Matches in SemOpenAlex for { <https://semopenalex.org/work/W3046542726> ?p ?o ?g. }
Showing items 1 to 90 of
90
with 100 items per page.
- W3046542726 endingPage "723" @default.
- W3046542726 startingPage "695" @default.
- W3046542726 abstract "Variable order Adams–Bashforth predictors with an error-stepsize control are developed and used for a class of predictor-corrector continuation methods which trace solution paths of an underdetermined nonlinear system $F(w) = 0$, where $F:mathbb{R}^{n + 1} to mathbb{R}^n $. The predictor method developed here employs consecutive order Adams–Bashforth predictors to determine the stepsize by estimating the local truncation error in the lower order formula, a comparison of three consecutive order methods to choose the order that yields the largest stepsize, and local extrapolation to improve accuracy. Unlike many differential equation algorithms, the stepsize is changed at each step to give more uniformity in the predictor error and the global error is controlled at each step through the use of a Newton-like correction back to the path after each prediction. The philosophy of following the path closely with only one or two corrections per step is shown to yield an efficient and robust algorithm which is fairly insensitive to parameter settings. The key to the success and robustness of these multistep predictors is the approximation of arclength along the path at an accuracy commensurate with that of the tangents to the path, which is achieved by a local parameterization suggested by the corrector equations. To demonstrate the efficiency and robustness of the resulting continuation algorithm, several numerical comparisons are made with state-of-the-art software packages HOMPACK and PITCON." @default.
- W3046542726 created "2020-08-07" @default.
- W3046542726 creator A5010618997 @default.
- W3046542726 creator A5039701370 @default.
- W3046542726 date "1991-01-01" @default.
- W3046542726 modified "2023-09-26" @default.
- W3046542726 title "Variable Order Adams-Bashforth Predictors with an Error-Stepsize Control for Continuation Methods." @default.
- W3046542726 hasPublicationYear "1991" @default.
- W3046542726 type Work @default.
- W3046542726 sameAs 3046542726 @default.
- W3046542726 citedByCount "0" @default.
- W3046542726 crossrefType "journal-article" @default.
- W3046542726 hasAuthorship W3046542726A5010618997 @default.
- W3046542726 hasAuthorship W3046542726A5039701370 @default.
- W3046542726 hasConcept C104317684 @default.
- W3046542726 hasConcept C11413529 @default.
- W3046542726 hasConcept C121332964 @default.
- W3046542726 hasConcept C132459708 @default.
- W3046542726 hasConcept C134306372 @default.
- W3046542726 hasConcept C157977623 @default.
- W3046542726 hasConcept C158622935 @default.
- W3046542726 hasConcept C182365436 @default.
- W3046542726 hasConcept C185592680 @default.
- W3046542726 hasConcept C186219872 @default.
- W3046542726 hasConcept C199360897 @default.
- W3046542726 hasConcept C28826006 @default.
- W3046542726 hasConcept C33923547 @default.
- W3046542726 hasConcept C41008148 @default.
- W3046542726 hasConcept C48077252 @default.
- W3046542726 hasConcept C48753275 @default.
- W3046542726 hasConcept C51544822 @default.
- W3046542726 hasConcept C55493867 @default.
- W3046542726 hasConcept C62520636 @default.
- W3046542726 hasConcept C63479239 @default.
- W3046542726 hasConcept C65889100 @default.
- W3046542726 hasConcept C78045399 @default.
- W3046542726 hasConcept C88626702 @default.
- W3046542726 hasConceptScore W3046542726C104317684 @default.
- W3046542726 hasConceptScore W3046542726C11413529 @default.
- W3046542726 hasConceptScore W3046542726C121332964 @default.
- W3046542726 hasConceptScore W3046542726C132459708 @default.
- W3046542726 hasConceptScore W3046542726C134306372 @default.
- W3046542726 hasConceptScore W3046542726C157977623 @default.
- W3046542726 hasConceptScore W3046542726C158622935 @default.
- W3046542726 hasConceptScore W3046542726C182365436 @default.
- W3046542726 hasConceptScore W3046542726C185592680 @default.
- W3046542726 hasConceptScore W3046542726C186219872 @default.
- W3046542726 hasConceptScore W3046542726C199360897 @default.
- W3046542726 hasConceptScore W3046542726C28826006 @default.
- W3046542726 hasConceptScore W3046542726C33923547 @default.
- W3046542726 hasConceptScore W3046542726C41008148 @default.
- W3046542726 hasConceptScore W3046542726C48077252 @default.
- W3046542726 hasConceptScore W3046542726C48753275 @default.
- W3046542726 hasConceptScore W3046542726C51544822 @default.
- W3046542726 hasConceptScore W3046542726C55493867 @default.
- W3046542726 hasConceptScore W3046542726C62520636 @default.
- W3046542726 hasConceptScore W3046542726C63479239 @default.
- W3046542726 hasConceptScore W3046542726C65889100 @default.
- W3046542726 hasConceptScore W3046542726C78045399 @default.
- W3046542726 hasConceptScore W3046542726C88626702 @default.
- W3046542726 hasLocation W30465427261 @default.
- W3046542726 hasOpenAccess W3046542726 @default.
- W3046542726 hasPrimaryLocation W30465427261 @default.
- W3046542726 hasRelatedWork W1487122851 @default.
- W3046542726 hasRelatedWork W1529000450 @default.
- W3046542726 hasRelatedWork W1535971250 @default.
- W3046542726 hasRelatedWork W1562505150 @default.
- W3046542726 hasRelatedWork W1986778342 @default.
- W3046542726 hasRelatedWork W1991254339 @default.
- W3046542726 hasRelatedWork W2042017583 @default.
- W3046542726 hasRelatedWork W2065784942 @default.
- W3046542726 hasRelatedWork W2080698039 @default.
- W3046542726 hasRelatedWork W2088012285 @default.
- W3046542726 hasRelatedWork W2110256724 @default.
- W3046542726 hasRelatedWork W2219296601 @default.
- W3046542726 hasRelatedWork W2295678454 @default.
- W3046542726 hasRelatedWork W2324267794 @default.
- W3046542726 hasRelatedWork W2391064146 @default.
- W3046542726 hasRelatedWork W2417476906 @default.
- W3046542726 hasRelatedWork W2650588483 @default.
- W3046542726 hasRelatedWork W2991443085 @default.
- W3046542726 hasRelatedWork W65506939 @default.
- W3046542726 hasRelatedWork W70764182 @default.
- W3046542726 hasVolume "12" @default.
- W3046542726 isParatext "false" @default.
- W3046542726 isRetracted "false" @default.
- W3046542726 magId "3046542726" @default.
- W3046542726 workType "article" @default.