Reducing the computational requirements of the differential quadrature method
Copyright policy )Reducing the computational requirements of the differential quadrature method
This paper shows that the weighting coefficient matrices of the differential quadrature method (DQM) are centrosymmetric or skew-centrosymmetric if the grid spacings are symmetric irrespective of whether they are equal or unequal. A new skew centrosymmetric matrix is also discussed. The application of the properties of centrosymmetric and skew centrosymmetric matrix can reduce the computational effort of the DQM for calculations of the inverse, determinant, eigenvectors and eigenvalues by 75%. This computational advantage are also demonstrated via several numerical examples.
- Shanghai Jiao Tong University China (People's Republic of)
- Nanjing University of Aeronautics and Astronautics China (People's Republic of)
Numerical computation of eigenvalues and eigenvectors of matrices, Computational Geometry (cs.CG), FOS: Computer and information sciences, G1.3, G1.8, numerical examples, skew centrosymmetric matrices, inverse, eigenvectors, Direct numerical methods for linear systems and matrix inversion, determinant, Numerical computation of determinants, Computational Engineering, Finance, and Science (cs.CE), eigenvalue, Computer Science - Computational Geometry, Spectral, collocation and related methods for boundary value problems involving PDEs, Computer Science - Computational Engineering, Finance, and Science, differential quadrature method
Numerical computation of eigenvalues and eigenvectors of matrices, Computational Geometry (cs.CG), FOS: Computer and information sciences, G1.3, G1.8, numerical examples, skew centrosymmetric matrices, inverse, eigenvectors, Direct numerical methods for linear systems and matrix inversion, determinant, Numerical computation of determinants, Computational Engineering, Finance, and Science (cs.CE), eigenvalue, Computer Science - Computational Geometry, Spectral, collocation and related methods for boundary value problems involving PDEs, Computer Science - Computational Engineering, Finance, and Science, differential quadrature method
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