Computational Methods and Applications for Numerical Analysis

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.