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2020 – today
- 2021
[j36]Kapil K. Sharma
, Vladimir P. Gerdt:
Quantum information scrambling and entanglement in bipartite quantum states. Quantum Inf. Process. 20(6): 195 (2021)- 2020
- [j35]Dmitry A. Lyakhov, Vladimir P. Gerdt, Dominik L. Michels:
On the algorithmic linearizability of nonlinear ordinary differential equations. J. Symb. Comput. 98: 3-22 (2020) - [j34]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: 84-119 (2020) - [c54]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: 206-227 - [c53]Kapil K. Sharma, Vladimir P. Gerdt, P. V. Gerdt:
Milestone Developments in Quantum Information and No-Go Theorems. DCCN 2020: 510-525 - [c52]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: 152-166 - [i18]Vladimir P. Gerdt, Mikhail D. Malykh, Leonid A. Sevastianov, Yu Ying:
On conservative difference schemes for the many-body problem. CoRR abs/2007.01170 (2020) - [i17]Vladimir P. Gerdt, Daniel Robertz, Yuri A. Blinkov:
Strong Consistency and Thomas Decomposition of Finite Difference Approximations to Systems of Partial Differential Equations. CoRR abs/2009.01731 (2020)
2010 – 2019
- 2019
- [j33]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: 202-215 (2019) - [j32]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): 269 (2019) - [c51]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: 91-106 - [c50]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: 152-163 - [c49]Vladimir P. Gerdt, Daniel Robertz:
Algorithmic Approach to Strong Consistency Analysis of Finite Difference Approximations to PDE Systems. ISSAC 2019: 163-170 - [i16]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 abs/1902.04882 (2019) - [i15]Vladimir P. Gerdt, Daniel Robertz:
Algorithmic approach to strong consistency analysis of finite difference approximations to PDE systems. CoRR abs/1904.12912 (2019) - 2018
- [c48]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: 67-81 - [c47]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: 131-145 - [c46]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: 197-213 - [e10]Vladimir P. Gerdt, Wolfram Koepf, Werner M. Seiler, Evgenii V. Vorozhtsov:
Computer Algebra in Scientific Computing - 20th International Workshop, CASC 2018, Lille, France, September 17-21, 2018, Proceedings. Lecture Notes in Computer Science 11077, Springer 2018, ISBN 978-3-319-99638-7 [contents] - [i14]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 abs/1807.00328 (2018) - 2017
- [j31]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: 408-421 (2017) - [j30]Yuri A. Blinkov, Vladimir P. Gerdt, K. B. Marinov:
Discretization of quasilinear evolution equations by computer algebra methods. Program. Comput. Softw. 43(2): 84-89 (2017) - [c45]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: 134-150 - [c44]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: 151-166 - [c43]Dmitry A. Lyakhov, Vladimir P. Gerdt, Andreas G. Weber, Dominik L. Michels:
Symbolic-Numeric Integration of the Dynamical Cosserat Equations. CASC 2017: 301-312 - [c42]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: 45-52 - [c41]Dmitry A. Lyakhov, Vladimir P. Gerdt, Dominik L. Michels:
Algorithmic Verification of Linearizability for Ordinary Differential Equations. ISSAC 2017: 285-292 - [e9]Vladimir P. Gerdt, Wolfram Koepf, Werner M. Seiler, Evgenii V. Vorozhtsov:
Computer Algebra in Scientific Computing - 19th International Workshop, CASC 2017, Beijing, China, September 18-22, 2017, Proceedings. Lecture Notes in Computer Science 10490, Springer 2017, ISBN 978-3-319-66319-7 [contents] - [i13]Dmitry A. Lyakhov, Vladimir P. Gerdt, Dominik Ludewig Michels:
Algorithmic Verification of Linearizability for Ordinary Differential Equations. CoRR abs/1702.03829 (2017) - [i12]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 abs/1704.08997 (2017) - 2016
- [j29]Vladimir P. Gerdt, Daniel Robertz:
Lagrangian constraints and differential Thomas decomposition. Adv. Appl. Math. 72: 113-138 (2016) - [c40]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: 212-227 - [c39]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: 228-242 - [c38]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: 367-380 - [e8]Vladimir P. Gerdt, Wolfram Koepf, Werner M. Seiler, Evgenii V. Vorozhtsov:
Computer Algebra in Scientific Computing - 18th International Workshop, CASC 2016, Bucharest, Romania, September 19-23, 2016, Proceedings. Lecture Notes in Computer Science 9890, Springer 2016, ISBN 978-3-319-45640-9 [contents] - [i11]Vladimir P. Gerdt, Arsen Khvedelidze, Yuri Palii:
On the ring of local unitary invariants for mixed X-states of two qubits. CoRR abs/1603.03262 (2016) - 2015
- [c37]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: 166-181 - [c36]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: 322-333 - [e7]Vladimir P. Gerdt, Wolfram Koepf, Werner M. Seiler, Evgenii V. Vorozhtsov:
Computer Algebra in Scientific Computing - 17th International Workshop, CASC 2015, Aachen, Germany, September 14-18, 2015, Proceedings. Lecture Notes in Computer Science 9301, Springer 2015, ISBN 978-3-319-24020-6 [contents] - [i10]Vladimir P. Gerdt, Daniel Robertz:
Lagrangian Constraints and Differential Thomas Decomposition. CoRR abs/1509.01464 (2015) - 2014
- [c35]Dominik Ludewig Michels, Dmitry A. Lyakhov, Vladimir P. Gerdt, Gerrit Alexander Sobottka, Andreas G. Weber:
Lie Symmetry Analysis for Cosserat Rods. CASC 2014: 324-334 - [e6]Vladimir P. Gerdt, Wolfram Koepf, Werner M. Seiler, Evgenii V. Vorozhtsov:
Computer Algebra in Scientific Computing - 16th International Workshop, CASC 2014, Warsaw, Poland, September 8-12, 2014. Proceedings. Lecture Notes in Computer Science 8660, Springer 2014, ISBN 978-3-319-10514-7 [contents] - 2013
- [j28]Vladimir P. Gerdt, Amir Hashemi, Benyamin M.-Alizadeh:
Involutive bases algorithm incorporating F5 criterion. J. Symb. Comput. 59: 1-20 (2013) - [j27]Vladimir P. Gerdt, Amir Hashemi:
On the use of Buchberger criteria in G2V algorithm for calculating Gröbner bases. Program. Comput. Softw. 39(2): 81-90 (2013) - [j26]Vladimir P. Gerdt, Alexander N. Prokopenya:
Simulation of quantum error correction by means of QuantumCircuit package. Program. Comput. Softw. 39(3): 143-149 (2013) - [c34]Pierluigi Amodio, Yuri A. Blinkov, Vladimir P. Gerdt, Roberto La Scala:
On Consistency of Finite Difference Approximations to the Navier-Stokes Equations. CASC 2013: 46-60 - [c33]Vladimir P. Gerdt, Alexander N. Prokopenya:
Simulation of Quantum Error Correction with Mathematica. CASC 2013: 116-129 - [e5]Vladimir P. Gerdt, Wolfram Koepf, Ernst W. Mayr, Evgenii V. Vorozhtsov:
Computer Algebra in Scientific Computing - 15th International Workshop, CASC 2013, Berlin, Germany, September 9-13, 2013. Proceedings. Lecture Notes in Computer Science 8136, Springer 2013, ISBN 978-3-319-02296-3 [contents] - [i9]Vladimir P. Gerdt, Amir Hashemi, Benyamin M.-Alizadeh:
Involutive Bases Algorithm Incorporating F5 Criterion. CoRR abs/1306.6811 (2013) - [i8]Pierluigi Amodio, Yuri A. Blinkov, Vladimir P. Gerdt, Roberto La Scala:
On Consistency of Finite Difference Approximations to the Navier-Stokes Equations. CoRR abs/1307.0914 (2013) - 2012
- [j25]Vladimir P. Gerdt, Daniel Robertz:
Computation of Difference Gröbner Bases. Comput. Sci. J. Moldova 20(2): 203-226 (2012) - [j24]Thomas Bächler, Vladimir P. Gerdt, Markus Lange-Hegermann, Daniel Robertz:
Algorithmic Thomas decomposition of algebraic and differential systems. J. Symb. Comput. 47(10): 1233-1266 (2012) - [c32]Vladimir P. Gerdt, Amir Hashemi:
Comprehensive Involutive Systems. CASC 2012: 98-116 - [c31]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: 155-171 - [e4]Vladimir P. Gerdt, Wolfram Koepf, Ernst W. Mayr, Evgenii V. Vorozhtsov:
Computer Algebra in Scientific Computing - 14th International Workshop, CASC 2012, Maribor, Slovenia, September 3-6, 2012. Proceedings. Lecture Notes in Computer Science 7442, Springer 2012, ISBN 978-3-642-32972-2 [contents] - [i7]Vladimir P. Gerdt, Amir Hashemi:
Comprehensive Involutive Systems. CoRR abs/1206.0181 (2012) - [i6]Vladimir P. Gerdt, Daniel Robertz:
Computation of Difference Groebner Bases. CoRR abs/1206.3463 (2012) - 2011
- [c30]Vladimir P. Gerdt, Yuri A. Blinkov:
Involutive Division Generated by an Antigraded Monomial Ordering. CASC 2011: 158-174 - [c29]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: 175-191 - [c28]Vladimir P. Gerdt:
Consistency Analysis of Finite Difference Approximations to PDE Systems. MMCP 2011: 28-42 - [c27]Vladimir P. Gerdt, Alexander N. Prokopenya:
The Circuit Model of Quantum Computation and Its Simulation with Mathematica. MMCP 2011: 43-55 - [e3]Vladimir P. Gerdt, Wolfram Koepf, Ernst W. Mayr, Evgenii V. Vorozhtsov:
Computer Algebra in Scientific Computing - 13th International Workshop, CASC 2011, Kassel, Germany, September 5-9, 2011. Proceedings. Lecture Notes in Computer Science 6885, Springer 2011, ISBN 978-3-642-23567-2 [contents] - [i5]Vladimir P. Gerdt:
Consistency Analysis of Finite Difference Approximations to PDE Systems. CoRR abs/1107.4269 (2011) - [i4]Vladimir P. Gerdt, Amir Hashemi, Benyamin M.-Alizadeh:
A Variant of Gerdt's Algorithm for Computing Involutive Bases. CoRR abs/1108.3261 (2011) - 2010
- [j23]Thomas Bächler, Vladimir P. Gerdt, Markus Lange-Hegermann, Wilhelm Plesken, Daniel Robertz:
Thomas decomposition and its applications. ACM Commun. Comput. Algebra 44(3/4): 91-92 (2010) - [j22]Vladimir P. Gerdt, Alexander N. Prokopenya:
Some algorithms for calculating unitary matrices for quantum circuits. Program. Comput. Softw. 36(2): 111-116 (2010) - [j21]Vladimir P. Gerdt, Mikhail V. Zinin, Yuri A. Blinkov:
On computation of Boolean involutive bases. Program. Comput. Softw. 36(2): 117-123 (2010) - [c26]Thomas Bächler, Vladimir P. Gerdt, Markus Lange-Hegermann, Daniel Robertz:
Thomas Decomposition of Algebraic and Differential Systems. CASC 2010: 31-54 - [c25]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: 106-122 - [c24]Vladimir P. Gerdt, Daniel Robertz:
Consistency of finite difference approximations for linear PDE systems and its algorithmic verification. ISSAC 2010: 53-59 - [e2]Vladimir P. Gerdt, Wolfram Koepf, Ernst W. Mayr, Evgenii V. Vorozhtsov:
Computer Algebra in Scientific Computing - 12th International Workshop, CASC 2010, Tsakhkadzor, Armenia, September 6-12, 2010. Proceedings. Lecture Notes in Computer Science 6244, Springer 2010, ISBN 978-3-642-15273-3 [contents]
2000 – 2009
- 2009
- [j20]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): 1011 (2009) - [j19]Vladimir P. Gerdt, Mikhail V. Zinin:
Role of involutive criteria in computing Boolean Gröbner bases. Program. Comput. Softw. 35(2): 90-97 (2009) - [c23]Vladimir P. Gerdt, Yuri A. Blinkov:
Involution and Difference Schemes for the Navier-Stokes Equations. CASC 2009: 94-105 - [c22]Vladimir P. Gerdt, Robert Kragler, Alexander N. Prokopenya:
A Mathematica Package for Simulation of Quantum Computation. CASC 2009: 106-117 - [c21]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 - [e1]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. Lecture Notes in Computer Science 5743, Springer 2009, ISBN 978-3-642-04102-0 [contents] - 2008
- [j18]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): 301-330 (2008) - [j17]Yuri A. Blinkov, Vladimir P. Gerdt:
Specialized computer algebra system GINV. Program. Comput. Softw. 34(2): 112-123 (2008) - [j16]Vladimir P. Gerdt, Mikhail V. Zinin:
Involutive method for computing Gröbner bases over \mathbbF2 \mathbb{F}_2. Program. Comput. Softw. 34(4): 191-203 (2008) - [c20]Vladimir P. Gerdt, Mikhail V. Zinin:
A pommaret division algorithm for computing Grobner bases in boolean rings. ISSAC 2008: 95-102 - 2007
- [j15]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): 105-116 (2007) - [j14]Vladimir P. Gerdt, Yuri A. Blinkov:
On selection of nonmultiplicative prolongations in computation of Janet bases. Program. Comput. Softw. 33(3): 147-153 (2007) - [c19]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 - [c18]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 - 2006
- [j13]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): 103-113 (2006) - [j12]Vladimir P. Gerdt, D. A. Yanovich:
Effectiveness of involutive criteria in computation of polynomial Janet bases. Program. Comput. Softw. 32(3): 134-138 (2006) - [c17]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 - [i3]Vladimir P. Gerdt:
Groebner Bases Applied to Systems of Linear Difference Equations. CoRR abs/cs/0611041 (2006) - [i2]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) - 2005
- [j11]Vladimir P. Gerdt, D. A. Yanovich:
Parallel computation of Janet and Gröbner bases over rational numbers. Program. Comput. Softw. 31(2): 73-80 (2005) - [c16]Vladimir P. Gerdt, Denis A. Yanovich:
Experimental Analysis of Involutive Criteria. Algorithmic Algebra and Logic 2005: 105-109 - [c15]Vladimir P. Gerdt, Yuri A. Blinkov:
Janet-Like Monomial Division. CASC 2005: 174-183 - [c14]Vladimir P. Gerdt, Yuri A. Blinkov:
Janet-Like Gröbner Bases. CASC 2005: 184-195 - [c13]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 - [i1]Vladimir P. Gerdt, Daniel Robertz:
A Maple Package for Computing Groebner Bases for Linear Recurrence Relations. CoRR abs/cs/0509070 (2005) - 2003
- [j10]Vladimir P. Gerdt, D. A. Yanovich:
Implementation of the FGLM Algorithm and Finding Roots of Polynomial Involutive Systems. Program. Comput. Softw. 29(2): 72-74 (2003) - [j9]Giuseppa Carrà Ferro, Vladimir P. Gerdt:
Improved Kolchin-Ritt Algorithm. Program. Comput. Softw. 29(2): 83-87 (2003) - 2002
- [j8]Vladimir P. Gerdt:
On an Algorithmic Optimization in Computation of Involutive Bases. Program. Comput. Softw. 28(2): 62-65 (2002) - 2001
- [j7]Vladimir P. Gerdt, D. A. Yanovich, Yuri A. Blinkov:
Fast Search for the Janet Divisor. Program. Comput. Softw. 27(1): 22-24 (2001)
1990 – 1999
- 1999
- [c12]Vladimir P. Gerdt:
Completion of Linear Differential Systems to Involution. CASC 1999: 115-137 - [c11]Vladimir P. Gerdt, Soso A. Gogilidze:
Constrained Hamiltonian Systems and Gröbner Bases. CASC 1999: 139-146 - [c10]Vladimir P. Gerdt, Vladimir V. Kornyak, Matthias Berth, Günter Czichowski:
Construction of Involutive Monomial Sets for Different Involutive Divisions. CASC 1999: 147-157 - 1997
- [j6]Vladimir P. Gerdt, Yuri A. Blinkov:
Minimal involutive bases. SIGSAM Bull. 31(3): 44 (1997) - [j5]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): 217-228 (1997) - 1996
- [j4]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): 399-427 (1996) - [j3]Vladimir P. Gerdt, Vladimir V. Kornyak:
Construction of Finitely Presented Lie Algebras and Superalgebras. J. Symb. Comput. 21(3): 337-349 (1996) - 1991
- [c9]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 - [c8]Vladimir P. Gerdt, N. V. Khutornoy, A. Yu. Zharkov:
Lie-Bäcklund Symmetries of Coupled Nonlinear Schrödinger Equations. ISSAC 1991: 313-314 - 1990
- [j2]Vladimir P. Gerdt, A. Yu. Zharkov:
Computer Classification of Integrable Coupled KdV-like Systems. J. Symb. Comput. 10(2): 203-208 (1990) - [c7]Vladimir P. Gerdt, A. Yu. Zharkov:
Computer Generation of Necessary Integrability Conditions for Polynomial-Nonlinear Evolution Systems. ISSAC 1990: 250-254 - [c6]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
1980 – 1989
- 1989
- [c5]Vladimir P. Gerdt, N. A. Kostov:
Computer Algebra in the Theory of Ordinary Differential Equations of Halphen Type. Computers and Mathematics 1989: 279-288 - 1987
- [c4]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 - [c3]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 - [c2]Vladimir P. Gerdt, A. Yu. Zharkov:
Computer classification of integrable seventh order MKdV-like equations. EUROCAL 1987: 93-94 - [c1]