![]() | 2009 | |
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37 | ![]() ![]() ![]() ![]() ![]() ![]() | Vladimir P. Gerdt, Ernst W. Mayr, Evgenii V. Vorozhtsov: Computer Algebra in Scientific Computing, 11th International Workshop, CASC 2009, Kobe, Japan, September 13-17, 2009. Proceedings Springer 2009 |
36 | ![]() ![]() ![]() ![]() ![]() ![]() | Vladimir P. Gerdt, Robert Kragler, Alexander N. Prokopenya: A Mathematica Package for Simulation of Quantum Computation. CASC 2009: 106-117 |
35 | ![]() ![]() ![]() ![]() ![]() ![]() | Sergey I. Vinitsky, Ochbadrakh Chuluunbaatar, Vladimir P. Gerdt, A. A. Gusev, V. A. Rostovtsev: Symbolic-Numerical Algorithms for Solving Parabolic Quantum Well Problem with Hydrogen-Like Impurity. CASC 2009: 334-349 |
34 | ![]() ![]() ![]() ![]() ![]() ![]() | Vladimir P. Gerdt, Yuri A. Blinkov: Involution and Difference Schemes for the Navier-Stokes Equations. CASC 2009: 94-105 |
33 | ![]() ![]() ![]() ![]() ![]() ![]() | Ochbadrakh Chuluunbaatar, A. A. Gusev, Vladimir P. Gerdt, V. A. Rostovtsev, Sergey I. Vinitsky, A. G. Abrashkevich, Michail S. Kaschiev, V. V. Serov: Erratum to: Program AEAA_v1_0, "POTHMF: A program for computing potential curves and matrix elements of the coupled adiabatic radial equations for a hydrogen-like atom in a homogeneous magnetic field" [Computer Physics Communications 178 (2008) 301]. Computer Physics Communications 180(6): 1011 (2009) |
2008 | ||
32 | ![]() ![]() ![]() ![]() ![]() ![]() | Vladimir P. Gerdt, Mikhail V. Zinin: A pommaret division algorithm for computing Grobner bases in boolean rings. ISSAC 2008: 95-102 |
31 | ![]() ![]() ![]() ![]() ![]() ![]() | Ochbadrakh Chuluunbaatar, A. A. Gusev, Vladimir P. Gerdt, V. A. Rostovtsev, Sergey I. Vinitsky, A. G. Abrashkevich, Michail S. Kaschiev, V. V. Serov: POTHMF: A program for computing potential curves and matrix elements of the coupled adiabatic radial equations for a hydrogen-like atom in a homogeneous magnetic field. Computer Physics Communications 178(4): 301-330 (2008) |
2007 | ||
30 | ![]() ![]() ![]() ![]() ![]() ![]() | Ochbadrakh Chuluunbaatar, Alexander Gusev, Vladimir P. Gerdt, Michail S. Kaschiev, Vitaly Rostovtsev, Valentin Samoylov, Tatyana Tupikova, Sergey I. Vinitsky: A Symbolic-Numerical Algorithm for Solving the Eigenvalue Problem for a Hydrogen Atom in the Magnetic Field: Cylindrical Coordinates. CASC 2007: 118-133 |
29 | ![]() ![]() ![]() ![]() ![]() ![]() | Vladimir P. Gerdt, Arsen Khvedelidze, Yuri Palii: Deducing the Constraints in the Light-Cone SU (3) Yang-Mills Mechanics Via Gröbner Bases. CASC 2007: 145-159 |
28 | ![]() ![]() ![]() ![]() ![]() ![]() | Sergey I. Vinitsky, Vladimir P. Gerdt, A. A. Gusev, Michael S. Kaschiev, Vitaly Rostovtsev, V. N. Samoilov, T. V. Tupikova, Ochbadrakh Chuluunbaatar: A symbolic-numerical algorithm for the computation of matrix elements in the parametric eigenvalue problem. Programming and Computer Software 33(2): 105-116 (2007) |
27 | ![]() ![]() ![]() ![]() ![]() ![]() | Vladimir P. Gerdt, Yuri A. Blinkov: On selection of nonmultiplicative prolongations in computation of Janet bases. Programming and Computer Software 33(3): 147-153 (2007) |
2006 | ||
26 | ![]() ![]() ![]() ![]() ![]() ![]() | Alexander Gusev, Vladimir P. Gerdt, Michail S. Kaschiev, Vitaly Rostovtsev, Valentin Samoylov, Tatyana Tupikova, Sergey I. Vinitsky: A Symbolic-Numerical Algorithm for Solving the Eigenvalue Problem for a Hydrogen Atom in Magnetic Field. CASC 2006: 205-218 |
25 | ![]() ![]() ![]() ![]() ![]() ![]() | Vladimir P. Gerdt: Groebner Bases Applied to Systems of Linear Difference Equations CoRR abs/cs/0611041: (2006) |
24 | ![]() ![]() ![]() ![]() ![]() ![]() | Vladimir P. Gerdt, Yuri A. Blinkov, Vladimir V. Mozzhilkin: Gröbner Bases and Generation of Difference Schemes for Partial Differential Equations CoRR abs/math/0605334: (2006) |
23 | ![]() ![]() ![]() ![]() ![]() ![]() | Sergey I. Vinitsky, Vladimir P. Gerdt, Alexander Gusev, Michail S. Kaschiev, V. A. Rostovtsev, V. N. Samoilov, T. V. Tupikova, Yoshio Uwano: Symbolic algorithm for factorization of the evolution operator of the time-dependent Schrödinger equation. Programming and Computer Software 32(2): 103-113 (2006) |
22 | ![]() ![]() ![]() ![]() ![]() ![]() | Vladimir P. Gerdt, D. A. Yanovich: Effectiveness of involutive criteria in computation of polynomial Janet bases. Programming and Computer Software 32(3): 134-138 (2006) |
2005 | ||
21 | ![]() ![]() ![]() ![]() ![]() ![]() | Vladimir P. Gerdt, Yuri A. Blinkov: Janet-Like Monomial Division. CASC 2005: 174-183 |
20 | ![]() ![]() ![]() ![]() ![]() ![]() | Vladimir P. Gerdt, Yuri A. Blinkov: Janet-Like Gröbner Bases. CASC 2005: 184-195 |
19 | ![]() ![]() ![]() ![]() ![]() ![]() | Alexander Gusev, Vladimir P. Gerdt, Michail S. Kaschiev, Vitaly Rostovtsev, Valentin Samoylov, Tatyana Tupikova, Yoshio Uwano, Sergey I. Vinitsky: Symbolic-Numerical Algorithm for Solving the Time-Dependent Schrödinger Equation by Split-Operator Method. CASC 2005: 244-258 |
18 | ![]() ![]() ![]() ![]() ![]() ![]() | Vladimir P. Gerdt, Daniel Robertz: A Maple Package for Computing Groebner Bases for Linear Recurrence Relations CoRR abs/cs/0509070: (2005) |
17 | ![]() ![]() ![]() ![]() ![]() ![]() | Vladimir P. Gerdt, D. A. Yanovich: Parallel computation of Janet and Gröbner bases over rational numbers. Programming and Computer Software 31(2): 73-80 (2005) |
2003 | ||
16 | ![]() ![]() ![]() ![]() ![]() ![]() | Vladimir P. Gerdt, D. A. Yanovich: Implementation of the FGLM Algorithm and Finding Roots of Polynomial Involutive Systems. Programming and Computer Software 29(2): 72-74 (2003) |
15 | ![]() ![]() ![]() ![]() ![]() ![]() | Giuseppa Carrà Ferro, Vladimir P. Gerdt: Improved Kolchin-Ritt Algorithm. Programming and Computer Software 29(2): 83-87 (2003) |
2002 | ||
14 | ![]() ![]() ![]() ![]() ![]() ![]() | Vladimir P. Gerdt: On an Algorithmic Optimization in Computation of Involutive Bases. Programming and Computer Software 28(2): 62-65 (2002) |
2001 | ||
13 | ![]() ![]() ![]() ![]() ![]() ![]() | Vladimir P. Gerdt, D. A. Yanovich, Yuri A. Blinkov: Fast Search for the Janet Divisor. Programming and Computer Software 27(1): 22-24 (2001) |
1997 | ||
12 | ![]() ![]() ![]() ![]() ![]() ![]() | Vladimir P. Gerdt, Vladimir V. Kornyak: An algorithm for analysis of the structure of finitely presented Lie algebras. Discrete Mathematics & Theoretical Computer Science 1(2): 217-228 (1997) |
1996 | ||
11 | ![]() ![]() ![]() ![]() ![]() ![]() | Vladimir P. Gerdt, Vladimir V. Kornyak: Construction of Finitely Presented Lie Algebras and Superalgebras. J. Symb. Comput. 21(3): 337-349 (1996) |
1991 | ||
10 | ![]() ![]() ![]() ![]() ![]() ![]() | Vladimir P. Gerdt, N. V. Khutornoy, A. Yu. Zharkov: Lie-Bäcklund Symmetries of Coupled Nonlinear Schrödinger Equations. ISSAC 1991: 313-314 |
9 | ![]() ![]() ![]() ![]() ![]() ![]() | Vladimir P. Gerdt: Computer Algebra Tools for Higher Symmetry Analysis of Nonlinear Evolution Equations. Programming Environments for High-Level Scientific Problem Solving 1991: 107-117 |
1990 | ||
8 | ![]() ![]() ![]() ![]() ![]() ![]() | Vladimir P. Gerdt, A. Yu. Zharkov: Computer Generation of Necessary Integrability Conditions for Polynomial-Nonlinear Evolution Systems. ISSAC 1990: 250-254 |
7 | ![]() ![]() ![]() ![]() ![]() ![]() | Vladimir P. Gerdt, N. V. Khutornoy, A. Yu. Zharkov: Solving Algebraic Systems which Arise as Necessary Integrability Conditions for Polynomial-Nonlinear Evolution Equations. ISSAC 1990: 299 |
6 | ![]() ![]() ![]() ![]() ![]() ![]() | Vladimir P. Gerdt, A. Yu. Zharkov: Computer Classification of Integrable Coupled KdV-like Systems. J. Symb. Comput. 10(2): 203-208 (1990) |
1987 | ||
5 | ![]() ![]() ![]() ![]() ![]() ![]() | R. N. Fedorova, Vladimir P. Gerdt, N. N. Govorun, V. P. Shirikov: Computer algebra in physical research of Joint Institute for Nuclear Research. EUROCAL 1987: 1-10 |
4 | ![]() ![]() ![]() ![]() ![]() ![]() | Vladimir P. Gerdt, N. A. Kostov, Z. T. Kostova: Computer algebra and computation of Puiseux expansions of algebraic functions. EUROCAL 1987: 206-207 |
3 | ![]() ![]() ![]() ![]() ![]() ![]() | Vladimir P. Gerdt, A. B. Shabat, S. I. Svinolupov, A. Yu. Zharkov: Computer algebra applications for investigating integrability of nonlinear evolution systems. EUROCAL 1987: 81-92 |
2 | ![]() ![]() ![]() ![]() ![]() ![]() | Vladimir P. Gerdt, A. Yu. Zharkov: Computer classification of integrable seventh order MKdV-like equations. EUROCAL 1987: 93-94 |
1985 | ||
1 | ![]() ![]() ![]() ![]() ![]() ![]() | Vladimir P. Gerdt, A. B. Shvachka, A. Yu. Zharkov: Computer Algebra Application for Classification of Integrable Non-Linear Evolution Equations. J. Symb. Comput. 1(1): 101-107 (1985) |