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International observatory and comparative evaluations on urban and architectural heritage integrated methodologies for a knowledge of the Brescia station
Get PDF[ENG] As part of the scientific agreements between University of Rome Sapienza and the Universidad Nacional de La Plata, studies have been developed to deepen the knowledge of the Italian-Argentine architectural heritage through drawing and surveying activities, including the research and teaching experience about the Lombard heritage here reported. In the activity of Visiting Professor, carried out remotely at the University of Brescia in 2020, seminars were organized to clarify the relationships between buildings and architects. Those interactions attest the richness of the Italy/Argentina migration phenomenon. The same experience, repeated in 2024, triggered a reflection on the effectiveness of the inperson activity carried out in Brescia Station Square. In the workshop the students experimented the use of life-drawing as a tool for understanding and researching a common lexicon, which testifies to the existence of a cultural bridge between those countries. They experienced a direct and immersive knowledge experience where the dialogue between observer and urban heritage stimulates and suggests valorization proposals. The results of the study of the city, the urban context and the building, presented in two boards, made it possible to verify through drawing the relationship between the two countries under consideration. Many focus were displayed: historical and socio-cultural moments, argentine references, building qualities and sensorial aspects. Communicative research, conceptual investigation, personal reflections and a global reading were evaluated. Drawing, an important tool for perception, critical analysis and autonomy with respect to computer programs, has a very important role for developing the skills necessary for the training of architects. [IT] Nell’ambito degli Accordi di collaborazione scientifica tra Sapienza, Università di Roma e l’Universidad Nacional de La Plata sono stati sviluppati numerosi studi per approfondire la conoscenza del patrimonio architettonico italo-argentino attraverso il disegno ed il rilievo, includendo l’attività di ricerca e didattica sul patrimonio lombardo riportata in questo scritto. Nell'attività di Visiting Professor, svolta a distanza presso l'Università degli Studi di Brescia nel 2020, sono stati organizzati seminari volti a chiarire le relazioni tra opere e architetti che attestano un ricco volto del fenomeno migratorio Italia/Argentina. La stessa esperienza, ripetuta nel 2024 ha innescato una riflessione sull'efficacia dell'attività in presenza svolta nella Piazza della Stazione di Brescia. Nel workshop gli studenti hanno sperimentato l'uso del disegno dal vero come strumento per la comprensione e la ricerca di un lessico comune, che testimonia un ponte culturale tra i paesi. Hanno vissuto un'esperienza di conoscenza diretta e immersiva come attività formativa unica dove il dialogo tra osservatore e patrimonio urbano stimola e suggerisce proposte di valorizzazione. I risultati dello studio della città, del contesto urbano e dell'opera, rappresentati in due tavole, hanno permesso di verificare attraverso il disegno il rapporto tra i due paesi in esame. Sono stati visualizzati momenti storici, socio-culturali, riferimenti argentini, qualità edilizie e aspetti sensoriali. Sono state valutate le ricerche comunicative, l'indagine concettuale, le riflessioni personali e la lettura unitaria. Il disegno, importante strumento di percezione, analisi critica e autonomia rispetto ai programmi informatici, risulta significativo per sviluppare le competenze necessarie per la formazione degli architetti. I risultati dello studio della città, del contesto urbano e dell'opera, rappresentati in due tavole hanno permesso di verificare attraverso il disegno il rapporto tra i due paesi. Sono stati visualizzati momenti storici, socio-culturali, riferimenti argentini, qualità edilizie e aspetti sensoriali. Sono state valutate le ricerche comunicative, l'indagine concettuale, le riflessioni personali e la lettura unitaria
Pilar de Catí hermitage: history and devotion in the countryside since the 17th century
Get PDF[ENG] The objective of this work is to carry out a historical and graphic analysis of the Ermita del Pilar, located in Catí, Castellón, Spain. Its origin, evolution and architectural characteristics are examined, as well as comparing it in terms of style, dimensions, and construction techniques with other hermitages in the municipality and religious buildings in the region. This analysis allows contextualizing its relevance within the local heritage. The methodology followed has been a mixed approach to information collection, characteristic of architectural heritage studies. Various written documents have been collected, and an exhaustive graphic survey has been carried out. The work constitutes a valuable contribution in the technical, architectural, and social fields, by contributing to the knowledge and preservation of the cultural legacy.
[SPA] El objetivo de este trabajo es realizar un análisis histórico y gráfico de la Ermita del Pilar, ubicada en Catí, Castellón, España. Se examina su origen, evolución y características arquitectónicas, comparándola en cuanto a estilo, dimensiones y técnicas constructivas con otras ermitas del municipio y edificios religiosos de la comarca. Este análisis permite contextualizar su relevancia dentro del patrimonio local.
La metodología seguida ha sido mixta para la recopilación de información, característica de los estudios de patrimonio arquitectónico. Se ha recopilado diversa documentación escrita y se ha realizado un exhaustivo estudio gráfico.
El trabajo constituye una valiosa aportación en los ámbitos técnico, arquitectónico y social, al contribuir al conocimiento y la preservación del legado cultural
Psychosocial risks in the construction sector
Get PDF[SPA] Los riesgos psicosociales son aquellas características de las condiciones de trabajo que afectan a la salud de los trabajadores, generando hechos negativos como puede ser el estrés, la violencia física, verbal, psicológica, o el burnout, entre la plantilla de una organización, resultado de una mala gestión u organización por parte de la empresa. Por lo que este proyecto pretende realizar un análisis general en el sector de la construcción, identificando y evaluando dichos riesgos, así como a su vez un asesorando al empresario para poder disminuir dichos riesgos, puesto que este sector juega un papel importante en la economía del país, encontrándose latente en todo momento y a su vez siendo abandonado en el campo psicosocial. La finalidad de este análisis es conseguir un bienestar para el trabajador, creando un entorno laboral saludable. El estudio de campo se llevó a cabo en colaboración con la empresa “Evohe Resorts, SL”, y con la utilización de la última versión, la herramienta facilitada por el INSST, denominada FPSICO 4.1. [ENG] Psychosocial risks refer to aspects of working conditions that can negatively impact workers’ health, leading to issues such as stress, physical, verbal, or psychological violence, or burnout among employees. These problems often are the result of poor management or organizational practices within a company. This project aims to carry out a general analysis of the construction sector, identifying and assessing these risks, while also providing guidance to employers on how to reduce them. This is particularly important given the construction sector’s significant role in the country’s economy, constantly active yet often overlooked in terms of psychosocial well-being. The ultimate goal of this analysis is to promote worker well-being by creating a healthy work environment. The field study was conducted in collaboration with the company "Evohe Resorts, SL", using the latest version of the FPSICO 4.1 tool provided by the INSST.Facultad de Ciencias de la EmpresaUniversidad Politécnica de Cartagen
Effect of the partial replacement of inorganic fertilizers by biofertilizers on greenhouse gas emissions from an agricultural soil
Get PDF[SPA] La Región de Murcia, caracterizada por su clima semiárido y su alta sensibilidad al cambio climático, presenta suelos cada vez más degradados debido a décadas de manejo agrícola intensivo. La agricultura actúa como una de las fuentes principales de gases de efecto invernadero (GEI) según el tipo de cultivo, de labranza o de fertilizantes usados. La sustitución parcial de fertilizantes minerales por biofertilizantes puede ser una alternativa sostenible para mantener la producción agraria mientras se reducen las emisiones de GEI. En este contexto, el presente Trabajo Fin de Máster evalúa el efecto del uso de biofertilizantes como alternativa parcial a los fertilizantes inorgánicos en un cultivo de patata, a través del análisis de emisiones de CO2, N2O y CH4. Para ello, se estableció un cultivo de patata con cuatro tratamientos: i) 100% fertilización inorgánica (F100) ii) 50% fertilización inorgánica (F50); iii) 50% fertilización inorgánica + biofertilizante (bacterias) y iv) 50% fertilización inorgánica + biofertilizante (bacterias + hongos). Los resultados mostraron que el rendimiento del cultivo no se vio afectado por los diferentes tratamientos de fertilización. Sin embargo, el peso medio de los tubérculos y su firmeza fueron significativamente mayores bajo el tratamiento de bacterias + hongos, lo que indica una mejora en la calidad del producto. Las tasas de emisión de CO₂ disminuyeron en un 25%, 34% y 42% con los tratamientos F50, bacterias + hongos y bacterias, respectivamente, en comparación con F100. Las emisiones de N₂O y CH₄ no se vieron afectadas por los tratamientos.
Por tanto, la sustitución parcial de fertilizantes minerales por formulados basados en microorganismos parece una estrategia sostenible para mantener altas producciones, reduciendo al mismo tiempo las emisiones de CO2 del suelo.
[ENG] The Region of Murcia, characterised by its semiarid climate and its high sensitivity to climate change, has increasingly degraded soils due to decades of intensive agricultural management. Agriculture acts as one of the main sources of greenhouse gases (GHG) depending on the type of crop, tillage or fertilisers used. Partial substitution of mineral fertilisers by biofertilisers can be a sustainable alternative to maintain agricultural production while reducing GHG emissions. In this context, this Master Thesis evaluates the effect of the use of biofertilisers as a partial alternative to inorganic fertilisers in a potato crop, through the analysis of emissions of CO2, N2O and CH4. For this purpose, a potato crop was established with four treatments: i) 100% inorganic fertilization (F100); ii) 50% inorganic fertilization (F50); iii) 50% inorganic fertilisation + biofertiliser (bacteria) and iv) 50% inorganic fertilisation + biofertiliser (bacteria + fungi). The results showed that crop yield was not affected by the different fertilization treatments. However, the mean tuber weight and firmness were significantly higher under the bacteria + fungi treatment, indicating an improvement in product quality. CO₂ emission rates decreased by 25%, 34%, and 42% with the F50, bacteria + fungi, and bacteria treatments, respectively, compared to F100. N₂O and CH₄ emissions were not affected by the treatments. Therefore, the partial replacement of mineral fertilizers with microorganism-based formulations appears to be a sustainable strategy to maintain high yields while simultaneously reducing soil CO₂ emissions.Escuela Técnica superior de Ingeniería AgronómicaUniversidad Politécnica de Cartagen
The oval shape in cloister design: the case study of the Church of Sant Antoni de Viana in Palma de Mallorca
Get PDF[ENG] This contribution forms part of the ongoing research on the use of the oval form in cloisters, first initiated with the study of the cloister of Santa Maria della Sanità in Naples and now extended to the broader European architectural context. Within this framework, the paper presents investigations on the cloister of Sant Antoni de Viana in Palma de Mallorca, a remarkable example of Baroque architecture, though currently inaccessible to the public. By employing methods and tools of Architectural Drawing, the study fosters renewed “accessibility” to the knowledge of the site, in synergy with the PRIN 2022 project EX-IN_AccessiBILITY, which aims to develop new models for the enjoyment and dissemination of religious heritage. The research adopted integrated digital surveying methodologies, relying on well-established photogrammetric practices. This approach ensured the documentation of the site through conventional graphic representations, while also enabling in-depth geometric analyses of its polycentric planimetric matrix, thereby facilitating comparisons with the cloister of Santa Maria della Sanità. Furthermore, the use of advanced modeling techniques constitutes a key asset for future initiatives of dissemination and virtual accessibility, harnessing the potential of contemporary ICT technologies. In addition to expanding studies on the complex of Santa Maria della Sanità, the investigation contributes to the understanding of a heritage asset that has so far received limited attention within the scientific community. It also inaugurates a line of research aimed at classifying cloister typologies based on non-traditional planimetric matrices. In this perspective, by developing an interconnected network of studies through the comparison of distinct examples, the research broadens the understanding of the diffusion and transformations of such typologies within both the European and extra-European architectural panorama. [IT] Il contributo si inserisce nel filone di ricerca sull’impiego della forma ovata nei chiostri, avviato con l’analisi del chiostro di Santa Maria della Sanità a Napoli e ora esteso al panorama architettonico europeo. In questo contesto, vengono presentati gli studi sul chiostro di Sant Antoni de Viana a Palma di Maiorca, pregevole esempio di architettura barocca, ma tuttavia precluso alla fruizione pubblica. Attraverso metodi e strumenti propri del Disegno, le indagini consentono una rinnovata 'accessibilità' alla conoscenza del bene, integrandosi nel progetto PRIN 2022 EX-IN_AccessiBILITY, finalizzato allo sviluppo di nuovi modelli di fruizione e disseminazione del patrimonio religioso. L‘attività ha previsto l’impiego di metodologie di rilievo digitale integrato, nel ricorso alle consolidate prassi fotogrammetriche. Questo approccio ha garantito la documentazione del sito attraverso le tradizionali rappresentazioni grafiche e ha permesso analisi geometriche approfondite della matrice planimetrica policentrica, facilitando il confronto con il chiostro di S. Maria della Sanità. Inoltre, l’adozione di avanzate tecniche di modellazione rappresenta un elemento chiave per future iniziative di disseminazione e accessibilità virtuale, sfruttando le potenzialità delle moderne tecnologie ICT.
Le indagini, oltre ad ampliare gli studi sul complesso di S. Maria della Sanità, contribuiscono alla conoscenza di un bene finora poco esplorato dalla comunità scientifica, inaugurando un filone di ricerca volto alla classificazione delle tipologie di chiostri con matrici planimetriche non tradizionali. In questo contesto, sviluppando una rete interconnessa di ricerche attraverso il confronto tra esempi distinti, si amplia la comprensione della diffusione e delle trasformazioni di tali tipologie nel panorama architettonico europeo ed extraeuropeo
Beyond the screen: hand-drawn life representation in the age of metaverse
Get PDF[ENG] This study explores the significance of hand-drawn life drawing in architectural education within a context increasingly dominated by digital tools. It aims to emphasize the cognitive and transcendental potential of drawing as an immersive and analytical learning practice. The research is based on the course Methods for the Representation and Modelling of the City and Territory at the University of Bologna. Students engage in on-site hand-drawing exercises across urban spaces, focusing on public areas and natural elements. The methodology prioritizes direct observation and includes exercises in proportionality, light and shadow, and the depiction of figures, architecture, and landscapes. Students demonstrated improved technical and perceptual skills. Their drawings showed greater accuracy in representing spatial relationships, proportions, and natural and human forms. They developed stronger visual analysis capabilities, learning to balance detail with thematic hierarchy and improving their overall architectural representation. As a case study based on a single academic course, findings may not be universally generalizable. However, they offer valuable insights into pedagogical approaches combining analog and digital tools. The findings support integrating hand-drawing practices into curricula to cultivate spatial awareness, observational accuracy, and critical thinking. Encouraging on-site drawing fosters a deeper connection between students and the urban environments they study, enhancing sensitivity to social and spatial dynamics. The study reinforces the value of hand-drawing as an irreplaceable tool for critical analysis and spatial understanding. It argues that the manual act of drawing nurtures a deeper connection between observer and subject, making it essential to architectural education even in the digital. [IT] Questo studio esplora l’importanza del disegno a mano dal vero nell’insegnamento dell’architettura, in un contesto sempre più dominato dagli strumenti digitali. L’obiettivo è evidenziare il potenziale cognitivo e trascendentale del disegno come pratica immersiva e analitica di apprendimento. La ricerca si basa sul corso Methods for the Representation and Modelling of the City and Territory dell’Università di Bologna. Gli studenti svolgono esercitazioni di disegno a mano in spazi urbani, concentrandosi su luoghi pubblici ed elementi naturali. La metodologia privilegia l’osservazione diretta, includendo esercizi su proporzioni, luce e ombra, e rappresentazione di figure, architetture e paesaggi. Gli studenti hanno sviluppato competenze tecniche e percettive più avanzate. I disegni mostrano maggiore accuratezza nella rappresentazione delle relazioni spaziali, delle proporzioni e delle forme naturali e umane. Le capacità di analisi visiva sono migliorate, consentendo un migliore equilibrio tra dettaglio e gerarchia tematica.
Essendo uno studio basato su un singolo corso, i risultati non sono generalizzabili in senso assoluto, ma offrono spunti utili per pratiche didattiche che integrano strumenti analogici e digitali. I risultati supportano l’integrazione del disegno a mano nei curricula per sviluppare consapevolezza spaziale, osservazione accurata e pensiero critico.
Il disegno in situ promuove un legame più profondo tra studenti e ambiente urbano, rafforzando la sensibilità verso lo spazio e il contesto sociale. Lo studio riafferma il valore insostituibile del disegno a mano come strumento di analisi critica e comprensione dello spazio, essenziale nella formazione architettonica anche in epoca digitale
Evolution of employment in Spain in the period 2014-2024 according to educational level
Get PDFThe purpose of this final degree project is to analyze the relationship between academic studies and employability in Spain during the period between 2014 and 2024. The study will address how the weight of different educational levels such as secondary education, technical training and university studies, among others, in the active population has evolved, and how each of them has been associated with different rates of employment, unemployment and underemployment. The aim is to identify which levels of training have experienced the greatest improvement in terms of analyses show a growth in employment with an increasing presence of women in the labour market in absolute and proportional terms. On the other hand, the increase in the number of people with university or technical education in the labour market is confirmed, to the detriment of those with lower levels of education. The obvious relationship between the evolution of employment and that of economic activity represented by Gross Domestic Product (GDP) can be qualified by pointing out a greater association with the share of GDP associated with services. The wage gap established by the educational level is obvious, and it can serve as a stimulus for the population to set educational objectives in their life projects.Facultad de Ciencias de la EmpresaUniversidad Politécnica de Cartagen
GIS and BIM in urbanistic management process
Get PDF[ENG] Reparcelling is an urban planning operation aimed at the equitable distribution of benefits and burdens within an Action Unit. This study proposes a methodology to replace traditional CAD tools in the Reparcelling Project with more advanced, reliable, precise and efficient technologies. To achieve this, two key technologies were proposed: Geographic Information Systems (GIS) and Building Information Modeling (BIM). First, GIS software was employed to analyze cadastral data, the current state of the area, and applicable regulations, establishing an initial workflow for the reparcelling process. In the second phase, BIM technology was utilized to develop the Reparcelling Project and manage the Action Unit in detail. BIM enabled precise calculations, such as determining the percentage of land allocated to each owner, as well as urbanization aspects, including road networks, administrative transfers, or infrastructure planning. Finally, the efficiency of GIS and BIM was compared in terms of data input and processing. The results highlight the advantages of the proposed methodologies over traditional methods, demonstrating its potential to enhance accuracy, streamline workflows, and improve decision-making in Reparcelling Projects.
[SPA] La reparcelación es una operación urbanística que tiene por objeto la distribución equitativa de beneficios y cargas dentro de una Unidad de Actuación. Este estudio propone una metodología para sustituir las herramientas tradicionales de CAD en el Proyecto de Reparcelación por tecnologías más avanzadas, fiables, precisas y eficientes. Para lograrlo, se proponen dos tecnologías clave: Sistemas de Información Geográfica (GIS) y el Modelado de Información de Edificios (BIM). En primer lugar, se empleó software GIS para analizar los datos catastrales, el estado actual de la zona y la normativa aplicable, estableciendo un flujo de trabajo inicial para el proceso de reparcelación. En la segunda fase, se utilizó la tecnología BIM para desarrollar el Proyecto de Reparcelación y gestionar en detalle la Unidad de Actuación. BIM permitió realizar cálculos precisos, como determinar el porcentaje de suelo asignado a cada propietario de fincas resultantes, así como aspectos de todo lo que concierne a la urbanización del área, como por ejemplo las superficies de la red viaria, las cesiones a la administración o la planificación de infraestructuras. Por último, se comparó la eficiencia del GIS y el BIM en términos de introducción y procesamiento de datos. Los resultados ponen de relieve las ventajas de las metodologías propuestas frente a los métodos tradicionales, demostrando su potencial para aumentar la precisión, agilizar los flujos de trabajo y mejorar la toma de decisiones en los Proyectos de Reparcelación
Calculation of flexibility in a desalination plant piping system
Get PDF[SPA] El análisis de la flexibilidad en un sistema de tuberías se enfoca en evaluar los comportamientos de las respectivas tuberías, frente a esfuerzos y deformaciones, que pueden surgir cuando se transportan fluidos a altas temperaturas, o si las tuberías poseen grandes longitudes. De esta manera, se garantiza la eficiencia, la seguridad y la durabilidad de la infraestructura. Sus ventajas principales consisten en reducir tensiones, optimizar el diseño, aumentar la vida útil del sistema, mejorar la seguridad de las tuberías, minimizar los costes de mantenimiento, y el cumplimiento de la normativa requerida. Este análisis evalúa cómo los cambios de presión y las fuerzas externas afectan a la estructura del sistema, puesto que, la flexibilidad estructural no solo previene fracturas, sino que también reduce el riesgo de fugas y colapsos.[ENG] The analysis of flexibility in a piping system focuses on evaluating the behavior of the respective pipes in response to stresses and deformations that may arise when transporting fluids at high temperatures or when the pipes are of considerable length. In this way, the efficiency, safety, and durability of the infrastructure are ensured. Its main advantages include reducing stresses, optimizing the design, increasing the system’s lifespan, improving pipe safety, minimizing maintenance costs, and ensuring compliance with the required regulations. This analysis assesses how pressure changes and external forces affect the system’s structure, as structural flexibility not only prevents fractures but also reduces the risk of leaks and collapses.Escuela Técnica Superior de Ingeniería IndustrialUniversidad Politécnica de Cartagen
Reconstruction, subdivision and multiresolution algorithms in several dimensions
No full text[SPA] Introducción. En esta tesis se presentan varios avances en la temática de las reconstrucciones no lineales, y en los esquemas de subdivisión y de multirresolución derivados de éstos. También están presentes posibles aplicaciones, entre ellas la integración numérica. Objetivos Este proyecto de tesis aborda los siguientes objetivos: • Desarrollo de una teoría específica para algoritmos de multirresolución con estrategias de control del error. Programación de los códigos necesarios para su correcta implementación. • Extensión a mallados no uniformes del artículo” Interpolation and approximation of piecewise smooth functions”. Se trata de una técnica de detección de singularidades y de aproximación de funciones con discontinuidades en la primera derivada original de los autores F. Aràndiga, A. Cohen, R. Donat y N. Dyn. • Definición y estudio de una técnica de reconstrucción de cualquier orden deseado basada en interpolación segmentaria de Hermite combinada con un algoritmo de detección de discontinuidades. • Análisis de la fórmula del error de las reglas de Newton Cotes cerradas para integración numérica. Estudio del Núcleo de Peano versus otras técnicas que no son apropiadas para métodos de alto orden de aproximación. Metodología La metodología utilizada sigue las prácticas habituales en ciencia. Inicialmente, se realiza una revisión del estado del arte, analizando los métodos existentes e identificando sus fortalezas y limitaciones. Luego, se introduce y analiza en profundidad la nueva idea, proporcionando pruebas teóricas para sustentar las principales propiedades del método numérico propuesto. A continuación, se realizan experimentos numéricos para demostrar la aplicabilidad práctica y la efectividad del método propuesto, comparando los resultados con las técnicas existentes para ilustrar las mejoras y ventajas. Resultados Principales y Conclusiones La tesis introduce y analiza cuatro técnicas numéricas: • Algoritmos de multirresolución N-dimensional para la discretización de valores puntuales, con y sin estrategias de control de errores, derivando límites explícitos de estabilidad en las normas l1, l2 y l∞. Los algoritmos de control de errores permiten especificar la calidad de los datos reconstruidos y habilitan el uso de esquemas no lineales que de otro modo serían inestables. Es importante destacar que las reconstrucciones no lineales estables funcionan mejor en presencia de discontinuidades. Los experimentos muestran que, aunque los algoritmos de control de errores requieren más esfuerzo computacional, el aumento no es significativamente alto. • Extensión de un mecanismo de detección de esquinas a mallas cuasi-uniformes _ , con órdenes de aproximación teóricos confirmados a través de experimentos numéricos. • Definición de un algoritmo de reconstrucción combinado que involucra detección de esquinas y reconstrucción segmentaria de Hermite, manteniendo el mismo orden de aproximación que el método original, con experimentos numéricos que conrean los resultados teóricos. • Examen de la incompletitud en la prueba extendida de las fórmulas de error de Newton-Cotes cerradas para la integración numérica, enfatizando la importancia de argumentos lógicos rigurosos.[ENG] Introduction. This thesis presents advances in nonlinear reconstructions, subdivision, and multiresolution schemes, with applications including numerical integration. Objectives. The thesis addresses the following objectives: • Develop a theory for multiresolution algorithms with error control strategies and implement the necessary codes. • Extend the technique for singularity detection and approximation of functions with disconti-nuities in the first derivative to non-uniform meshes, based on the work by F. Ar`andiga, A. Cohen, R. Donat, and N. Dyn. • Define and study a reconstruction technique of any desired order using Hermite segmentary interpolation combined with a discontinuity detection algorithm. • Analyze the error formula of the closed Newton-Cotes rules for numerical integration and study the Peano Kernel versus other techniques unsuitable for high-order approximation methods. Methodology. The methodologies follow standard scientific practices. Initially, a review of state-of-the-art techniques is conducted to establish the research landscape, analyzing existing methods and identifying their strengths and limitations. The new idea is then introduced and analyzed in-depth, with theoretical proofs provided to substantiate the main properties of the proposed numerical method. Numerical experiments are performed to demonstrate the practical applicability and effectiveness of the proposed method, comparing results with existing techniques to illustrate improvements and advantages. Main Results and Conclusions. The thesis introduces and analyzes four numerical techniques: • N-dimensional multiresolution algorithms for point value discretization, with and without error control strategies, deriving explicit stability error bounds in the l1, l2, and l∞ norms. Error control algorithms allow specifying the quality of reconstructed data and enable the use of otherwise unstable nonlinear schemes. Implementation instructions highlight that nonlinear stable reconstructions perform better with discontinuities. Experiments show that while error control algorithms require more computational effort, the increase is not significantly high. • Extension of a corner detection mechanism to σ quasi-uniform grids, with theoretical approximation orders confirmed through numerical experiments. • Definition of a combined reconstruction algorithm involving corner detection and piecewise Hermite reconstruction, maintaining the same approximation order as the original method, with numerical experiments confirming theoretical results. • Examination of the incompleteness in the extended proof of closed Newton-Cotes error formulas for numerical integration, emphasizing the importance of rigorous logical arguments.Escuela Internacional de Doctorado de la Universidad Politécnica de CartagenaUniversidad Politécnica de CartagenaPrograma de Doctorado en Tecnologías Industriale