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Now showing items 1-10 of 42

#### Validity and Regularization of Classical Half-Space Equations

(Journal of Statistical Physics, 2017-01-01)

© 2016, Springer Science+Business Media New York.Recent result (Wu and Guo in Commun
Math Phys 336(3):1473–1553, 2015) has shown that over the 2D unit disk, the classical
half-space equation (CHS) for the neutron transport ...

#### A convergent method for linear half-space kinetic equations

(2017-04-23)

We give a unified proof for the well-posedness of a class of linear half-space equations
with general incoming data and construct a Galerkin method to numerically resolve
this type of equations in a systematic way. Our main ...

#### Frozen Gaussian approximation with surface hopping for mixed quantum-classical dynamics: A mathematical justification of fewest switches surface hopping algorithms

(2017-04-23)

We develop a surface hopping algorithm based on frozen Gaussian approximation for
semiclassical matrix Schr\"odinger equations, in the spirit of Tully's fewest switches
surface hopping method. The algorithm is asymptotically ...

#### Detecting localized eigenstates of linear operators

(2017-11-30)

We describe a way of detecting the location of localized eigenvectors of a linear
system $Ax = \lambda x$ for eigenvalues $\lambda$ with $|\lambda|$ comparatively large.
We define the family of functions $f_{\alpha}: \left\{1.2. ...

#### Asymmetry in crystal facet dynamics of homoepitaxy by a continuum model

(2017-04-23)

In the absence of external material deposition, crystal surfaces usually relax to
become flat by decreasing their free energy. We study an asymmetry in the relaxation
of macroscopic plateaus, facets, of a periodic surface ...

#### Weak solution of a continuum model for vicinal surface in the attachment-detachment-limited regime

(2017-04-23)

We study in this work a continuum model derived from 1D attachment-detachment-limited
(ADL) type step flow on vicinal surface, $ u_t=-u^2(u^3)_{hhhh}$, where $u$, considered
as a function of step height $h$, is the step ...

#### Half-space kinetic equations with general boundary conditions

(Mathematics of Computation, 2017-01-01)

© 2016 American Mathematical Society.We study half-space linear kinetic equations
with general boundary conditions that consist of both given incoming data and various
types of reflections, extending our previous work on ...

#### A quasinonlocal coupling method for nonlocal and local diffusion models

(2017-04-23)

In this paper, we extend the idea of "geometric reconstruction" to couple a nonlocal
diffusion model directly with the classical local diffusion in one dimensional space.
This new coupling framework removes interfacial ...

#### An asymptotic preserving method for transport equations with oscillatory scattering coefficients

(2017-04-26)

We design a numerical scheme for transport equations with oscillatory periodic scattering
coefficients. The scheme is asymptotic preserving in the diffusion limit as Knudsen
number goes to zero. It also captures ...