Differential Equations and Numerical Mathematics

Section A. Cubature Formulae and Functional Analysis

1. On an Analogue of Plancherel's Theorem and on the Qualitative Character of the Spectrum of a Self-adjoint Operator

2. Self-adjoint Operators in Spaces of Functions of an Infinite Number of Variables

3. Multidimensional Non-linear Spectral Boundary Value Problems and Soliton Superposition of Their Asymptotic Solutions

4. Réduction de la dimension dans un problème de contrôle optimal

5. Embedding Theorems for a Class of Weight Spaces and Applications

6. Theory of Multipliers in Spaces of Differentiable Functions and Applications

Section B. Differential Equations

7. On the Roots of Euler Polynomials

8. On Certain Mathematical Problems in Hydrodynamics

9. On the Solvability of the Sturm-Liouville Inverse Problem on the Entire Line

10. Asymptotic Properties of Solutions of Partial Differential Equations

11. Boundary Value Problems for Weakly Elliptic Systems of Differential Equations

Section C. Numerical Mathematics

12. A Generalization of the Finite Element Method for Solution of Hyperbolic Equations

13. An Asymptotic Minimization of Computational Costs for Solving Strongly Elliptic Boundary Value Problems

14. On Optimal Algorithms for Solving the Problems of Numerical Mathematics

15. Game Theory and Optimality of Iterative Methods

16. The Block-relaxation Method for Solution of the Dirichlet Problem

17. On the Asymptotic Behavior of Solutions of the Homogeneous Transport Equation

18. The Method of Inner Boundary Conditions and Its Applications. A New Approach to the Numerical Solution of Boundary Integral Equations

19. Inverse Problems and Energy Inequalities