Published by decision of the Editorial and Publishing Council of the Faculty of Computational Mathematics and Cybernetics of Lomonosov Moscow State University. The textbook discusses the use of integral equations in problems of mathematical physics . Information is given that allows to reduce problems for partial differential equations to integral equations. Numerical methods for solving emerging integral equations are presented, the application of integral equations in solving boundary value problems for the Laplace and Helmholtz equations, and the application of the method of integral equations to the numerical solution of problems of aerodynamics and wave scattering are shown. The book is intended for students studying at the educational programmes in the areas of 01.03.02 “Applied Mathematics and Informatics” (Bachelor’s degree), 01.04.02 “Applied Mathematics and Informatics” (Master’s degree), 09.06.01 “Informatics and computer technology" (Postgraduate studies).
To cite this article
Setukha, A.V. The method of integral equations in mathematical physics: a textbook. — Moscow: Moscow University Press, 2023. — 316 p.
Published by decision of the Editorial and Publishing Council of the Faculty of Computational Mathematics and Cybernetics of Lomonosov Moscow State University. The textbook discusses the use of integral equations in problems of mathematical physics . Information is given that allows to reduce problems for partial differential equations to integral equations. Numerical methods for solving emerging integral equations are presented, the application of integral equations in solving boundary value problems for the Laplace and Helmholtz equations, and the application of the method of integral equations to the numerical solution of problems of aerodynamics and wave scattering are shown. The book is intended for students studying at the educational programmes in the areas of 01.03.02 “Applied Mathematics and Informatics” (Bachelor’s degree), 01.04.02 “Applied Mathematics and Informatics” (Master’s degree), 09.06.01 “Informatics and computer technology" (Postgraduate studies).
For citations
Setukha, A.V. The method of integral equations in mathematical physics: a textbook. — Moscow: Moscow University Press, 2023. — 316 p.
Moscow University Press
