Petr N. Vabishchevich

Doctor of Physics and Mathematics, Professor
Head of  Nuclear Safety institute Laboratory of the Russian Academy of Sciences, Russia



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


A list of books and publications can be found here