Mathematics

A hierarchical solver for extruded meshes with applications to ice sheet modeling

In A. D. Baczewski & M. L. Parks (Eds.), Center for Computing Research Summer Proceedings 2017 (Technical Report No. SAND2018-2780O; pp. 3–18). Sandia National Laboratories.

Scheduling Parallel Tasks using Graph Coloring.

Sandia National Lab.(SNL-NM), Albuquerque, NM (United States).

Parallel Hierarchical Linear Solvers and Fast Multipole Methods with Applications

Stanford University.

Fast algorithms for evaluating the stress field of dislocation lines in anisotropic elastic media

Modelling and Simulation in Materials Science and Engineering, 26(4), 045007.

A distributed-memory hierarchical solver for general sparse linear systems

Parallel Computing, 74, 49–64.

A Hierarchical Low-Rank Solver for Sparse Linear Systems and Its Variations.

Sandia National Lab.(SNL-NM), Albuquerque, NM (United States).

Long wave instability of thin film flowing down an inclined plane with linear variation of thermophysical properties for very small Biot number

International Journal of Non-Linear Mechanics. https://www.sciencedirect.com/science/article/pii/S0020746217306613

Convergence analysis of alternating direction methods: A general framework and its applications to tensor approximations

[Preprint].

Decoupling of Lattice Vibration

[Preprint].

A theoretical consideration of matrix-operative alternating least squares methods for orthogonal CP tensor approximation

[Preprint].

Global rank-1 approximation for order-3 tensors

[Preprint]. https://mtchu.math.ncsu.edu/Research/Papers/Rank1_Order3_Global.pdf

An $l^2$ decoupling interpretation of efficient congruencing: the parabola

(2018, May 26).

Video: Dynamics of thin films down vertical fibers

71th Annual Meeting of the APS Division of Fluid Dynamics - Gallery of Fluid Motion.

Numerical methods for thermally stressed shallow shell equations

Journal of Computational and Applied Mathematics.

Instability and dynamics of volatile thin films

Physical Review Fluids, 3(2).

A vicinal surface model for epitaxial growth with logarithmic free energy

Discrete and Continuous Dynamical Systems - Series B, 23(10), 4433–4453.

A nodal finite element approximation of a phase field model for shape and topology optimization

Applied Mathematics and Computation, 339, 675–684.

VIRTUALIZATION MAP FOR THE LITTELMANN PATH MODEL

Transformation Groups, 23(4), 1045–1061.

Backward SDEs for control with partial information

Mathematical Finance, 29(1), 208–248.

Extreme-Strike Comparisons and Structural Bounds for SPX and VIX Options

SIAM Journal on Financial Mathematics, 9(2), 401–434.