Anco SC, Seifi S, Wolf T. 2022 Symmetries and Casimirs of radial compressible
fluid flow and gas dynamics in n>1 dimensions. Proc. R. Soc. A 478: 20220511.
https://doi.org/10.1098/rspa.2022.0511 pdf file
V. Sokolov and T. Wolf: Integrable non-abelization of the flow on an
elliptic curve, arXiv:1809.03030 [nlin.SI], submitted: 9 Sep 2018
V. Sokolov and T. Wolf: Non-commutative generalization of integrable
quadratic ODE systems, Letters in Mathematical Physics, 110(3), 533-553,
DOI 10.1007/s11005-019-01229-0 and arxiv:1807.05583 [nlin.SI].
Arthemy V. Kiselev, Andrey O. Krutov, Thomas Wolf: Computing symmetries
and recursion operators of evolutionary super-systems using the SsTools
environment, 18 pages, arXiv:1805.12397 [nlin.SI], accepted for
publication in the book "Nonlinear Systems and Their Remarkable
Mathematical Structures" edited by Norbert Euler, to be published in CRC Press (2018).
pdf file
Thomas Wolf, Chimaobi Amadi:
Rational Solutions of Underdetermined Polynomial Equations, 11
pages, 2016, arXiv:1608.00697 [cs.SC,math.AC], ZIB preprint 17-33.
pdf file
Stephen Anco, Shahid Mohammad, Thomas Wolf, Chongrun Zhu:
Generalized negative flows in hierarchies of integrable evolution equations, 31 pages,
e-print arXiv: 1604.07779 nlin.SI, accepted for publication in JNMP, 2016
pdf file
Stephen C. Anco, Wei Feng, Thomas Wolf: Exact solutions of semilinear
radial Schrodinger equations by separation of group foliation variables,
Journal of Mathematical Analysis and Applications, vol 427, issue 2,
(2015), p 759-786
http://dx.doi.org/10.1016/j.jmaa.2015.02.058
and arXiv:1408.3751 [math-ph],
pdf file
Anco, S.C., Avdonina, E.D., Gainetdinova, A., Galiakberova, L.R., Ibragimov, N.H. and Wolf, T.:
Symmetries and conservation laws of the generalized Krichever-Novikov
equation, J. Phys. A: Math. and Theor. 49 (2016), no 10, 105201 (29 pages), also arXiv:1407.1258 [nlin.SI]
pdf file
Euler, M., Euler, N. and Wolf, T.: The Two-Component Camassa-Holm
Equations CH(2,1) and CH(2,2): First-Order Integrating Factors and
Conservation Laws, Journal of Nonlinear Mathematical Physics, 19,
supplement 1, DOI:10.1142/S1402925112400025 (2013), pp. 13-22,
pdf file
Odesskii, A., Wolf, T.: Compatible quadratic Poisson brackets related to
a family of elliptic curves, J. Geom. Phys. 63, 107-117 (2013), also arXiv:1204.1299,
pdf file
Anco, S.C., Mohiuddin, M., Wolf, T.: Traveling waves and conservation
laws for complex MKdV-type equations, Appl. Math. Comput. 219 (2012) 679-698
also arXiv:1110.2403,
pdf file
Anco, S.C., MacNaughton, S., Wolf, T.:
Conservation Laws and Symmetries of Quasilinear Wave Equations in
multi-dimensions, J. Math. Phys. 53, 053703 (2012);
http://dx.doi.org/10.1063/1.4711814 (33 pages)
(also arXiv:1109.1719)
pdf file
Wolf, T., Schrüfer, E., Webster, K.: Solving large linear
algebraic systems in the context of integrable non-abelian
Laurent ODEs, Programming and Computer Software, (2012),
doi:10.1134/S0361768812020065, also arXiv: 1109.2785 (nlin.SI),
dvi file, ps file, pdf file
Wolf, T., Efimovskaya, O.: On integrability of the Kontsevich
non-abelian ODE system,
Lett. in Math. Phys., vol 100, no 2 (2012), p 161-170,
DOI:10.1007/s11005-011-0527-4, arXiv:1108.4208v1 [nlin.SI],
ps file, pdf file
Anco, S.C., Ali, S. and Wolf, T.: Exact solutions of nonlinear partial
differential equations by the method of group-foliation reduction,
SIGMA 7 (2011), 066, 10 pages, also arXiv:1105.5303v4 [math-ph].
pdf file
Anco, S.C., Ali, S. and Wolf, T.:
Symmetry analysis and exact solutions of semilinear heat flow in multi-dimensions,
Journal of Mathematical Analysis and Applications, 379 (2011), 748-763,
also arXiv:1011.4633v3 [math.AP].
pdf file
Wolf, T.: The Parametric Solution of Underdetermined linear ODEs,
Programming and Computer Software, 37 (2011), Number 2, 62-70,
DOI: 10.1134/S0361768811020113
pdf file
Hussin, V., Kiselev, A.V., Krutov, A.O., Wolf, T.:
N=2 Supersymmetric a=4 - Korteweg-de Vries hierarchy derived
via Gardner's deformation of Kaup-Bousinesq equation,
J. Math. Phys. 51, 083507 (2010); doi:10.1063/1.3447731 (19 pages)
pdf file
Tsarev, S.P. and Wolf, T.: Hyperdeterminants as integrable discrete systems,
J. Phys. A: Math. Theor., 42 (2009), doi: 10.1088/1751-8113/42/45/454023, 9 pages.
also arXiv:0903.3864 (nlin.SI)
dvi file, ps file, pdf file
Wolf, T.: On Solving Large Systems of Polynomial Equations Appearing
in Discrete Differential Geometry,
Programming and Computer Software, 34 (2008), no 2, p 75-83,
DOI: 10.1134/S0361768808020047
pdf file
Anco, S., Bluman, G. and Wolf, T.: Invertible Mappings of Nonlinear PDEs
through Admitted Conservation Laws, Acta Appl Math 2008, electronic
publication: http://dx.doi.org/10.1007/s10440-008-9205-7
pdf file
Tsarev, S.P. and Wolf, T.: Classification of 3-dimensional
integrable scalar discrete equations, arXiv:0706.2464,
Lett. in Math. Phys. 84, (2008), number 1, p. 31-39,
DOI:10.1007/s11005-008-0230-2.
dvi file, ps file, pdf file
Wolf, T., Neun, W.: About a Computer Algebra based online Mathtest, in
Michael J Wester, Michel Beaudin (eds), "Computer Algebra in Education",
p. 1-6, ISBN-978-0-9754541-9-6, Aulonna Press 2008
(Proceedings of the session "Computer Algebra in Education"
at the Int. Conf. on Applications of Computer Algebra (ACA'07)).
dvi file, ps file, pdf file
Kiselev, A. and Wolf, T.: Classification of integrable super-equations
by the SsTools environment, Comp Phys Comm, Vol. 177, no. 3 (2007) p 315-328
(and on arXiv: nlin.SI/0609065).
dvi file, ps file, pdf file
Wolf, T.: Integrable quadratic Hamiltonians with a linear
Lie-Poisson bracket, Gen. Relativ. Gravit. 38, no 6(2006) 1115-1127,
DOI 10.1007/s10714-006-0293-2 (online jounal issue).
Kiselev, A. and Wolf, T.: Supersymmetric Representations and
Integrable Super-Extensions of the Burgers and Bussinesq
Equations, SIGMA, Vol. 2 (2006), Paper 030, 19 pages
(arXiv math-ph/0511071).
ps file, pdf file
Kiselev, A. and Wolf, T.: On weakly non-local, nilpotent,
and super-recursion operators for N=1 homogeneous
super-equations, Proc. Int. Workshop ``Supersymmetries
and Quantum Symmetries'' (SQS'05), Dubna, July 24-31, 2005,
JINR, p. 231-237. (arXiv nlin.SI/0511056)
http://theor.jinr.ru/~sqs05/SQS05.pdf dvi file, ps file, pdf file
Sokolov, V.V. and Wolf, T.: Integrable quadratic Hamiltonians
on so(4) and so(3,1), J. Phys. A: Math. Gen.
39 (2006) 1915-1926. (arXiv: nlin.SI/0405066)
pdf file
Anco, S. and Wolf, T.: Erratum on `Some symmetry classifications of hyperbolic
vector evolution equations', JNMP, Volume 12, no 4 (2005), p 607-608.
ps file, pdf file
Tsuchida, T. and Wolf, T.: Classification of polynomial integrable systems of mixed scalar
and vector evolution equations. I, J. Phys. A: Math. Gen. 38 (2005) 7691-7733
and on arxiv as nlin.SI/0412003.
pdf file
Anco, S. and Wolf, T.: Some symmetry classifications of hyperbolic
vector evolution equations, nlin.SI/0412015 (2004),
Journal of Nonl. Math. Physics, 12, Supplement 1 (2005), p 13 - 31.
dvi file, ps file, pdf file
Wolf, T.: Partial and Complete Linearization of PDEs
Based on Conservation Laws, in: Trends in Mathematics:
Differential Equations with Symbolic Computation, p. 291-306,
Birkhäuser Verlag Basel/Switzerland, Ed. Dongming Wang,
Zhiming Zheng (2005), also as preprint arXiv nlin.SI/0501034 (2004).
dvi file, ps file, pdf file
T. Wolf: Merging Solutions of Polynomial Algebraic Systems, preprint (2003), 5 pages.
dvi file, ps file
T. Wolf, O.V. Efimovskaya: Classification of integrable
quadratic Hamiltonians on e(3), Regular and Chaotic Dynamics,
8, no 2 (2003), p 155-162. (arxiv nlin.SI/0302001)
dvi file, ps file
T. Wolf: Applications of CRACK in the Classification of Integrable Systems,
CRM Proceedings and Lecture Notes, 37 (2004) pp. 283-300.
dvi file, ps file
T. Wolf, The integration of systems of linear PDEs using conservation
laws of syzygies, J. of Symb. Comp.35, no 5 (2003) 499-526.
dvi
file,
ps file,
pdf file
N. Euler, T. Wolf, P.G.L. Leach and M. Euler:
Linearizable Third-Order ODEs and Generalised
Sundman Transformations: The Case X'''=0,
Acta Applicandae Mathematicae, 76,
(2003) Issue 1, March, 89-115. dvi file, ps file
T. Wolf: Crack, LiePDE, ApplySym and ConLaw, section 4.3.5 and
computer program on CD-ROM in: Grabmeier, J., Kaltofen, E.
and Weispfenning, V. (Eds.): Computer Algebra Handbook,
Springer (2002) pp. 465-468.
dvi file, ps file
T. Wolf: Conservation Laws for Geodesic Motion in Curved Spaces and PDEs,
section 3.1.5.1 in: Grabmeier, J., Kaltofen, E.
and Weispfenning, V. (Eds.): Computer Algebra Handbook,
Springer (2002) pp. 187-190.
dvi file,
ps file
T. Wolf: Size reduction and partial decoupling of systems of
equations, J. Symb. Comp.,33 no 3 (2002) 367-383.
dvi file,
ps file,
pdf file
T. Wolf: A comparison of four approaches to the calculation
of conservation laws, Euro. Jnl of Applied Mathematics 13 part 2 (2002) 129-152.
dvi file, ps file, pdf file
V.V. Sokolov and T. Wolf: Classification of integrable polynomial vector
evolution equations, J. Phys. A: Math. Gen. 34 (2001) 11139-11148.
dvi file, ps file
A. Triulzi and T. Wolf: Recognizing overdetermined subsystems
of systems of equations, preprint, 6 pages (2000).
ps file
T. Wolf: The Symbolic Integration of Exact PDEs,
J. Symb. Comp.30 (no. 5) (2000) 619-629.
dvi file, ps file, pdf file
T. Wolf, A. Brand, M. Mohammadzadeh:
Computer algebra algorithms and routines for the
computation of conservation laws and fixing of gauge
in differential expressions, J. Symb. Comp., 27 (1999) 221-238.
dvi file,ps file,
V.V. Sokolov, T. Wolf: A symmetry test for
quasilinear coupled systems,
Inverse Problems 15 (1998) L5-L11.
dvi file ps file
T. Wolf: A study of Genetic Algorithms solving a Combinatorial Puzzle.
preprint (1997), 21 pages.
pdf file,ps file
T. Wolf, A. Brand: Examples of the investigation of differential
equations with modularized programs,
Mathl. Comput. Modelling 25 (1997), no 8/9,
133 - 139.
T. Wolf, A. Brand: Approaches to solving nonlinear ODEs,
Mathematics and Computers in Simulation 42,
(1996) 391-398.
T. Wolf: APPLYSYM - a package for the application of
Lie-symmetries, software distributed together with the computer
algebra system REDUCE, (1995).
T. Wolf, A. Brand: Investigating DEs with CRACK and Related Programs,
SIGSAM Bulletin, Special Issue, (June 1995), p 1-8.
T. Wolf: Programs for Applying Symmetries of PDEs, ISSAC-95,
7-15, ACM Press, (1995).
T. Wolf: An efficiency improved program LIEPDE for determining
Lie-symmetries of PDEs, Proc.of Modern Group Analysis: advanced
analytical and computational methods in mathematical physics,
Catania, Italy Oct.1992, Kluwer Acad.Publ. (1993) 377-385.
T. Wolf: Solving overdetermined PDE-systems with CRACK, software
included in the REDUCE network library, Aug.(1992)
T. Wolf: The Computer Algebra Package CRACK for investigating
PDEs, with A Brand, in proceedings of ERCIM, Partial Diffential
Equations and Group Theory, Bonn, (1992)
V. Sokolov, S. Svinolupov, T. Wolf: Linearizable evolutionary
equations of second order, Physics Lett.A , 163,
(1992), pp.415-418
H.J. Pohle, T. Wolf: Automatic Determination of Dynamical
Symmetries of Ordinary Differential Equations,
Computing 41, (1989) 297-307.
T. Wolf: A package for the analytic investigation and exact solution of
differential equations,
Proc. EUROCAL 87, Lect. Notes in Comp. Sci. 378,
(1989) 479-91.
T. Wolf: Analytical decoupling, decision of compatibility and partial
integration of systems of nonlinear ordinary and partial differential
equations,
Proc. EUROCAL 85, Lect. Notes of Comp. Sci. 204,
(1985) 597-98.
T. Wolf: An analytic algorithm for decoupling and integrating systems of
nonlinear partial differential equations,
J. of Comp. Phys. 60, no. 3, (1985) 437-46.
Adel Bouchareb, Chiang-Mei Chen, Gérard Clément,
Dmitri V. Gal'tsov, Nikolai G. Scherbluk, and Thomas Wolf:
G2 generating technique for minimal D=5 supergravity
and black rings, Phys. Rev. D 76, 104032 (2007) [arXiv:0708.2361 [hep-th]].
ps file, pdf file
Adel Bouchareb, Chiang-Mei Chen, Gérard Clément,
Dmitri V. Gal'tsov, Nikolai G. Scherbluk, and Thomas Wolf:
Erratum: G2 generating technique for minimal D=5 supergravity
and black rings, 1 page (2008).
ps file, pdf file
T. Wolf: Structural equations for Killing tensors of arbitrary
rank Comp. Phys. Comm., 115 (1998) 316 - 329.
dvi file, ps file, pdf file
T. Wolf: Killing Pairs in Flat Space, Gen Rel and Grav ,
30 (1998) 123-129.
M. Mars, T. Wolf: G_2 Perfect-Fluid
Cosmologies with a proper conformal Killing Vector,
Class. Quantum Grav. 14 (1997) 2303-2330.
T. Wolf: The program CRACK for solving PDEs in General Relativity, in
F.W. Hehl, R.A. Puntigam, and H. Ruder (Eds.):
Relativity and Scientific Computing: Computer Algebra,
Numerics, Visualization Springer Verlag (1996), 241-258.
H. Stephani, T. Wolf: Spherically symmetric perfect fluids in
shear-free motion - the symmetry approach, Class. Quantum
Grav. 13 (1996) 1261 - 1271.
T. Wolf, G.Grebot: Automatic symmetry investigation of space-time
metrics, Internat.J.of Modern Physics D. 3, No 1
(1994) 323-326.
T. Wolf, G. Neugebauer: About the non-existence of perfect fluid
bodies with the Kerr metric outside , J.Class &
Quantum Grav. 9, (1992) no.3 L37-L42
T. Wolf: About vacuum solutions of Einstein's field equations
with flat three-dimensional hypersurfaces,
J. Math. Phys. 27, (1987) 2354-9.
T. Wolf: A class of perfect fluid metrics with flat three-dimensional
hypersurfaces,
J. Math. Phys. 27, (1987) 2340-53.
T. Wolf: A note on the equivalence of two vacuum solutions,
Class. & Quantum Grav. 3, (1986)725.
H. Stephani, T. Wolf: Perfect fluid and vacuum solutions of Einstein's
field equations with flat 3-dim slices, in Galaxies, axisymmetric
systems and relativity: essays presented to W. B. Bonnor on his
65th birthday, ed. by Malcolm MacCallum, CUP, (1985) 275-87.
T. Wolf: Seki with 2 Liberties per Chain, ICGA Journal 39 (2017) 102–122,
DOI 10.3233/ICG-170011, IOS Press,
pdf file
(pdf
file of extended talk)
T. Wolf: A Classification of Semeai with Approach Moves, ICGA Journal,
Vol. 38, No. 4 (Dec 2015), pp. 224-241, arXiv:1608.02890 [math.CO]
pdf file
T. Wolf, Y. Seo: Unseen hard Life & Death Problems,
book manuscript, 203 pages (2011).
pdf file
T. Wolf, Y. Seo: Unseen moderate Life & Death Problems,
book manuscript, 203 pages (2011).
pdf file
T. Wolf: A Dynamical Systems Approach for Static Evaluation in Go,
IEEE Transactions on Computational Intelligence and AI in Games,
vol 3 (2011), no 2, DOI: 10.1109/TCIAIG.2011.2141669, also
arXiv:1108.4220 [cs.AI].
ps file, pdf file
Jeongmin Kim, T.Wolf: Computers make problems of life or death by themselves? (in Korean),
in Monthly Go, Journal of the Korean Baduk Association, ISSN 1228 4483, 2011, no 5, p 54-57.
pdf file
T. Wolf: Positions in the game of Go as Complex Systems,
Proceedings of 2009 IEEE Toronto International Conference (TIC-STH 2009)
- Science and Technology for Humanity, IEEE, Toronto, pp. 222-229,
ISBN 978-1-4244-3878-5.
ps file, pdf file
T. Wolf: A library of eyes in Go, I: Life & death definition
consistent with `bent-4', Games of No Chance 3, MSRI Publications,
Vol 56, 233-246, 2009.
(Proceedings of the International Workshop on Combinatorial Game
theory at BIRS in June 2005 (Banff International Research Station)).
pdf file
T. Wolf, M. Pratola: A library of eyes in Go, II: Monolithic eyes,
Games of No Chance 3, MSRI Publications, Volume 56, 249-268, 2009.
(Proceedings of the International Workshop on Combinatorial Game
theory at BIRS in June 2005 (Banff International Research Station)).
pdf file
Book: Wolf, T.: Mastering Ladders, Richmond, VA: Slate & Shell, 2008.
ISBN 1-932001-40-9
T. Wolf: Two Applications of a Life & Death Problem Solver in Go,
Journal of ÖGAI, Vol. 26 (2007), no. 2, 11-18
(special issue for the European Go Championship in Vienna 2007).
ps file
T. Wolf and L. Shen: Checking Life & Death Problems in Go I:
The Program ScanLD, ICGA Journal, vol. 30, no. 2, p67-74, and
Proceedings of the Computer Games Workshop 2007
(CGW 2007), MICC Technical Report Series, ISSN 0922-8721, number 07-06
(2007), p71-80.
(ps file)
and available as presentation at that workshop in Amsterdam (15-17 June 2007):
PDF File
L. Shen and T. Wolf: Checking Life & Death Problems in Go II: Results,
preprint, 29 pages, May 2007.
ps file
T. Wolf: Weiqi and Artificial Intelligence, in the journal
"The World of Weiqi", ISSN 1002-8706, no 4, 2006, p63-64 (in Chinese).
pdf file
T. Wolf: A Visit to the Chinese Go Association, Canadian Go Gazette
2003-2004, 20-21.
M. Pratola and T. Wolf: Optimizing GoTools' Search
Heuristics using Genetic Algorithms,
ICGA Journal 26 (2003), no 1, pp. 28-49.
ps file
T. Wolf: Forward pruning and other heuristic search techniques
in tsume go, Special issue of Information
Sciences 122 (2000), no 1, pp. 59-76.
ps file
T. Wolf: Heuristic search in the tsumego program GoTools,
Proceedings of JCIS 98, Research Triangle Park, North
Carolina, Oct 1998.
T. Wolf: The Diamond, British Go Journal, 108 (1997),
34-36.
T. Wolf: About computer go and the tsume go program GoTools,
Special issue of BIT (ISBN 00110-2-57035) (1997) 139-149.
T. Wolf, About problems in generalizing a tsumego program to open
positions, in Proceedings of the GPW'96 in Hakone/Japan,
(Sep. 1996), 20-26.
T. Yoshikawa, K. Ishihara, T. Wolf: About a tsumego processor
(in Japanese) Computer Today, 69, (1995) No 9, p 48-54.
T. Wolf: The program GoTools and its computer-generated tsume go
database, Proceedings of the Game Programming Workshop
in Japan'94, Hakone/Japan, (Oct. 1994) 84-96.
pdf file
T. Wolf: Go und Künstliche Intelligenz (I), 'Die Wurzel,
Zeitschrift für Mathematik, 12/93, 270-276
T. Wolf: Quality improvements in tsume Go mass production,
Proc.of the Second GO & Computer Science Workshop,
Cannes, 1993, publ.by INRIA Sophia-Antipolis
T. Wolf, Generating tsume go problems with GoTools, in Proc.of
the Fourth International Computer Olympidade, London, (1992)
T. Wolf: Tsume Go, with Risiko, in the Proc.of the First
Go & Computer Sc.Workshop, Cannes, (1992), publ.by INRIA
Sophia-Antipolis
T. Wolf: Tsume Go on a Computer, Proceedings of the ICOT-workshop,
(Nov. 1991) in Tokyo.
T. Wolf: Investigating tsumego problems with "RisiKo",
in "Heuristic Programming in Artificial Intelligence 2" ed.
D.N.L. Levy, D.F. Beal, Ellis Horwood Limited (1991), 153-160.
T. Wolf: Caribou-Wettbewerbe,
Die Wurzel, Zeitschrift für Mathematik, 9+10/2023, 227-229
issue pdf file
Thomas Wolf: Playful Learning of Formal and Informal Mathematics for
Kindergarten to University, FYMSiC Newsletter: Issue 10 (1 Jul 2022)
online
Wolf, T.: Caribou Math Contests: Not just a contest but a way of learning
and enjoying math, Fields Notes, v. 15:2, p 6-7 (2015)
journal pdf file,
article pdf file
T. Wolf: Calcrostics - a marathon test for the algebraic solution of
polynomial systems, talk given at ACA'10 (June 24-27, 2010),
University of Vlora/Albania
pdf
file
Anco SC, Seifi S, Wolf T. 2022 Symmetries and Casimirs of radial compressible
fluid flow and gas dynamics in n>1 dimensions. Proc. R. Soc. A 478: 20220511.
https://doi.org/10.1098/rspa.2022.0511 pdf file
V. Sokolov and T. Wolf: Integrable non-abelization of the flow on an
elliptic curve, arXiv:1809.03030 [nlin.SI], submitted: 9 Sep 2018
Arthemy V. Kiselev, Andrey O. Krutov, Thomas Wolf: Computing symmetries
and recursion operators of evolutionary super-systems using the SsTools
environment, 18 pages, arXiv:1805.12397 [nlin.SI], accepted for
publication in the book "Nonlinear Systems and Their Remarkable
Mathematical Structures" edited by Norbert Euler, to be published in CRC Press (2018).
pdf file
Stephen Anco, Shahid Mohammad, Thomas Wolf, Chongrun Zhu:
Generalized negative flows in hierarchies of integrable evolution equations, 31 pages,
e-print arXiv: 1604.07779 nlin.SI, accepted for publication in JNMP, 2016
pdf file
Adel Bouchareb, Chiang-Mei Chen, Gérard Clément,
Dmitri V. Gal'tsov, Nikolai G. Scherbluk, and Thomas Wolf:
Erratum: G2 generating technique for minimal D=5 supergravity
and black rings, 1 page (2008).
ps file, pdf file
L. Shen and T. Wolf: Checking Life & Death Problems in Go II: Results,
preprint, 29 pages, May 2007.
ps file
T. Wolf: Merging Solutions of Polynomial Algebraic Systems, preprint, 5 pages.
dvi file, ps file
A. Triulzi and T. Wolf: Recognizing overdetermined subsystems
of systems of equations, preprint, 6 pages (2000).
ps file
T. Wolf: A study of Genetic Algorithms solving a Combinatorial Puzzle.
preprint (1997), 21 pages.
pdf file,ps file
Thomas Wolf: Playful Learning of Formal and Informal Mathematics for
Kindergarten to University, FYMSiC Newsletter: Issue 10 (1 Jul 2022)
online
V. Sokolov and T. Wolf: Non-commutative generalization of integrable
quadratic ODE systems, Letters in Mathematical Physics, 110(3), 533-553,
DOI 10.1007/s11005-019-01229-0 and arxiv:1807.05583 [nlin.SI].
T. Wolf: Seki with 2 Liberties per Chain, ICGA Journal 39 (2017) 102–122,
DOI 10.3233/ICG-170011, IOS Press,
pdf file
(pdf
file of extended talk)
Thomas Wolf, Chimaobi Amadi:
Rational Solutions of Underdetermined Polynomial Equations, 11
pages, 2016, arXiv:1608.00697 [cs.SC,math.AC], ZIB preprint 17-33.
pdf file
Anco, S.C., Avdonina, E.D., Gainetdinova, A., Galiakberova, L.R., Ibragimov, N.H. and Wolf, T.:
Symmetries and conservation laws of the generalized Krichever-Novikov
equation, J. Phys. A: Math. and Theor. 49 (2016), no 10, 105201 (29 pages), also arXiv:1407.1258 [nlin.SI]
pdf file
T. Wolf: A Classification of Semeai with Approach Moves, ICGA Journal,
Vol. 38, No. 4 (Dec 2015), pp. 224-241, arXiv:1608.02890 [math.CO]
pdf file
Wolf, T.: Caribou Math Contests: Not just a contest but a way of learning
and enjoying math, Fields Notes, v. 15:2, p 6-7 (2015)
journal pdf file,
article pdf file
Stephen C. Anco, Wei Feng, Thomas Wolf: Exact solutions of semilinear
radial Schrodinger equations by separation of group foliation variables,
Journal of Mathematical Analysis and Applications, vol 427, issue 2,
(2015), p 759-786
http://dx.doi.org/10.1016/j.jmaa.2015.02.058
and arXiv:1408.3751 [math-ph],
pdf file
Euler, M., Euler, N. and Wolf, T.: The Two-Component Camassa-Holm
Equations CH(2,1) and CH(2,2): First-Order Integrating Factors and
Conservation Laws, Journal of Nonlinear Mathematical Physics, 19,
supplement 1, DOI:10.1142/S1402925112400025 (2013), pp. 13-22,
pdf file
Odesskii, A., Wolf, T.: Compatible quadratic Poisson brackets related to
a family of elliptic curves, J. Geom. Phys. 63, 107-117 (2013), also arXiv:1204.1299,
pdf file
Anco, S.C., Mohiuddin, M., Wolf, T.: Traveling waves and conservation
laws for complex MKdV-type equations, Appl. Math. Comput. 219 (2012) 679-698
also arXiv:1110.2403,
pdf file
Anco, S.C., MacNaughton, S., Wolf, T.:
Conservation Laws and Symmetries of Quasilinear Wave Equations in
multi-dimensions, J. Math. Phys. 53, 053703 (2012);
http://dx.doi.org/10.1063/1.4711814 (33 pages)
(also arXiv:1109.1719)
pdf file
Wolf, T., Schrüfer, E., Webster, K.: Solving large linear
algebraic systems in the context of integrable non-abelian
Laurent ODEs, Programming and Computer Software, (2012),
doi:10.1134/S0361768812020065, also arXiv: 1109.2785 (nlin.SI),
dvi file, ps file, pdf file
Wolf, T., Efimovskaya, O.: On integrability of the Kontsevich
non-abelian ODE system,
Lett. in Math. Phys., vol 100, no 2 (2012), p 161-170,
DOI:10.1007/s11005-011-0527-4, arXiv:1108.4208v1 [nlin.SI],
ps file, pdf file
T. Wolf: A Dynamical Systems Approach for Static Evaluation in Go,
IEEE Transactions on Computational Intelligence and AI in Games,
vol 3 (2011), no 2, DOI: 10.1109/TCIAIG.2011.2141669, also
arXiv:1108.4220 [cs.AI]
ps file, pdf file
Jeongmin Kim, T.Wolf: Computers make problems of life or death by themselves? (in Korean),
in Monthly Go, Journal of the Korean Baduk Association, ISSN 1228 4483, 2011, no 5, p 54-57.
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Anco, S.C., Ali, S. and Wolf, T.: Exact solutions of nonlinear partial
differential equations by the method of group-foliation reduction,
SIGMA 7 (2011), 066, 10 pages, also arXiv:1105.5303v4 [math-ph].
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Anco, S.C., Ali, S. and Wolf, T.:
Symmetry analysis and exact solutions of semilinear heat flow in multi-dimensions,
Journal of Mathematical Analysis and Applications, 379 (2011), 748-763,
also arXiv:1011.4633v3 [math.AP].
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Wolf, T.: The Parametric Solution of Underdetermined linear ODEs,
Programming and Computer Software, 37 (2011), Number 2, 62-70,
DOI: 10.1134/S0361768811020113
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Hussin, V., Kiselev, A.V., Krutov, A.O., Wolf, T.:
N=2 Supersymmetric a=4 - Korteweg-de Vries hierarchy derived
via Gardner's deformation of Kaup-Bousinesq equation,
J. Math. Phys. 51, 083507 (2010); doi:10.1063/1.3447731 (19 pages)
link
Tsarev, S.P. and Wolf, T.: Hyperdeterminants as integrable discrete systems,
J. Phys. A: Math. Theor., 42 (2009), doi: 10.1088/1751-8113/42/45/454023, 9 pages.
also arXiv:0903.3864 (nlin.SI)
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T. Wolf: Positions in the game of Go as Complex Systems,
Proceedings of 2009 IEEE Toronto International Conference (TIC-STH 2009)
- Science and Technology for Humanity, IEEE, Toronto, pp. 222-229,
ISBN 978-1-4244-3878-5.
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Wolf, T., Neun, W.: About a Computer Algebra based online Mathtest, in
Michael J Wester, Michel Beaudin (eds), "Computer Algebra in Education",
p. 1-6, ISBN-978-0-9754541-9-6, Aulonna Press 2008
(Proceedings of the session "Computer Algebra in Education"
at the Int. Conf. on Applications of Computer Algebra (ACA'07)).
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Tsarev, S.P. and Wolf, T.: Classification of 3-dimensional
integrable scalar discrete equations, arXiv:0706.2464,
Lett. in Math. Phys. 84, (2008), number 1, p. 31-39,
DOI:10.1007/s11005-008-0230-2.
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Wolf, T.: On Solving Large Systems of Polynomial Equations Appearing
in Discrete Differential Geometry,
Programming and Computer Software, 34 (2008), no 2, p 75-83,
DOI: 10.1134/S0361768808020047
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Anco, S., Bluman, G. and Wolf, T.: Invertible Mappings of Nonlinear PDEs
through Admitted Conservation Laws, Acta Appl Math 2008, electronic
publication: http://dx.doi.org/10.1007/s10440-008-9205-7
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Adel Bouchareb, Chiang-Mei Chen, Gérard Clément,
Dmitri V. Gal'tsov, Nikolai G. Scherbluk, and Thomas Wolf:
G2 generating technique for minimal D=5 supergravity
and black rings, Phys. Rev. D 76, 104032 (2007) [arXiv:0708.2361 [hep-th]].
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T. Wolf and L. Shen: Checking Life & Death Problems in Go I:
The Program ScanLD, ICGA Journal, vol. 30 (2007), no. 2, p67-74.
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T. Wolf: Two Applications of a Life & Death Problem Solver in Go,
Journal of ÖGAI, Vol. 26 (2007), no. 2, 11-18
(special issue for the European Go Championship in Vienna 2007).
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Kiselev, A. and Wolf, T.: Classification of integrable super-equations
by the SsTools environment, Comp Phys Comm, Vol. 177, no. 3 (2007) p 315-328
(and on arXiv: nlin.SI/0609065).
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Wolf, T.: Integrable quadratic Hamiltonians with a linear
Lie-Poisson bracket, Gen. Relativ. Gravit. 38, no 6(2006) 1115-1127,
DOI 10.1007/s10714-006-0293-2 (online jounal issue).
Kiselev, A. and Wolf, T.: Supersymmetric Representations and
Integrable Super-Extensions of the Burgers and Bussinesq
Equations, SIGMA, Vol. 2 (2006), Paper 030, 19 pages
(arXiv math-ph/0511071).
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Sokolov, V.V. and Wolf, T.: Integrable quadratic Hamiltonians
on so(4) and so(3,1), J. Phys. A: Math. Gen.
39 (2006) 1915-1926. (arXiv: nlin.SI/0405066)
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Anco, S. and Wolf, T.: Erratum on `Some symmetry classifications of hyperbolic
vector evolution equations', nlin.SI/0412015, JNMP, Volume
12, no 4 (2005), p 607-608.
Wolf, T.: Partial and Complete Linearization of PDEs
Based on Conservation Laws, in: Trends in Mathematics:
Differential Equations with Symbolic Computation, p. 291-306,
Birkhäuser Verlag Basel/Switzerland, Ed. Dongming Wang,
Zhiming Zheng (2005), also as preprint arXiv nlin.SI/0501034 (2004).
dvi file, ps file, pdf file
T. Tsuchida and T. Wolf: Classification of polynomial integrable systems of mixed scalar
and vector evolution equations. I, J. Phys. A: Math. Gen. 38 (2005) 7691-7733
and on arxiv as nlin.SI/0412003.
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Anco, S. and Wolf, T.: Some symmetry classifications of hyperbolic
vector evolution equations, nlin.SI/0412015 (2004),
Journal of Nonl. Math. Physics, 12, Supplement 1 (2005), p 13 - 31.
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T. Wolf: Applications of CRACK in the Classification of Integrable Systems,
CRM Proceedings and Lecture Notes, 37 (2004) pp. 283-300.
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T. Wolf, O.V. Efimovskaya: Classification of integrable
quadratic Hamiltonians on e(3), Regular and Chaotic Dynamics,
8, no 2 (2003), p 155-162.
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M. Pratola and T. Wolf: Optimizing GoTools' Search
Heuristics using Genetic Algorithms,
ICGA Journal 26 (2003), no 1, pp. 28-49.
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T. Wolf: The integration of systems of linear PDEs using conservation
laws of syzygies, J. of Symb. Comp.35, no 5 (2003) 499-526.
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N. Euler, T. Wolf, P.G.L. Leach and M. Euler:
Linearizable Third-Order ODEs and Generalised
Sundman Transformations: The Case X'''=0,
Acta Applicandae Mathematicae, 76,
(2003) Issue 1, March, 89-115. dvi file, ps file
T. Wolf: A comparison of four approaches to the calculation
of conservation laws, Euro. Jnl of Applied Mathematics 13 part 2 (2002) 129-152.
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T. Wolf: Size reduction and partial decoupling of systems of
equations, J. Symb. Comp., 33 (no. 3) (2002) 367-383.
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V.V. Sokolov and T. Wolf: Classification of integrable polynomial vector
evolution equations, J. Phys. A: Math. Gen. 34 (2001) 11139-11148.
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T. Wolf: The Symbolic Integration of Exact PDEs,
J. Symb. Comp.30 (no. 5) (2000) 619-629.
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T. Wolf: Forward pruning and other heuristic search techniques
in tsume go, Information
Sciences 122 (no. 1) (2000) pp. 59-76.
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T. Wolf, A. Brand, M. Mohammadzadeh:
Computer algebra algorithms and routines for the
computation of conservation laws and fixing of gauge
in differential expressions, J. Symb. Comp., 27 (1999) 221-238.
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V.V. Sokolov, T. Wolf: A symmetry test for
quasilinear coupled systems,
Inverse Problems 15 (1998) L5-L11.
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T. Wolf: Structural equations for Killing tensors of arbitrary
rank Comp. Phys. Comm., 115 (1998) 316 - 329.
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T. Wolf: Killing Pairs in Flat Space, Gen Rel and Grav ,
30 (1998) 123-129.
M. Mars, T. Wolf: G_2 Perfect-Fluid
Cosmologies with a proper conformal Killing Vector,
Class. Quantum Grav. 14 (1997) 2303-2330.
T. Wolf, A. Brand: Examples of the investigation of differential
equations with modularized programs,
Mathl. Comput. Modelling 25 (1997), no 8/9,
133 - 139.
T. Wolf: About computer go and the tsume go program GoTools,
Special issue of BIT (ISBN 00110-2-57035) (1997) 139-149.
H. Stephani & T. Wolf: Spherically symmetric perfect fluids in
shear-free motion - the symmetry approach, Class. Quantum
Grav. 13 (1996) 1261 - 1271.
T. Wolf, A. Brand: Approaches to solving nonlinear ODEs,
Mathematics and Computers in Simulation 42,
(1996) 391-398.
T. Wolf, G.Grebot: Automatic symmetry investigation of space-time
metrics, Internat.J.of Modern Physics D. 3, No 1
(1994) 323-326.
T. Wolf, G. Neugebauer: About the non-existence of perfect fluid
bodies with the Kerr metric outside , J.Class &
Quantum Grav. 9, (1992) no.3 L37-L42
V. Sokolov, S. Svinolupov, T. Wolf: Linearizable evolutionary
equations of second order, Physics Lett.A , 163,
(1992), pp.415-418
H.J. Pohle, T. Wolf: Automatic Determination of Dynamical
Symmetries of Ordinary Differential Equations,
Computing 41, (1989) 297-307.
T. Wolf: A class of perfect fluid metrics with flat three-dimensional
hypersurfaces,
J. Math. Phys. 27, (1987) 2340-53.
T. Wolf: About vacuum solutions of Einstein's field equations
with flat three-dimensional hypersurfaces,
J. Math. Phys. 27, (1987) 2354-9.
T. Wolf: A note on the equivalence of two vacuum solutions,
Class. & Quantum Grav. 3, (1986)725.
T. Wolf: An analytic algorithm for decoupling and integrating systems of
nonlinear partial differential equations,
J. of Comp. Phys. 60, no. 3, (1985) 437-46.
T. Wolf: A library of eyes in Go, I: Life & death definition
consistent with `bent-4', Games of No Chance 3, MSRI Publications,
Vol 56, 233-246, 2009.
(Proceedings of the International Workshop on Combinatorial Game
theory at BIRS in June 2005 (Banff International Research Station)).
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T. Wolf, M. Pratola: A library of eyes in Go, II: Monolithic eyes,
Games of No Chance 3, MSRI Publications, Volume 56, 249-268, 2009.
(Proceedings of the International Workshop on Combinatorial Game
theory at BIRS in June 2005 (Banff International Research Station)).
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T. Wolf and L. Shen: Checking Life & Death Problems in Go I:
The Program ScanLD, Proceedings of the Computer Games Workshop 2007
(CGW 2007), MICC Technical Report Series, ISSN 0922-8721, number 07-06
(2007), p71-80.
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Kiselev, A. and Wolf, T.: On weakly non-local, nilpotent,
and super-recursion operators for N=1 homogeneous
super-equations, Proc. Int. Workshop ``Supersymmetries
and Quantum Symmetries'' (SQS'05), Dubna, July 24-31, 2005.
JINR, p. 231-237. (arXiv nlin.SI/0511056)
http://theor.jinr.ru/~sqs05/SQS05.pdf dvi file, ps file, pdf file
T. Tsuchida and T. Wolf: Classification of integrable coupled systems
with one scalar and one vector unknown (in Japanese), in RIMS Kokyuroku,
ISSN 0034-5318, No. 1302 (2003) pp. 68-90
(Proceedings of the conference "New Developments in the Research of
Integrable Systems --- Continuous, Discrete, Ultra-discrete",
July 31-August 2, 2002, RIMS, Kyoto Univ.).
T. Wolf: Heuristic search in the tsumego program GoTools,
Proceedings of JCIS 98, Research Triangle Park, North
Carolina, Oct 1998.
T. Wolf: About problems in generalizing a tsumego program to open
positions, in Proceedings of the GPW'96 in Hakone/Japan,
(Sep. 1996), 20-26.
T. Wolf: Programs for Applying Symmetries of PDEs, ISSAC-95,
7-15, ACM Press, (1995).
T. Wolf: The program GoTools and its computer-generated tsume go
database, Proceedings of the Game Programming Workshop
in Japan'94, Hakone/Japan, (Oct. 1994) 84-96.
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T. Wolf, A. Brand: Heuristics for Solving Overdetermined Systems of
Partial Differential Equations, in
Artificial Intelligence in Mathematics ed. by J.H.Johnson,
S.McKee & A.Vella, The Institute of Mathematics and its
Applications, Oxford University Press, (1994) 225-232.
T. Wolf: An efficiency improved program LIEPDE for determining
Lie-symmetries of PDEs, Proc.of Modern Group Analysis: advanced
analytical and computational methods in mathematical physics,
Catania, Italy Oct.1992, Kluwer Acad.Publ. (1993) 377-385.
T. Wolf: Quality improvements in tsume Go mass production, Proc.of
the Second GO & Computer Science Workshop, Cannes, 1993,
publ.by INRIA Sophia-Antipolis
T. Wolf: Generating tsume go problems with GoTools, in Proc.of
the Fourth International Computer Olympidade, London, (1992)
T. Wolf: The Computer Algebra Package CRACK for investigating
PDEs, with A Brand, in proceedings of ERCIM, Partial Diffential
Equations and Group Theory, Bonn, (1992)
T. Wolf: Tsume Go, with Risiko, in the Proc.of the First
Go & Computer Sc.Workshop, Cannes, (1992), publ.by INRIA
Sophia-Antipolis
T. Wolf: Tsume Go on a Computer, Proceedings of the ICOT-workshop,
(Nov. 1991) in Tokyo.
T. Wolf: Investigating tsumego problems with "RisiKo",
in "Heuristic Programming in Artificial Intelligence 2" ed.
D.N.L. Levy, D.F. Beal, Ellis Horwood Limited (1991), 153-160.
T. Wolf: A package for the analytic investigation and exact solution of
differential equations,
Proc. EUROCAL 87, Lect. Notes in Comp. Sci. 378,
(1989) 479-91.
T. Wolf: Analytical decoupling, decision of compatibility and partial
integration of systems of nonlinear ordinary and partial differential
equations,
Proc. EUROCAL 85, Lect. Notes of Comp. Sci. 204,
(1985) 597-98.
T. Wolf: Caribou-Wettbewerbe,
Die Wurzel, Zeitschrift für Mathematik, 9+10/2023, 227-229
issue pdf file
Wolf, T.: Caribou Math Contests: Not just a contest but a way of learning
and enjoying math, Fields Notes, v. 15:2, p 6-7 (2015)
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Jeongmin Kim, T.Wolf: Computers make problems of life or death by themselves? (in Korean),
in Monthly Go, Journal of the Korean Baduk Association, ISSN 1228 4483, 2011, no 5, p 54-57.
pdf file
T. Wolf, Y. Seo: Unseen hard Life & Death Problems,
book manuscript, 203 pages (2011).
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T. Wolf, Y. Seo: Unseen moderate Life & Death Problems,
book manuscript, 203 pages (2011).
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T. Wolf: Calcrostics - a marathon test for the algebraic solution of
polynomial systems, talk given at ACA'10 (June 24-27, 2010),
University of Vlora/Albania
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T. Wolf: The Caribou Mathematics Contest, talk given at the OAME 2010 Annual
Conference Mathematics on the Brink (13-15 May, 2010, Brock University).
pdf file
Book: T. Wolf: Mastering Ladders, Richmond, VA: Slate & Shell, 2008.
ISBN 1-932001-40-9
T. Wolf: Weiqi and Artificial Intelligence, in the journal
"The World of Weiqi", ISSN 1002-8706, no 4, 2006, p63-64 (in Chinese).
pdf file
T. Wolf: A Visit to the Chinese Go Association, Canadian Go Gazette
2003-2004, 20-21.
T. Wolf: Crack, LiePDE, ApplySym and ConLaw, section 4.3.5 and
computer program on CD-ROM in: Grabmeier, J., Kaltofen, E.
and Weispfenning, V. (Eds.): Computer Algebra Handbook,
Springer (2002) pp. 465-468.
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T. Wolf: Conservation Laws for Geodesic Motion in Curved Spaces and PDEs,
section 3.1.5.1 in: Grabmeier, J., Kaltofen, E.
and Weispfenning, V. (Eds.): Computer Algebra Handbook,
Springer (2002) pp. 187-190.
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T. Wolf: The Diamond, British Go Journal, 108 (1997),
34-36.
T. Wolf: The program CRACK for solving PDEs in General Relativity, in
F.W. Hehl, R.A. Puntigam, and H. Ruder (Eds.):
Relativity and Scientific Computing: Computer Algebra,
Numerics, Visualization Springer Verlag (1996), 241-258.
T. Yoshikawa, K. Ishihara, T. Wolf: About a tsumego processor
(in Japanese) Computer Today, 69, (1995) No 9, p 48-54.
T. Wolf, A. Brand: Investigating DEs with CRACK and Related Programs,
SIGSAM Bulletin, Special Issue, (June 1995), p 1-8.
T. Wolf: APPLYSYM - a package for the application of
Lie-symmetries, software distributed together with the computer
algebra system REDUCE, (1995).
T. Wolf: Solving overdetermined PDE-systems with CRACK, software
included in the REDUCE network library, Aug.(1992)
T. Wolf: Go und Künstliche Intelligenz (I), 'Die Wurzel,
Zeitschrift für Mathematik, 12/93, 270-276
H. Stephani, T. Wolf: Perfect fluid and vacuum solutions of Einstein's
field equations with flat 3-dim slices, in Galaxies, axisymmetric
systems and relativity: essays presented to W. B. Bonnor on his
65th birthday, ed. by Malcolm MacCallum, CUP, (1985) 275-87.