Selected Works of S.L. Sobolev: Volume I: Equations of Mathematical Physics, Computational Mathematics, and Cubature FormulasGennadii V. Demidenko, Vladimir L. Vaskevich Springer Science & Business Media, 15 de des. 2006 - 604 pàgines S.L. Sobolev (1908–1989) was a great mathematician of the twentieth century. His selected works included in this volume laid the foundations for intensive development of the modern theory of partial differential equations and equations of mathematical physics, and they were a gold mine for new directions of functional analysis and computational mathematics. The topics covered in this volume include Sobolev’s fundamental works on equations of mathematical physics, computational mathematics, and cubature formulas. Some of the articles are generally unknown to mathematicians because they were published in journals that are difficult to access. |
Continguts
| 1 | |
| 3 | |
| 7 | |
Cubature Formulas on the Sphere Invariant under Finite | 10 |
Sobolev | 16 |
Convergence of Cubature Formulas on Infinitely | 22 |
On a New Method in the Plane Problem on Elastic | 45 |
On Application of a New Method to Study Elastic | 81 |
On a New Problem of Mathematical Physics | 279 |
On Motion of a Symmetric Top with a Cavity Filled with | 333 |
On a Class of Problems of Mathematical Physics | 383 |
Sobolev | 405 |
Evaluation of Integrals of Infinitely Differentiable | 415 |
Certain Modern Questions of Computational Mathematics | 441 |
Constructing Cubature Formulas with Regular Boundary | 549 |
Sobolev | 557 |
On Vibrations of a HalfPlane and a Layer with Arbitrary | 131 |
On a New Method of Solving Problems about Propagation | 168 |
Functionally Invariant Solutions of the Wave Equation | 195 |
Sobolev | 263 |
Sobolev | 566 |
On the End Roots of Euler Polynomials | 573 |
On the Algebraic Order of Exactness of Formulas | 591 |
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Selected Works of S.L. Sobolev: Volume I: Equations of Mathematical Physics ... Gennadii V. Demidenko,Vladimir Vaskevich Previsualització no disponible - 2010 |
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