Gerdt Vladimir Petrovich

Publications in Math-Net.Ru

1. On the consistency analysis of finite difference approximations
   
   Zap. Nauchn. Sem. POMI, 468 (2018),  249–266
2. On the ring of local unitary invariants for mixed $X$-states of two qubits
   
   Zap. Nauchn. Sem. POMI, 448 (2016),  107–123
3. Constructing $\mathrm{SU(2)\times U(1)}$ orbit space for qutrit mixed states
   
   Zap. Nauchn. Sem. POMI, 432 (2015),  111–127
4. Describing orbit space of global unitary actions for mixed qudit states
   
   Zap. Nauchn. Sem. POMI, 421 (2014),  68–80
5. $\operatorname{SU}(6)$ Casimir invariants and $\operatorname{SU}(2)\otimes\operatorname{SU}(3)$ scalars for a mixed qubit-qutrit states
   
   Zap. Nauchn. Sem. POMI, 387 (2011),  102–121
6. Estimations of positive roots of polynomials
   
   Zap. Nauchn. Sem. POMI, 373 (2009),  280–289
7. On the ring of local invariants for a pair of the entangled $q$-bits
   
   Zap. Nauchn. Sem. POMI, 373 (2009),  104–123
8. Algebraically simple involutive differential systems and Cauchy problem
   
   Zap. Nauchn. Sem. POMI, 373 (2009),  94–103
9. Light-cone Yang–Mills mechanics: $SU(2)$ vs. $SU(3)$
   
   TMF, 155:1 (2008),  62–73
10. Gröbner Bases and Generation of Difference Schemes for Partial Differential Equations
    
    SIGMA, 2 (2006), 051, 26 pp.
11. Application of Gröbner bases for solving polynomial-nonlinear boundary problems with inexactly known boundary conditions
    
    Fundam. Prikl. Mat., 5:3 (1999),  675–686
12. Involutive division technique: some generalizations and optimizations
    
    Zap. Nauchn. Sem. POMI, 258 (1999),  185–207
13. The construction of finitely represented Lie algebras
    
    Zh. Vychisl. Mat. Mat. Fiz., 36:11 (1996),  20–34
14. The use of computer algebra to investigate the integrability of nonlinear evolution systems
    
    Zh. Vychisl. Mat. Mat. Fiz., 28:11 (1988),  1674–1684
15. Cubic approximation and local restrictions on the functional arbitrariness in the general solution of the Chew–Low equations
    
    TMF, 55:3 (1983),  469–474
16. Solution of Chew–Low equations in the quadratic approximation
    
    TMF, 52:3 (1982),  384–392
17. Global structure of the general solution of the Chew–Low equations
    
    TMF, 48:3 (1981),  346–355
18. Analytic calculations on digital computers for applications in physics and mathematics
    
    UFN, 130:1 (1980),  113–147
19. Analytic calculation of the invariant curve of the Chew–Low equations
    
    Zh. Vychisl. Mat. Mat. Fiz., 19:6 (1979),  1601–1608
20. Local form of a solution of the Chew–Low equations
    
    TMF, 24:2 (1975),  155–163


21. Mikhail Grigor'evich Meshcheryakov (Obituary)
    
    UFN, 164:9 (1994),  1011–1012
22. Quarks, gluons and lattices
    
    UFN, 146:4 (1985),  723