Maxim Shishlenin

Numerical solution of the multidimensional Gelfand–Levitan equation

Sergey Kabanikhin, Karl K. Sabelfeld, Nikita S. Novikov et al. · Journal of Inverse and Ill-Posed Problems · 2015 · 53 citations

Numerical Analysis, Method Of Fundamental Solution, Coefficient Inverse Problem +10

Solving of the coefficient inverse problems for a nonlinear singularly perturbed reaction-diffusion-advection equation with the final time data

D. V. Lukyanenko, Maxim Shishlenin · Communications in Nonlinear Science and Numerical Simulation · 2017 · 47 citations

Numerical Analysis, Final Time Data, Coefficient Inverse Problems +7

Solving coefficient inverse problems for nonlinear singularly perturbed equations of the reaction-diffusion-advection type with data on the position of a reaction front

D. V. Lukyanenko, A. A. Borzunov, Maxim Shishlenin · Communications in Nonlinear Science and Numerical Simulation · 2021 · 47 citations

Numerical Analysis, Reaction Front, Coefficient Inverse Problems +7

Quasi-solution in inverse coefficient problems

Sergey Kabanikhin, Maxim Shishlenin · Journal of Inverse and Ill-Posed Problems · 2008 · 46 citations

Numerical Analysis, Elliptic Equation, Engineering +11

Asymptotic analysis of solving an inverse boundary value problem for a nonlinear singularly perturbed time-periodic reaction-diffusion-advection equation

D. V. Lukyanenko, Maxim Shishlenin · Journal of Inverse and Ill-Posed Problems · 2019 · 46 citations

Numerical Analysis, Singularly Perturbed Problem, Direct Problem +8