activity
19992021
most citedGröbner Bases and Generation of Difference Schemes for Partial Differential Equations

38 citations · 281 across the 52 of their papers we have counts for

collaborators

56 papers

hep-ph2021★ 1 cited

Hadronic Vacuum Polarization and Test of Quantum Electrodynamics at Low Energies

V. P. Gerdt, A. Karimkhodzhaev, R. N. Faustov

A hadronic vacuum polarization correction to the photon propagator is found by using the Dubnicka-Meshcheryakov parameterization of the pion electromagnetic form factor and new exp…

cs.SC2020★ 2 cited

Strong Consistency and Thomas Decomposition of Finite Difference Approximations to Systems of Partial Differential Equations

Vladimir P. Gerdt, Daniel Robertz, Yuri A. Blinkov

For a wide class of polynomially nonlinear systems of partial differential equations we suggest an algorithmic approach that combines differential and difference algebra to analyze…

math.NA2020★ 1 cited

On conservative difference schemes for the many-body problem

Vladimir Gerdt, Mikhail Malykh, Leonid Sevastianov +1

A new approach to the construction of difference schemes of any order for the many-body problem that preserves all its algebraic integrals is proposed. We introduced additional var…

quant-ph2020

Quantum Information Scrambling and Entanglement in Bipartite Quantum States

Kapil K. Sharma, Vladimir P. Gerdt

Investigating the influence of quantum information (QI) scrambling on quantum correlations in a physical system is an interesting problem. In this article we establish the mathemat…

quant-ph2019★ 20 cited

Entanglement sudden death and birth effects in two qubits maximally entangled mixed states under quantum channels

Kapil K. Sharma, Vladimir P. Gerdt

In the present article, the robustness of entanglement in two qubits maximally entangled mixed states (MEME) have been studied under quantum decoherence channels. Here we consider…

cs.SC2019

Algorithmic approach to strong consistency analysis of finite difference approximations to PDE systems

Vladimir P. Gerdt, Daniel Robertz

For a wide class of polynomially nonlinear systems of partial differential equations we suggest an algorithmic approach to the s(trong)-consistency analysis of their finite differe…