The future of applied mathematics. Lectures for young researchers. Explorations and discoveries (Q2920269)

This volume contains lectures delivered during the Third Annual School for students and young researchers held at the Keldysh Institute of Applied Mathematics of the Russian Academy of Sciences. There are seven chapters in this book. Chapter 1 has an introductory character and opens with two articles in memoriam of the former director of the institute Professor Kurdyumov, the first one introducing him as a colleague, researcher and the leader of the institute and the second one presenting his research school. The chapter concludes with two lectures on foundations of remote sensing and history of space exploration. Chapters 2--4 are devoted to the problems of mathematical physics and computational mathematics and include, for instance, the study of Navier-Stokes equations, asymptotic analysis of systems with delayed argument, computations with large matrices and construction of difference schemes for second order differential equations possessing symmetries. Mathematical models for astrophysics, space science and oil production are discussed in Chapter 5, whereas Chapter 6 contains two articles on network security and distributed computing. Three articles in the final chapter introduce open problems related to wireless communication, computational science and an overview of the modern mathematics history.