Vladimir P. Gerdt

According to our database1, Vladimir P. Gerdt authored at least 95 papers between 1985 and 2020.

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2020
On the algorithmic linearizability of nonlinear ordinary differential equations.
J. Symb. Comput., 2020

Identifying the parametric occurrence of multiple steady states for some biological networks.
J. Symb. Comput., 2020

Strong Consistency and Thomas Decomposition of Finite Difference Approximations to Systems of Partial Differential Equations.
CoRR, 2020

Symbolic-Numeric Algorithm for Computing Orthonormal Basis of O(5)˟ SU(1, 1) Group.
Proceedings of the Computer Algebra in Scientific Computing - 22nd International Workshop, 2020

2019
Algebraic Construction of a Strongly Consistent, Permutationally Symmetric and Conservative Difference Scheme for 3D Steady Stokes Flow.
Symmetry, 2019

The MAPLE package TDDS for computing Thomas decompositions of systems of nonlinear PDEs.
Comput. Phys. Commun., 2019

Algorithmic Approach to Strong Consistency Analysis of Finite Difference Approximations to PDE Systems.
Proceedings of the 2019 on International Symposium on Symbolic and Algebraic Computation, 2019

Symbolic-Numerical Algorithm for Large Scale Calculations the Orthonormal SU(3) BM Basis.
Proceedings of the Computer Algebra in Scientific Computing - 21st International Workshop, 2019

Construction of a New Implicit Difference Scheme for 2D Boussinesq Paradigm Equation.
Proceedings of the Computer Algebra in Scientific Computing - 21st International Workshop, 2019

2018
Symbolic-Numerical Algorithms for Solving Elliptic Boundary-Value Problems Using Multivariate Simplex Lagrange Elements.
Proceedings of the Computer Algebra in Scientific Computing - 20th International Workshop, 2018

Symbolic Algorithm for Generating the Orthonormal Bargmann-Moshinsky Basis for \mathrm SU(3) Group.
Proceedings of the Computer Algebra in Scientific Computing - 20th International Workshop, 2018

A Strongly Consistent Finite Difference Scheme for Steady Stokes Flow and its Modified Equations.
Proceedings of the Computer Algebra in Scientific Computing - 20th International Workshop, 2018

2017
Discretization of quasilinear evolution equations by computer algebra methods.
Program. Comput. Softw., 2017

Algebraic construction and numerical behavior of a new s-consistent difference scheme for the 2D Navier-Stokes equations.
Appl. Math. Comput., 2017

Algorithmic Verification of Linearizability for Ordinary Differential Equations.
Proceedings of the 2017 ACM on International Symposium on Symbolic and Algebraic Computation, 2017

A Case Study on the Parametric Occurrence of Multiple Steady States.
Proceedings of the 2017 ACM on International Symposium on Symbolic and Algebraic Computation, 2017

Symbolic-Numeric Integration of the Dynamical Cosserat Equations.
Proceedings of the Computer Algebra in Scientific Computing - 19th International Workshop, 2017

Symbolic-Numerical Algorithms for Solving the Parametric Self-adjoint 2D Elliptic Boundary-Value Problem Using High-Accuracy Finite Element Method.
Proceedings of the Computer Algebra in Scientific Computing - 19th International Workshop, 2017

Symbolic-Numerical Algorithm for Generating Interpolation Multivariate Hermite Polynomials of High-Accuracy Finite Element Method.
Proceedings of the Computer Algebra in Scientific Computing - 19th International Workshop, 2017

2016
On the ring of local unitary invariants for mixed X-states of two qubits.
CoRR, 2016

Lagrangian constraints and differential Thomas decomposition.
Adv. Appl. Math., 2016

On the General Analytical Solution of the Kinematic Cosserat Equations.
Proceedings of the Computer Algebra in Scientific Computing - 18th International Workshop, 2016

Symbolic Algorithm for Generating Irreducible Rotational-Vibrational Bases of Point Groups.
Proceedings of the Computer Algebra in Scientific Computing - 18th International Workshop, 2016

Symbolic-Numeric Algorithms for Solving BVPs for a System of ODEs of the Second Order: Multichannel Scattering and Eigenvalue Problems.
Proceedings of the Computer Algebra in Scientific Computing - 18th International Workshop, 2016

2015
On the Partial Analytical Solution of the Kirchhoff Equation.
Proceedings of the Computer Algebra in Scientific Computing - 17th International Workshop, 2015

Symbolic Algorithm for Generating Irreducible Bases of Point Groups in the Space of SO(3) Group.
Proceedings of the Computer Algebra in Scientific Computing - 17th International Workshop, 2015

2014
Lie Symmetry Analysis for Cosserat Rods.
Proceedings of the Computer Algebra in Scientific Computing - 16th International Workshop, 2014

2013
Simulation of quantum error correction by means of QuantumCircuit package.
Program. Comput. Softw., 2013

On the use of Buchberger criteria in G2V algorithm for calculating Gröbner bases.
Program. Comput. Softw., 2013

Involutive bases algorithm incorporating F<sub>5</sub> criterion.
J. Symb. Comput., 2013

Involutive Bases Algorithm Incorporating F5 Criterion.
CoRR, 2013

Simulation of Quantum Error Correction with Mathematica.
Proceedings of the Computer Algebra in Scientific Computing - 15th International Workshop, 2013

On Consistency of Finite Difference Approximations to the Navier-Stokes Equations.
Proceedings of the Computer Algebra in Scientific Computing - 15th International Workshop, 2013

2012
Algorithmic Thomas decomposition of algebraic and differential systems.
J. Symb. Comput., 2012

Computation of Difference Gröbner Bases.
Comput. Sci. J. Moldova, 2012

Computation of Difference Groebner Bases
CoRR, 2012

Symbolic-Numerical Calculations of High-|m| Rydberg States and Decay Rates in Strong Magnetic Fields.
Proceedings of the Computer Algebra in Scientific Computing - 14th International Workshop, 2012

Comprehensive Involutive Systems.
Proceedings of the Computer Algebra in Scientific Computing - 14th International Workshop, 2012

2011
A Variant of Gerdt's Algorithm for Computing Involutive Bases
CoRR, 2011

The Circuit Model of Quantum Computation and Its Simulation with Mathematica.
Proceedings of the Mathematical Modeling and Computational Science, 2011

Consistency Analysis of Finite Difference Approximations to PDE Systems.
Proceedings of the Mathematical Modeling and Computational Science, 2011

Symbolic-Numerical Algorithms to Solve the Quantum Tunneling Problem for a Coupled Pair of Ions.
Proceedings of the Computer Algebra in Scientific Computing - 13th International Workshop, 2011

Involutive Division Generated by an Antigraded Monomial Ordering.
Proceedings of the Computer Algebra in Scientific Computing - 13th International Workshop, 2011

2010
On computation of Boolean involutive bases.
Program. Comput. Softw., 2010

Some algorithms for calculating unitary matrices for quantum circuits.
Program. Comput. Softw., 2010

Thomas decomposition and its applications.
ACM Commun. Comput. Algebra, 2010

Consistency of finite difference approximations for linear PDE systems and its algorithmic verification.
Proceedings of the Symbolic and Algebraic Computation, International Symposium, 2010

Symbolic-Numeric Algorithms for Computer Analysis of Spheroidal Quantum Dot Models.
Proceedings of the Computer Algebra in Scientific Computing - 12th International Workshop, 2010

Thomas Decomposition of Algebraic and Differential Systems.
Proceedings of the Computer Algebra in Scientific Computing - 12th International Workshop, 2010

2009
Role of involutive criteria in computing Boolean Gröbner bases.
Program. Comput. Softw., 2009

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., 2009

Symbolic-Numerical Algorithms for Solving Parabolic Quantum Well Problem with Hydrogen-Like Impurity.
Proceedings of the Computer Algebra in Scientific Computing, 11th International Workshop, 2009

A Mathematica Package for Simulation of Quantum Computation.
Proceedings of the Computer Algebra in Scientific Computing, 11th International Workshop, 2009

Involution and Difference Schemes for the Navier-Stokes Equations.
Proceedings of the Computer Algebra in Scientific Computing, 11th International Workshop, 2009

2008
Involutive method for computing Gröbner bases over \mathbb<i>F</i><sub>2</sub> \mathbb{F}_2.
Program. Comput. Softw., 2008

Specialized computer algebra system GINV.
Program. Comput. Softw., 2008

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., 2008

A pommaret division algorithm for computing Grobner bases in boolean rings.
Proceedings of the Symbolic and Algebraic Computation, International Symposium, 2008

2007
A symbolic-numerical algorithm for the computation of matrix elements in the parametric eigenvalue problem.
Program. Comput. Softw., 2007

On selection of nonmultiplicative prolongations in computation of Janet bases.
Program. Comput. Softw., 2007

Deducing the Constraints in the Light-Cone <i>SU</i> (3) Yang-Mills Mechanics Via Gröbner Bases.
Proceedings of the Computer Algebra in Scientific Computing, 10th International Workshop, 2007

A Symbolic-Numerical Algorithm for Solving the Eigenvalue Problem for a Hydrogen Atom in the Magnetic Field: Cylindrical Coordinates.
Proceedings of the Computer Algebra in Scientific Computing, 10th International Workshop, 2007

2006
Symbolic algorithm for factorization of the evolution operator of the time-dependent Schrödinger equation.
Program. Comput. Softw., 2006

Effectiveness of involutive criteria in computation of polynomial Janet bases.
Program. Comput. Softw., 2006

Gröbner Bases and Generation of Difference Schemes for Partial Differential Equations
CoRR, 2006

Groebner Bases Applied to Systems of Linear Difference Equations
CoRR, 2006

A Symbolic-Numerical Algorithm for Solving the Eigenvalue Problem for a Hydrogen Atom in Magnetic Field.
Proceedings of the Computer Algebra in Scientific Computing, 9th International Workshop, 2006

2005
Parallel computation of Janet and Gröbner bases over rational numbers.
Program. Comput. Softw., 2005

A Maple Package for Computing Groebner Bases for Linear Recurrence Relations
CoRR, 2005

Symbolic-Numerical Algorithm for Solving the Time-Dependent Schrödinger Equation by Split-Operator Method.
Proceedings of the Computer Algebra in Scientific Computing, 8th International Workshop, 2005

Janet-Like Gröbner Bases.
Proceedings of the Computer Algebra in Scientific Computing, 8th International Workshop, 2005

Janet-Like Monomial Division.
Proceedings of the Computer Algebra in Scientific Computing, 8th International Workshop, 2005

Experimental Analysis of Involutive Criteria.
Proceedings of the Algorithmic Algebra and Logic. Proceedings of the A3L 2005, 2005

2003
Implementation of the FGLM Algorithm and Finding Roots of Polynomial Involutive Systems.
Program. Comput. Softw., 2003

Improved Kolchin-Ritt Algorithm.
Program. Comput. Softw., 2003

2002
On an Algorithmic Optimization in Computation of Involutive Bases.
Program. Comput. Softw., 2002

2001
Fast Search for the Janet Divisor.
Program. Comput. Softw., 2001

1999
Construction of Involutive Monomial Sets for Different Involutive Divisions.
Proceedings of the Second Workshop on Computer Algebra in Scientific Computing, 1999

Constrained Hamiltonian Systems and Gröbner Bases.
Proceedings of the Second Workshop on Computer Algebra in Scientific Computing, 1999

Completion of Linear Differential Systems to Involution.
Proceedings of the Second Workshop on Computer Algebra in Scientific Computing, 1999

1997
An algorithm for analysis of the structure of finitely presented Lie algebras.
Discret. Math. Theor. Comput. Sci., 1997

Minimal involutive bases.
SIGSAM Bull., 1997

1996
Construction of Finitely Presented Lie Algebras and Superalgebras.
J. Symb. Comput., 1996

An Implementation in C of an Algorithm for Construction of Finitely Presented Lie Superalgebrasz.
Comput. Sci. J. Moldova, 1996

1991
Lie-Bäcklund Symmetries of Coupled Nonlinear Schrödinger Equations.
Proceedings of the 1991 International Symposium on Symbolic and Algebraic Computation, 1991

Computer Algebra Tools for Higher Symmetry Analysis of Nonlinear Evolution Equations.
Proceedings of the Programming Environments for High-Level Scientific Problem Solving, 1991

1990
Computer Classification of Integrable Coupled KdV-like Systems.
J. Symb. Comput., 1990

Computer Generation of Necessary Integrability Conditions for Polynomial-Nonlinear Evolution Systems.
Proceedings of the International Symposium on Symbolic and Algebraic Computation, 1990

Solving Algebraic Systems which Arise as Necessary Integrability Conditions for Polynomial-Nonlinear Evolution Equations.
Proceedings of the International Symposium on Symbolic and Algebraic Computation, 1990

1989
Computer Algebra in the Theory of Ordinary Differential Equations of Halphen Type.
Proceedings of the Computers and Mathematics, 1989

1987
Computer classification of integrable seventh order MKdV-like equations.
Proceedings of the EUROCAL '87, 1987

Computer algebra applications for investigating integrability of nonlinear evolution systems.
Proceedings of the EUROCAL '87, 1987

Computer algebra and computation of Puiseux expansions of algebraic functions.
Proceedings of the EUROCAL '87, 1987

Computer algebra in physical research of Joint Institute for Nuclear Research.
Proceedings of the EUROCAL '87, 1987

1985
Computer Algebra Application for Classification of Integrable Non-Linear Evolution Equations.
J. Symb. Comput., 1985


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