CSDL Bài trích Báo - Tạp chí
chủ đề: Mathematics
1 Weak two-scale convergence in L2 for a two-dimensional case = Hội tụ hai-kích thước yếu trong L2 cho một trường hợp hai chiều / Tina Mai // .- 2021 .- Số 05(48) .- P. 88-92 .- 510
Present definitions and some properties of the weak two-scale convergence (introduced by Nguetseng in 1989) for component-wise vector or matrix functions within a two-dimensional case.
2 Transition nodal basis functions in p-adaptive finte element methods = Hàm nút cơ sở chuyển giao dùng trong phương pháp phần tử hữu hạn thích nghi loại p / Nguyen Trung Hieu, Phan Quoc Hung, Mai Tina, Tran Xuan Linh // .- 2021 .- Số 06(49) .- P. 35-39 .- 510
Present two different approaches to define transition nodal basis functions that can be used to allow elements of different degrees on the same mesh in p-adaptive finite element method.
3 h-adaptive refinement strategies for triangular finite element meshes = Các thuật toán làm mịn h-thích nghi cho lưới phần tử hữu hạn tam giác / Nguyen Trung Hieu // .- 2022 .- Số 05(54) .- P. 50-57 .- 510
Present two different approaches to h-adaptively refine triangular finite element messes. These two strategies are designed to keep the shape regularity of the meshes almost the same and to preserve the sparsity pattern of the resulting system of equations.
4 Ulam-Hyers-Rassias stability for a random nonlinear Volterra equation = Sự ổn định Ulam-Hyers-Rassias của phương trình tích phân Volterra ngẫu nhiên / Nguyen Tan Huy, Huynh Anh Thi // .- 2023 .- Số 05(60) .- P. 80-87 .- 510
By using the classical Banach contraction principle, we investigate and establish stability in the sense of Ulam-Hyers and Ulam-Hyers-Rassias for random nonlinear integral equations.
5 Two-scale convergence in Sobolev spaces for a two-dimensional case = Hội tụ two-scale trong các không gian Sobolev cho một trường hợp hai chiều / Tina Mai // .- 2023 .- Số 02 (63) - Tháng 4 .- P. 54-60 .- 510
We present some properties of the two-scale convergence in Sobolev spaces for a two-dimensional case.
6 Existence results and numerical solution of fully fourth order nonlinear functional differential equations / Dang Quang A, Nguyen Thanh Huong // .- 2023 .- Tập 39 - Số 4 .- P. 393-406 .- 511
In this paper, we consider a boundary value problem for a fully fourth-order nonlinear functional differential equation which contains all lower derivatives of proportional delay arguments. By the reduction of the problem to operator equation for the right-hand side nonlinear function, we establish the existence and uniqueness of the solution and construct iterative methods on both continuous and discrete levels for solving it. We obtain the total error estimate for the discrete iterative solution. Many examples demonstrate the validity of the obtained theoretical results and the efficiency of the numerical method.