Recent Advances in Industrial and Applied Mathematics

This open access book contains review papers authored by thirteen plenary invited speakers to the 9th International Congress on Industrial and Applied Mathematics (Valencia, July 15-19, 2019). Written by top-level scientists recognized worldwide, the scientific contributions cover a wide range of cutting-edge topics of industrial and applied mathematics: mathematical modeling, industrial and environmental mathematics, mathematical biology and medicine, reduced-order modeling and cryptography. The book also includes an introductory chapter summarizing the main features of the congress. This is the first volume of a thematic series dedicated to research results presented at ICIAM 2019-Valencia Congress.

This book is open access, which means that you have free and unlimited access The scientific chapters are written by world top-level scientists The subjects cover a wide spectrum of subjects within industrial and applied mathematics The contributions are reviews of the afforded subjects

Autorentext
Tomás Chacón Rebollo is a Full Professor at the Department of Differential Equations and Numerical Analysis and the Institute of Mathematics of the University of Seville (IMUS). He is Ph.D. in Mathematics and in Numerical Analysis at the universities of Seville and Paris 6, respectively. His scientific interests are numerical and reduced-order modeling in fluid mechanics and their applications to real-world problems. He is interested in the promotion of mathematical research and transfer. He was Director of BCAM (2012-13) and IMUS (2015-19) and chairman of ICIAM-2019 Congress.Rosa Donat is a professor at the Department of Mathematics of the University of Valencia. She has worked on numerical methods for hyperbolic conservation laws and systems and on multiresolution and subdivision frameworks that incorporate nonlinear approximation techniques. She was actively involved in the Spanish Society for Applied Mathematics (SeMA), as president in the 2016-1020 period.

Inmaculada Higueras is a full professor at the Department of Statistics, Computer Science and Mathematics of the Public University of Navarre (Pamplona, Spain). Her research focuses on time stepping methods for differential problems (ODEs, DAEs and PDEs). She has worked on numerical stability, numerical preservation of qualitative properties (positivity, monotonicity, contractivity, etc.) and on the design and implementation of robust and efficient numerical schemes.

Inhalt

1 M. Berger, Asteroid-Generated Tsunamis: A Review.- 2 A. Bermúdez, Some Case Studies in Environmental and Industrial Mathematics.- 3 Z. Cai et al., Hyperbolic Model Reduction for Kinetic Equations.- 4 A. Cohen et al., State Estimation - The Role of Reduced Models.- 5 C. Conca, Modelling Our Sense Of Smell.- 6 L. Edelstein-Keshet, Pattern formation inside living cells.- 7 M. Garzon et al., Efficient Algorithms for Tracking Moving Interfaces.- 8 K. Lauter, Private AI: Machine Learning on Encrypted Data.- 9 C. Le Bris, Mathematical approaches for contemporary materials science: Addressing defects in the microstructure.- 10 H. Leng et al., An iterative thresholding method for topology optimization for the Navier-Stokes flow.- 11 K. Sako, Cryptography and Digital Transformation.- 12 H. Suito et al., Numerical Study for Blood Flows in Thoracic Aorta.- 13 J.A.C. Weideman, Dynamics of Complex Singularities of Nonlinear PDEs: Analysis and Computation.