Continuation techniques and bifurcation problems / edited by Hans D. Mittelmann, Dirk Roose.
The analysis of parameter-dependent nonlinear has received much attention in recent years. Numerical continuation techniques allow the efficient computation of solution branches in a one-parameter problem. In many cases continuation procedures are used as part of a more complete analysis of a nonlin...
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| Online Access: |
Full Text (via Springer) |
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| Other Authors: | , |
| Format: | eBook |
| Language: | English |
| Published: |
Basel ; Boston :
Birkhäuser Verlag,
1990.
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| Series: | International series of numerical mathematics ;
v. 92. |
| Subjects: |
Table of Contents:
- Large sparse continuation problems
- Continuation for parametrized nonlinear variational inequalities
- A multi-grid continuation strategy for parameter-dependent variational inequalities
- Continuation methods in semiconductor device simulation
- Stepsize selection in continuation procedures and damped Newton's method
- Symmetry breaking and semilinear elliptic equations
- Computational methods for bifurcation problems with symmetries
- with special attention to steady state and Hopf bifurcation points
- A note on the calculation of paths of Hopf bifurcations
- Computation of cusp singularities for operator equations and their discretizations
- Numerical computation of heteroclinic orbits
- Interaction between fold and Hopf curves leads to new bifurcation phenomena
- Bi-periodicity in an isothermal autocatalytic reaction-diffusion system
- Generic one-parameter bifurcations in the motion of a simple robot.