scientific article; zbMATH DE number 1785570

zbMath1014.47001MaRDI QIDQ4547067

V. I. Lebedev

Publication date: 21 August 2002

Title: zbMATH Open Web Interface contents unavailable due to conflicting licenses.

zbMATH Keywords

contraction mapping principleSobolev spacesvariational methodsNewton methodsteepest descentbest approximationPoincaré-Steklov operatorsoperator theorycomposition methodRiesz-Schauder theoryChebyshev iterative methodsconvergence of Neumann serieserror estimates for linear equationsgeneralized solutions for elliptic second-order equationsGreen formulas for differential operatorslinear equations with self-adjoint operators

Mathematics Subject Classification ID

Sobolev spaces and other spaces of ``smooth functions, embedding theorems, trace theorems (46E35) Fixed-point theorems (47H10) Abstract approximation theory (approximation in normed linear spaces and other abstract spaces) (41A65) Numerical solutions to equations with linear operators (65J10) Numerical solutions to equations with nonlinear operators (65J15) Introductory exposition (textbooks, tutorial papers, etc.) pertaining to functional analysis (46-01) Introductory exposition (textbooks, tutorial papers, etc.) pertaining to numerical analysis (65-01) Introductory exposition (textbooks, tutorial papers, etc.) pertaining to operator theory (47-01)

Related Items (6)

Sensitivity of functionals to observation data in a variational assimilation problem for the sea thermodynamics model ⋮ On asymptotic contractions ⋮ Algorithm composition scheme for problems in composite domains based on the difference potential method ⋮ Numerical construction of the transform of the kernel of the integral representation of the Poincaré-Steklov operator for an elastic strip ⋮ Unnamed Item ⋮ Mathematical models of some nonlinear systems and their computer realization

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