Numerical solution methods for a nonlinear operator equation arising in an inverse coefficient problem

DOI10.1134/S0012266121070041zbMath1496.65147WikidataQ115249936 ScholiaQ115249936MaRDI QIDQ2047645

A. M. Denisov, S. V. Gavrilov

Publication date: 23 August 2021

Published in: Differential Equations (Search for Journal in Brave)

zbMATH Keywords

inverse problemsuccessive approximation methodNewton methodoperator equation

Mathematics Subject Classification ID

Numerical computation of solutions to systems of equations (65H10) Inverse problems for PDEs (35R30) Numerical solutions to equations with nonlinear operators (65J15) Numerical methods for inverse problems for initial value and initial-boundary value problems involving PDEs (65M32)

Related Items (3)

Iteration method for solving the problem of determining the coefficient and the source in the heat equation ⋮ Numerical methods for determining the coefficient and the source term in the heat equation ⋮ Interval approach to solving parametric identification problems for dynamical systems

Cites Work

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• Solution of one-dimensional inverse problems of electrodynamics by the Newton-Kantorovich method
• An iterative way of solving the inverse scattering problem for an acoustic system of equations in an absorptive layered nonhomogeneous medium
• Existence and uniqueness of a solution of a system of nonlinear integral equations
• Iterative method for solving an inverse problem for a hyperbolic equation with a small parameter multiplying the highest derivative
• Iterative method for solving an inverse coefficient problem for a hyperbolic equation
• Newton method for estimation of the Robin coefficient
• Iteration methods for solving a two dimensional inverse problem for a hyperbolic equation
• A Newton method for solving the inverse scattering problem for a sound-hard obstacle

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