Matches in SemOpenAlex for { <https://semopenalex.org/work/W1997388289> ?p ?o ?g. }
Showing items 1 to 100 of
100
with 100 items per page.
- W1997388289 endingPage "234" @default.
- W1997388289 startingPage "228" @default.
- W1997388289 abstract "A new family of numerical integration formula is presented, which uses the function evaluation at the midpoint of the interval and odd derivatives at the endpoints. Because the weights for the odd derivatives sum to zero, the derivative calculations cancel out for the interior points in the composite form, so that these derivatives must only be calculated at the endpoints of the overall interval of integration. When using N subintervals, the basic rule which uses the midpoint function evaluation and the first derivative at the endpoints achieves fourth order accuracy for the cost of N/2 function evaluations and 2 derivative evaluations, whereas the three point open Newton-Cotes method uses 3N/4 function evaluations to achieve the same order of accuracy. These derivative-based midpoint quadrature methods are shown to be more computationally efficient than both the open and closed Newton-Cotes quadrature rules of the same order. This family of derivative-based midpoint quadrature rules are derived using the concept of precision, along with the error term. A theorem concerning the order of accuracy of quadrature rule using the concept of precision is provided to justify its use to determine the leading order error term." @default.
- W1997388289 created "2016-06-24" @default.
- W1997388289 creator A5004666469 @default.
- W1997388289 creator A5022308777 @default.
- W1997388289 date "2013-01-01" @default.
- W1997388289 modified "2023-09-27" @default.
- W1997388289 title "Derivative-Based Midpoint Quadrature Rule" @default.
- W1997388289 cites W1984127883 @default.
- W1997388289 cites W1987077436 @default.
- W1997388289 cites W2002600311 @default.
- W1997388289 cites W2005876858 @default.
- W1997388289 cites W2059654265 @default.
- W1997388289 cites W2062026850 @default.
- W1997388289 cites W2071544712 @default.
- W1997388289 cites W2072187996 @default.
- W1997388289 cites W4234588361 @default.
- W1997388289 doi "https://doi.org/10.4236/am.2013.41a035" @default.
- W1997388289 hasPublicationYear "2013" @default.
- W1997388289 type Work @default.
- W1997388289 sameAs 1997388289 @default.
- W1997388289 citedByCount "7" @default.
- W1997388289 countsByYear W19973882892014 @default.
- W1997388289 countsByYear W19973882892018 @default.
- W1997388289 countsByYear W19973882892022 @default.
- W1997388289 countsByYear W19973882892023 @default.
- W1997388289 crossrefType "journal-article" @default.
- W1997388289 hasAuthorship W1997388289A5004666469 @default.
- W1997388289 hasAuthorship W1997388289A5022308777 @default.
- W1997388289 hasBestOaLocation W19973882891 @default.
- W1997388289 hasConcept C106159729 @default.
- W1997388289 hasConcept C111771559 @default.
- W1997388289 hasConcept C11413529 @default.
- W1997388289 hasConcept C120665830 @default.
- W1997388289 hasConcept C121332964 @default.
- W1997388289 hasConcept C127349201 @default.
- W1997388289 hasConcept C134306372 @default.
- W1997388289 hasConcept C14036430 @default.
- W1997388289 hasConcept C14103991 @default.
- W1997388289 hasConcept C162046254 @default.
- W1997388289 hasConcept C162324750 @default.
- W1997388289 hasConcept C167196314 @default.
- W1997388289 hasConcept C172657837 @default.
- W1997388289 hasConcept C182310444 @default.
- W1997388289 hasConcept C2524010 @default.
- W1997388289 hasConcept C28826006 @default.
- W1997388289 hasConcept C33257320 @default.
- W1997388289 hasConcept C33923547 @default.
- W1997388289 hasConcept C34130140 @default.
- W1997388289 hasConcept C48265008 @default.
- W1997388289 hasConcept C54691486 @default.
- W1997388289 hasConcept C62869609 @default.
- W1997388289 hasConcept C78458016 @default.
- W1997388289 hasConcept C85807060 @default.
- W1997388289 hasConcept C86803240 @default.
- W1997388289 hasConceptScore W1997388289C106159729 @default.
- W1997388289 hasConceptScore W1997388289C111771559 @default.
- W1997388289 hasConceptScore W1997388289C11413529 @default.
- W1997388289 hasConceptScore W1997388289C120665830 @default.
- W1997388289 hasConceptScore W1997388289C121332964 @default.
- W1997388289 hasConceptScore W1997388289C127349201 @default.
- W1997388289 hasConceptScore W1997388289C134306372 @default.
- W1997388289 hasConceptScore W1997388289C14036430 @default.
- W1997388289 hasConceptScore W1997388289C14103991 @default.
- W1997388289 hasConceptScore W1997388289C162046254 @default.
- W1997388289 hasConceptScore W1997388289C162324750 @default.
- W1997388289 hasConceptScore W1997388289C167196314 @default.
- W1997388289 hasConceptScore W1997388289C172657837 @default.
- W1997388289 hasConceptScore W1997388289C182310444 @default.
- W1997388289 hasConceptScore W1997388289C2524010 @default.
- W1997388289 hasConceptScore W1997388289C28826006 @default.
- W1997388289 hasConceptScore W1997388289C33257320 @default.
- W1997388289 hasConceptScore W1997388289C33923547 @default.
- W1997388289 hasConceptScore W1997388289C34130140 @default.
- W1997388289 hasConceptScore W1997388289C48265008 @default.
- W1997388289 hasConceptScore W1997388289C54691486 @default.
- W1997388289 hasConceptScore W1997388289C62869609 @default.
- W1997388289 hasConceptScore W1997388289C78458016 @default.
- W1997388289 hasConceptScore W1997388289C85807060 @default.
- W1997388289 hasConceptScore W1997388289C86803240 @default.
- W1997388289 hasIssue "01" @default.
- W1997388289 hasLocation W19973882891 @default.
- W1997388289 hasOpenAccess W1997388289 @default.
- W1997388289 hasPrimaryLocation W19973882891 @default.
- W1997388289 hasRelatedWork W1997388289 @default.
- W1997388289 hasRelatedWork W2027038046 @default.
- W1997388289 hasRelatedWork W2095886698 @default.
- W1997388289 hasRelatedWork W255197503 @default.
- W1997388289 hasRelatedWork W2963494703 @default.
- W1997388289 hasRelatedWork W3044573793 @default.
- W1997388289 hasRelatedWork W3154913590 @default.
- W1997388289 hasRelatedWork W4206346184 @default.
- W1997388289 hasRelatedWork W4294281846 @default.
- W1997388289 hasRelatedWork W4377005030 @default.
- W1997388289 hasVolume "04" @default.
- W1997388289 isParatext "false" @default.
- W1997388289 isRetracted "false" @default.
- W1997388289 magId "1997388289" @default.
- W1997388289 workType "article" @default.