Deterministic and stochastic partial differential equations
Multiscale problems, modeling and simulation
High frequency wave propagation problem
M. Motamed and F. Nobile and R. Tempone. A Stochastic Collocation Method fo the Second Order Wave Equation with a Discontinuous Random Speed. Journal of Numerische Mathematik, In Press, 2012.
M. Motamed and C. B. Macdonald and S. J. Ruuth. On the Linear Stability of the Fifth-Order WENO Discretization. Journal of Scientific Computing, vol. 47, no. 2, pp. 127-149, 2011.
M. Motamed and O. Runborg. Taylor Expansion and Discretization Errors in Gaussian Beam Superposition. Wave Motion, vol. 47, no. 7, pp. 421-439, 2010.
M. Motamed and O. Runborg. A Multiple-Patch Phase Space Method for Computing Trajectories on Manifolds with Applications to Wave Propagation Problems. Communications in Mathematical Sciences, vol. 5, no. 3, pp. 617-648, 2007.
M. Motamed and M. Babiuc and B. Szilagyi and H-O. Kreiss and J. Winicour. Finite Difference Schemes for Second Order Systems Describing Black Holes. Journal of Physical Review D, vol. 73, issue 12, 2006.
2003-2008 Doctorate, Department of Numerical Analysis, KTH Royal Institute of Technology, Stockholm, Sweden
2002-2003 Master of Science, Department of Numerical Analysis, KTH Royal Institute of Technology, Stockholm, Sweden
Past teaching at KAUST: a tutorial course on ”computational high frequency wave propagation”
Current teaching at KAUST: a series of advanced lectures on ”Non-homogeneous boundary value problems and applications” based ont the book by J. L. Lions and E. Magenes