Name
Title | ||
|---|---|---|
Implementation issues in solving nonlinear equations for two-point boundary value problems. |
Abstract | ||
|---|---|---|
Complex numerical methods often contain subproblems that are easy to state in mathematical form, but difficult to translate into software. Several algorithmic isues of this nature arise in implementing a Newton iteration scheme as part of a finite-difference method for two-point boundary value problems. We describe the practical as well as theoretical considerations behind the decisions included in the final code, with special emphasis on two “watchdog” strategies designed to improve reliability and allow early termination of the Newton iterates. |
Year | DOI | Venue |
|---|---|---|
1990 | 10.1007/BF02250582 | Computing |
Keywords | Field | DocType |
two-point boundary value problem,boundary value problems,watchdog strategy,implementation issue,merit functions,nonlinear algebraic equations,nonlinear equation,mathematical software | Boundary value problem,Differential equation,Mathematical optimization,Nonlinear system,Mathematical analysis,Software,Mathematical software,Numerical analysis,Iterated function,Calculus,Mathematics,Newton's method | Journal |
Volume | Issue | ISSN |
45 | 1 | 0010-485X |
Citations | PageRank | References |
6 | 0.93 | 4 |
Authors | ||
2 | ||
Name | Order | Citations | PageRank |
|---|---|---|---|
| J. R. Cash | 1 | 109 | 27.38 |
| Margaret H. Wright | 2 | 1233 | 182.31 |