Shishkina Lidiya Pavlovna

Publications in Math-Net.Ru

1. Richardson’s third-order difference scheme for the Cauchy problem in the case of transport equation
   
   Zh. Vychisl. Mat. Mat. Fiz., 64:10 (2024),  1826–1835
2. An improved difference scheme for the Cauchy problem in the case of a transport equation
   
   Zh. Vychisl. Mat. Mat. Fiz., 63:8 (2023),  1272–1278
3. A difference scheme of the decomposition method for an initial boundary value problem for the singularly perturbed transport equation
   
   Zh. Vychisl. Mat. Mat. Fiz., 62:7 (2022),  1224–1232
4. Erratum to: Monotone decomposition of the Cauchy problem for a hyperbolic equation based on transport equations
   
   Zh. Vychisl. Mat. Mat. Fiz., 62:4 (2022),  700
5. Monotone decomposition of the Cauchy problem for a hyperbolic equation based on transport equations
   
   Zh. Vychisl. Mat. Mat. Fiz., 62:3 (2022),  442–450
6. Numerical study of an initial-boundary value Neumann problem for a singularly perturbed parabolic equation
   
   Model. Anal. Inform. Sist., 23:5 (2016),  568–576
7. Difference scheme of highest accuracy order for a singularly perturbed reaction-diffusion equation based on the solution decomposition method
   
   Trudy Inst. Mat. i Mekh. UrO RAN, 21:1 (2015),  280–293
8. A higher order accurate solution decomposition scheme for a singularly perturbed parabolic reaction-diffusion equation
   
   Zh. Vychisl. Mat. Mat. Fiz., 55:3 (2015),  393–416
9. A stable standard difference scheme for a singularly perturbed convection-diffusion equation in the presence of computer perturbations
   
   Trudy Inst. Mat. i Mekh. UrO RAN, 20:1 (2014),  322–333
10. Improved approximations of the solution and derivatives to a singularly perturbed reaction-diffusion equation based on the solution decomposition method
    
    Zh. Vychisl. Mat. Mat. Fiz., 51:6 (2011),  1091–1120
11. Improved difference scheme of the solution decomposition method for a singularly perturbed reaction-diffusion equation
    
    Trudy Inst. Mat. i Mekh. UrO RAN, 16:1 (2010),  255–271
12. A Richardson scheme of the decomposition method for solving singularly perturbed parabolic reaction-diffusion equation
    
    Zh. Vychisl. Mat. Mat. Fiz., 50:12 (2010),  2113–2133
13. A conservative difference scheme for a singularly perturbed elliptic reaction-diffusion equation: approximation of solutions and derivatives
    
    Zh. Vychisl. Mat. Mat. Fiz., 50:4 (2010),  665–678
14. A Richardson scheme of an increased order of accuracy for a semilinear singularly perturbed elliptic convection-diffusion equation
    
    Zh. Vychisl. Mat. Mat. Fiz., 50:3 (2010),  458–478
15. Finite difference schemes for the singularly perturbed reaction-diffusion equation in the case of spherical symmetry
    
    Zh. Vychisl. Mat. Mat. Fiz., 49:5 (2009),  840–856
16. Approximation of a system of singularly perturbed reaction-diffusion parabolic equations in a rectangle
    
    Zh. Vychisl. Mat. Mat. Fiz., 48:4 (2008),  660–673
17. Approximation of the solution and its derivative for the singularly perturbed Black–Scholes equation with nonsmooth initial data
    
    Zh. Vychisl. Mat. Mat. Fiz., 47:3 (2007),  460–480
18. A Higher-Order Richardson Method for a Quasilinear Singularly Perturbed Elliptic Reaction-Diffusion Equation
    
    Differ. Uravn., 41:7 (2005),  980–989
19. High-order accurate decomposition of the Richardson method for a singularly perturbed elliptic reaction-diffusion equation
    
    Zh. Vychisl. Mat. Mat. Fiz., 44:2 (2004),  329–337
20. High-order time-accurate schemes for parabolic singular perturbation convection-diffusion problems with Robin boundary conditions
    
    Mat. Model., 15:8 (2003),  99–112
21. Distributing the numerical solution of parabolic singularly perturbed problems with defect correction over independent processes
    
    Sib. Zh. Vychisl. Mat., 3:3 (2000),  229–258