Integral Methods in Science and Engineering

Study and Solutions of Mathematical Models
Erscheinungsjahr 2026
ISBN: 978-3-032-04457-0
Verlag: Birkhäuser

Buch, Englisch, 458 Seiten, Format (B × H): 160 mm x 241 mm, Gewicht: 867 g

This volume contains a collection of articles on state-of-the-art developments in the construction of theoretical integral techniques and their application to specific problems in science and engineering. The chapters in this book are based on talks given at the Eighteenth International Conference on Integral Methods in Science and Engineering, held in Macaé, Brazil in August 2024, and are written by internationally recognized researchers. This collection will be of interest to researchers in applied mathematics, physics, and mechanical, electrical, and petroleum engineering, as well as graduate students in these disciplines and other professionals for whom integration is an essential working tool.

Zielgruppe

Research

Autoren/Hrsg.

Constanda, Christian

Bodmann, Bardo E. J.

Harris, Paul J.

Fachgebiete

• Technische Wissenschaften Technik Allgemein Mathematik für Ingenieure
• Mathematik | Informatik Mathematik Mathematische Analysis Differentialrechnungen und -gleichungen
• Mathematik | Informatik Mathematik Numerik und Wissenschaftliches Rechnen Numerische Mathematik
• Mathematik | Informatik Mathematik Numerik und Wissenschaftliches Rechnen Angewandte Mathematik, Mathematische Modelle

Inhaltsverzeichnis

Chapter 1 Longitudinal Oscillations for Eigen functions in Rod Like Structures.- Chapter 2 Implementation and Evaluation of Molecular Effects in Neutron Interactions in a Physical Monte Carlo Simulator.- Chapter 3 Effect of Maximum Courant Number on Carbonate Acidizing 3D Simulations.- Chapter 4 Determination of the Effects of Incrustation on the Permeability of Reservoir Rocks Using Image Analysis Methods.- Chapter 5 Approximate Solution for a Multiply Connected Finite Plate with Dirichlet Boundary Conditions.- Chapter 6 Use of Galerkin physics-informed neural network for solving the wave equation.- Chapter 7 Numerical Simulation of Two-Component Flow in Gas Reservoirs Considering the Barree and Conway’s Model.- Chapter 8 Homogenization of an eigenvalue problem with a Robin condition in perforated domains.- Chapter 9 Mathematically Modelling Cell Cluster Formation and Substrate Mobility.- Chapter 10 A Finite Element Method For Modelling Diffusion Over A Curved Surface.- Chapter 11 Fourier Analysis Of The Deformations Of A Porous Viscoelastic Structure With An Application To Syringomyelia.- Chapter 12 On a Quality Classification Methodology for Landfills based on the Peclet number and the Soil Retardation Factor.- Chapter 13 The Data-Driven ANN-MoC Method to Neutral Particle Transport Problems in 1D.- Chapter 14 On a Parametrization for the Layer Thickness Depending on the Transmissivity in a Radiative Transfer Problem.- Chapter 15 A limiting case of a theorem of C. Miranda for layer potentials in Schauder spaces.- Chapter 16 Numerical model for non-isothermal flow of CO2-rich multi-component mixtures in injection wellbores.- Chapter 17 Simulation and Data Assimilation in a Chaotic Dynamical System by Cellular Neural Networks.- Chapter 18 Rate superposition for multiple-step injection tests.- Chapter 19 The Connection of the Continuity, the Diffusion and the Waveequation by the Fractional Derivative.- Chapter 20 Application of the Path Tubes Method to One Test Problem for Ocean Tracer Transport.- Chapter 21 Wavelet-based integral formula for solving the wave equation and its application.- Chapter 22 Valve state estimation for a multi-interval oil production well using machine learning techniques.- Chapter 23 Chromatographic Cycle Solution for Two Solute Adsorption Considering pH-Dependent Langmuir Isotherm Coefficients.- Chapter 24 LiDAR and InSAR signals for UAV autonomous navigation over an amazon region.- Chapter 25 On the elaboration of an index for identifying SACZ occurrences using a Discrete Valued Bi-dimensional Singular Transform.- Chapter 26 On a Convergence Criterion for Numerical Solvers of the Linear Transport Equation for Neutral Particles.- Chapter 27 Transient Thermal and Compositional Simulation of Onedimensional Two-phase Flow Using the Drift Flux Model.- Chapter 28 Numerical Simulation of Two-Component Flow in Low- Permeability Gas Reservoirs.- Chapter 29 Angiograms synthetic images from tridimensional analytical modelling.

Über Autor(innen)

Christian Constanda is the holder of the C.W. Oliphant Chair in Mathematics at the University of Tulsa, USA, Emeritus Professor at the University of Strathclyde in Glasgow, UK, and the chairman of the Steering Committee of the International Consortium on Integral Methods in Science and Engineering. His list of publications includes 42 books and over 150 journal papers. He has taught mathematics at universities in four countries on three continents.

 Bardo E.J. Bodmann is a Professor at the Engineering School of the Federal University of Rio Grande do Sul, Porto Alegre, RS, Brazil and co-chairman of the Integral Methods in Science and Engineering Consortium. In his career, he has (co-)authored over 100 articles in international scientific journals, several book chapters, and a few books. His current research interests focus on mathematical methods for solving classical as well as quantum transport problems. The latter also cover physical Monte Carlo simulations using parametrizations for multi-dimensional probability density functions and spectral distributions.

Paul J. Harris is a Reader in Applied Mathematics at the University of Brighton and co-chairman of the Integral Methods in Science and Engineering Consortium. He has worked on the use of numerical methods to solve problems in applied mathematics for over 30 years. These problems include computational acoustics and explosion bubble dynamics. More recently, Dr Harris has concentrated on using mathematics to solve biomedical problems, including modelling the formation of cavities in the spinal cord and how cells move in response to chemical signals.