Wen Zhang


Publications


[1] Ling, G. C. and Zhang, W.

Numerical study on flow past a circular cylinder by inviscid model, Proc. of 3rd Asian Congress of Fluid Mech., Tokyo, Japan, (1986) pp.386-389.


[2] Shampine, L. F. and Zhang, W.

Efficient integration of ordinary differential equations by transformations, Comput. Math. Applic., Vol. 15, No. 3, (1988) pp.213-220.


[3] Shampine, L. F. and Zhang, W.

Convergence of LMM when the solution is not smooth, Comput. Math. Applic., Vol. 18, No. 4, (1989) pp.365-372.


[4] Shampine, L. F. and Zhang, W.

Rate of convergence of multistep codes started by variation of order and step size, Siam. J. Numer. Anal., Vol. 27, No. 6, (1990) pp.1506-1518.


[5] Zhang, W. and Gladwell, I.

Bifurcation phenomena in a detonation problem, Appl. Numer. Math., Vol. 9, (1992) pp.427-445.


[6] Zhang, W. and Gladwell, I.

Bifurcation phenomena in singular free boundary value problems of ordinary differential equations, Appl. Numer. Math., Vol. 10, (1992) pp.149-158.


[7] Zhang, W. and Gladwell, I.

A catalytic surface reaction model: analysis and numerical simulation, Int. J. Bif. and Chaos, Vol. 2, (1992) pp.577-596.


[8] Zhang, W. and Gladwell, I.

Analysis of a simplified detonation problem, Math. Engng. Ind., 4 (1993) 1-11.


[9] Zhang, W.

Diffusive effects on a catalytic surface reaction model: an initial boundary value problem in reaction-diffusion-convection equations, Int. J. Bif. and Chaos, 3 (1993) 79-95.


[10] Zhang, W.

The starting procedure in variable-stepsize variable-order PECE codes, J. Comp. Appl. Math., 53 (1994) 73-86.


[11] Zhang, W. and West, B. J.

Analysis and numerical computation of the dimension of colored noise and deterministic time series with power-law spectra, Fractals, 2 (1994) 53-64.


[12] West, B. J.; Zhang, W. and Mackey, H. J.

Chaos, noise and biological data, in Fractals in Biology and Medicine, eds. Nonnenmacher, T. F., Losa, G. A. and Weibel, E. R., (1994) 39-54.


[13] Zhang, W.; Schneibel, J. H. and Hsueh, C. H.

Sintering of regular two-dimensional arrays of particles by surface and grain boundary diffusion, Phil. Mag. A 70 (1994) 1107-1118. (Correction: All 'coth' appeared in the equations should be 'cot'.)


[14] Zhang, W. and Schneibel, J. H.

Numerical simulation of grain-boundary grooving by surface diffusion, Comp. Mater. Sci. 3 (1995) pp. 347-358.


[15] Zhang, W. and Schneibel, J. H.

The sintering of two particles by surface and grain boundary diffusion - a two-dimensional numerical study, Acta Metall. Mater., 43 (1995) pp. 4377-4386.


[16] Zhang, W.

Using MOL to solve a high order nonlinear PDE with a moving boundary in the simulation of a sintering process, Appl. Numer. Math., 20 (1996) pp. 235-244.


[17] Zhang, W. and West, B. J.

Box dimension of colored noise and deterministic time series in high Euclidean space, Fractals, 4 (1996) pp. 91-95.


[18] Zhang, W. and Schneibel, J. H.

Calculations of internal stresses during sintering, J. Am. Ceramic Soc., 79 (1996) pp. 2141-44.


[19] Zhang, W.

Simulation of pressure-sintering of regular arrays of particles in 2-D, Applied Mathematics and Mechanics, Applied Sciences - Especially Mechanics of Zeitschrift fuer Angewandte Mathematik und Mechanik (ZAMM), 76, S5 (1996) pp. 567-568, Akademie Verlag, Berlin.


[20] Zhang, W. and Gladwell, I.

The sintering of two particles by surface and grain boundary diffusion - a three-dimensional model and a numerical study, Comp. Mater. Sci., 12 (1998) pp. 84-104.


[21] Zhang, W. and Gladwell, I.

Performance of MOL for surface motion driven by a Laplacian of curvature, in Lecture Notes in Phyics, Numerical Treatment of Multiphase Flows in Porous Media, Eds. Chen, Ewing and Shi, (Springer-Verlag, Berlin//Heidelberg, 1999) pp. 419-429.


[22] Zhang, W. and Gladwell, I.

A mathematical and computational model for stress on a planar grain boundary under diffusion, in Sintering Science and Technology, Eds. German, Messing and Cornwall, (The Penn-State Univ, University Park, 2000) pp. 417-421.


[23] Sachenko, P.; Schneibel, J. H.; Swadener, J. G. and Zhang, W.

Experimental and simulated grain boundary groove profiles in tungsten, Phil. Mag. Let., 80 (2000) pp. 627-631.


[24] Kuttler, K.L.; Park, A.; Shillor, M. and Zhang, W.

Unilateral Dynamic Contact of Two Beams, Math. Comp. Modelling, 34 (2001) pp. 365-384.


[25] Zhang, W. and Gladwell, I.

Morphological evolution of a 3D array of particles under surface diffusion, in Contemporary Mathematics 295 - Fluid Flow and Transport in Porous Media: Mathematical and Numerical Treatment, Eds. Z. Chen and R. E. Ewing, (American Mathematical Society) 2001, pp. 519-524.


[26] Sachenko, P.; Schneibel, J. H. and Zhang, W.

Effect of faceting on the thermal grain boundary grooving of tungsten, Phil. Mag. A, 82 (2002) pp. 815-829.


[27] Zhang, W.; Sachenko, P. and Schneibel, J. H.

Kinetics of thermal grain boundary grooving for changing dihedral angles, JMR. 17 (2002) pp. 1495-1501. .


[28] Zhang, W.; Sachenko, P.; Schneibel, J. H. and Gladwell, I.

Coalescence of two particles with different sizes by surface diffusion, Phil. Mag. A, 82 (2002) pp. 2995-3011.


[29] Zhang, W. and Gladwell, I.

Evolution of two-dimensional crystal morphologies by surface diffusion with anisotropic surface free energies, Comp. Mater. Sci., 27 (2003) pp. 461-470.


[30] Zhang, W.; Sachenko, P. and Gladwell, I.

Thermal grain bounary grooving with anisotropic surface free energies, Acta Mat. 52 (2004) pp.107-116.


[31] Sachenko, P.; Schneibel, J. H. and Zhang, W.

Observation of secondary oscillations in thermal grain boundary grooves, Acta Scripta Mater. 50 (2004) 1253-1257.


[32] Zhang, W.; Sachenko, P. and Schneibel, J. H.

Effect of Increase of Dihedral Angle on Thermal Grain Boundary Grooving, Defects and Diffusion Forum, Vols. 233-234 (2004) pp. 149-160. [Download paper in pdf]


[33] Zhang, W. and Gladwell, I.

Thermal grain boundary grooving with anisotropic surface free energy in three-dimensions, Journal of Crystal Growth, 277/1-4 (2005) pp. 608-622. [Download paper in pdf]


[34] Zhang, W. and Gladwell, I.

The effect of the corner condition on the evolution of two-dimensional crystal morphologies by surface diffusion with anisotropic surface free energies, Comp. Mater. Sci., 40 (2007) pp. 57-65.

[Download paper in pdf]
[35] Zhang, W.

Evolution of crystal morphologies to equilibrium by surface diffusion with anisotropic surface free energy in three-dimensions, Journal of Crystal Growth, 297 (2006) pp. 169-179. DOI link [Download paper in pdf]



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