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Advances in Numerical Methods for Hyperbolic Balance Laws and Related Problems
Authors: --- ---
ISBN: 3031298756 3031298748 Year: 2023 Publisher: Cham : Springer Nature Switzerland : Imprint: Springer,

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Abstract

A broad range of phenomena in science and technology can be described by non-linear partial differential equations characterized by systems of conservation laws with source terms. Well known examples are hyperbolic systems with source terms, kinetic equations, and convection-reaction-diffusion equations. This book collects research advances in numerical methods for hyperbolic balance laws and kinetic equations together with related modelling aspects. All the contributions are based on the talks of the speakers of the Young Researchers’ Conference “Numerical Aspects of Hyperbolic Balance Laws and Related Problems”, hosted at the University of Verona, Italy, in December 2021.


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Advances in Numerical Methods for Hyperbolic Balance Laws and Related Problems
Authors: --- ---
ISBN: 9783031298752 9783031298745 9783031298769 9783031298776 3031298756 Year: 2023 Publisher: Cham : Springer Nature Switzerland : Imprint: Springer,

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Abstract

A broad range of phenomena in science and technology can be described by non-linear partial differential equations characterized by systems of conservation laws with source terms. Well known examples are hyperbolic systems with source terms, kinetic equations, and convection-reaction-diffusion equations. This book collects research advances in numerical methods for hyperbolic balance laws and kinetic equations together with related modelling aspects. All the contributions are based on the talks of the speakers of the Young Researchers’ Conference “Numerical Aspects of Hyperbolic Balance Laws and Related Problems”, hosted at the University of Verona, Italy, in December 2021.


Multi
Trails in Kinetic Theory
Authors: --- --- --- ---
ISBN: 9783030671044 9783030671051 9783030671068 9783030671037 Year: 2021 Publisher: Cham Springer International Publishing :Imprint: Springer

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In recent decades, kinetic theory - originally developed as a field of mathematical physics - has emerged as one of the most prominent fields of modern mathematics. In recent years, there has been an explosion of applications of kinetic theory to other areas of research, such as biology and social sciences. This book collects lecture notes and recent advances in the field of kinetic theory of lecturers and speakers of the School "Trails in Kinetic Theory: Foundational Aspects and Numerical Methods", hosted at Hausdorff Institute for Mathematics (HIM) of Bonn, Germany, 2019, during the Junior Trimester Program "Kinetic Theory". Focusing on fundamental questions in both theoretical and numerical aspects, it also presents a broad view of related problems in socioeconomic sciences, pedestrian dynamics and traffic flow management.

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