The topological derivative is defined as the first term (correction) of the asymptotic expansion of a given shape functional with respect to a small parameter that measures the size of singular domain perturbations, such as holes, inclusions, defects, source-terms and cracks.
This book presents a collection of research papers exploring innovative applications of Artificial Intelligence (AI) in Industrial and Applied Mathematics (IAM).
This book introduces a new multifractal vectorial formalism based on Hewitt-Stromberg measures, with particular emphasis on its application to branching random walks on the Galton-Watson tree.
This book is dedicated to Professor Cristóvão Manuel Mota Soares, late Associate Professor at Instituto Superior Técnico, University of Lisbon, deceased on July 3, 2025.
This book introduces a new multifractal vectorial formalism based on Hewitt-Stromberg measures, with particular emphasis on its application to branching random walks on the Galton-Watson tree.
This book presents a collection of research papers exploring innovative applications of Artificial Intelligence (AI) in Industrial and Applied Mathematics (IAM).
Dieser Gesamtband stellt mehr noch als die Einzelbande mit gleichnamigem Titel die Differenzialgleichung als Bilanzgleichung einer physikalischen Grosse ins Zentrum der Betrachtung.
Dieser Gesamtband stellt mehr noch als die Einzelbande mit gleichnamigem Titel die Differenzialgleichung als Bilanzgleichung einer physikalischen Grosse ins Zentrum der Betrachtung.
Unified Principle (𝓤): Complete Architecture of RealityThis thesis proposes an integrated and mathematically rigorous framework for understanding reality, in which laws, events, observers, and moral constraints are unified within a single coherent structure, denoted by 𝓤.
The book discusses the stability, observability, and controllability of nonlinear systems of PDEs (such as Wave, Heat, Euler-Bernoulli beam, Petrovsky, Kirchhoff, equations, and more).
This book provides a systematic summary and condensation of research on infinite-dimensional Hamiltonian operator spectrum theory over the past thirty years, and offers simple and concise proofs for some new achievements.
This book provides a systematic summary and condensation of research on infinite-dimensional Hamiltonian operator spectrum theory over the past thirty years, and offers simple and concise proofs for some new achievements.
These proceedings result from the International Conference 'Geometry, Analysis & Convexity' (OLE 2022) held from 20th to 24th June 2022 at the Instituto de Matemáticas de la Universidad de Sevilla (IMUS), Spain and they include some of the contributions presented at this conference.
