Title :
Role of numerical noise in ultra large-scale computing
Author :
Hastriter, M.L. ; Chew, W.C.
Author_Institution :
Dept. of Electr. & Comput. Eng., Illinois Univ., Urbana, IL, USA
Abstract :
We have reviewed the role of numerical noise (round off error) in different parts of computations. It is seen that product error is insignificant. Subtraction error can play a significant role when a system is ill conditioned or involves subtracting large numbers to obtain small numbers. However, phase error due to round off can dominate for ultra-large scale problems involving hundreds of wavelengths.
Keywords :
computational electromagnetics; roundoff errors; computational electromagnetics; ill conditioned system; numerical noise; phase error; product error; round off error; subtraction error; ultra large-scale computing; Computational electromagnetics; Differential equations; Electromagnetic radiation; Green´s function methods; Integral equations; Large-scale systems; Noise generators; Nonuniform electric fields; Sparse matrices; Surface waves;
Conference_Titel :
Antennas and Propagation Society International Symposium, 2004. IEEE
Print_ISBN :
0-7803-8302-8
DOI :
10.1109/APS.2004.1332103