Advances in Numerical Methods for Hyperbolic Balance Laws and Related Problems

Erscheinungsjahr 2026
ISBN: 978-3-032-36793-8
Verlag: Springer

Buch, Englisch, 157 Seiten, Format (B × H): 155 mm x 235 mm

Reihe: SEMA SIMAI Springer Series

This book presents a collection of cutting-edge research contributions from the 2nd Young Researchers Conference on Numerical Aspects of Hyperbolic Balance Laws and Related Problems. It highlights novel advancements in numerical methods, theoretical analysis, and interdisciplinary applications of hyperbolic partial differential equations. Aimed at researchers, graduate students, and professionals in applied mathematics, scientific computing, and engineering, this book explores advanced numerical techniques such as finite volume and finite element methods, high-resolution schemes, stability analysis, and multiscale modeling. Covering a broad spectrum of applications, it extends from classical fields like fluid mechanics, plasma physics, and granular gases to emerging areas in biology and social sciences, including pedestrian and traffic flow, opinion dynamics, and epidemiology. Bridging theory and computation, this volume serves as a valuable reference for those developing and analyzing numerical schemes for complex systems.

Zielgruppe

Research

Autoren/Hrsg.

Bertaglia, Giulia

Iacomini, Elisa

Fachgebiete

• Mathematik | Informatik Mathematik Numerik und Wissenschaftliches Rechnen Angewandte Mathematik, Mathematische Modelle
• Mathematik | Informatik Mathematik Numerik und Wissenschaftliches Rechnen Numerische Mathematik

Inhaltsverzeichnis

Standard versus Asymptotic Preserving Time Discretizations for the Poisson–Nernst–Planck System in the Quasi-Neutral Limit.-  A Space-Time Hybrid Parareal Method for Kinetic Equations in the Diffusive Scaling.- A DSMC Method for the Space Homogeneous Multispecies Landau Equation.- A Note on the Central-Upwind Scheme for Nonlocal Conservation Laws.- Controlling a Semiclassical Boltzmann Equation for Charge Transport in Graphene Nanoribbons.- Control Strategies for Magnetized Plasma: A Polar Coordinates Framework.- Control of Kinetic Opinion Dynamics in Popularity-Adaptive Social Networks.- Investigating the Spatial Patterning of Bacterial Colonisation on Leaf Surfaces.- A robust fully-mixed finite element method with skew-symmetry penalization for low-frequency poroelasticity.

Über Autor(innen)

Giulia Bertaglia is Assistant Professor of Numerical Analysis at the University of Ferrara. Her research focuses mainly on the development of numerical methods for multiscale hyperbolic systems and kinetic equations, with particular interest toward applications in biomathematics and fluid dynamics. She is an appointed member of the European Mathematical Society Young Academy (2025-2028) and recipient of the 2025 SIMAI Fausto Saleri Prize.

Elisa Iacomini is Assistant Professor of Numerical Analysis at the University of Ferrara. She obtained her PhD at La Sapienza University of Rome and held postdoctoral positions at the University of Mannheim and RWTH Aachen University. Her research focuses on hyperbolic conservation laws, uncertainty quantification and inverse problems, with applications in vehicular traffic, opinion dynamics and epidemiology.