Matches in SemOpenAlex for { <https://semopenalex.org/work/W193288669> ?p ?o ?g. }
Showing items 1 to 72 of
72
with 100 items per page.
- W193288669 abstract "This thesis presents a new class of collocation methods for the approximate numerical solution of linear parabolic partial differential equations. In the time dimension, the partial derivative with respect to time is replaced by finite differences, to form the implicit Euler method. At each time step, a polynomial approximating the exact solution is calculated for each triangular finite element created by the Rivara algorithm. Polynomials of adjacent finite elements have values and normal derivatives at a set of discrete points, called matching points. The method of nested dissection is used to eliminate all variables at the interior points of the domain. The maximum error of the solution is of the order of the time step size, which is O ( dt ), except when dt is sufficiently small. In that case, the maximum error can be very small, depending on the density of the space mesh. An application based on OpenGL and Motif to visualize the solutions is also described in this thesis. Extensive numerical results, pictures of refined meshes, and 3 D representations of the solutions are given" @default.
- W193288669 created "2016-06-24" @default.
- W193288669 creator A5059386507 @default.
- W193288669 date "2005-01-01" @default.
- W193288669 modified "2023-09-23" @default.
- W193288669 title "Collocation methods for linear parabolic partial differential equations" @default.
- W193288669 hasPublicationYear "2005" @default.
- W193288669 type Work @default.
- W193288669 sameAs 193288669 @default.
- W193288669 citedByCount "1" @default.
- W193288669 countsByYear W1932886692017 @default.
- W193288669 crossrefType "dissertation" @default.
- W193288669 hasAuthorship W193288669A5059386507 @default.
- W193288669 hasConcept C114609681 @default.
- W193288669 hasConcept C121332964 @default.
- W193288669 hasConcept C134306372 @default.
- W193288669 hasConcept C135628077 @default.
- W193288669 hasConcept C2126413 @default.
- W193288669 hasConcept C2524010 @default.
- W193288669 hasConcept C28826006 @default.
- W193288669 hasConcept C31487907 @default.
- W193288669 hasConcept C33923547 @default.
- W193288669 hasConcept C51544822 @default.
- W193288669 hasConcept C53846429 @default.
- W193288669 hasConcept C73000952 @default.
- W193288669 hasConcept C768646 @default.
- W193288669 hasConcept C78045399 @default.
- W193288669 hasConcept C93779851 @default.
- W193288669 hasConcept C97355855 @default.
- W193288669 hasConceptScore W193288669C114609681 @default.
- W193288669 hasConceptScore W193288669C121332964 @default.
- W193288669 hasConceptScore W193288669C134306372 @default.
- W193288669 hasConceptScore W193288669C135628077 @default.
- W193288669 hasConceptScore W193288669C2126413 @default.
- W193288669 hasConceptScore W193288669C2524010 @default.
- W193288669 hasConceptScore W193288669C28826006 @default.
- W193288669 hasConceptScore W193288669C31487907 @default.
- W193288669 hasConceptScore W193288669C33923547 @default.
- W193288669 hasConceptScore W193288669C51544822 @default.
- W193288669 hasConceptScore W193288669C53846429 @default.
- W193288669 hasConceptScore W193288669C73000952 @default.
- W193288669 hasConceptScore W193288669C768646 @default.
- W193288669 hasConceptScore W193288669C78045399 @default.
- W193288669 hasConceptScore W193288669C93779851 @default.
- W193288669 hasConceptScore W193288669C97355855 @default.
- W193288669 hasLocation W1932886691 @default.
- W193288669 hasOpenAccess W193288669 @default.
- W193288669 hasPrimaryLocation W1932886691 @default.
- W193288669 hasRelatedWork W1543830907 @default.
- W193288669 hasRelatedWork W1967981428 @default.
- W193288669 hasRelatedWork W1976597245 @default.
- W193288669 hasRelatedWork W1983880039 @default.
- W193288669 hasRelatedWork W1987874357 @default.
- W193288669 hasRelatedWork W2003696205 @default.
- W193288669 hasRelatedWork W2030142412 @default.
- W193288669 hasRelatedWork W2031412580 @default.
- W193288669 hasRelatedWork W2069127908 @default.
- W193288669 hasRelatedWork W2075329281 @default.
- W193288669 hasRelatedWork W2251094206 @default.
- W193288669 hasRelatedWork W2322983682 @default.
- W193288669 hasRelatedWork W2615894240 @default.
- W193288669 hasRelatedWork W2635961168 @default.
- W193288669 hasRelatedWork W2768516128 @default.
- W193288669 hasRelatedWork W2793666055 @default.
- W193288669 hasRelatedWork W2894097723 @default.
- W193288669 hasRelatedWork W595715259 @default.
- W193288669 hasRelatedWork W1593413448 @default.
- W193288669 hasRelatedWork W2317876695 @default.
- W193288669 isParatext "false" @default.
- W193288669 isRetracted "false" @default.
- W193288669 magId "193288669" @default.
- W193288669 workType "dissertation" @default.