Efficient differences for parameter-dependent singularities in two-point boundary value problems

Computer Methods in Applied Mechanics and Engineering

Volumn 190, Issue 42, 2001, Pages 5543-5549

  Attili, Basem S ^a  

^a KING FAHD UNIVERSITY OF PETROLEUM AND MINERALS   (Saudi Arabia)

Author keywords

Block elimination; Cusps; Finite differences; Turning points

Indexed keywords

BLOCK ELIMINATION; RICHARDSON EXTRAPOLATION;

ALGORITHMS; BIFURCATION (MATHEMATICS); DIFFERENTIAL EQUATIONS; EXTRAPOLATION; FINITE DIFFERENCE METHOD;

BOUNDARY VALUE PROBLEMS;

EQUATION; FINITE DIFFERENCE TECHNIQUE;

EID: 0035800454     PISSN: 00457825     EISSN: None     Source Type: Journal    
DOI: 10.1016/S0045-7825(01)00182-7     Document Type: Article

References (12)

1. Computation of generalized turning points using collocation at Gauss points
2. Numerical computation of symmetry breaking bifurcation points
3. A direct method for the characterization and computation of bifurcation points with corank 2
4. Asymptotic expansions for the extended systems used in the calculations of some singularities in B. V. P's
5. Deflation techniques and block elimination algorithms for solving bordered singular systems
6. Characterization and computation of generalized turning points
7. Numerical solution of bifurcation and nonlinear eigenvalue problems
8. The bordering algorithm and path following near singular points of higher nullity
9. Nonsimple turning points and cusps
10. Branching solutions of nonlinear equations
11. Numerical treatment of bifurcation problems for ordinary differential equations