Linear and nonlinear ill-posed problems

DOI10.1007/BF01083885zbMath0338.47033OpenAlexW2050541673MaRDI QIDQ1231159

V. A. Morozov

Publication date: 1976

Published in: Journal of Soviet Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/bf01083885

Mathematics Subject Classification ID

General theory of numerical analysis in abstract spaces (65J05) Equations involving nonlinear operators (general) (47J05) Equations and inequalities involving linear operators, with vector unknowns (47A50) Theoretical approximation of solutions to integral equations (45L05) Operator partial differential equations (= PDEs on finite-dimensional spaces for abstract space valued functions) (35R20)

Cites Work

• Numerical solution of the equation of heat conduction for preceding times
• Some geometric properties of the spheres in a normed linear space
• Discussione del problema di Cauchy per le equazioni di tipo ellittico
• An approximate solution of an improper boundary value problem
• Dynamic programming and ill-conditioned linear systems
• Three circle theorems in partial differential equations and applications to improperly posed problems
• The use of mathematica programming for solving singular and poorly conditioned systems of equations
• On the regularization of a nonlinear ill-posed problem in Banach spaces
• Fonctions 'spline' definies sur un ensemble convexe
• Well-posed stochastic extensions of ill-posed linear problems
• Relationship of several variational methods for the approximate solution of ill-posed problems
• Improvement of the resolution of an instrument by numerical solution of an integral equation
• Continuous dependence on data for solutions of partial differential equations with a prescribed bound
• A Technique for the Numerical Solution of Certain Integral Equations of the First Kind
• On the Numerical Solution of Fredholm Integral Equations of the First Kind by the Inversion of the Linear System Produced by Quadrature
• The approximate solution of Fredholm integral equations of the first kind
• Statistical Estimation of the Numerical Solution of a Fredholm Integral Equation of the First Kind
• On Computing a Stable Least Squares Solution to the Inverse Problem for a Planar Newtonian Potential
• The solution of certain convolution type integral equations of the first kind by the regularization method
• A note on “improper” problems in partial differential equations
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