Mathematical and Computational Methods for Modelling, Approximation and Simulation

The book discusses three different problems: reduction of Runge and Gibbs phenomena, difficulties arising when studying models that depend on the highly nonlinear behaviour of a system of PDEs, and data fitting with truncated hierarchical B-splines for the adaptive reconstruction of industrial models. It includes nine contributions, mostly related to quasi-interpolation, a topic of high interest in approximation theory and practical applications. Two chapters address the construction of quasi-interpolants, and three others focus on the use of quasi-interpolation in solving integral equations. The remaining four concern a problem related to the heat diffusion equation, new results on convexity in probabilistic metric spaces, the use of smoothing splines to address an economic problem, and the analysis of poverty measures. The book is addressed to researchers interested in Applied Mathematics, with particular reference to the aforementioned topics.

Format: Hardback
Length: 256 pages
Publication date: 09 May 2022
Publisher: Springer Nature Switzerland AG

This comprehensive book presents a collection of plenary lectures delivered at the International Conference on Mathematical and Computational Modeling, Approximation and Simulation. The conference focused on three diverse topics: the reduction of Runge and Gibbs phenomena, the challenges associated with studying models influenced by the highly nonlinear behavior of systems of partial differential equations (PDEs), and the application of truncated hierarchical B-splines for adaptive reconstruction of industrial models.

The book comprises nine insightful contributions, primarily centered around quasi-interpolation. This field continues to captivate the attention of scholars in approximation theory and those seeking its practical applications. Two chapters delve into the construction of quasi-interpolants, while three others explore the use of quasi-interpolation in solving integral equations. The remaining four chapters address a problem related to the heat diffusion equation, present novel results on the concept of convexity in probabilistic metric spaces (which are applied to the study of the existence and uniqueness of solutions for Volterra equations), demonstrate the application of smoothing splines to address an economic problem, and lastly, analyze poverty measures, a topic of growing societal interest.

This book is specifically designed for researchers with a keen interest in Applied Mathematics, particularly in the aforementioned areas of focus. The comprehensive nature of the content makes it an invaluable resource for scholars, researchers, and practitioners seeking to advance their knowledge and understanding in these interdisciplinary domains.

Weight: 576g
Dimension: 235 x 155 (mm)
ISBN-13: 9783030943387
Edition number: 1st ed. 2022