21 citations · 30 across the 8 of their papers we have counts for
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math.NA2012★ 1 cited
Local discontinuous Galerkin methods for one-dimensional second order fully nonlinear elliptic and parabolic equations
Xiaobing Feng, Thomas Lewis
This paper is concerned with developing accurate and efficient discontinuous Galerkin methods for fully nonlinear second order elliptic and parabolic partial differential equations…
math.NA2012★ 1 cited
Mixed Interior Penalty Discontinuous Galerkin Methods for One-dimensional Fully Nonlinear Second Order Elliptic and Parabolic Equations
Xiaobing Feng, Thomas Lewis
This paper is concerned with developing accurate and efficient numerical methods for one-dimensional fully nonlinear second order elliptic and parabolic partial differential equati…
math.NA2012★ 21 cited
Convergent finite difference methods for one-dimensional fully nonlinear second order partial differential equations
Xiaobing Feng, Chiu-Yen Kao, Thomas Lewis
This paper develops a new framework for designing and analyzing convergent finite difference methods for approximating both classical and viscosity solutions of second order fully…