Vladimir P. Gerdt

ORCID

Publication Activity (10 Years)

Years Active: 1985-2021
Publications (10 Years): 32

Top Venues

CASC

CoRR

ISSAC

Program. Comput. Softw.

Publications

Kapil K. Sharma, Vladimir P. Gerdt
Quantum information scrambling and entanglement in bipartite quantum states. Quantum Inf. Process. 20 (6) (2021)
Russell J. Bradford, James H. Davenport, Matthew England, Hassan Errami, Vladimir P. Gerdt, Dima Grigoriev, Charles Tapley Hoyt, Marek Kosta, Ovidiu Radulescu, Thomas Sturm, Andreas Weber
Identifying the parametric occurrence of multiple steady states for some biological networks. J. Symb. Comput. 98 (2020)
Galmandakh Chuluunbaatar, Alexander Gusev, Vladimir Derbov, Sergue Vinitsky, Ochbadrakh Chuluunbaatar, Luong Le Hai, Vladimir P. Gerdt
A Maple Implementation of the Finite Element Method for Solving Boundary-Value Problems for Systems of Second-Order Ordinary Differential Equations. MC (2020)
Dmitry A. Lyakhov, Vladimir P. Gerdt, Dominik L. Michels
On the algorithmic linearizability of nonlinear ordinary differential equations. J. Symb. Comput. 98 (2020)
Vladimir P. Gerdt, Daniel Robertz, Yuri A. Blinkov
Strong Consistency and Thomas Decomposition of Finite Difference Approximations to Systems of Partial Differential Equations. CoRR (2020)
Kapil K. Sharma, Vladimir P. Gerdt, P. V. Gerdt
Milestone Developments in Quantum Information and No-Go Theorems. DCCN (2020)
Algirdas Deveikis, Alexander Gusev, Vladimir P. Gerdt, Sergue I. Vinitsky, Andrzej Gózdz, Aleksandra Pedrak, Cestmir Burdik, George S. Pogosyan
Symbolic-Numeric Algorithm for Computing Orthonormal Basis of O(5)˟ SU(1, 1) Group. CASC (2020)
Russell J. Bradford, James H. Davenport, Matthew England, Hassan Errami, Vladimir P. Gerdt, Dima Grigoriev, Charles Tapley Hoyt, Marek Kosta, Ovidiu Radulescu, Thomas Sturm, Andreas Weber
Identifying the Parametric Occurrence of Multiple Steady States for some Biological Networks. CoRR (2019)
Yury A. Blinkov, Vladimir P. Gerdt, I. A. Pankratov, E. A. Kotkova
Construction of a New Implicit Difference Scheme for 2D Boussinesq Paradigm Equation. CASC (2019)
Vladimir P. Gerdt, Daniel Robertz
Algorithmic approach to strong consistency analysis of finite difference approximations to PDE systems. CoRR (2019)
Algirdas Deveikis, A. A. Gusev, Vladimir P. Gerdt, Sergey I. Vinitsky, Andrzej Gózdz, Aleksandra Pedrak, Cestmir Burdik
Symbolic-Numerical Algorithm for Large Scale Calculations the Orthonormal SU(3) BM Basis. CASC (2019)
Vladimir P. Gerdt, Daniel Robertz
Algorithmic Approach to Strong Consistency Analysis of Finite Difference Approximations to PDE Systems. ISSAC (2019)
Xiaojing Zhang, Vladimir P. Gerdt, Yury A. Blinkov
Algebraic Construction of a Strongly Consistent, Permutationally Symmetric and Conservative Difference Scheme for 3D Steady Stokes Flow. Symmetry 11 (2) (2019)
Vladimir P. Gerdt, Markus Lange-Hegermann, Daniel Robertz
The MAPLE package TDDS for computing Thomas decompositions of systems of nonlinear PDEs. Comput. Phys. Commun. 234 (2019)
Yury A. Blinkov, Vladimir P. Gerdt, Dmitry A. Lyakhov, Dominik L. Michels
A Strongly Consistent Finite Difference Scheme for Steady Stokes Flow and its Modified Equations. CASC (2018)
Algirdas Deveikis, A. A. Gusev, Vladimir P. Gerdt, Sergey I. Vinitsky, Andrzej Gózdz, Aleksandra Pedrak
Symbolic Algorithm for Generating the Orthonormal Bargmann-Moshinsky Basis for \mathrm SU(3) Group. CASC (2018)
A. A. Gusev, Vladimir P. Gerdt, Ochbadrakh Chuluunbaatar, G. Chuluunbaatar, Sergey I. Vinitsky, V. L. Derbov, Andrzej Gózdz, Pavel Krassovitskiy
Symbolic-Numerical Algorithms for Solving Elliptic Boundary-Value Problems Using Multivariate Simplex Lagrange Elements. CASC (2018)
Yury A. Blinkov, Vladimir P. Gerdt, Dmitry A. Lyakhov, Dominik L. Michels
A Strongly Consistent Finite Difference Scheme for Steady Stokes Flow and its Modified Equations. CoRR (2018)
A. A. Gusev, Vladimir P. Gerdt, Ochbadrakh Chuluunbaatar, G. Chuluunbaatar, Sergey I. Vinitsky, V. L. Derbov, Andrzej Gózdz
Symbolic-Numerical Algorithm for Generating Interpolation Multivariate Hermite Polynomials of High-Accuracy Finite Element Method. CASC (2017)
Pierluigi Amodio, Yuri A. Blinkov, Vladimir P. Gerdt, Roberto La Scala
Algebraic construction and numerical behavior of a new s-consistent difference scheme for the 2D Navier-Stokes equations. Appl. Math. Comput. 314 (2017)
Dmitry A. Lyakhov, Vladimir P. Gerdt, Dominik Ludewig Michels
Algorithmic Verification of Linearizability for Ordinary Differential Equations. CoRR (2017)
Dmitry A. Lyakhov, Vladimir P. Gerdt, Dominik L. Michels
Algorithmic Verification of Linearizability for Ordinary Differential Equations. ISSAC (2017)
Yuri A. Blinkov, Vladimir P. Gerdt, K. B. Marinov
Discretization of quasilinear evolution equations by computer algebra methods. Program. Comput. Softw. 43 (2) (2017)
Russell J. Bradford, James H. Davenport, Matthew England, Hassan Errami, Vladimir P. Gerdt, Dima Grigoriev, Charles Tapley Hoyt, Marek Kosta, Ovidiu Radulescu, Thomas Sturm, Andreas Weber
A Case Study on the Parametric Occurrence of Multiple Steady States. ISSAC (2017)
Russell J. Bradford, James H. Davenport, Matthew England, Hassan Errami, Vladimir P. Gerdt, Dima Grigoriev, Charles Tapley Hoyt, Marek Kosta, Ovidiu Radulescu, Thomas Sturm, Andreas Weber
A Case Study on the Parametric Occurrence of Multiple Steady States. CoRR (2017)
Dmitry A. Lyakhov, Vladimir P. Gerdt, Andreas G. Weber, Dominik L. Michels
Symbolic-Numeric Integration of the Dynamical Cosserat Equations. CASC (2017)
A. A. Gusev, Vladimir P. Gerdt, Ochbadrakh Chuluunbaatar, G. Chuluunbaatar, Sergey I. Vinitsky, V. L. Derbov, Andrzej Gózdz
Symbolic-Numerical Algorithms for Solving the Parametric Self-adjoint 2D Elliptic Boundary-Value Problem Using High-Accuracy Finite Element Method. CASC (2017)
Alexander Gusev, Vladimir P. Gerdt, Luong Le Hai, V. L. Derbov, Sergey I. Vinitsky, Ochbadrakh Chuluunbaatar
Symbolic-Numeric Algorithms for Solving BVPs for a System of ODEs of the Second Order: Multichannel Scattering and Eigenvalue Problems. CASC (2016)
A. A. Gusev, Vladimir P. Gerdt, Sergey I. Vinitsky, V. L. Derbov, Andrzej Gózdz, Aleksandra Pedrak, A. Szulerecka, A. Dobrowolski
Symbolic Algorithm for Generating Irreducible Rotational-Vibrational Bases of Point Groups. CASC (2016)
Vladimir P. Gerdt, Arsen Khvedelidze, Yuri Palii
On the ring of local unitary invariants for mixed X-states of two qubits. CoRR (2016)
Dominik L. Michels, Dmitry A. Lyakhov, Vladimir P. Gerdt, Zahid Hossain, Ingmar H. Riedel-Kruse, Andreas G. Weber
On the General Analytical Solution of the Kinematic Cosserat Equations. CASC (2016)
Vladimir P. Gerdt, Daniel Robertz
Lagrangian constraints and differential Thomas decomposition. Adv. Appl. Math. 72 (2016)
Vladimir P. Gerdt, Daniel Robertz
Lagrangian Constraints and Differential Thomas Decomposition. CoRR (2015)
A. A. Gusev, Vladimir P. Gerdt, Sergey I. Vinitsky, V. L. Derbov, Andrzej Gózdz, Aleksandra Pedrak
Symbolic Algorithm for Generating Irreducible Bases of Point Groups in the Space of SO(3) Group. CASC (2015)
Dominik Ludewig Michels, Dmitry A. Lyakhov, Vladimir P. Gerdt, Gerrit Alexander Sobottka, Andreas G. Weber
On the Partial Analytical Solution of the Kirchhoff Equation. CASC (2015)
Dominik Ludewig Michels, Dmitry A. Lyakhov, Vladimir P. Gerdt, Gerrit Alexander Sobottka, Andreas G. Weber
Lie Symmetry Analysis for Cosserat Rods. CASC (2014)
Vladimir P. Gerdt, Amir Hashemi, Benyamin M.-Alizadeh
Involutive Bases Algorithm Incorporating F5 Criterion. CoRR (2013)
Pierluigi Amodio, Yuri A. Blinkov, Vladimir P. Gerdt, Roberto La Scala
On Consistency of Finite Difference Approximations to the Navier-Stokes Equations. CASC (2013)
Pierluigi Amodio, Yuri A. Blinkov, Vladimir P. Gerdt, Roberto La Scala
On Consistency of Finite Difference Approximations to the Navier-Stokes Equations. CoRR (2013)
Vladimir P. Gerdt, Alexander N. Prokopenya
Simulation of quantum error correction by means of QuantumCircuit package. Program. Comput. Softw. 39 (3) (2013)
Vladimir P. Gerdt, Amir Hashemi
On the use of Buchberger criteria in G2V algorithm for calculating Gröbner bases. Program. Comput. Softw. 39 (2) (2013)
Vladimir P. Gerdt, Alexander N. Prokopenya
Simulation of Quantum Error Correction with Mathematica. CASC (2013)
Vladimir P. Gerdt, Amir Hashemi, Benyamin M.-Alizadeh
criterion. J. Symb. Comput. 59 (2013)
Vladimir P. Gerdt, Amir Hashemi
Comprehensive Involutive Systems. CASC (2012)
Thomas Bächler, Vladimir P. Gerdt, Markus Lange-Hegermann, Daniel Robertz
Algorithmic Thomas decomposition of algebraic and differential systems. J. Symb. Comput. 47 (10) (2012)
Vladimir P. Gerdt, Daniel Robertz
Computation of Difference Gröbner Bases. Comput. Sci. J. Moldova 20 (2) (2012)
Alexander Gusev, Sergue I. Vinitsky, Ochbadrakh Chuluunbaatar, Vladimir P. Gerdt, Luong Le Hai, Vitaly Rostovtsev
Symbolic-Numerical Calculations of High-|m| Rydberg States and Decay Rates in Strong Magnetic Fields. CASC (2012)
Vladimir P. Gerdt, Amir Hashemi
Comprehensive Involutive Systems CoRR (2012)
Vladimir P. Gerdt, Daniel Robertz
Computation of Difference Groebner Bases CoRR (2012)
Vladimir P. Gerdt, Yuri A. Blinkov
Involutive Division Generated by an Antigraded Monomial Ordering. CASC (2011)
Vladimir P. Gerdt
Consistency Analysis of Finite Difference Approximations to PDE Systems. MMCP (2011)
Vladimir P. Gerdt, Alexander N. Prokopenya
The Circuit Model of Quantum Computation and Its Simulation with Mathematica. MMCP (2011)
Vladimir P. Gerdt, Amir Hashemi, Benyamin M.-Alizadeh
A Variant of Gerdt's Algorithm for Computing Involutive Bases CoRR (2011)
A. A. Gusev, Sergey I. Vinitsky, Ochbadrakh Chuluunbaatar, Vladimir P. Gerdt, V. A. Rostovtsev
Symbolic-Numerical Algorithms to Solve the Quantum Tunneling Problem for a Coupled Pair of Ions. CASC (2011)
Vladimir P. Gerdt
Consistency Analysis of Finite Difference Approximations to PDE Systems CoRR (2011)
Thomas Bächler, Vladimir P. Gerdt, Markus Lange-Hegermann, Wilhelm Plesken, Daniel Robertz
Thomas decomposition and its applications. ACM Commun. Comput. Algebra 44 (3/4) (2010)
Thomas Bächler, Vladimir P. Gerdt, Markus Lange-Hegermann, Daniel Robertz
Thomas Decomposition of Algebraic and Differential Systems. CASC (2010)
Vladimir P. Gerdt, Daniel Robertz
Consistency of finite difference approximations for linear PDE systems and its algorithmic verification. ISSAC (2010)
Vladimir P. Gerdt, Alexander N. Prokopenya
Some algorithms for calculating unitary matrices for quantum circuits. Program. Comput. Softw. 36 (2) (2010)
Vladimir P. Gerdt, Mikhail V. Zinin, Yuri A. Blinkov
On computation of Boolean involutive bases. Program. Comput. Softw. 36 (2) (2010)
A. A. Gusev, Ochbadrakh Chuluunbaatar, Vladimir P. Gerdt, V. A. Rostovtsev, Sergey I. Vinitsky, V. L. Derbov, Vladislav V. Serov
Symbolic-Numeric Algorithms for Computer Analysis of Spheroidal Quantum Dot Models. CASC (2010)
Ochbadrakh Chuluunbaatar, A. A. Gusev, Vladimir P. Gerdt, V. A. Rostovtsev, Sergey I. Vinitsky, A. G. Abrashkevich, Michail S. Kaschiev, Vladislav 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]. Comput. Phys. Commun. 180 (6) (2009)
Vladimir P. Gerdt, Yuri A. Blinkov
Involution and Difference Schemes for the Navier-Stokes Equations. CASC (2009)
Vladimir P. Gerdt, Mikhail V. Zinin
Role of involutive criteria in computing Boolean Gröbner bases. Program. Comput. Softw. 35 (2) (2009)
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)
Vladimir P. Gerdt, Robert Kragler, Alexander N. Prokopenya
A Mathematica Package for Simulation of Quantum Computation. CASC (2009)
Ochbadrakh Chuluunbaatar, A. A. Gusev, Vladimir P. Gerdt, V. A. Rostovtsev, Sergey I. Vinitsky, A. G. Abrashkevich, Michail S. Kaschiev, Vladislav 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. Comput. Phys. Commun. 178 (4) (2008)
Vladimir P. Gerdt, Mikhail V. Zinin
\mathbb{F}_2. Program. Comput. Softw. 34 (4) (2008)
Yuri A. Blinkov, Vladimir P. Gerdt
Specialized computer algebra system GINV. Program. Comput. Softw. 34 (2) (2008)
Vladimir P. Gerdt, Mikhail V. Zinin
A pommaret division algorithm for computing Grobner bases in boolean rings. ISSAC (2008)
Vladimir P. Gerdt, Yuri A. Blinkov
On selection of nonmultiplicative prolongations in computation of Janet bases. Program. Comput. Softw. 33 (3) (2007)
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. Program. Comput. Softw. 33 (2) (2007)
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)
Vladimir P. Gerdt, Arsen Khvedelidze, Yuri Palii
(3) Yang-Mills Mechanics Via Gröbner Bases. CASC (2007)
Vladimir P. Gerdt, D. A. Yanovich
Effectiveness of involutive criteria in computation of polynomial Janet bases. Program. Comput. Softw. 32 (3) (2006)
Vladimir P. Gerdt
Groebner Bases Applied to Systems of Linear Difference Equations CoRR (2006)
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. Program. Comput. Softw. 32 (2) (2006)
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)
Vladimir P. Gerdt, Yuri A. Blinkov, Vladimir V. Mozzhilkin
Gröbner Bases and Generation of Difference Schemes for Partial Differential Equations CoRR (2006)
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)
Vladimir P. Gerdt, D. A. Yanovich
Parallel computation of Janet and Gröbner bases over rational numbers. Program. Comput. Softw. 31 (2) (2005)
Vladimir P. Gerdt, Daniel Robertz
A Maple Package for Computing Groebner Bases for Linear Recurrence Relations CoRR (2005)
Vladimir P. Gerdt, Denis A. Yanovich
Experimental Analysis of Involutive Criteria. Algorithmic Algebra and Logic (2005)
Vladimir P. Gerdt, Yuri A. Blinkov
Janet-Like Gröbner Bases. CASC (2005)
Vladimir P. Gerdt, Yuri A. Blinkov
Janet-Like Monomial Division. CASC (2005)
Giuseppa Carrà Ferro, Vladimir P. Gerdt
Improved Kolchin-Ritt Algorithm. Program. Comput. Softw. 29 (2) (2003)
Vladimir P. Gerdt, D. A. Yanovich
Implementation of the FGLM Algorithm and Finding Roots of Polynomial Involutive Systems. Program. Comput. Softw. 29 (2) (2003)
Vladimir P. Gerdt
On an Algorithmic Optimization in Computation of Involutive Bases. Program. Comput. Softw. 28 (2) (2002)
Vladimir P. Gerdt, Yuri A. Blinkov, Denis A. Yanovich
Construction of Janet Bases II. Polynomial Bases. CASC (2001)
Vladimir P. Gerdt, Yuri A. Blinkov, Denis A. Yanovich
Construction of Janet Bases I. Monomial Bases. CASC (2001)
Vladimir P. Gerdt, D. A. Yanovich, Yuri A. Blinkov
Fast Search for the Janet Divisor. Program. Comput. Softw. 27 (1) (2001)
Vladimir P. Gerdt, Vladimir V. Kornyak, Matthias Berth, Günter Czichowski
Construction of Involutive Monomial Sets for Different Involutive Divisions. CASC (1999)
Vladimir P. Gerdt, Soso A. Gogilidze
Constrained Hamiltonian Systems and Gröbner Bases. CASC (1999)
Vladimir P. Gerdt
Completion of Linear Differential Systems to Involution. CASC (1999)
Vladimir P. Gerdt, Vladimir V. Kornyak
An algorithm for analysis of the structure of finitely presented Lie algebras. Discret. Math. Theor. Comput. Sci. 1 (2) (1997)
Vladimir P. Gerdt, Yuri A. Blinkov
Minimal involutive bases. SIGSAM Bull. 31 (3) (1997)
Vladimir P. Gerdt, Vladimir V. Kornyak
Construction of Finitely Presented Lie Algebras and Superalgebras. J. Symb. Comput. 21 (3) (1996)
Vladimir P. Gerdt, Vladimir V. Kornyak
An Implementation in C of an Algorithm for Construction of Finitely Presented Lie Superalgebrasz. Comput. Sci. J. Moldova 4 (3) (1996)
Vladimir P. Gerdt, N. V. Khutornoy, A. Yu. Zharkov
Lie-Bäcklund Symmetries of Coupled Nonlinear Schrödinger Equations. ISSAC (1991)
Vladimir P. Gerdt
Computer Algebra Tools for Higher Symmetry Analysis of Nonlinear Evolution Equations. Programming Environments for High-Level Scientific Problem Solving (1991)

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Publication Activity (10 Years)

Top Topics

Top Venues

Vladimir P. Gerdt