Solving initial value problems by differential quadrature method-part 2: Second- and higher-order equations

International Journal for Numerical Methods in Engineering

Volumn 50, Issue 6, 2001, Pages 1429-1454

  Fung, T C ^a  

^a NANYANG TECHNOLOGICAL UNIVERSITY   (Singapore)

Author keywords

Controllable numerical damping; Higher order accurate single step time marching algorithms; Non linear dynamic response analysis; Non linear ODE solver

Indexed keywords

ALGORITHMS; DEGREES OF FREEDOM (MECHANICS); DIFFERENTIAL EQUATIONS; INTEGRATION; PROBLEM SOLVING; SAMPLING;

DIFFERENTIAL QUADRATURE;

INITIAL VALUE PROBLEMS;

MATHEMATICAL METHOD;

EID: 0035961280     PISSN: 00295981     EISSN: None     Source Type: Journal    
DOI: 10.1002/1097-0207(20010228)50:6<1429::AID-NME79>3.0.CO;2-A     Document Type: Article

References (19)

1. Differential quadrature method in computational mechanics: A review
2. Differential quadrature and long-term integration
3. Two new approximate methods for analysing free vibration of structural components
4. Application of differential quadrature to static analysis of structural components
5. A new approach in applying differential quadrature to static and free vibrational analysis of beams and plates
6. Differential quadrature analysis of deflection, buckling, and free vibration of beams and rectangular plates
7. Implementing multiple boundary conditions in the DQ solution of higher-order PDE's: Application to free vibration of plates
8. Generalized approach for implementing general boundary conditions in the GDQ free vibration analysis of plates
9. A new approach to the differential quadrature method for fourth-order equations
10. Static analysis of frame structures by the differential quadrature element method
11. Complex-time-step Newmark methods with controllable numerical dissipation
12. Higher order time step integration methods with complex-time-step
13. Weighting parameters for unconditionally stable higher-order accurate time step integration algorithms Part 2. Second order equations
14. Third order Newmark methods with controllable numerical dissipation