Petr N. Vabishchevich
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Doctor of Physics and Mathematics, Professor Head of Nuclear Safety institute Laboratory of the Russian Academy of Sciences, Russia E-mail: vabishchevich@gmal.com |
Education
MSc degree in Physics
Physics Department, M.V. Lomonosov Moscow State University (1971 – 1977)
Postgraduate student
Physics Department, M.V. Lomonosov Moscow State (1977 – 1980)
| Doctor’s Degree | |
| Year, organization | 1980, Keldysh Institute of Applied Mathematics, Russian Academy of Sciences |
| Title of the thesis | Numerical solution of the problems of plasma equilibrium and evolution in torroidal configurations |
| Speciality | Computational mathematics |
| The Doctor of Science | |
| Year, organization | 1992, Institute for Mathematical Modeling, Russian Academy of Sciences |
| Title of the thesis | Numerical methods for the solution of unstable evolutionary problems |
| Speciality | Computational mathematics |
Research interests
Theory of stability and correctness of operator-difference schemes
- Conditions for stability of two-and three-level operator-difference schemes with non self adjoint operators
- A strong (coefficient) stability operator-difference schemes
- SM-stability of operator-difference schemes
Additive operator-difference scheme (splitting scheme)
- Vector additive scheme (scheme of multicomponent splitting)
- Regularized additive schemes with 8full approximation
- Additive schemes for system of unsteady equations
Domain decomposition method for nonstationary problems of mathematical physics
- Regionally additive scheme of multicomponent splitting
- Domain decomposition method for systems of evolution equations
- Parallel domain decomposition algorithms for problems of mathematical physics
Numerical methods for solving inverse problems of mathematical physics
- The stability of operator-difference schemes for ill-posed evolution problems
- Regularized difference schemes
- Identification problems of the coefficients and right hand sides of the equations of mathematical physics
Applied Problems
- Problems of hydrodynamics of an incompressible fluid
- Numerical methods for solving poroelastic problems
- Simulation of physical processes in aluminum reduction cell
Publications:
A list of books and publications can be found here