On numerical methods for solving partial differential equations In 2024, the Springer Publishing Company issued the digital edition of the monograph entitled “High-order finite difference and finite element methods for solving some partial differential equations” by scientists of the Laboratory of Information Technologies and Laboratory of Theoretical Physics at JINR, Mongolian University of Science and Technology, and Institute of Mathematics and Digital Technology of the Mongolian Academy of Sciences. The monograph was released as part of the book series titled “Synthesis Lectures on Engineering, Science, and Technology” and based on the results of collaborative research. The monograph is devoted to the construction of the high-order finite difference and finite element methods for numerical solving multidimensional boundary-value problems (BVPs) for different partial differential equations, in particular, linear Helmholtz and wave equations, nonlinear Burgers’ equations, and elliptic (Schrödinger) equation. The authors of the monograph: Ulziibayar Vandandoo, Tugal Zhanlav, Ochbadrakh Chuluunbaatar, Alexander Gusev, Sergue Vinitsky, Galmandakh Chuluunbaatar. More...
