Vladimir P. Gerdt

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All published works

Action	Title	Year	Authors
+ PDF Chat	On the Quadratization of the Integrals for the Many-Body Problem	2021	Ying Yu Ali Baddour Vladimir P. Gerdt М. Д. Малых Leonid A. Sevastianov
+ PDF Chat	Quantum information scrambling and entanglement in bipartite quantum states	2021	Kapil K. Sharma Vladimir P. Gerdt
+	A Maple Implementation of the Finite Element Method for Solving Boundary-Value Problems for Systems of Second-Order Ordinary Differential Equations	2021	Galmandakh Chuluunbaatar А. А. Гусев Vladimir L. Derbov S. I. Vinitsky О. Чулуунбаатар Lương Lê Hải Vladimir P. Gerdt
+	Hadronic Vacuum Polarization and Test of Quantum Electrodynamics at Low Energies	2021	Vladimir P. Gerdt A. Karimkhodzhaev Р. Н. Фаустов
+	Quantum Information Scrambling and Entanglement in Bipartite Quantum States	2020	Kapil K. Sharma Vladimir P. Gerdt
+	On conservative difference schemes for the many-body problem	2020	Vladimir P. Gerdt М. Д. Малых Leonid A. Sevastianov Yu Ying
+	Strong Consistency and Thomas Decomposition of Finite Difference Approximations to Systems of Partial Differential Equations	2020	Vladimir P. Gerdt Daniel Robertz Yu. A. Blinkov
+	Symbolic-Numeric Algorithm for Computing Orthonormal Basis of O(5)˟ SU(1, 1) Group.	2020	Algirdas Deveikis А. А. Гусев Vladimir P. Gerdt S. I. Vinitsky A. Góźdź A. Pędrak Č. Burdík G. S. Pogosyan
+ PDF Chat	Milestone Developments in Quantum Information and No-Go Theorems	2020	Kapil K. Sharma Vladimir P. Gerdt Pyotr V. Gerdt
+	Quantum Information Scrambling and Entanglement in Bipartite Quantum States	2020	Kapil K. Sharma Vladimir P. Gerdt
+ PDF Chat	On the properties of numerical solutions of dynamical systems obtained using the midpoint method	2019	Vladimir P. Gerdt М. Д. Малых Leonid A. Sevastianov Ying Yu
+	On the properties of numerical solutions of dynamical systems obtained using the midpoint method	2019	Vladimir P. Gerdt М. Д. Малых Leonid A. Sevastianov Ying Yu
+ PDF Chat	On the properties of numerical solutions of dynamical systems obtained using the midpoint method	2019	Vladimir P. Gerdt М. Д. Малых Leonid A. Sevastianov Yu Ying
+ PDF Chat	Entanglement Sudden Death and Birth Effects in Two Qubits Maximally Entangled Mixed States Under Quantum Channels	2019	Kapil K. Sharma Vladimir P. Gerdt
+	Identifying the parametric occurrence of multiple steady states for some biological networks	2019	Russell Bradford James H. Davenport Matthew England Hassan Errami Vladimir P. Gerdt Dima Grigoriev Charles Tapley Hoyt Marek Košta Ovidiu Radulescu Thomas Sturm
+ PDF Chat	Algorithmic Approach to Strong Consistency Analysis of Finite Difference Approximations to PDE Systems	2019	Vladimir P. Gerdt Daniel Robertz
+	On the Consistency Analysis of Finite Difference Approximations	2019	Dominik L. Michels Vladimir P. Gerdt Yu. A. Blinkov Dmitry Lyakhov
+	Algorithmic approach to strong consistency analysis of finite difference approximations to PDE systems	2019	Vladimir P. Gerdt Daniel Robertz
+ PDF Chat	Algebraic Construction of a Strongly Consistent, Permutationally Symmetric and Conservative Difference Scheme for 3D Steady Stokes Flow	2019	Xiaojing Zhang Vladimir P. Gerdt Yu. A. Blinkov
+	Symbolic-Numerical Algorithm for Large Scale Calculations the Orthonormal $$\mathrm {SU(3)}$$ BM Basis	2019	Algirdas Deveikis А. А. Гусев Vladimir P. Gerdt S. I. Vinitsky A. Góźdź A. Pędrak Č. Burdík
+	Construction of a New Implicit Difference Scheme for 2D Boussinesq Paradigm Equation	2019	Yu. A. Blinkov Vladimir P. Gerdt И. А. Панкратов E. A. Kotkova
+	Algorithmic approach to strong consistency analysis of finite difference approximations to PDE systems	2019	Vladimir P. Gerdt Daniel Robertz
+	Milestone developments in quantum Information and No-Go theorems.	2018	Kapil K. Sharma Vladimir P. Gerdt Pyotr V. Gerdt
+ PDF Chat	The MAPLE package TDDS for computing Thomas decompositions of systems of nonlinear PDEs	2018	Vladimir P. Gerdt Markus Lange‐Hegermann Daniel Robertz
+	A Strongly Consistent Finite Difference Scheme for Steady Stokes Flow and its Modified Equations	2018	Yu. A. Blinkov Vladimir P. Gerdt Dmitry Lyakhov Dominik L. Michels
+ PDF Chat	Generation and Analysis of a New Implicit Difference Scheme for the Korteweg-de Vries Equation	2018	Yu. A. Blinkov Vladimir P. Gerdt Konstantin Marinov
+ PDF Chat	A Strongly Consistent Finite Difference Scheme for Steady Stokes Flow and its Modified Equations	2018	Yu. A. Blinkov Vladimir P. Gerdt Dmitry Lyakhov Dominik L. Michels
+	Symbolic Algorithm for Generating the Orthonormal Bargmann–Moshinsky Basis for $$\mathrm {SU(3)}$$ Group	2018	Algirdas Deveikis А. А. Гусев Vladimir P. Gerdt S. I. Vinitsky A. Góźdź A. Pędrak
+	Computation classification of ODEs: a changelle to differential algebra?	2018	Dmitry Lyakhov Vladimir P. Gerdt Dominic Michels
+	Milestone developments in quantum Information and No-Go theorems	2018	Kapil K. Sharma Vladimir P. Gerdt Pyotr V. Gerdt
+	A Strongly Consistent Finite Difference Scheme for Steady Stokes Flow and its Modified Equations	2018	Yu. A. Blinkov Vladimir P. Gerdt Dmitry Lyakhov Dominik L. Michels
+ PDF Chat	Algebraic construction and numerical behavior of a new s-consistent difference scheme for the 2D Navier–Stokes equations	2017	Pierluigi Amodio Yu. A. Blinkov Vladimir P. Gerdt Roberto La Scala
+ PDF Chat	Algorithmic Verification of Linearizability for Ordinary Differential Equations	2017	Dmitry Lyakhov Vladimir P. Gerdt Dominik L. Michels
+ PDF Chat	A Case Study on the Parametric Occurrence of Multiple Steady States	2017	Russell Bradford James H. Davenport Matthew England Hassan Errami Vladimir P. Gerdt Dima Grigoriev Charles Tapley Hoyt Marek Košta Ovidiu Radulescu Thomas Sturm
+ PDF Chat	On the Ring of Local Unitary Invariants for Mixed X-States of Two Qubits	2017	Vladimir P. Gerdt A. Khvedelidze Yu. G. Palii
+	Dataset Supporting The Paper: "A Case Study On The Parametric Occurrence Of Multiple Steady States"	2017	Russell Bradford James H. Davenport Matthew England Hassan Errami Vladimir P. Gerdt Dima Grigoriev Charles Tapley Hoyt Marek Košta Ovidiu Radulescu Thomas Sturm
+	Dataset Supporting The Paper: "A Case Study On The Parametric Occurrence Of Multiple Steady States"	2017	Russell Bradford James H. Davenport Matthew England Hassan Errami Vladimir P. Gerdt Dima Grigoriev Charles Tapley Hoyt Marek Košta Ovidiu Radulescu Thomas Sturm
+	Discretization of quasilinear evolution equations by computer algebra methods	2017	Yu. A. Blinkov Vladimir P. Gerdt Konstantin Marinov
+	Algorithmic Verification of Linearizability for Ordinary Differential Equations	2017	Dmitry Lyakhov Vladimir P. Gerdt Dominik L. Michels
+ PDF Chat	Symbolic-Numeric Integration of the Dynamical Cosserat Equations	2017	Dmitry Lyakhov Vladimir P. Gerdt Andreas Weber⋆ Dominik L. Michels
+	Algorithmic Verification of Linearizability for Ordinary Differential Equations	2017	Dmitry Lyakhov Vladimir P. Gerdt Dominik L. Michels
+	On the ring of local unitary invariants for mixed X-states of two qubits	2016	Vladimir P. Gerdt A. Khvedelidze Yuri Palii
+	Symbolic-Numeric Algorithms for Solving BVPs for a System of ODEs of the Second Order: Multichannel Scattering and Eigenvalue Problems	2016	А. А. Гусев Vladimir P. Gerdt Lương Lê Hải Vladimir L. Derbov S. I. Vinitsky О. Чулуунбаатар
+ PDF Chat	On the General Analytical Solution of the Kinematic Cosserat Equations	2016	Dominik L. Michels Dmitry Lyakhov Vladimir P. Gerdt Zahid Hossain Ingmar H. Riedel‐Kruse Andreas Weber⋆
+	Partial Differential Equations	2016	Vladimir P. Gerdt Yu. A. Blinkov Roman O. Popovych V. Boyko Maryna Nesterenko
+	Lagrangian constraints and differential Thomas decomposition	2015	Vladimir P. Gerdt Daniel Robertz
+	Lagrangian Constraints and Differential Thomas Decomposition	2015	Vladimir P. Gerdt Daniel Robertz
+ PDF Chat	Constructing the SU(2) × U(1) Orbit Space for Qutrit Mixed States	2015	Vladimir P. Gerdt A. Khvedelidze Yuri Palii
+	Linearization of ODEs: algorithmic approach	2015	Vladimir P. Gerdt Dmitry Lyakhov
+ PDF Chat	On the Partial Analytical Solution of the Kirchhoff Equation	2015	Dominik L. Michels Dmitry Lyakhov Vladimir P. Gerdt Gerrit Sobottka Andreas Weber⋆
+	Lagrangian Constraints and Differential Thomas Decomposition	2015	Vladimir P. Gerdt Daniel Robertz
+	Linearization of ODEs: algorithmic approach	2015	Vladimir P. Gerdt Dmitry Lyakhov
+	Lie Symmetry Analysis for Cosserat Rods	2014	Dominik L. Michels Dmitry Lyakhov Vladimir P. Gerdt Gerrit Sobottka Andreas Weber⋆
+	Noetherian quotients of the algebra of partial difference polynomials and Gröbner bases of symmetric ideals	2014	Vladimir P. Gerdt Roberto La Scala
+ PDF Chat	Describing the Orbit Space of the Global Unitary Actions for Mixed Qudit States	2014	Vladimir P. Gerdt A. Khvedelidze Yu. G. Palii
+	Constructing SU(2) x U(1) orbit space for qutrit mixed states	2014	Vladimir P. Gerdt A. Khvedelidze Yuri Palii
+ PDF Chat	Lie Symmetry Analysis for Cosserat Rods	2014	Dominik L. Michels Dmitry Lyakhov Vladimir P. Gerdt Gerrit Sobottka Andreas Weber⋆
+	Lie Symmetry Analysis for Cosserat Rods	2014	Dominik L. Michels Dmitry Lyakhov Vladimir P. Gerdt Gerrit Sobottka Andreas Weber⋆
+	Involutive bases algorithm incorporating F5 criterion	2013	Vladimir P. Gerdt Amir Hashemi Benyamin M.-Alizadeh
+	Involutive Bases Algorithm Incorporating F5 Criterion	2013	Vladimir P. Gerdt Amir Hashemi Benyamin M.-Alizadeh
+	Noetherian quotients of the algebra of partial difference polynomials and Grobner bases of symmetric ideals	2013	Vladimir P. Gerdt Roberto La Scala
+ PDF Chat	Entanglement of spins under a strong laser influence	2013	Vladimir P. Gerdt S. A. Gogilidze A. Khvedelidze D. M. Mladenov V.V. Sanadze
+	Describing orbit space of global unitary actions for mixed qudit states	2013	Vladimir P. Gerdt A. Khvedelidze Yuri Palii
+ PDF Chat	On Consistency of Finite Difference Approximations to the Navier-Stokes Equations	2013	Pierluigi Amodio Yu. A. Blinkov Vladimir P. Gerdt Roberto La Scala
+	Computer algebra aided numerical solving nonlinear PDEs	2013	Vladimir P. Gerdt Yu. A. Blinkov
+	On Consistency of Finite Difference Approximations to the Navier-Stokes Equations	2013	Pierluigi Amodio Yu. A. Blinkov Vladimir P. Gerdt Roberto La Scala
+	Noetherian quotients of the algebra of partial difference polynomials and Grobner bases of symmetric ideals	2013	Vladimir P. Gerdt Roberto La Scala
+	Involutive Bases Algorithm Incorporating F5 Criterion	2013	Vladimir P. Gerdt Amir Hashemi Benyamin M. -Alizadeh
+	Computation of Difference Grobner Bases	2012	Vladimir P. Gerdt Daniel Robertz
+	Comprehensive Involutive Systems	2012	Vladimir P. Gerdt Amir Hashemi
+	Computation of Difference Groebner Bases	2012	Vladimir P. Gerdt Daniel Robertz
+	Computation of Difference Groebner Bases	2012	Vladimir P. Gerdt Daniel Robertz
+ PDF Chat	Comprehensive Involutive Systems	2012	Vladimir P. Gerdt Amir Hashemi
+	Consistency Analysis of Finite Difference Approximations to PDE Systems	2012	Vladimir P. Gerdt
+	Comprehensive Involutive Systems	2012	Vladimir P. Gerdt Amir Hashemi
+	Algorithmic Thomas decomposition of algebraic and differential systems	2011	Thomas Bächler Vladimir P. Gerdt Markus Lange‐Hegermann Daniel Robertz
+	A Variant of Gerdt's Algorithm for Computing Involutive Bases	2011	Vladimir P. Gerdt Amir Hashemi Benyamin M.-Alizadeh
+	Algorithmic Thomas Decomposition of Algebraic and Differential Systems	2011	Thomas Bächler Vladimir P. Gerdt Markus Lange‐Hegermann Daniel Robertz
+ PDF Chat	Consistency Analysis of Finite Difference Approximations to PDE Systems	2011	Vladimir P. Gerdt
+	Thomas decomposition and its applications	2011	Thomas Bächler Vladimir P. Gerdt Markus Lange‐Hegermann Wilhelm Plesken Daniel Robertz
+	Local invariants for mixed qubit-qutrit states	2011	Vladimir P. Gerdt A. Khvedelidze D. M. Mladenov Yuri Palii
+	Involutive Division Generated by an Antigraded Monomial Ordering	2011	Vladimir P. Gerdt Yu. A. Blinkov
+	CONSTRAINTS ON INVARIANT POLYNOMIALS FOR A PAIR OF ENTANGLED QUBITS	2011	Vladimir P. Gerdt A. Khvedelidze Y U Palii
+	A Variant of Gerdt's Algorithm for Computing Involutive Bases	2011	Vladimir P. Gerdt Amir Hashemi Benyamin M. -Alizadeh
+	Algorithmic Thomas Decomposition of Algebraic and Differential Systems	2011	Thomas Bächler Vladimir P. Gerdt Markus Lange‐Hegermann Daniel Robertz
+	Consistency of finite difference approximations for linear PDE systems and its algorithmic verification	2010	Vladimir P. Gerdt Daniel Robertz
+	Algebraically simple involutive differential systems and the Cauchy problem	2010	Vladimir P. Gerdt
+ PDF Chat	On the ring of local polynomial invariants for a pair of entangled qubits	2010	Vladimir P. Gerdt A. Khvedelidze Yu. G. Palii
+	On computation of Boolean involutive bases	2010	Vladimir P. Gerdt M. V. Zinin Yu. A. Blinkov
+	Algorithm for reduction of boundary-value problems in multistep adiabatic approximation	2010	А. А. Гусев О. Чулуунбаатар Vladimir P. Gerdt Blagoja Markovski Vladislav V. Serov S. I. Vinitsky
+	On the ring of local polynomial invariants for a pair of entangled qubits	2010	Vladimir P. Gerdt A. Khvedelidze Yuri Palii
+ PDF Chat	Symbolic-Numeric Algorithms for Computer Analysis of Spheroidal Quantum Dot Models	2010	А. А. Гусев О. Чулуунбаатар Vladimir P. Gerdt V. A. Rostovt︠s︡ev S. I. Vinitsky Vladimir L. Derbov Vladislav V. Serov
+ PDF Chat	Thomas Decomposition of Algebraic and Differential Systems	2010	Thomas Bächler Vladimir P. Gerdt Markus Lange‐Hegermann Daniel Robertz
+	Multi-layer evolution schemes for the finite-dimensional quantum systems in external fields	2009	О. Чулуунбаатар Vladimir P. Gerdt А. А. Гусев M. S. Kaschiev V. A. Rostovt︠s︡ev Yoshio Uwano S. I. Vinitsky
+	Role of involutive criteria in computing Boolean Gröbner bases	2009	Vladimir P. Gerdt M. V. Zinin
+	Complexity of Bounding Polynomial Roots	2009	D. M. Stefanescu Vladimir P. Gerdt Simeon Evlakhov
+ PDF Chat	Symbolic-Numerical Algorithms for Solving Parabolic Quantum Well Problem with Hydrogen-Like Impurity	2009	S. I. Vinitsky О. Чулуунбаатар Vladimir P. Gerdt А. А. Гусев V. A. Rostovt︠s︡ev
+	Involution and Difference Schemes for the Navier–Stokes Equations	2009	Vladimir P. Gerdt Yu. A. Blinkov
+	Estimates for Positive Roots of Polynomials	2009	Vladimir P. Gerdt
+	Involutive method for computing Gröbner bases over % MathType!MTEF!2!1!+- % feaagaart1ev2aaatCvAUfKttLearuqr1ngBPrgarmWu51MyVXgatC % vAUfeBSjuyZL2yd9gzLbvyNv2CaeHbd9wDYLwzYbItLDharyavP1wz % ZbItLDhis9wBH5garqqtubsr4rNCHbGeaGqiVu0Je9sqqrpepC0xbb % L8F4rqqrFfpeea0xe9Lq-Jc9vqaqpepm0xbba9pwe9Q8fs0-yqaqpe % pae9pg0FirpepeKkFr0xfr-xfr-xb9adbaqaaeGaciGaaiaabeqaam % aaeaqbaaGcbaWefv3ySLgznfgDOjdarCqr1ngBPrginfgDObcv39ga % iyaacqWFfcVrdaWgaaWcbaGaeGOmaidabeaaaaa!47CE! $$ \mathbb{F}_2 $$	2008	Vladimir P. Gerdt M. V. Zinin
+ PDF Chat	Gröbner bases applied to systems of linear difference equations	2008	Vladimir P. Gerdt
+	Light-cone Yang-Mills mechanics: SU(2) vs. SU(3)	2008	Vladimir P. Gerdt Yuri Palii A. Khvedelidze
+	Specialized computer algebra system GINV	2008	Yu. A. Blinkov Vladimir P. Gerdt
+ PDF Chat	Механика Янга - Миллса на световом конусе: $SU(2)$ вместо $SU(3)$	2008	Vladimir P. Gerdt Vladimir P. Gerdt Юрий Григорьевич Палий Yurii Grigor'evich Palii Юрий Григорьевич Палий Yurii Grigor'evich Palii A. Khvedelidze A. Khvedelidze A. Khvedelidze A. Khvedelidze
+ PDF Chat	Deducing the Constraints in the Light-Cone SU(3) Yang-Mills Mechanics Via Gröbner Bases	2007	Vladimir P. Gerdt A. Khvedelidze Yuri Palii
+	On selection of nonmultiplicative prolongations in computation of Janet bases	2007	Vladimir P. Gerdt Yu. A. Blinkov
+	A symbolic-numerical algorithm for the computation of matrix elements in the parametric eigenvalue problem	2007	S. I. Vinitsky Vladimir P. Gerdt А. А. Гусев M. S. Kaschiev V. A. Rostovt︠s︡ev В. Н. Самойлов Tatiana Tyupikova О. Чулуунбаатар
+ PDF Chat	On the Hamiltonian reduction of geodesic motion on SU(3) to SU(3)/SU(2)	2006	Vladimir P. Gerdt Robin Horan A. Khvedelidze Martin Lavelle David McMullan Yu. G. Palii
+ PDF Chat	<title>An algorithm for constructing polynomial systems whose solution space characterizes quantum circuits</title>	2006	Vladimir P. Gerdt Vasily M. Severyanov
+ PDF Chat	Gröbner Bases and Generation of Difference Schemes for Partial Differential Equations	2006	Vladimir P. Gerdt
+	Effectiveness of involutive criteria in computation of polynomial Janet bases	2006	Vladimir P. Gerdt D. A. Yanovich
+	Symbolic algorithm for factorization of the evolution operator of the time-dependent Schrödinger equation	2006	S. I. Vinitsky Vladimir P. Gerdt А. А. Гусев M. S. Kaschiev V. A. Rostovt︠s︡ev V. N. Samoylov T. V. Tupikova Yoshio Uwano
+	Towards an algorithmisation of the Dirac constraint formalism	2006	Vladimir P. Gerdt A. Khvedelidze Yu. G. Palii
+	A Symbolic-Numerical Algorithm for Solving the Eigenvalue Problem for a Hydrogen Atom in Magnetic Field	2006	А. А. Гусев Vladimir P. Gerdt M. S. Kaschiev V. A. Rostovt︠s︡ev V. N. Samoylov T. V. Tupikova S. I. Vinitsky
+	On Computing Janet Bases for Degree Compatible Orderings	2006	Vladimir P. Gerdt Yu. A. Blinkov
+	Gröbner Bases as a General Algorithmic Tool for Systems of Equations	2006	Vladimir P. Gerdt
+	Groebner Bases Applied to Systems of Linear Difference Equations	2006	Vladimir P. Gerdt
+ PDF Chat	A Maple package for computing Gröbner bases for linear recurrence relations	2005	Vladimir P. Gerdt Daniel Robertz
+ PDF Chat	On computation of Gröbner bases for linear difference systems	2005	Vladimir P. Gerdt
+ PDF Chat	A software package to construct polynomial sets over for determining the output of quantum computations	2005	Vladimir P. Gerdt Vasily M. Severyanov
+	Janet Bases of Toric Ideals	2005	Vladimir P. Gerdt Yu. A. Blinkov
+	Involutive Algorithms for Computing Groebner Bases	2005	Vladimir P. Gerdt
+	Symbolic-Numerical Algorithm for Solving the Time-Dependent Schrödinger Equation by Split-Operator Method	2005	А. А. Гусев Vladimir P. Gerdt M. S. Kaschiev V. A. Rostovt︠s︡ev V. N. Samoylov T. V. Tupikova Yoshio Uwano S. I. Vinitsky
+	Janet-Like Gröbner Bases	2005	Vladimir P. Gerdt Yu. A. Blinkov
+ PDF Chat	Gröbner Bases in Perturbative Calculations	2004	Vladimir P. Gerdt
+ PDF Chat	New exact solutions for polynomial oscillators in large dimensions	2003	Miloslav Znojil D. A. Yanovich Vladimir P. Gerdt
+	None	2003	Giuseppa Carra'-Ferro Vladimir P. Gerdt
+	On Exact Solvability of Anharmonic Oscillators in Large Dimensions	2003	Vladimir P. Gerdt D. A. Yanovich Miloslav Znojil
+	On application of involutivity analysis of differential equations to constrained dynamical systems	2003	Vladimir P. Gerdt A. Khvedelidze D. M. Mladenov
+	New exact solutions for polynomial oscillators in large dimensions	2003	Miloslav Znojil D. A. Yanovich Vladimir P. Gerdt
+	Analysis of constraints in light-cone version of SU(2) Yang-Mills mechanics	2002	Vladimir P. Gerdt A. Khvedelidze D. M. Mladenov
+	Light-cone SU(2) Yang-Mills theory and conformal mechanics	2002	Vladimir P. Gerdt A. Khvedelidze D. M. Mladenov
+ PDF Chat	None	2002	Vladimir P. Gerdt
+	Construction of Janet Bases I. Monomial Bases	2001	Vladimir P. Gerdt Yu. A. Blinkov D. A. Yanovich
+	Construction of Janet Bases II. Polynomial Bases	2001	Vladimir P. Gerdt Yu. A. Blinkov D. A. Yanovich
+	None	2001	Vladimir P. Gerdt D. A. Yanovich Yu. A. Blinkov
+ PDF Chat	On the Relation between Pommaret and Janet Bases	2000	Vladimir P. Gerdt
+	On the Relation Between Pommaret and Janet Bases	2000	Vladimir P. Gerdt
+	Involutive Division Technique: Some Generalizations and Optimizations	1999	Vladimir P. Gerdt
+	Completion of Linear Differential Systems to Involution	1999	Vladimir P. Gerdt
+	Constrained Hamiltonian Systems and Gröbner Bases	1999	Vladimir P. Gerdt S. A. Gogilidze
+	Construction of Involutive Monomial Sets for Different Involutive Divisions	1999	Vladimir P. Gerdt Vladimir V. Kornyak Matthias Berth Günter Czichowski
+	Involutive Bases of Polynomial Ideals	1999	Vladimir P. Gerdt Yu. A. Blinkov
+	Minimal Involutive Bases	1999	Vladimir P. Gerdt Yu. A. Blinkov
+	Construction of Involutive Monomial Sets for Different Involutive Divisions	1999	Vladimir P. Gerdt Vladimir V. Kornyak Matthias Berth G. Czichowski
+	Completion of Linear Differential Systems to Involution	1999	Vladimir P. Gerdt
+	Constrained Hamiltonian Systems and Groebner Bases	1999	Vladimir P. Gerdt S. A. Gogilidze
+ PDF Chat	Minimal involutive bases	1998	Vladimir P. Gerdt Yu. A. Blinkov
+ PDF Chat	Involutive bases of polynomial ideals	1998	Vladimir P. Gerdt Yu. A. Blinkov
+	Involutive divisions in mathematica: Implementation and some applications	1998	Vladimir P. Gerdt G. Czichowski Matthias Berth
+ PDF Chat	Minimal involutive bases	1997	Vladimir P. Gerdt Yu. A. Blinkov
+	Gröbner bases and involutive methods for algebraic and differential equations	1997	Vladimir P. Gerdt
+	A program for constructing finitely presented Lie algebras and superalgebras	1997	Vladimir P. Gerdt Vladimir V. Kornyak
+ PDF Chat	An algorithm for analysis of the structure of finitely presented Lie algebras	1997	Vladimir P. Gerdt Vladimir V. Kornyak
+	An Implementation in C of an Algorithm for Construction of Finitely Presented Lie Superalgebras	1996	Vladimir P. Gerdt Vladimir V. Kornyak
+	Homogeneity of integrability conditions for multi-parametric families of polynomial-non-linear evolution equations	1996	Vladimir P. Gerdt
+	Construction of Finitely Presented Lie Algebras and Superalgebras	1996	Vladimir P. Gerdt Vladimir V. Kornyak
+	An Implementation in C of an Algorithm for Construction of Finitely Presented Lie Superalgebrasz.	1996	Vladimir P. Gerdt Vladimir V. Kornyak
+	The construction of finitely represented Lie algebras	1996	Vladimir P. Gerdt V. N. Robuk Vasily M. Severyanov
+ PDF Chat	Lie Algebras and Superalgebras Defined by a Finite Number of Relations: Computer Analysis	1995	Vladimir P. Gerdt Vladimir V. Kornyak
+	COMPUTER ALGEBRA, SYMMETRY ANALYSIS AND INTEGRABILITY OF NONLINEAR EVOLUTION EQUATIONS	1993	Vladimir P. Gerdt
+	Isomorphism Verification for Complex and Real Lie Algebras by Gröbner Basis Technique	1993	Vladimir P. Gerdt W. Lassner
+	ASYS: a computer algebra package for analysis of nonlinear algebraic equations systems	1992	Vladimir P. Gerdt N.V. Khutornoj A.Yu. Zharkov
+	Computer Algebra Tools for Higher Symmetry Analysis of Nonlinear Evolution Equations	1991	Vladimir P. Gerdt
+	Integrability of Polynomial-Nonlinear Evolution Equations and Computer Algebra	1991	Vladimir P. Gerdt
+	A REDUCE program for symbolic computation of Puiseux expansions	1991	Vladimir P. Gerdt P. Tiller
+	Genetic Codes of Lie Algebras and Nonlinear Evolution Equations	1991	Vladimir P. Gerdt V. E. Kovtun V. N. Robuk
+	IV International Conference on Computer Algebra in Physical Research : memorial volume for N.N. Govorun, Dubna, USSR, 22-26 May 1990	1991	Дмитрий Васильевич Ширков V. A. Rostovt︠s︡ev Vladimir P. Gerdt N.N. Govorun
+	Computer generation of necessary integrability conditions for polynomial-nonlinear evolution systems	1990	Vladimir P. Gerdt A.Yu. Zharkov
+	Solving algebraic systems which arise as necessary integrability conditions for polynomial-nonlinear evolution equations	1990	Vladimir P. Gerdt N. V. Khutornoy A.Yu. Zharkov
+	Computer algebra application for investigating integrability of nonlinear evolution systems	1989	Vladimir P. Gerdt A. B. Shabat S. I. Svinolupov A.Yu. Zharkov
+	Computer classification of integrable seventh order MKdV — Like equations	1989	Vladimir P. Gerdt A.Yu. Zharkov
+	Computer algebra in physical research of jinr	1989	R. N. Fedorova Vladimir P. Gerdt N.N. Govorun Vladislav P. Shirikov
+	The use of computer algebra to investigate the integrability of non-linear evolution systems	1988	Vladimir P. Gerdt A.Yu. Zharkov S. I. Svinolupov A. B. Shabat
+	THE FUNCTIONAL ARBITRARINESS IN THE GENERAL SOLUTION OF THE CHEW-LOW EQUATIONS	1987	Vladimir P. Gerdt A.Yu. Zharkov
+	Computer algebra application for classification of integrable non-linear evolution equations	1985	Vladimir P. Gerdt A.B. Shvachka A.Yu. Zharkov
+	On asymptotic expansion of general solution of Chew-Low equations	1984	Vladimir P. Gerdt A.Yu. Zharkov
+	Cubic approximation and local restrictions on the functional arbitrariness in the general solution of the Chew-Low equations	1983	Vladimir P. Gerdt A.Yu. Zharkov
+	Phase transitions in lattice Abelian Higgs models	1983	Vladimir P. Gerdt A.S. Ilchev V.K. Mitryushkin
+	Solution of Chew-Low equations in the quadratic approximation	1982	Vladimir P. Gerdt A.Yu. Zharkov
+	Analytic calculation of the invariant curve of the chew-low equations	1979	Vladimir P. Gerdt
+	Local form of a solution of the Chew-Low equations	1975	Vladimir P. Gerdt V.A. Meshcheryakov
+	s waves of $pi$N scattering and magnitude of the sigma commutator in the statistical model	1974	Vladimir P. Gerdt V. I. Zhuravlev V. A. Meshcheryakov
+	New type of sum rules for $pi$N-scattering in subthreshold region	1973	Vladimir P. Gerdt V.A. Meshcheryakov

Common Coauthors

Coauthor	Papers Together
Yu. A. Blinkov	30
A. Khvedelidze	19
Daniel Robertz	18
Dmitry Lyakhov	16
А. А. Гусев	13
Dominik L. Michels	13
S. I. Vinitsky	13
A.Yu. Zharkov	11
Andreas Weber⋆	10
V. A. Rostovt︠s︡ev	8
Vladimir V. Kornyak	8
Yuri Palii	8
Amir Hashemi	8
О. Чулуунбаатар	7
D. A. Yanovich	7
Roberto La Scala	6
Markus Lange‐Hegermann	6
M. S. Kaschiev	5
Kapil K. Sharma	5
D. M. Mladenov	5
Yu. G. Palii	5
Leonid A. Sevastianov	5
М. Д. Малых	5
Ovidiu Radulescu	4
Russell Bradford	4
Marek Košta	4
Gerrit Sobottka	4
Dima Grigoriev	4
James H. Davenport	4
Thomas Sturm	4
Hassan Errami	4
Matthew England	4
Charles Tapley Hoyt	4
Thomas Bächler	4
Benyamin M.-Alizadeh	3
A. Góźdź	3
Pierluigi Amodio	3
S. A. Gogilidze	3
M. V. Zinin	3
Miloslav Znojil	3
Yoshio Uwano	3
A. Pędrak	3
Matthias Berth	3
Pyotr V. Gerdt	3
Algirdas Deveikis	3
V. N. Samoylov	3
Vladimir L. Derbov	3
Vasily M. Severyanov	3
T. V. Tupikova	3
N.N. Govorun	2

Commonly Cited References

Action	Title	Year	Authors	# of times referenced
+ PDF Chat	Involutive bases of polynomial ideals	1998	Vladimir P. Gerdt Yu. A. Blinkov	41
+	Gröbner Bases: A Computational Approach to Commutative Algebra	2011	Thomas Becker Volker Weispfenning Heinz Kredel	31
+	Greobner Bases : an algorithmic method in polynomial ideal theory	1985	Bruno Buchberger	30
+	Involution: The Formal Theory of Differential Equations and its Applications in Computer Algebra	2009	Werner M. Seiler	24
+	Involutive Algorithms for Computing Groebner Bases	2005	Vladimir P. Gerdt	23
+ PDF Chat	Leçons sur les systèmes d'équations aux dérivées partielles	1930	Maurice Janet	18
+	Gröbner Bases: An Algorithmic Method in Polynomial Ideal Theory	1985	Bruno Buchberger	18
+	Algorithmic Thomas decomposition of algebraic and differential systems	2011	Thomas Bächler Vladimir P. Gerdt Markus Lange‐Hegermann Daniel Robertz	16
+ PDF Chat	Minimal involutive bases	1998	Vladimir P. Gerdt Yu. A. Blinkov	15
+ PDF Chat	Gröbner Bases and Generation of Difference Schemes for Partial Differential Equations	2006	Vladimir P. Gerdt	14
+	Consistency of finite difference approximations for linear PDE systems and its algorithmic verification	2010	Vladimir P. Gerdt Daniel Robertz	12
+	Computational Commutative and Non-Commutative Algebraic Geometry	2005	Svetlana Cojocaru Gerhard Pfister Victor Ufnarovski	12
+	Standard bases of differential ideals	1991	François Ollivier	11
+	The Theory of Involutive Divisions and an Application to Hilbert Function Computations	1998	Joachim Apel	11
+	Systems of partial differential equations and Lie pseudogroups	1978	J.-F. Pommaret	11
+	Gröbner bases and involutive methods for algebraic and differential equations	1997	Vladimir P. Gerdt	11
+	Formal Algorithmic Elimination for PDEs	2016	Daniel Robertz	10
+	Completion of Linear Differential Systems to Involution	1999	Vladimir P. Gerdt	10
+	An algorithm for determining the size of symmetry groups	1992	Fritz Schwarz	10
+ PDF Chat	Solving zero-dimensional involutive systems	1996	A.Yu. Zharkov	9
+	Differential Algebra and Algebraic Groups	2012	E. R. Kolchin	9
+ PDF Chat	On Consistency of Finite Difference Approximations to the Navier-Stokes Equations	2013	Pierluigi Amodio Yu. A. Blinkov Vladimir P. Gerdt Roberto La Scala	9
+	Sur les systèmes d'équations aux dérivées partielles	1920	Maurice Janet	8
+ PDF Chat	Computer Algebra in Scientific Computing	2014	Maciej Janowicz Arkadiusz Orłowski	8
+	Partial Differential Equations and Group Theory	1994	J.-F. Pommaret	8
+ PDF Chat	Hamiltonian reduction of<mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" display="inline"><mml:mi>SU</mml:mi><mml:mo>(</mml:mo><mml:mn>2</mml:mn><mml:mo>)</mml:mo><mml:mn /></mml:math>Dirac-Yang-Mills mechanics	1998	S. A. Gogilidze A. Khvedelidze D. M. Mladenov Hans-Peter Pavel	8
+	Algorithms for reducing a system of PDEs to standard form, determining the dimension of its solution space and calculating its Taylor series solution	1991	Gregory J. Reid	8
+	Difference Algebra	2008	Alexander Levin	8
+ PDF Chat	A Maple package for computing Gröbner bases for linear recurrence relations	2005	Vladimir P. Gerdt Daniel Robertz	8
+	Involution approach to investigating polynomial systems	1996	A.Yu. Zharkov Yu. A. Blinkov	8
+ PDF Chat	Notes on Triangular Sets and Triangulation-Decomposition Algorithms II: Differential Systems	2003	Évelyne Hubert	8
+	Non-commutative Gröbner bases in algebras of solvable type	1990	Äbdelilah Kandri-Rody Volker Weispfenning	8
+	Graduate Texts in Mathematics	1977	Rajendra Bhatia Glen Bredon Wolfgang Walter Joseph Rotman M. Ram Murty Jane Gilman Peter Walters Martin Golubitsky Ioannis Karatzas Henri Cohen	7
+ PDF Chat	None	2002	Vladimir P. Gerdt	7
+	Graduate Texts in Mathematics	2020	J. H. van Lint	7
+	Computation of Difference Groebner Bases	2012	Vladimir P. Gerdt Daniel Robertz	7
+ PDF Chat	Thomas Decomposition of Algebraic and Differential Systems	2010	Thomas Bächler Vladimir P. Gerdt Markus Lange‐Hegermann Daniel Robertz	7
+	Numerical Partial Differential Equations: Finite Difference Methods	1995	J. W. Thomas	7
+	A Gröbner Approach to Involutive Bases	1995	Joachim Apel	7
+	Computing Toric Ideals	1999	Anna Maria Bigatti Roberto La Scala Lorenzo Robbiano	7
+	Computer Algebra in Scientific Computing CASC 2001	2001	Victor Ganzha Ernst Mayr Evgenii V. Vorozhtsov	7
+ PDF Chat	On the ring of local polynomial invariants for a pair of entangled qubits	2010	Vladimir P. Gerdt A. Khvedelidze Yu. G. Palii	7
+	Effectiveness of involutive criteria in computation of polynomial Janet bases	2006	Vladimir P. Gerdt D. A. Yanovich	7
+ PDF Chat	Representation for the radical of a finitely generated differential ideal	1995	François Boulier Daniel Lazard François Ollivier Michel Petitot	7
+	Admissible orderings and finiteness criteria for differential standard bases	2005	A. I. Zobnin	6
+	Noetherian quotients of the algebra of partial difference polynomials and Gröbner bases of symmetric ideals	2014	Vladimir P. Gerdt Roberto La Scala	6
+	Consistency Analysis of Finite Difference Approximations to PDE Systems	2012	Vladimir P. Gerdt	6
+ PDF Chat	Gröbner Bases in Perturbative Calculations	2004	Vladimir P. Gerdt	6
+	Involutive divisions in mathematica: Implementation and some applications	1998	Vladimir P. Gerdt G. Czichowski Matthias Berth	6
+	Specialized computer algebra system GINV	2008	Yu. A. Blinkov Vladimir P. Gerdt	6