PUBLICATIONS
## Submitted1. M. Motamed. Generalization of Kreiss Theory to Hyperbolic Problems with Boundary-type Eigenmodes, 2018. 2. M. Motamed. Fuzzy-Stochastic Partial Differential Equations, 2017. PDF available here
## Refereed Journals
3. M. Motamed and D. Appelo. A Multi-Order Discontinuous Galerkin
Monte Carlo Method for Hyperbolic Problems with Stochastic
parameters.
4. G. Malenova and M. Motamed and O. Runborg. Stochastic Regularity of
a Quadratic Observable of High Frequency Waves.
5. G. Malenova and M. Motamed and O. Runborg and R. Tempone. A Sparse
Stochastic Collocation Technique for High Frequency Wave Propagation
with Uncertainty.
6. I. Babuska and M. Motamed. A Fuzzy-Stochastic Multiscale Model for
Fiber Composites: A One-Dimensional Study.
7. M. Motamed and F. Nobile and R. Tempone. Analysis and Computation of the Elastic Wave Equation with Random Coefficients.
8. Q. Long and M. Motamed and R. Tempone. Fast Bayesian Optimal Experimental Design for Seismic Source Inversion.
9. M. Motamed and O. Runborg. A Wavefront-Based Gaussian Beam Method for Computing High Frequency Wave Propagation Problems.
10. I. Babuska and M. Motamed and R. Tempone. A stochastic multiscale method for the elastodynamic wave equations arising from fiber composites.
11. M. Motamed and F. Nobile and R. Tempone. A Stochastic Collocation Method for the Second Order Wave Equation with a Discontinuous Random Speed.
12. M. Motamed and C. B. Macdonald and S. J. Ruuth. On the Linear Stability of the Fifth-Order WENO Discretization.
13. M. Motamed and O. Runborg. Taylor Expansion and Discretization Errors in Gaussian Beam Superposition.
14. M. Motamed and O. Runborg. A Multiple-Patch Phase Space Method for Computing Trajectories on Manifolds with Applications to Wave Propagation Problems.
15. M. Motamed and O. Runborg. A Fast Phase Space Method for Computing Creeping Rays.
16. M. Motamed, M. Babiuc, B. Szilagyi, H-O. Kreiss, and J. Winicour. Finite Difference Schemes for Second Order Systems Describing Black Holes.
## Private Communication17. I. Babuska and M. Motamed. Neumann Recovery Technique in Numerical Homogenization, 2016.18. I. Babuska and M. Motamed. Fuzzy Set Theory and Fuzzy Randomness: A New Computational Approach, 2016.
## Chapter in Books, Conference Proceedings, Theses19. M. Motamed and F. Nobile and R. Tempone. Analysis and Computation of Hyperbolic PDEs with Random Data.Encyclopedia of Applied and Computational Mathematics, pp. 51-58, 2015.
20. M. Motamed and O. Runborg. Asymptotic Approximations of High Frequency Wave Propagation Problems.
21. M. Motamed. Topics in Analysis and Computation of Linear Wave Propagation.
22. M. Motamed and O. Runborg. Solution of High-Frequency Wave Propagation Problems by a Fast Multiple-Patch Phase Space Method.
23. M. Motamed and O. Runborg. A Wavefront Gaussian Beam Method for High Frequency Wave Propagation.
24. M. Motamed. Phase Space Methods for Computing Creeping Rays.
25. M. Motamed and O. Runborg. A Fast Method for the Creeping Ray Contribution to Scattering Problems.
26. M. Motamed. PML Methods for Aero Acoustics Computations.
motamed@math.unm.edu |