Thông tin nhà nghiên cứu KH&CN

Optimal numerical integration and approximation of functions on R^d equipped with Gaussian measure

Analyticity and Sparsity in Uncertainty. Quantification for PDEs with Gaussian Random Field Inputs

Collocation approximation by deep neural ReLU networks for parametric and stochastic PDEs with lognormal inputs

Erratum to:’’Sparse-grid polynomial interpolation approximation and integration for parametric and stochastic elliptic PDEs with lognormal inputs” [ESAIM: Mathematical Modelling and Numerical Analysis, 55(2021) 1163–1198], ESAIM: Mathematical Modelling and Numerical Analysis, 57(2023), 893-897

Numerical weighted integration of functions having mixed smoothness

Deep ReLU neural network approximation in Bochner spaces and applications to parametric PDEs

Computation complexity of deep ReLU neural networks in high-dimensional approximation

Approximation by linear combinations of translates of a single function

Deep ReLU neural networks in high-dimensional approximation

Sparse-grid polynomial interpolation approximation and integration for parametric and stochastic elliptic PDEs with lognormal inputs

Dimension-dependent error estimates for sampling recovery on Smolyak grids based on B-spline quasi-interpolation

Exterior Dirichlet and Neumann problems in domains with random boundaries

Adjusted sparse tensor product spectral Galerkin method for solving pseudodifferential equations on the sphere with random input data 166(2020), 187- 214

High-dimensional collocation weighted approximations for parametric elliptic PDEs with lognormal inputs

Approximation by translates of a single function of functions in space induced by the convolution with a given function

Adjusted sparse tensor product spectral Galerkin method for solving pseudodifferential equations on the sphere with random input data

Linear collective collocation approximation for parametric and stochastic elliptic PDEs

P.T. Duong, T. Tran, Dinh Dũng, A. Chernov Exterior Dirichlet and Neumann problems in domains with random boundaries

e-dimension in infinite dimensional hyperbolic cross approximation and application to parametric elliptic PDEs

Hyperbolic Cross Approximation

Fully discrete approximation of parametric and stochastic elliptic PDEs

Sampling and cubature on sparse grids based on a B-spline quasi-interpolation

Giải thưởng Tạ Quang Bửu năm 2015: Tác giả của công trình khoa học xuất sắc thuộc lĩnh vực Khoa học Máy tính và Thông tin

Sampling on energy-norm based sparse grids for the optimal recovery of Sobolev type functions in Hγ

Kolmogorov n-widths of function classes induced by a non-degenerate differential operator: a convex duality approach

Hyperbolic cross approximation in infinite dimensions

New explicit-in-dimension estimates for the cardinality of high-dimensional hyperbolic crosses and approximation of functions having mixed

A splitting algorithm for system of composite monotone inclusions

Whitney´s theorem for local anisotropic polynomial Lp-approximation, 0 Dinh Dũng, Nguyễn Văn Dũng and Nguyễn Đình Hóa
Jaen J. Approx. 6(2014), 68-86 - Năm xuất bản: 2014; ISSN/ISBN: 1889-3066

Lower bounds for the integration error for multivariate functions with mixed smoothness and optimal Fibonacci cubature for functions on the square

Dimension-dependent error estimates for sampling recovery on Smolyak grids based on B-spline quasi-interpolation

On embedding of Sobolev spaces of infinite smoothness

Optimal recovery of functions of a certain mixed smoothness

On best multivariate trigonometric approximations

On direct and inverse theorems in multivariate trigonometric polynomial approximation

A smoothness characterization for hyperbolic trigonometric polynomial approximations1-346

Geometric analysis: The double-slit interference experiment and magnetic resonance imaging

Reconstruction of images in magnetic resonance imaging

On best continuous methods in n-term approximation

On nonlinear n-widths and n-term approximation

On asymptotic order of n-term approximations and non-linear n-widths

On inequalities for derivatives in L2-metric

Approximation of some classes of smooth functions of several variables

On recovery of functions by sampling series

The minimal number of sample values for recovery of nonbandlimited functions

Direct and inverse theorems on best multivariate trigonometric polynomial approximations

Best one-sided approximations of smooth multivariate functions

Optimal nonlinear approximation of functions with a mixed smoothness

Approximation of classes of function on torus defined by a preassigned mixed modulus of continuity

Linear methods of smoothing functions on torus

Estimates of some integral and sums depending on parameter and approximation of smooth functions of several variables

Multivariate bandlimited functions: sampling representation and approximation

On interpolation recovery for periodic functions

On optimal recovery of multivariate periodic functions

A modification of sampling theorem and recovery of functions

Best multivariate approximations by trigonometric polynomials

Problems of Bernstein and Favard type and the mean e-dimension of some classes functions

The Whittaker-Kotelnikov-Shannon theorem, e-entropy and e-dimension

On recovery and one-sided approximation of periodic functions of several variables

Mean e-dimension of the class of functions BG,p

Some approximation characteristics of the classes of smooth functions of several variables in the metric L2

Approximation of classes of periodic functions of several variables

Best linear methods of approximation of classes of periodic functions of several variables

The number of integral points in some sets and approximation of functions of several variables

Approximation of functions of several variables on tori by trigonometric polynomials

Continuous algorithms in adaptive sampling recovery

On non-linear approximation of multivariate functions with a mixed smoothness

Multivariate approximation by translates of the Korobov function on Smolyak grids

N-Widths and e-dimensions for high-dimensional approximations

On nonlinear n-widths

The sampling theorem, L_p^T -approximation and e-dimension

Best multivariate approximations by trigonometric polynomials with frequencies from hyperbolic crosses

Continuous algorithms in n-term approximation and non-linear widths

B-spline quasi-interpolation sampling representation and sampling recovery in Sobolev spaces of mixed smoothness

Some remarks on stability in periodic multiwavelets decompositions

Using quasi-interpolant wavelet representations for nonlinear sampling recovery

Interpolation conditions and polynomial projectors preserving homogeneous partial differential equations

On polynomial projectors that preserve homogeneous partial differential equations

On stability in periodic multi-wavelet decompositions

Approximate recovery of periodic functions using wavelet decompositions

On Besov smoothness and non-linear approximations using wavelet decompositions

Non-linear approximations using wavelet decompositions

Non-linear n-term approximations of smooth functions using wavelet decompo-sitions

Multilevel approximation of parametric and stochastic PDES

Galerkin approximation for parametric and stochastic elliptic PDEs

Non-linear sampling recovery based on quasi-interpolant wavelet representations

On Whitney type inequalities for local anisotropic polynomial approximation

Stability in periodic multi-wavelet decompositions and recovery of functions

Polynomial projectors preserving homogeneous partial differential equations

B-spline quasi-interpolant representations and sampling recovery of functions with mixed smoothness

Proximity for sums of composite functions

Optimal adaptive sampling recovery

Non-linear approximation using sets of finite cardinality or finite pseudo-dimension

Asymptotic orders of optimal non-linear approximations

Dualization of signal recovery problems

Độ phức tạp thông tin và xấp xỉ tín hiệu có số chiều rất lớn

Xấp xỉ và khôi phục tín hiệu có số chiều rất lớn trên lưới thưa

Xấp xỉ tín hiệu với số chiều rất lớn hoặc vô hạn và ứng dụng

Xấp xỉ tín hiệu với số chiều rất lớn có đầu vào ngẫu nhiên và mạng neuron sâu

Các phương pháp số, xấp xỉ và ứng dụng (Đề tài NCCB)

Các phương pháp số, xấp xỉ và ứng dụng (Đề tài NCCB)

Thiết kế và triển khai thử nghiệm hệ thống dạy và học điện tử (Đề tài trọng điểm)

Ứng dụng công nghệ mã nguồn mở để xây dựng một phần mềm kiểm tra trực tuyến

Khôi phục và nén tín hiệu sử dụng phân rã sóng nhỏ

Xây dựng ngân hàng câu hỏi sát hạch trắc nghiệm trực tuyến

Chương trình dạy một số môn học cơ bản bằng máy tính

Một số phương pháp toán học trong khôi phục ảnh và tín hiệu