Accession Number : ADA296881

Title :   Applied Numerical Methods with Coifman-Meyer Bases.

Descriptive Note : Final rept. 1 Nov 92-31 Jan 95,

Corporate Author : CLARKSON UNIV POTSDAM NY

Personal Author(s) : Barourch, Eytan

PDF Url : ADA296881

Report Date : 31 JAN 1995

Pagination or Media Count : 79

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)

Descriptors :   *ALGORITHMS, *MATHEMATICAL PROGRAMMING, *NUMERICAL METHODS AND PROCEDURES, MATHEMATICAL MODELS, COMPUTERIZED SIMULATION, SOFTWARE ENGINEERING, IMAGE PROCESSING, OPTIMIZATION, COMPUTER AIDED DESIGN, GRIDS, GATES(CIRCUITS), CHIPS(ELECTRONICS), RANDOM ACCESS COMPUTER STORAGE, FAST FOURIER TRANSFORMS, COMPUTER AIDED MANUFACTURING, WAFERS, DISCONTINUITIES, OPTICAL PROCESSING, PHOTOLITHOGRAPHY.

Subject Categories : Numerical Mathematics
      Operations Research
      Electrical and Electronic Equipment

Distribution Statement : APPROVED FOR PUBLIC RELEASE