Speciality:
05.13.18 (Mathematical modeling, numerical methods, and the program systems)
E-mail: Keywords: variational principles; mixed numerical methods; the theory of approximation; orthogonal compactly supported functions; wavelets.
Subject:
The new techniques of construction of orthogonal compactly supported functions are developed, which have the certain advantages before wavelets. The variational grid methods connected to mixed variational principles and to such orthogonal compactly supported functions are investigated.
Main publications:
Leontev V. L., Lukashanets N. Ch. O setochnykh bazisakh ortogonalnykh finitnykh funktsii // Zhurnal vychislit. matematiki i matem. fiziki, 1999, t. 39, # 7, 1158–1168.
Leontev V. L. Ortogonalnye finitnye funktsii v zadachakh na sobstvennye znacheniya // Zhurnal vychislit. matematiki i matem. fiziki, 2001, t. 41, # 6, 874–880.
