Advanced Differential Quadrature Methods (Chapman & Hall/CRC Applied Mathematics & Nonlinear Science) 1st Edition by Zhi Zong (PDF)

Description

Modern Tools to Perform Numerical DifferentiationThe 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 Runge–Kutta method, complex analysis, and more. The final chapter contains three codes written in the FORTRAN language, enabling readers to quickly acquire hands-on experience with DQ methods.Focusing on leading-edge DQ methods, this book helps readers understand the majority of journal papers on the subject. In addition to gaining insight into the dynamic changes that have recently occurred in the field, readers will quickly master the use of DQ methods to solve complex problems.

User’s Reviews

Reviews from Amazon users which were colected at the time this book was published on the website:

⭐The book was very interesting for me as my PhD thesis are connected with differential quadrature (DQ). It contains quite new informations about improveing of the DQM. It base on authors articles from several last years. The negative is that the articles are shorten, so sometimes you have to look for them in the publication data base to find details. Sometimes it is not so clear explain from where the autors obtain there formulas [there should be more references to literature] – sometimes it is possible to find theorems that fit even beter to the subject. Anyway I am very happy to have this book as it gives me a lot handy informations about directions of the DQ idea develop.

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