Advanced Differential Quadrature Methods (chapman & Hall/crc Applied Mathematics & Nonlinear Science)
by Zhi Zong /
2009 / English / PDF
6.1 MB Download
Modern Tools to Perform Numerical
Differentiation
Modern 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.
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
Advanced Differential Quadrature
Methods explores new DQ methods and uses these methods
to solve problems beyond the capabilities of the direct DQ
method.
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.
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.
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.