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Robust Exponential Integration of Functions of Boundary Layer Type
Author(s) -
Melenk J. M.
Publication year - 1998
Publication title -
zamm ‐ journal of applied mathematics and mechanics / zeitschrift für angewandte mathematik und mechanik
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.449
H-Index - 51
eISSN - 1521-4001
pISSN - 0044-2267
DOI - 10.1002/zamm.19980781574
Subject(s) - quadrature (astronomy) , mathematics , exponential function , numerical integration , gaussian quadrature , gaussian , mathematical analysis , exponential growth , exponential type , composite number , boundary (topology) , boundary layer , boundary value problem , algorithm , physics , nyström method , optics , quantum mechanics , thermodynamics
The integration of functions of boundary layer type by composite Gaussian quadrature schemes is considered. Using two elements of appropriate size ensures that the corresponding composite Gaussian quadrature converges robustly, i. e., independently of the length scale of the layer, and exponentially in the number of integration points.