Numerical Methods For Nonlinear Engineering Models

Dynamic Substructuring is a method that combines models for the various parts of a structure to estimate the dynamic response or other properties of the assembled structure. The substructure models may be analytical models such as finite element models, or they may be derived from measurements.

Mathematical models of various natural processes are described by differential equations, systems of partial differential equations and integral equations. In most cases, the exact solution to such problems cannot be determined; therefore, one has to use grid methods to calculate an approximate solution using high-performance computing systems. These methods include the finite element method, the finite difference method, the finite volume method and combined methods. In this Special Issue, we bring to your attention works on theoretical studies of grid methods for approximation, stability and convergence, as well as the results of numerical experiments confirming the effectiveness of the developed methods.

This book collects research papers from leading world experts in the field, highlighting ongoing trends, progress, and open problems in this critically important area of mathematics.