Computational and Analytic Methods in Science and Engineering

1. Front Matter

   Pages i-x

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2. New Numerical Results for the Optimization of Neumann Eigenvalues

   • Daniel Abele, Andreas Kleefeld

   Pages 1-20

3. Transient Convection-Diffusion-Reaction Problems with Variable Velocity Field by Means of DRBEM with Different Radial Basis Functions

   • Salam Adel Al-Bayati, Luiz C. Wrobel

   Pages 21-43

4. On a Parametric Representation of the Angular Neutron Flux in the Energy Range from 1 eV to 10 MeV

   • Luiz F. F. Chaves Barcellos, Bardo E. J. Bodmann, Marco T. Vilhena

   Pages 45-59

5. A Boundary Integral Equation Formulation for Advection–Diffusion–Reaction Problems with Point Sources

   • Luiz F. Bez, Rogério J. Marczak, Bardo E. J. Bodmann, Marco T. Vilhena

   Pages 61-73

6. Displacement Boundary Value Problem for a Thin Plate in an Unbounded Domain

   • Christian Constanda, Dale Doty

   Pages 75-100

7. A Dirichlet Spectral Problem in Domains Surrounded by Thin Stiff and Heavy Bands

   • Delfina Gómez, Sergey A. Nazarov, Maria–Eugenia Pérez-Martínez

   Pages 101-126

8. Spectral Homogenization Problems in Linear Elasticity with Large Reaction Terms Concentrated in Small Regions of the Boundary

   • Delfina Gómez, Sergey A. Nazarov, Maria-Eugenia Pérez-Martínez

   Pages 127-150

9. The Mathematical Modelling of the Motion of Biological Cells in Response to Chemical Signals

   • Paul J. Harris

   Pages 151-171

10. Numerical Calculation of Interior Transmission Eigenvalues with Mixed Boundary Conditions

    • Andreas Kleefeld, Jijun Liu

    Pages 173-195

11. An Inequality for Hölder Continuous Functions Generalizing a Result of Carlo Miranda

    • Massimo Lanza de Cristoforis

    Pages 197-221

12. Two-Phase Three-Component Flow in Porous Media: Mathematical Modeling of Dispersion-Free Pressure Behavior

    • Luara K. S. Sousa, Luana C. M. Cantagesso, Adolfo P. Pires, Alvaro M. M. Peres

    Pages 223-237

13. Error Analysis and the Role of Permutation in Dynamic Iteration Schemes

    • Barbara Zubik-Kowal

    Pages 239-256

14. Correction to: An Inequality for Hölder Continuous Functions Generalizing a Result of Carlo Miranda

    • Massimo Lanza de Cristoforis

    Pages C1-C1

15. Back Matter

    Pages 257-258

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This contributed volume collects papers presented at a special session of the conference Computational and Mathematical Methods in Science and Engineering (CMMSE) held in Cadiz, Spain from June 30 - July 6, 2019. Covering the applications of integral methods to scientific developments in a variety of fields, ranging from pure analysis to petroleum engineering, the chapters in this volume present new results in both pure and applied mathematics. Written by well-known researchers in their respective disciplines, each chapter shares a common methodology based on a combination of analytic and computational tools. This approach makes the collection a valuable, multidisciplinary reference on how mathematics can be applied to various real-world processes and phenomena. Computational and Analytic Methods in Science and Engineering will be ideal for applied mathematicians, physicists, and research engineers.

• CMMSE 2019
• Analytic methods math
• Computational methods
• Neumann eigenvalues
• Angular neutron flux
• Boundary integral equation formulation
• Boundary value problem
• Mathematical modelling biology
• Interior transmission eigenvalue
• Flow in porous media
• Error analysis
• Spectral homogenization
• Spectral problems
• Neutron flux energy spectrum
• Advection diffusion reaction equation

• The Charles W. Oliphant Professor of Mathematics, The University of Tulsa, Tulsa, USA

  Christian Constanda

​Christian Constanda, holder of the C.W. Oliphant Endowed Chair in Mathematics at the University of Tulsa, is the chairman of the International Consortium for Integral Methods in Science and Engineering (IMSE). He organizes IMSE conferences all over the world, and is the author and editor of 32 books and over 150 journal articles.

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