21 citations · 47 across the 7 of their papers we have counts for
5 papers · 1 filter
Numerical solution of degenerate stochastic Kawarada equations via a semi-discretized approach
Joshua L Padgett, Qin Sheng
The numerical solution of a highly nonlinear two-dimensional degenerate stochastic Kawarada equation is investigated. A semi-discretized approximation in space is comprised on arbi…
Convergence of an operator splitting scheme for abstract stochastic evolution equations
Joshua L Padgett, Qin Sheng
In this paper we study the convergence of a Lie-Trotter operator splitting for stochastic semi-linear evolution equations in a Hilbert space. The abstract Hilbert space setting all…
On a Nonuniform Crank-Nicolson Scheme for Solving the Stochastic Kawarada Equation via Arbitrary Grids
Joshua L Padgett, Qin Sheng
This paper studies a nonuniform finite difference method for solving the degenerate Kawarada quenching-combustion equation with a vibrant stochastic source. Arbitrary grids are int…
On the positivity, monotonicity, and stability of a semi-adaptive LOD method for solving three-dimensional degenerate Kawarada equations
Joshua L. Padgett, Qin Sheng
This paper concerns the numerical solution of three-dimensional degenerate Kawarada equations. These partial differential equations possess highly nonlinear source terms, and exhib…
An Effective -Stretching Adaptive Finite Difference Method for Paraxial Light Beam Propagation Simulations
Leonel Gonzalez, Shekhar Guha, James W. Rogers +1
A new -stretching finite difference method is established for simulating the paraxial light beam propagation through a lens in a cylindrically symmetric domain. By introducing p…