Dinh Dũng

Publications in Math-Net.Ru

1. Collocation approximation by deep neural ReLU networks for parametric and stochastic PDEs with lognormal inputs
   
   Mat. Sb., 214:4 (2023),  38–75
2. Linear collective collocation approximation for parametric and stochastic elliptic PDEs
   
   Mat. Sb., 210:4 (2019),  103–127
3. High-dimensional Collocation Weighted Approximations For Parametric Elliptic PDEs With Lognormal Inputs
   
   BULLETIN of the L.N. Gumilyov Eurasian National University. MATHEMATICS.COMPUTER SCIENCE. MECHANICS Series, 127:2 (2019),  39–45
4. Galerkin approximation for parametric and stochastic elliptic PDEs
   
   BULLETIN of the L.N. Gumilyov Eurasian National University. MATHEMATICS.COMPUTER SCIENCE. MECHANICS Series, 122:1 (2018),  76–89
5. Reconstruction and one-sided approximation of periodic functions of several variables
   
   Dokl. Akad. Nauk SSSR, 313:4 (1990),  787–790
6. The Whittaker–Kotel'nikov–Shannon theorem, $\epsilon$-entropy and $\epsilon$-dimensionality
   
   Dokl. Akad. Nauk SSSR, 312:3 (1990),  524–528
7. Best linear methods for approximation of classes of periodic functions of several variables
   
   Mat. Zametki, 41:5 (1987),  646–653
8. Approximation by trigonometric polynomials of functions of several variables on the torus
   
   Mat. Sb. (N.S.), 131(173):2(10) (1986),  251–271
9. Number of integral points in a certain set and the approximation of functions of several variables
   
   Mat. Zametki, 36:4 (1984),  479–491
10. The approximation of classes of periodic functions of many variables
    
    Uspekhi Mat. Nauk, 38:6(234) (1983),  111–112
11. Mean $\varepsilon$-dimension of the functional class $B_{G,p}$
    
    Mat. Zametki, 28:5 (1980),  727–736
12. Problems of Bernstein and Favard type and the mean $\varepsilon$-dimension of some classes of functions
    
    Dokl. Akad. Nauk SSSR, 249:4 (1979),  783–786
13. Some approximative characteristics of the classes of smooth functions of several variables in the metric of $\mathscr L_2$
    
    Uspekhi Mat. Nauk, 34:4(208) (1979),  189–190