Partial differential equations
Taylor Green Vortex Flow:
Warnez, B.K. Muite, "Reduced temporal convergence
rates in high-order splitting schemes", arXiv:1310.3901
O.U. Salman, B.K. Muite, A. Finel, "Origin of stabilization of macrotwin boundaries in martensites", arXiv:1101.4748
Klein, B.K. Muite, K.
Roidot, "Numerical Study of Blowup in the Davey-Stewartson
System", Discrete and Continuous Dynamical Systems - Series B 18(5),
1361-1387, (2013) Matlab
programs Fortran programs arXiv:1112.4043,
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 Schrödinger 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) pdf preprint version , journal article, programs, pdf corrected version .
B.K. Muite, "Analysis, Modelling and Simulation of Shape Memory Alloys", D. Phil Thesis, pdf supervised by J.M. Ball and P. 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. © 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.
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 © 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.
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.
Selected Conference Abstracts and Papers
Li, B.K. Muite, E.
Van Moer, J.
Vienne, "Solving the Klein-Gordon equation using Fourier
spectral methods: A benchmark test for computer performance",
23rd High Performance Computing Symposium (HPC 2015) held in
Conjunction with 2015 Spring Simulation Multi-Conference, April
2015. (Eds.)L.T. Watson, W.I Thacker, J. Weinbub, K. Rupp, M. Sosnkina.
The Society for Modeling and Simulation International:, (Simulation Series), 182 - 191.
B. Cloutier, B.K. Muite, P. Rigge, "Performance of FORTRAN and C GPU Extensions for a Benchmark Suite of Fourier Pseudospectral Algorithms", Proc. SAAHPC 2012, paper arXiv:1206.3215
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
and Analysis 2016
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
SIAM Annual meeting July 2006