1996/01/01 by Charles W. Bert, Moinuddin Malik · 10 citations
Engineering · Mathematics · #Advanced Numerical Methods in Computational Mathematics #Applied mathematics #Boundary element method #Boundary value problem #Clenshaw–Curtis quadrature #Composite Structure Analysis and Optimization #Computational mechanics #Computer science #Engineering #Finite difference method #Finite element method #Gaussian quadrature #Gauss–Jacobi quadrature #Gauss–Kronrod quadrature formula #Gauss–Laguerre quadrature #Mathematical analysis #Mathematics #Numerical analysis #Numerical integration #Numerical methods in engineering #Nyström method #Physics #Quadrature (astronomy) #Structural engineering #Tanh-sinh quadrature
paper · doi:10.1115/1.3101882
openalex publication_date 1996/01/01 · openalex created_date 2025/10/10 · openalex updated_date 2026/08/03
The differential quadrature method is a numerical solution technique for initial and/or boundary problems. It was developed by the late Richard Bellman and his associates in the early 70s and, since then, the technique has been successfully employed in a variety of problems in engineering and physical sciences. The method has been projected by its proponents as a potential alternative to the conventional numerical solution techniques such as the finite difference and finite element methods. This paper presents a state-of-the-art review of the differential quadrature method, which should be of general interest to the computational mechanics community.