Fajie Wang, Ji Lin
ISBNs: 3036582843, 978-3036582849, 9783036582849
English | 2023 | Original PDF | 420 Pages
The present book contains the 20 articles accepted and published in
the Special Issue "Computational Methods and Applications for Numerical
Analysis" of the MDPI "Mathematics" journal, which surround the
theory, algorithms, programming, software, numerical simulation, and/or
novel applications of computational methods to solve problems in
engineering, science, and other disciplines related to computations.
These topics include finite element methods, finite difference methods,
meshless/meshfree methods, physics-informed neural networks,
interpolation, approximation, optimization, numerical methods for
ordinary/partial differential equations, etc. Their applications
include crack propagation, acoustic analysis, elastodynamic analysis,
free vibration analysis, structure and topology optimization,
fractional equations, eigenvalue problems, inverse problems, etc.
Numerical
analysis is an increasingly important link between pure mathematics
and its application in science and technology. It is hoped that the
book will be interesting and useful for those working in the area of
numerical analysis, as well as for those with a proper mathematical
background and willing to become familiar with novel applications of
computational techniques, which have rapidly developed nowadays.