difference schemes for a singular perturbed problems, problems in unbounded domains, .spline-interpolation in a boundary layer, quadrature formulas for functions with large gradients, formulas of numerical differentiation
Main publications:
Zadorin A. I., Raznostnye skhemy dlya nelineinykh differentsialnykh uravnenii s malym parametrom v ogranichennykh i neogranichennykh oblastyakh, Dissertatsiya na soiskanie uchenoi stepeni doktora fiziko-matematicheskikh nauk, IVMiMG SO RAN, Novosibirsk, 2000 , 320 pp. http://elibrary.ru/item.asp?id=19150456
Zadorin A.I., KONEChNO-RAZNOSTNYE METODY REShENIYa URAVNENII S MALYM PARAMETROM, dissertatsiya na soiskanie uchenoi stepeni kandidata fiziko-matematicheskikh nauk / Nauch. ruk. Viktor Nikolaevich Ignatev, VTs SO AN SSSR, Novosibirsk, 1985 , 132 pp.