Description
Book SynopsisModern Tools to Perform Numerical Differentiation
The original direct differential quadrature (DQ) method has been known to fail for problems with strong nonlinearity and material discontinuity as well as for problems involving singularity, irregularity, and multiple scales. But now researchers in applied mathematics, computational mechanics, and engineering have developed a range of innovative DQ-based methods to overcome these shortcomings. Advanced Differential Quadrature Methods explores new DQ methods and uses these methods to solve problems beyond the capabilities of the direct DQ method.
After a basic introduction to the direct DQ method, the book presents a number of DQ methods, including complex DQ, triangular DQ, multi-scale DQ, variable order DQ, multi-domain DQ, and localized DQ. It also provides a mathematical compendium that summarizes Gauss elimination, the RungeKutta method, complex analysis, and more. The fi
Table of Contents
Approximation and Differential Quadrature. Complex Differential Quadrature Method. Triangular Differential Quadrature Method. Multiple Scale Differential Quadrature Method. Variable Order Differential Quadrature Method. Multi-Domain Differential Quadrature Method. Localized Differential Quadrature Method. Codes. Mathematical Compendium. Codes. References. Index.
