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Continuum models for microstructure formation

Partial differential equations

Spectral methods

Convection

Convection Simulation at Infinite Prandtl Number:

Math 450 Advanced Engineering Mathematics webpage

Math 255 Section 6 Applied Honours Calculus III webpage

Math 471 Numerical Methods webpage

Math 404 Intermediate Differential Equations webpage

Math 156 Section 1 Applied Honours Calculus II webpage

Math 255 Section 5 Applied Honours Calculus III

O.U. Salman,

G. Chen, B.
Cloutier, N. Li, __B.K. Muite__, P.
Rigge and S.
Balakrishnan, A. Souza, J.
West, "Parallel Spectral Numerical Methods", webpage

J.C.
DiFranco, P.D.
Miller, __B.K. Muite__ "On the modified nonlinear
SchrÃ¶dinger equation in the semiclassical limit: supersonic, subsonic, and
transsonic behavior", Acta
Mathematica Scientia 31,
2343-2377, (2011) arXiv:1111.1036
programs

__B.K. Muite__, "A numerical
comparison of Chebyshev methods for solving fourth-order semilinear
initial boundary value problems",

Journal of Computational and Applied Mathematics
234, 317-342, (2010) preprint
version - pdf,
journal article,
programs,
corrected version - pdf

__B.K. Muite__, "Analysis,
Modelling and Simulation of Shape Memory Alloys", D. Phil Thesis,
pdf
supervised by John
Ball and Petr
Plechac

__B.K. Muite__, "The secondary
flow in a cylindrical container with a rotating end-wall at small but
finite Reynolds number", Physics of Fluids **16**,
3614-3626, (2004) pdf.
Copyright 2004 American Institute of Physics. The article may be
downloaded for personal use only. Any other use requires prior
permission of the author and the American Institute of Physics. The
above article may be found here
http://link.aip.org/link/PHFLE6/v16/p3614.

__B.K. Muite__, M.
Hunt, G.G. Joseph, "The effects of a counter-current interstitial
flow on a discharging hourglass", Physics of Fluids **16**,
3415-3425, (2004) pdf. Copyright
2004 American Institute of Physics. The article may be downloaded for
personal use only. Any other use requires prior permission of the author
and the American Institute of Physics. The above article may be found
here
http://link.aip.org/link/PHFLE6/v16/p3415.

__B.K. Muite__, S.F. Quinn, K.
Kesava Rao, S.
Sundaresan, "Silo quake and silo music: Granular flow induced
vibration", Powder Technology **145**,
190-202, (2004) Please email me to obtain a copy, or see the journal
article here.

B.K. Muite, "The Chebyshev Integral Formulation for Performing High Spatial Resolution Collocation Simulations", Proc. ECCM 2010, preprint

__B.K.Muite__, O.U.
Salman, "Computations
of
geometrically linear and nonlinear Ginzburg-Landau models for
martensitic pattern formation", European Symposium on Martensitic
Transformations (ESOMAT), Prague,
2009, paper

R. de la Cruz, B.K. Muite, H. Servat, "Strong linear scaling for spectral simulations of time dependent semilinear partial differential equations on Marenostrum", World Congress on Computational Mechanics (WCCM), Venice, 2008, preprint

SIAM Conference on Materials Science May 2010

Seminar at Humboldt University, July 2008, Combines work presented at ICOMAT and WCCM

Multimat Cambridge Conference March 2006

W.
Tirry, J.M. Ball, __B.K.
Muite__, D.
Schryvers, "Stress-induced interfaces between austenite and
untwinned martensite"

P. Rigge, B.K. Muite, "High order time stepping methods for precise Fourier pseudo-spectral discretizations of the sine Gordon Equation"

NAG