Coverart for item
The Resource Analysis and implementation of high-order compact finite difference schemes, by Jonathan Tyler

Analysis and implementation of high-order compact finite difference schemes, by Jonathan Tyler

Label
Analysis and implementation of high-order compact finite difference schemes
Title
Analysis and implementation of high-order compact finite difference schemes
Statement of responsibility
by Jonathan Tyler
Creator
Subject
Genre
Language
eng
Summary
The derivation of centered compact schemes at interior and boundary grid points is performed and an analysis of stability and computational efficiency is given. Compact schemes are high order implicit methods for numerical solutions of initial and/or boundary value problems modeled by differential equations. These schemes generally require smaller stencils than the traditional explicit finite difference counterparts. To avoid numerical instabilities at and near boundaries and in regions of mesh non-uniformity, a numerical filtering technique is employed. Experiments for non-stationary linear problems (convection, heat conduction) and also for nonlinear problems (Burgers' and KdV equations) were performed. The compact solvers were combined with Euler and fourth-order Runge-Kutta time differencing. In most cases, the order of convergence of the numerical solution to the exact solution was the same as the formal order of accuracy of the compact schemes employed
Cataloging source
UPB
Degree
M.S.
Dissertation year
2007
Granting institution
Brigham Young University. Dept of Mathematics
Illustrations
illustrations
Index
no index present
Literary form
non fiction
Nature of contents
  • bibliography
  • theses
Label
Analysis and implementation of high-order compact finite difference schemes, by Jonathan Tyler
Link
http://hdl.lib.byu.edu/1877/etd2177
Instantiates
Publication
Bibliography note
Includes bibliographical references (p. 100-102)
Carrier category
volume
Carrier MARC source
rdacarrier
Content category
text
Content type MARC source
rdacontent
Dimensions
28 cm.
Extent
xii, 102 p.
Media category
unmediated
Media MARC source
rdamedia
Other physical details
ill. (some col.)
System control number
  • UtOrBLW
  • (OCoLC)ocn377583599
Label
Analysis and implementation of high-order compact finite difference schemes, by Jonathan Tyler
Link
http://hdl.lib.byu.edu/1877/etd2177
Publication
Bibliography note
Includes bibliographical references (p. 100-102)
Carrier category
volume
Carrier MARC source
rdacarrier
Content category
text
Content type MARC source
rdacontent
Dimensions
28 cm.
Extent
xii, 102 p.
Media category
unmediated
Media MARC source
rdamedia
Other physical details
ill. (some col.)
System control number
  • UtOrBLW
  • (OCoLC)ocn377583599

Library Locations

Processing Feedback ...