ALBERT

All Library Books, journals and Electronic Records Telegrafenberg

X
feed icon rss

Your email was sent successfully. Check your inbox.

An error occurred while sending the email. Please try again.

Proceed reservation?

Export
Filter
  • Numerical Analysis  (2)
Collection
Keywords
Years
  • 1
    facet.materialart.
    Unknown
    Multi-Dimensional Asymptotically Stable 4th Order Accurate Schemes for the Diffusion Equation (1996)
    In:  CASI
    Details
    Publication Date: 2019-06-28
    Description: An algorithm is presented which solves the multi-dimensional diffusion equation on co mplex shapes to 4th-order accuracy and is asymptotically stable in time. This bounded-error result is achieved by constructing, on a rectangular grid, a differentiation matrix whose symmetric part is negative definite. The differentiation matrix accounts for the Dirichlet boundary condition by imposing penalty like terms. Numerical examples in 2-D show that the method is effective even where standard schemes, stable by traditional definitions fail.
    Keywords: Numerical Analysis
    Type: NASA-CR-198279 , NAS 1.26:198279 , AD-A306919 , ICASE-96-8
    Format: application/pdf
    Location Call Number Expected Availability
    BibTip Others were also interested in ...
    NASA TECHNICAL REPORTS
  • 2
    facet.materialart.
    Unknown
    Bounded Error Schemes for the Wave Equation on Complex Domains (1998)
    In:  CASI
    Details
    Publication Date: 2019-07-10
    Description: This paper considers the application of the method of boundary penalty terms ("SAT") to the numerical solution of the wave equation on complex shapes with Dirichlet boundary conditions. A theory is developed, in a semi-discrete setting, that allows the use of a Cartesian grid on complex geometries, yet maintains the order of accuracy with only a linear temporal error-bound. A numerical example, involving the solution of Maxwell's equations inside a 2-D circular wave-guide demonstrates the efficacy of this method in comparison to others (e.g. the staggered Yee scheme) - we achieve a decrease of two orders of magnitude in the level of the L2-error.
    Keywords: Numerical Analysis
    Type: NASA/CR-1998-208740 , NAS 1.26:208740 , ICASE-98-50
    Format: application/pdf
    Location Call Number Expected Availability
    BibTip Others were also interested in ...
    NASA TECHNICAL REPORTS
Close ⊗
This website uses cookies and the analysis tool Matomo. More information can be found here...