manifolds whose geometric structure is very well codified in Lie theoretical terms. This fact can be used to find interesting invariant affine connections, with nice ... 
Graph theory with an introduction to algebraic graph theory
(20180920)Firstly, we shall start with an introduction to the main topics in Graph Theory with special emphasis in connectivity, colorability and planarity. The, we shall continue with the firsts concepts in Algebraic Graph Theory. ... 
Datadriven distributionally robust optimization with Wasserstein metric, moment conditions and robust constraints
(20180712)We consider optimization problems where the information on the uncertain parameters reduces to a finite data sample. Using the Wasserstein metric, a ball in the space of probability distributions centered at the empirical ...