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Carleman estimate for the Schrödinger equation and application to magnetic inverse problems and the direction of the magnetic field appearing in the dynamic Schrödinger equation with static coefficients
Optimization of characteristics and parameters of the waveguide optical microscope solution of the direct and inverse problems. The elaborated algorithm is based on the complex analysis
Two-dimensional Inverse Problem for an Integro-differential Equation of Hyperbolic TypeA multidimensional inverse problem of determining the kernel of the integral term of an
integro
Tolerance of the solution to the problem of a buried waveguide synthesis the given mode parameters is considered. For solving this inverse problem some universal mathematical model
Carleman estimates for the time-fractional advection-diffusion equations and applications the stability of an inverse source problem. © 2019 IOP Publishing Ltd.
Confidence intervals for a ratio of binomial proportions based on direct and inverse sampling schemes in the framework of direct or inverse binomial sampling. Asymptotic confidence intervals are constructed
Reconstruction and stable recovery of source terms and coefficients appearing in diffusion equationsWe consider the inverse source problem of determining a source term depending on both time
Direct and inverse problems for an abstract differential equation containing hadamard fractional derivativesIn a Banach space, we consider a Cauchy type problem with a left Hadamard fractional derivative
Determining the shape of an axisymmetric body in a viscous incompressible flow on the basis of the pressure distribution on the body surface, which involves the solutions of the inverse problem in the plane case and of the direct problem
About local numerical solution of boundary problems of elasticity three-dimensional theory (Haar) basis) are presented. Computer-oriented algorithms of fast direct and inverse discrete Haar
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