FRINK Linked Data Fragments server

Matches in SemOpenAlex for { <https://semopenalex.org/work/W2017517745> ?p ?o ?g. }

• W2017517745 abstract "This report describes LIP, the Livermore Interpolation Package. Because LIP is a stand-alone version of the interpolation package in the Livermore Equation of State (LEOS) access library, the initials LIP alternatively stand for the 'LEOS Interpolation Package'. LIP was totally rewritten from the package described in [1]. In particular, the independent variables are now referred to as x and y, since the package need not be restricted to equation of state data, which uses variables {rho} (density) and T (temperature). LIP is primarily concerned with the interpolation of two-dimensional data on a rectangular mesh. The interpolation methods provided include piecewise bilinear, reduced (12-term) bicubic, and bicubic Hermite (biherm). There is a monotonicity-preserving variant of the latter, known as bimond. For historical reasons, there is also a biquadratic interpolator, but this option is not recommended for general use. A birational method was added at version 1.3. In addition to direct interpolation of two-dimensional data, LIP includes a facility for inverse interpolation (at present, only in the second independent variable). For completeness, however, the package also supports a compatible one-dimensional interpolation capability. Parametric interpolation of points on a two-dimensional curve can be accomplished by treating the components as a pair of one-dimensional functions with a common independent variable. LIP has an object-oriented design, but it is implemented in ANSI Standard C for efficiency and compatibility with existing applications. First, a 'LIP interpolation object' is created and initialized with the data to be interpolated. Then the interpolation coefficients for the selected method are computed and added to the object. Since version 1.1, LIP has options to instead estimate derivative values or merely store data in the object. (These are referred to as 'partial setup' options.) It is then possible to pass the object to functions that interpolate or invert the interpolant at an arbitrary number of points. The first section of this report describes the overall design of the package, including both forward and inverse interpolation. Sections 2-6 describe each interpolation method in detail. The software that implements this design is summarized function-by-function in Section 7. For a complete example of package usage, refer to Section 8. The report concludes with a few brief notes on possible software enhancements. For guidance on adding other functional forms to LIP, refer to Appendix B. The reader who is primarily interested in using LIP to solve a problem should skim Section 1, then skip to Sections 7.1-4. Finally, jump ahead to Section 8 and study the example. The remaining sections can be referred to in case more details are desired. Changes since version 1.1 of this document include the new Section 3.2.1 that discusses derivative estimation and new Section 6 that discusses the birational interpolation method. Section numbers following the latter have been modified accordingly." @default.
• W2017517745 created "2016-06-24" @default.
• W2017517745 creator A5068304073 @default.
• W2017517745 date "2011-07-06" @default.
• W2017517745 modified "2023-09-23" @default.
• W2017517745 title "LIP: The Livermore Interpolation Package, Version 1.4" @default.
• W2017517745 doi "https://doi.org/10.2172/1022923" @default.
• W2017517745 hasPublicationYear "2011" @default.
• W2017517745 type Work @default.
• W2017517745 sameAs 2017517745 @default.
• W2017517745 citedByCount "1" @default.
• W2017517745 countsByYear W20175177452017 @default.
• W2017517745 crossrefType "report" @default.
• W2017517745 hasAuthorship W2017517745A5068304073 @default.
• W2017517745 hasBestOaLocation W20175177452 @default.
• W2017517745 hasConcept C105795698 @default.
• W2017517745 hasConcept C11413529 @default.
• W2017517745 hasConcept C119768884 @default.
• W2017517745 hasConcept C121684516 @default.
• W2017517745 hasConcept C137800194 @default.
• W2017517745 hasConcept C188325010 @default.
• W2017517745 hasConcept C205203396 @default.
• W2017517745 hasConcept C207214200 @default.
• W2017517745 hasConcept C28826006 @default.
• W2017517745 hasConcept C31447003 @default.
• W2017517745 hasConcept C33923547 @default.
• W2017517745 hasConcept C41008148 @default.
• W2017517745 hasConcept C49608258 @default.
• W2017517745 hasConcept C502989409 @default.
• W2017517745 hasConceptScore W2017517745C105795698 @default.
• W2017517745 hasConceptScore W2017517745C11413529 @default.
• W2017517745 hasConceptScore W2017517745C119768884 @default.
• W2017517745 hasConceptScore W2017517745C121684516 @default.
• W2017517745 hasConceptScore W2017517745C137800194 @default.
• W2017517745 hasConceptScore W2017517745C188325010 @default.
• W2017517745 hasConceptScore W2017517745C205203396 @default.
• W2017517745 hasConceptScore W2017517745C207214200 @default.
• W2017517745 hasConceptScore W2017517745C28826006 @default.
• W2017517745 hasConceptScore W2017517745C31447003 @default.
• W2017517745 hasConceptScore W2017517745C33923547 @default.
• W2017517745 hasConceptScore W2017517745C41008148 @default.
• W2017517745 hasConceptScore W2017517745C49608258 @default.
• W2017517745 hasConceptScore W2017517745C502989409 @default.
• W2017517745 hasLocation W20175177451 @default.
• W2017517745 hasLocation W20175177452 @default.
• W2017517745 hasLocation W20175177453 @default.
• W2017517745 hasLocation W20175177454 @default.
• W2017517745 hasLocation W20175177455 @default.
• W2017517745 hasLocation W20175177456 @default.
• W2017517745 hasLocation W20175177457 @default.
• W2017517745 hasLocation W20175177458 @default.
• W2017517745 hasOpenAccess W2017517745 @default.
• W2017517745 hasPrimaryLocation W20175177451 @default.
• W2017517745 hasRelatedWork W1039431579 @default.
• W2017517745 hasRelatedWork W13946367 @default.
• W2017517745 hasRelatedWork W14442293 @default.
• W2017517745 hasRelatedWork W146792272 @default.
• W2017517745 hasRelatedWork W1604325706 @default.
• W2017517745 hasRelatedWork W2015523407 @default.
• W2017517745 hasRelatedWork W2075332336 @default.
• W2017517745 hasRelatedWork W2090962272 @default.
• W2017517745 hasRelatedWork W2358651935 @default.
• W2017517745 hasRelatedWork W2381363667 @default.
• W2017517745 hasRelatedWork W2413840539 @default.
• W2017517745 hasRelatedWork W2475673077 @default.
• W2017517745 hasRelatedWork W265076687 @default.
• W2017517745 hasRelatedWork W2754155172 @default.
• W2017517745 hasRelatedWork W2916564632 @default.
• W2017517745 hasRelatedWork W2916832831 @default.
• W2017517745 hasRelatedWork W3120123521 @default.
• W2017517745 hasRelatedWork W768956504 @default.
• W2017517745 hasRelatedWork W853747640 @default.
• W2017517745 hasRelatedWork W2140824684 @default.
• W2017517745 isParatext "false" @default.
• W2017517745 isRetracted "false" @default.
• W2017517745 magId "2017517745" @default.
• W2017517745 workType "report" @default.