| 1. | Typically, a modified Newton's method is used to solve these nonlinear equations.
|
| 2. | Nonlinear equations model the dependence of phase velocity on amplitude, replacing by.
|
| 3. | Gradient descent can also be used to solve a system of nonlinear equations.
|
| 4. | For a description of linear and nonlinear equations, see " linear equation ".
|
| 5. | A system of coupled nonlinear equations can be solved iteratively by Newton's method.
|
| 6. | Linear differential equations frequently appear as approximations to nonlinear equations.
|
| 7. | These nonlinear equations must be solved numerically with the appropriate boundary and initial conditions.
|
| 8. | Iterative methods are often the only choice for nonlinear equations.
|
| 9. | These nonlinear equations describe the classical wave limit of a system of interacting identical particles.
|
| 10. | This nonlinear equation has some rich properties, especially in terms of existence of unique solutions.
|
