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- Finite-difference methods for equations of mathematical physics
- Mathematical modelling of applied problems
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- Convergence of FDS approximating generalized solutions of quasilinear with unbounded nonlinearity parabolic equations with mixed derivatives.
- Monotone FDM.
- Numerical methods for systems of quasilinear parabolic and elliptic equations.
- Blow-up for IBVP for nonlinear parabolic equations and numerical methods.
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- Finite-difference methods for equations of mathematical physics
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- Monotone FDM arbitrary order of accuracy for linear and nonlinear problem of mathematical physics
- Investigation of the stability FDS approximating nonlinear unbounded equations of mathematical physics with nonlinearities
- Compact FDS on usual stencils
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