Department of Computational Mathematics was founded in 1960 under the Faculty of Mechanics and Mathematics. The main reason for the formation of the Department was an urgent need of specialists for contemporary economic complex, who should be able to ensure the proper functioning of the first computers (system software) and to make software and application software for them. The undeniable fact is that this type of chair was one of the first in the former USSR and the first in western Ukraine. Founder (on the initiative of the rector of Lviv University Academic Eugene Lazarenko) and the long head of the department was Professor A. Kostovskyy. By the mid 70’s Department issued specialists – “calculators”, focused on computers BESM, ES and others types system maintenance, the development and support of AMS etc.

Over the years the Department was headed by Professor O. M. Kostovskyy (1960 – 1977), Docent A. I. Kardash (1977 – 1983), Docent J. V. Lyudkevych (1983 – 1993), Docent I. I. Tchulyk(1991 – 1993), Professor H. H. Tsehelyk (1993 – 2000), Professor R. S. Chapko (since 2000).

The Department has been the regular supplier of scientific and teaching staff in the creation of new departments in university and beyond. In 1975 the Department was one of the basic in creating of the Faculty of Applied Mathematics and Mechanics in Lviv University.

At present the staff of the Department conduct research on the numerical solution of linear and nonlinear problems of computational mathematics. Professors of the Department read general courses related to the methods of approximate calculation: “Functional Analysis”, “Numerical methods of linear algebra”, “Numerical methods”, “Linear Integral Equations”, “Additional sections of numerical methods” for students of “Applied Mathematics” and “Systems Analysis” research areas.

According to the research results of the Department numerous scientific papers are published, including publishing in prestigious international journals. Professor R. S. Chapko received the State Prize of Ukraine in Science and Technology in 2012 as part of a group of authors for a series of scientific papers “Discrete and functional methods of approximation theory and their application”. Professors of the Department maintain scientific contacts with the departments and institutes of appropriate profiles of the University of Warsaw (Poland), University of Wroclaw (Poland), University of Gottingen (Germany), University of Karlsruhe (Germany), University of Linz (Austria) and universities of other countries.