An Optimal Partition Problem for Eigenvalues L. A. CafferelliFang Hua Lin OriginalPaper 28 November 2006 Pages: 5 - 18
A Supra-Convergent Finite Difference Scheme for the Poisson and Heat Equations on Irregular Domains and Non-Graded Adaptive Cartesian Grids Han ChenChohong MinFrédéric Gibou OriginalPaper 31 March 2007 Pages: 19 - 60
A Note on Discontinuous Galerkin Divergence-free Solutions of the Navier–Stokes Equations Bernardo CockburnGuido KanschatDominik Schötzau OriginalPaper 10 September 2006 Pages: 61 - 73
Level Set Calculations for Incompressible Two-Phase Flows on a Dynamically Adaptive Grid Yana DiRuo LiPingwen Zhang In memory of Professor Xu-Dong Liu 07 December 2006 Pages: 75 - 98
On Boundary Condition Capturing for Multiphase Interfaces Jeong-Mo HongTamar ShinarRonald Fedkiw OriginalPaper 26 January 2007 Pages: 99 - 125
Solutions of Multi-dimensional Hyperbolic Systems of Conservation Laws by Square Entropy Condition Satisfying Discontinuous Galerkin Method Songming HouXu-Dong Liu OriginalPaper 10 September 2006 Pages: 127 - 151
Level Set Based Simulations of Two-Phase Oil–Water Flows in Pipes Myungjoo KangHyeseon ShimStanley Osher OriginalPaper 17 October 2006 Pages: 153 - 184
Computational Fluid Dynamics Peter D. Lax Special Issue in Memory of Prof. Xu-Dong Liu 25 October 2006 Pages: 185 - 193
Convex ENO Schemes for Hamilton–Jacobi Equations Chi-Tien LinXu-Dong Liu OriginalPaper 27 January 2007 Pages: 195 - 211
A Conservative Front Tracking Method in N-Dimensions Jinjie LiuHyun-Kyung LimXiaolin Li OriginalPaper 16 February 2007 Pages: 213 - 236
A Fast Sweeping Method for Static Convex Hamilton–Jacobi Equations Jianliang QianYong-Tao ZhangHong-Kai Zhao OriginalPaper 09 March 2007 Pages: 237 - 271
A New Smoothness Indicator for the WENO Schemes and Its Effect on the Convergence to Steady State Solutions Shuhai ZhangChi-Wang Shu OriginalPaper 26 September 2006 Pages: 273 - 305