Publication of Wen Shen

Research Papers in Journals

(19). Debora Amadori and Wen Shen
Slow Erosion Limit in Model of Granular Flow.
Preprint 2008.
[ a pdf-file ]
(18). Alberto Bressan and Wen Shen
Measure Valued Solutions to a Harvestign Game with Several Players.
Preprint 2008.
[a pdf-file]
(17). Debora Amadori and Wen Shen,
Global Existence of Large BV Solutions in a Model of Granular Flow.
Preprint 2008.
[ a pdf-file ]
(16). Alberto Bressan and Wen Shen,
Measure Valued Solutions for a Differential Game Related to Fish Harvesting.
Preprint 2007. Submitted in 2007.
[ a pdf file ].
(15). Wen Shen,
On the Shape of Avalanche.
J. Math Anal. Appl. 339 (2008) 828-838.
[ a pdf file ].
(14). Wen Shen and Zhengfu Xu,
Vanishing Viscosity Approximation to Hyperbolic Conservation Laws.
Journal of Differential Equations, 244(2008) 1697-1711.
[ a pdf-file ].
(13). W. Shen,
Non-cooperative and Semi-cooperative Differential Games,
Preprint 2006. Accepted for publication in Annals of ISDG(International Symposium of Dynamical Games), 2007.
[ a pdf-file ]
(12). A. Bressan and W. Shen,
Optimality Conditions for Solutions to Hyperbolic Balance Laws
In ``Control Methods in PDE and Dynamical Systems'', F.~Ancona and R.~Triggiani eds., AMS Contemporary Mathematics Series 426, pp 129--152, 2007.
[ a pdf-file]
(11). A. Bressan and W. Shen,
Unique Solutions of Discontinuous O.D.E.'s in Banach Spaces,
Analysis and Applications, Vol. 4, No. 3 (2006) 247-262.
[ a pdf-file and a ps-file . ]
(10). W. Shen and M. Park,
Optimal Tracing of Viscous Shocks in Solutions of Viscous Conservation Laws,
SIAM J. Math.Anal. vol. 38, No. 5, (2007) pp.1474-1488.
[ a pdf-file .]
(9). A. Bressan and W. Shen,
Semi-cooperative Strategies for Differential Games,
International Journal of Game Theory, Vol 32, No 4, (2004), pp. 561-593.
[ pdf-file and ps-file . ]
(8). A. Bressan and W. Shen,
Small BV Solutions of Hyperbolic Non-cooperative Differential Games,
SIAM J. Control and Optimization, Vol. 43, No. 1, pp. 104-215, 2004
[pdf-file and ps-file.]
(7). A. M. Bruaset, X. Cai, H. P. Langtangen, G. T. Lines, K. Samuelsson, W. Shen, A. Tveito, G. Zumbusch,
Performance modeling of PDE solvers.
In H. P. Langtangen and A. Tveito, editors, Advanced Topics in Computational Partial Differential Equations -- Numerical Methods and Diffpack Programming.
pp. 361-399, Springer, 2003.
[ pdf-file.]
(6). A. Bressan and W. Shen,
BV estimate for multicomponent chromatography with relaxation,
Discrete and Continuous Dynamical Systems, The Millennium Issue, 6 (2000), pp. 21-38.
[ ps-file and pdf-file.]
(5). A. Bressan, W. Shen,
On Discontinuous Differential Equation,
Differential Inclusions and Optimal Control, Lecture Notes in Nonlinear Analysis, Vol. 2, 1998, pp. 73-87.
[ a postscript file, 391330 bytes. and pdf-file]
(4). W. Shen, A. Tveito and R. Winther,
On the zero relaxation limit for a system modeling the motions of a viscoelastic solid,
SIAM J. Math. Anal. Vol. 30, No. 5, pp. 1115-1135, 1999.
[ a postscript file, 292325 bytes and a pdf file. ]
(3). A. Bressan, W. Shen,
Uniqueness for discontinuous ODEs and conservation laws
Nonlinear Analysis, Theory, Methods, and Applicatipns, 34 (1998) pp. 637--652.
[ a postscript file, and a pdf file.]
(2). W. Shen,
Error bounds of finite difference schemes for two-dimensional scalar conservation with source terms,
IMA Journal of Numerical Analysis, vol. 19, pp. 77-89, 1999.
[ a ps-file and a pdf-file ]
(1). W. Shen, A. Tveito and R. Winther,
A system of conservation laws including a stiff relaxation term; the 2D case,
BIT, 36:4(1996), pp. 786-813.
[ a ps-file and a pdf-file]

Proceeding Papers

(5). W.Shen,
On a Model of Granular Flow
submitted to the proceedings of HYP2008, Maryland, 2008.
[a pdf-file]
(4). W. Shen,
Finite Dimensional Representation of Solutions of Viscous Conservation Laws
in "Hyperbolic Problems: Theory, Numerics, Applications", Proceeding of HYP2006 in Lyon, France. S. Benzoni-Gavage and D. Serre editors. Springer 2008. pp 981-988.
[ a pdf-file ].
(3). A. Bressan and W. Shen,
Non-cooperative Differential Games,
in "Hyperbolic Problems: Theory, Numerics, Applications", Proceeding of HYP2004 in Osaka. F. Asakura, chief editor, Yokohama Publishers, pp. 77--84, 2006.
[a postscript file. and a pdf file]
(2). A. Bressan and W. Shen,
The convergence of Multicomponent chromatography with relaxation
in "Hyperbolic Problems: Theory, Numerics, Applications", Proceedings of HYP2000 in Magdeburg. H.Freistuehler and G. Warnecke eds., Birkhauser Verlag, Basel, pp. 197-205, 2001.
[a ps file and a pdf file ].
(1). W. Shen, A. Tveito and R. Winther,
Rate of convergence for the zero relaxation limit.
``Hyperbolic Problems: Theory, Numerics, Applications'', the proceedings of the 7th Int. Conf. on Hyperbolic Problems. Editors: M.~Fey and R.~Jeltsch, International Series of Numerical Mathematics, Vol. 130, pp.~865-874, Birhauser Verlag Basel, Switzerland, 1999.
[a postscript file and a pdf file.]

Thesis:

(2). W. Shen,
Hyperbolic Conservation Laws with Relaxation Terms,
PhD. Thesis, Department of Informatics, University of Oslo, Norway. March 30, 1998.
(1). Wen Shen,
Numerical Solution of the Pressure Equation in a Simple Model of Aluminium DC-casting,
Thesis for Cand. Scient. Degree, Institute of Informatics, University of Oslo, and Section for Applied Mathematics, SINTEF, Oslo, Norway, April 1994.
[ a compressed postscript file, 748675 bytes ]

Research reports:

(5). A.M. Bruaset, X. Cai, H.P. Langtangen, G.T. Lines, K. Samuelsson, W. Shen, A. Tveito and G. Zumbusch,
CPU-measurements of some numerical PDE simulations,
Technical report, Preprint 1998-3, Department of Informatics, University of Oslo, Norway.
(4). Wen Shen,
A comparison between two finite element methods for the solution of a simplified model of alloy casting,
Research Report, ISBN 82-7368-121-1, ISSN 0806-3036, December 1995, Department for Informatics, University of Oslo, Norway.
[ a compressed postscript file, 418876 bytes ]
(3). H. Thevik, A. Mo, W. Shen,
To-dimensjonale strøminingseffekter ved utsvetting under DC-støping,
SINTEF-report no. STF24 F94064, 1994. Section for Applied Mathematics, SINTEF, Oslo, Norway. (In Norwegian.)
(2). H. P. Langtangen, G. Pedersen and W. Shen,
Finite Element Preprocessors in Diffpack,
SINTEF-report no. STF33 A94051 (1994).
[ a postscript file, and a pdf-file . ]
(1). W. Shen, A. M. Bruaset,
Mixed Finite Element Solution of Elliptic Boundary Value Problems,
SINTEF-report no. STF33 A94018, 1994.
[a compressed postscript file, 337657 bytes ]

Some talks with PS-file slides avaibale (very old stuff):

Convergence and BV estimate for multicomponent chromatography with relaxation,
Oberwolfach, October 2000.
[ a postscript file.]
BV estimate for multicomponent chromatography with relaxation,
Magdebourg, HYP2000, Feb. 2000.
[ a postscript file.]
A brief introduction to multigrid methods,
trial lecture(prøveforelesning) for Ph.D defence. June 15, 1998, Oslo, Norway.
[ a postscript file.]
Hyperbolic conservation laws with relaxation terms,
disputas for Ph. D Thesis, June 15, 1998, Oslo, Norway.
[ a postscript file.]
Non-oscillatory Higher-order Central Differencing for Nonlinear Conservation Laws in 1D and 2D; Applications to Oil Recovery,
December, 1997, Oslo.
[ a postscript file, 866 Kb]
A computational study of the accuracy of some numerical methods for models of two- and three-phase flow arising in reservoir simulation,
May, 1997, Oslo.
[ a postscript file, 962 Kb]
Two Phase Flow Simulator in DIFFPACK,
Sept., 13, 1996, Oslo.
[ a compressedpostscript file, 523414 bytes]
Error bounds of finite difference schemes for 2D scalar conservation laws with source terms,
HYP'96, 15-19 June 1996, Hong Kong.
[ a compressedpostscript file, 219857 bytes]
Higher-order Godunov methods and high-resolution methods for Petroleum Reservoir Simulation,
An introductory course on Reservoir Simulation, Holmenkollen, Oslo, March 1996
[ a postscript file, 300 Kb]
Numerical Solution of the Pressure Equation in a Simple Model of Aluminium DC-Casting
Norsk numerikk møte, Selbu, Norway, June 1994.
[ a compressedpostscript file, 1022429 bytes]

Last modified: Jan. 3, 2008, by Wen Shen.