An efficient algorithm for the determination of certain bifurcation points

Journal of Computational and Applied Mathematics

Volumn 4, Issue 1, 1978, Pages 19-27

  Abbott, James P ^a  

^a UNIVERSITY OF CAMBRIDGE   (United Kingdom)

Author keywords

[No Author keywords available]

Indexed keywords

EID: 0001795886     PISSN: 0771050X     EISSN: None     Source Type: Journal    
DOI: 10.1016/0771-050X(78)90015-3     Document Type: Article

References (24)

1. Methods for finding several solutions of simultaneous nonlinear equations
2. An extension of the Newton-Kantorovich method for solving nonlinear equations with application to elasticity
3. Axisymmetric buckling of hollow spheres and hemispheres
4. Some efficient algorithms for solving systems of nonlinear equations
5. A quadratically convergent Newton-like method based on Gaussian elimination
6. Bifurcation from simple eigenvalues
7. The solution of nonlinear operator equations with critical points
8. Analysis of geometrically nonlinear and stability problems by static perturbation method
9. On the nonunique equilibrium states and buckling mechanism of spherical shells
10. Iterations, perturbations and multiplicities for nonlinear bifurcation problems
11. Numerical comparison of three nonlinear equation solvers
12. The numerical solution of eigenvalue problems in which the eigenvalue appears nonlinearly with an application to differential equations
13. A new method for the solution of eigenvalue problems
14. Numerical methods for hydrodynamic stability problems
15. Solution of sparse indefinite systems of equations and least squares problems
16. Numerical continuation methods for finite element applications
17. Algorithms for the nonlinear eigenvalue problem
18. The application of Newton's method to the problem of elastic stability
19. A method for the numerical determination of bifurcation states of nonlinear systems of equations
20. Dependence of solution of nonlinear systems on a parameter