Applied Numerical Methods with Coifman-Meyer Bases.

Abstract

The main mathematical ideas behind this project was to implement Ciofman-Meyer type bases in various numerical algorithms. In Particular, when large grid FFT are concerned, the refining of grids near discontinuity is impractical and lead to very expensive CPU overhead. The CF bases allow the imposition of the bells such that the discontinuous domains can be stitched together. In microprocess simulations it is critical and discontinuities appear naturally. The finite numerical apperture of the optical systems presents a discontinuity in k-space, and the implementation of the bells with the CF bases provided the necessary mathematical mechanism for the algorithms construction. (AN)

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Document Details

Document Type
Technical Report
Publication Date
Jan 31, 1995
Accession Number
ADA296881

Entities

People

  • Eytan Barourch

Organizations

  • Clarkson University

Tags

DTIC Thesaurus Topics

  • Algorithms
  • Construction
  • Discontinuities
  • Refining
  • Simulations

Readers

  • Finite Element Method (FEM) for solving Partial Differential Equations (PDEs)
  • Materials Science
  • Quantum Dot Semiconductor Device Photonics and Graphene Optoelectronic Materials and THz Physics.

Technology Areas

  • Space