FRINK Linked Data Fragments server

Matches in SemOpenAlex for { <https://semopenalex.org/work/W2186170414> ?p ?o ?g. }

• W2186170414 endingPage "918" @default.
• W2186170414 startingPage "913" @default.
• W2186170414 abstract "In a crystalline algorithm, a tangential velocity is used implicitly. In this short note, it is specified for the case of evolving plane curves, and is characterized by using the intrinsic heat equation. It is well known that the tangential velocity of evolution of plane curves causes stability from a numerical point of view. In this short note, the tangential velocity in a crystalline algorithm is specified, and it is compared with the one in other schemes by using the intrinsic heat equation. Our goal is simple. In the crystalline algorithm, the tangential velocity equals the quantity which is described as a negative of partial derivatives of the normal velocity with respect to the arc-length and its division by the curvature. Following Mikula andcovic (12), our target curves are defined as follows. We consider an embedded, orientable and closed plane curve i which is parameterized by a smooth function x : R/Z ! R 2 such that i = Image(x) = {x(u); u 2 R/Z} and |@ux| > 0. Here and hereafter, we denote @»(·) = @(·)/@». The unit tangent vector can be defined as T = @ux/|@ux| = @sx, where s is the arc-length parameter and ds = |@ux|du, and the unit inward normal vector is defined by N = T ? , where (a,b) ? = (ib,a). The curvature in the direction N is denoted by k, and the Frenet's formulae are @sT = kN and @sN = ikT. Let be the angle of T, i.e., T = (cos,sin) and N = (isin,cos). Our problem is as follows: For a given initial curve i 0 = Image(x 0 ) = i, find a family of curve {i t }t‚0, i t = {x(u,t); u 2R/Z} which starts from x(u,0) = x 0 (u) for u 2R/Z and evolves according to the normal velocity" @default.
• W2186170414 created "2016-06-24" @default.
• W2186170414 creator A5047059030 @default.
• W2186170414 date "2007-01-01" @default.
• W2186170414 modified "2023-09-22" @default.
• W2186170414 title "ON THE TANGENTIAL VELOCITY ARISING IN A CRYSTALLINE APPROXIMATION OF EVOLVING PLANE CURVES" @default.
• W2186170414 cites W1646886396 @default.
• W2186170414 cites W1968205068 @default.
• W2186170414 cites W1978539725 @default.
• W2186170414 cites W2005100432 @default.
• W2186170414 cites W2015242782 @default.
• W2186170414 cites W2050059859 @default.
• W2186170414 cites W2062314820 @default.
• W2186170414 cites W2069153105 @default.
• W2186170414 cites W2074349314 @default.
• W2186170414 cites W2076668886 @default.
• W2186170414 cites W2129350594 @default.
• W2186170414 cites W2171432562 @default.
• W2186170414 cites W2942602899 @default.
• W2186170414 cites W325069704 @default.
• W2186170414 cites W1519602430 @default.
• W2186170414 hasPublicationYear "2007" @default.
• W2186170414 type Work @default.
• W2186170414 sameAs 2186170414 @default.
• W2186170414 citedByCount "4" @default.
• W2186170414 countsByYear W21861704142013 @default.
• W2186170414 crossrefType "journal-article" @default.
• W2186170414 hasAuthorship W2186170414A5047059030 @default.
• W2186170414 hasConcept C114614502 @default.
• W2186170414 hasConcept C121332964 @default.
• W2186170414 hasConcept C122637931 @default.
• W2186170414 hasConcept C134306372 @default.
• W2186170414 hasConcept C138187205 @default.
• W2186170414 hasConcept C14036430 @default.
• W2186170414 hasConcept C145420912 @default.
• W2186170414 hasConcept C161223928 @default.
• W2186170414 hasConcept C162546045 @default.
• W2186170414 hasConcept C165464430 @default.
• W2186170414 hasConcept C175017881 @default.
• W2186170414 hasConcept C17825722 @default.
• W2186170414 hasConcept C195065555 @default.
• W2186170414 hasConcept C22251595 @default.
• W2186170414 hasConcept C2524010 @default.
• W2186170414 hasConcept C2988738274 @default.
• W2186170414 hasConcept C33923547 @default.
• W2186170414 hasConcept C43809302 @default.
• W2186170414 hasConcept C70251129 @default.
• W2186170414 hasConcept C74650414 @default.
• W2186170414 hasConcept C78458016 @default.
• W2186170414 hasConcept C83415579 @default.
• W2186170414 hasConcept C84316537 @default.
• W2186170414 hasConcept C84985374 @default.
• W2186170414 hasConcept C86803240 @default.
• W2186170414 hasConceptScore W2186170414C114614502 @default.
• W2186170414 hasConceptScore W2186170414C121332964 @default.
• W2186170414 hasConceptScore W2186170414C122637931 @default.
• W2186170414 hasConceptScore W2186170414C134306372 @default.
• W2186170414 hasConceptScore W2186170414C138187205 @default.
• W2186170414 hasConceptScore W2186170414C14036430 @default.
• W2186170414 hasConceptScore W2186170414C145420912 @default.
• W2186170414 hasConceptScore W2186170414C161223928 @default.
• W2186170414 hasConceptScore W2186170414C162546045 @default.
• W2186170414 hasConceptScore W2186170414C165464430 @default.
• W2186170414 hasConceptScore W2186170414C175017881 @default.
• W2186170414 hasConceptScore W2186170414C17825722 @default.
• W2186170414 hasConceptScore W2186170414C195065555 @default.
• W2186170414 hasConceptScore W2186170414C22251595 @default.
• W2186170414 hasConceptScore W2186170414C2524010 @default.
• W2186170414 hasConceptScore W2186170414C2988738274 @default.
• W2186170414 hasConceptScore W2186170414C33923547 @default.
• W2186170414 hasConceptScore W2186170414C43809302 @default.
• W2186170414 hasConceptScore W2186170414C70251129 @default.
• W2186170414 hasConceptScore W2186170414C74650414 @default.
• W2186170414 hasConceptScore W2186170414C78458016 @default.
• W2186170414 hasConceptScore W2186170414C83415579 @default.
• W2186170414 hasConceptScore W2186170414C84316537 @default.
• W2186170414 hasConceptScore W2186170414C84985374 @default.
• W2186170414 hasConceptScore W2186170414C86803240 @default.
• W2186170414 hasIssue "6" @default.
• W2186170414 hasLocation W21861704141 @default.
• W2186170414 hasOpenAccess W2186170414 @default.
• W2186170414 hasPrimaryLocation W21861704141 @default.
• W2186170414 hasRelatedWork W1553761880 @default.
• W2186170414 hasRelatedWork W1967598571 @default.
• W2186170414 hasRelatedWork W1978539725 @default.
• W2186170414 hasRelatedWork W1978833075 @default.
• W2186170414 hasRelatedWork W2015242782 @default.
• W2186170414 hasRelatedWork W2041170998 @default.
• W2186170414 hasRelatedWork W2041297121 @default.
• W2186170414 hasRelatedWork W2044922644 @default.
• W2186170414 hasRelatedWork W2050059859 @default.
• W2186170414 hasRelatedWork W2050710152 @default.
• W2186170414 hasRelatedWork W2054661682 @default.
• W2186170414 hasRelatedWork W2059490566 @default.
• W2186170414 hasRelatedWork W2066945800 @default.
• W2186170414 hasRelatedWork W2101175795 @default.
• W2186170414 hasRelatedWork W2105567057 @default.
• W2186170414 hasRelatedWork W2159613209 @default.

• next