A kind of arc-length method for ordinary differential equations

Communications in Nonlinear Science and Numerical Simulation

Volumn 2, Issue 3, 1997, Pages 145-150

  Wu, Jike ^a   Hui, Grafton W H ^b   Ding, Hongli ^a  

^a PEKING UNIVERSITY   (China)

^b HONG KONG UNIVERSITY OF SCIENCE AND TECHNOLOGY   (Hong Kong)

Author keywords

Arc length Method; Burger's Equation; Numerical Method; Ordinary Differential Equations; Stiff Equation

Indexed keywords

MATHEMATICAL TRANSFORMATIONS; PARAMETER ESTIMATION; PROBLEM SOLVING; STIFFNESS;

ARC-LENGTH METHOD; DISCRETIZATION; SINGULARITIES; VARIABLE TRANSFORMATION;

ORDINARY DIFFERENTIAL EQUATIONS;

MATHEMATICAL ANALYSIS;

EID: 16844377519     PISSN: 10075704     EISSN: None     Source Type: Journal    
DOI: 10.1016/S1007-5704(97)90017-4     Document Type: Article

References (6)

1. Riks,E. An incremental approach to the solution of snapping and buckling problems, Int. J. Solid Structures, Vol. 15, 529-551, 1979.
2. Su, Xianyue, Doctoral thesis, Peking University, 1985.
3. Wu, Jike et al. Numerical computation for high dimension Hopf bifurcation, Acta Scientiarum Naturalium Universitatis Pekinensis, Vol. 29.No 5, 1993.
4. Hui, W. H., Generalized Lagrangian Formulation of Computational Fluid Dynamics, Computational Fluid Dynamics Review, 1995, Wiley, Edited by M. Hafez and K. Oshima.
5. E.Hairer et al. Solving ordinary differential equations II, Stiff and differential-algebraic problems, Springer-Verlag, 1991.
6. C. W. Schulz-Rinne, The Riemann problem for two-dimensional gas dynamics and new limiters for high-order schemes, A dissertation submitted to the Swiss Federal Institute of Technology Zurich, 1993.