Exact and Approximate Solutions for Mathematical Models in Science and Engineering

This contributed volume collects papers presented during a special session on integral methods in science and engineering at the 2023 International Conference on Computational and Mathematical Methods in Science and Engineering (CMMSE), held in Cadiz, Spain from July 3-8, 2023. Covering the applications of integral methods to scientific developments in a variety of fields, the chapters in this volume are written by well-known researchers in their respective disciplines and present new results in both pure and applied mathematics.  Each chapter shares a common methodology based on a combination of analytic and computational tools, an approach that makes this collection a valuable, multidisciplinary reference on how mathematics can be applied to various real-world processes and phenomena.

On Spectroscopy of Sampled Signals Using the Hilbert Transform (Bodmann).- Approximation of Solution for Bending of an Elastic Plate: Interior vs Exterior Cases (Constanda).- A PDE method for modelling the soil temperature of cropfields with data fromWireless Sensor Networks (Fresneda-Portillo).- Extreme cases in boundary homogenization for the linear elasticity system (Perez-Martinez).- A Model of the Spread of a Disease Through a Population With Different Age Groups (Harris).- A survey on the boundary behavior of the double layer potential in Schauder spaces in the frame of an abstract approach (Cristoforis).- The Dirichlet Problem on Rough Domains and Herz Spaces (Mitrea).- Analytical Solution of Slug Low SalinityWaterflooding (Pires).- PN synthetic acceleration for the source iteration scheme in slab-geometry discrete ordinates transport calculations (Barros).- Dynamic iteration error analysis (Zubik-Kowal).