Selected Works of S.L. Sobolev

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Selected Works of S.L. Sobolev Volume I: Mathematical Physics, Computational Mathematics, and Cubature Formulas / edited by Gennadii V. Demidenko, Vladimir L. Vaskevich. -
XXVIII, 604 p. 20 illus. online resource. Content notes : Equations of Mathematical Physics -- Application of the Theory of Plane Waves to the Lamb Problem -- On a New Method in the Plane Problem on Elastic Vibrations -- On Application of a New Method to Study Elastic Vibrations in a Space with Axial Symmetry -- On Vibrations of a Half-Plane and a Layer with Arbitrary Initial Conditions -- On a New Method of Solving Problems about Propagation of Vibrations -- Functionally Invariant Solutions of the Wave Equation -- General Theory of Diffraction of Waves on Riemann Surfaces -- The Problem of Propagation of a Plastic State -- On a New Problem of Mathematical Physics -- On Motion of a Symmetric Top with a Cavity Filled with Fluid -- On a Class of Problems of Mathematical Physics -- Computational Mathematics and Cubature Formulas -- Schwarz’s Algorithm in Elasticity Theory -- On Solution Uniqueness of Difference Equations of Elliptic Type -- On One Difference Equation -- Certain Comments on the Numeric Solutions of Integral Equations -- Certain Modern Questions of Computational Mathematics -- Functional Analysis and Computational Mathematics -- Formulas of Mechanical Cubatures in n-Dimensional Space -- On Interpolation of Functions of n Variables -- Various Types of Convergence of Cubature and Quadrature Formulas -- Cubature Formulas on the Sphere Invariant under Finite Groups of Rotations -- The Number of Nodes in Cubature Formulas on the Sphere -- Certain Questions of the Theory of Cubature Formulas -- A Method for Calculating the Coefficients in Mechanical Cubature Formulas -- On the Rate of Convergence of Cubature Formulas -- Theory of Cubature Formulas -- Convergence of Approximate Integration Formulas for Functions from L 2 (m) -- Evaluation of Integrals of Infinitely Differentiable Functions -- Cubature Formulas with Regular Boundary Layer -- A Difference Analogue of the Polyharmonic Equation -- Optimal Mechanical Cubature Formulas with Nodes on a Regular Lattice -- Constructing Cubature Formulas with Regular Boundary Layer -- Convergence of Cubature Formulas on Infinitely Differentiable Functions -- Convergence of Cubature Formulas on the Elements of -- The Coefficients of Optimal Quadrature Formulas -- On the Roots of Euler Polynomials -- On the End Roots of Euler Polynomials -- On the Asymptotics of the Roots of the Euler Polynomials -- More on the Zeros of Euler Polynomials -- On the Algebraic Order of Exactness of Formulas of Approximate Integration. 9780387341491 * Differential equations, partial. Numerical analysis. Mathematics. Operator theory. Partial Differential Equations. Numerical Analysis. Applications of Mathematics. Operator Theory. * Demidenko, Gennadii V., edt, http://id.loc.gov/vocabulary/relators/edtVaskevich, Vladimir L., edt, http://id.loc.gov/vocabulary/relators/edt * Title