Modern Problems In Pdes And Applications
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Modern Problems in PDEs and Applications
Author: Marianna Chatzakou
language: en
Publisher: Springer Nature
Release Date: 2024-07-15
The principal aim of the volume is gathering all the contributions given by the speakers (mini courses) and some of the participants (short talks) of the summer school "Modern Problems in PDEs and Applications" held at the Ghent Analysis and PDE Center from 23 August to 2 September 2023. The school was devoted to the study of new techniques and approaches for solving partial differential equations, which can either be considered or arise from the physical point of view or the mathematical perspective. Both sides are extremely important since theories and methods can be developed independently, aiming to gather each other in a common objective. The aim of the summer school was to progress and advance in the problems considered. Note that real-world problems and their applications are classical study trends in physical or mathematical modelling. The summer school was organised in a friendly atmosphere and synergy, and it was an excellent opportunity to promote and encourage the development of the subject in the community.
Women in Analysis and PDE
Author: Marianna Chatzakou
language: en
Publisher: Springer Nature
Release Date: 2024-10-16
Since 2019 Ghent Analysis & PDE Center (GAPC) has been organising international workshops, conferences, seminars, and other scientific events covering a wide range of pioneering topics in Analysis and PDEs. In the winter of 2023, the GAPC decided to collect and publish mathematical results presented by women mathematician hosted at the center. This collection, in the form short papers, presented in the current book offers a wide range of state of art in Analysis and PDEs and disseminates the scientific discoveries of GAPC’s visitors and members to scientists outside of the center. The short papers published in current volume in the subseries Research Perspectives Ghent Analysis and PDE Center within the book series Trends in Mathematics are peer-reviewed written versions of the talks presented by women at GAPC events and are grouped accordingly. The current volume is strictly speaking in the realm of pure mathematics, but aims to be of interest not only to scientists in the field, butalso to anyone who has an interest to other applied sciences that Analysis and PDEs have applications to. The collection will also include the talks given at the two workshops "Women in Generalised Functions", organised in 2022 and 2023.
PDE Toolbox Primer for Engineering Applications with MATLAB® Basics
Partial differential equations (PDEs) describe technological phenomena and processes used for the analysis, design, and modeling of technical products. Solutions of spatial and transient PDEs are realized by using the PDE Toolbox included in the MATLAB® software. MATLAB® is introduced here as an essential foundation for PDE, and the Modeler of the PDE Toolbox, with appropriate explanatory solutions, is applied to engineering problems in mechanics, heat/mass transfer, tribology, materials science, physics, and biotechnology. The appendixes contain collections of commands and functions used to solve actual engineering problems. FEATURES Includes the PDE Modeler interface with example solutions of two- and three-dimensional PDEs Presents methodologies for all types of PDEs as representative of any engineering problem Describes the ordinate differential equation (ODE) solver for initial value and boundary value problems (IVP and BVP) through practical examples from mechanics and the thermodynamic properties of materials Covers the basics of MATLAB® to solve both ODEs and PDEs Reviews spatially the one-dimensional PDE solver with actual engineering examples PDE Toolbox Primer for Engineering Applications with MATLAB® Basics is aimed at scientists, students, professionals, practitioners, self-taught readers, and researchers who need concise and clear information to study and apply MATLAB® software and the PDE Toolbox in engineering.