Annals of Mathematical Sciences and Applications

Volume 3 (2018)

Number 2

Contents

Optimization, wavelet, financial mathematics and mathematical problems related to statistics

Algorithm for overcoming the curse of dimensionality for certain non-convex Hamilton–Jacobi equations, projections and differential games

Yat Tin Chow, Jérôme Darbon, Stanley Osher, and Wotao Yin

pp. 369-403

A unified Monte-Carlo jackknife for small area estimation after model selection

Jiming Jiang, P. Lahiri, and Thuan Nguyen

pp. 405-438

Fluid dynamics, numerical linear algebra, imaging, computations related to fluid dynamics, condensed matter physics, etc.

PEXSI-$\Sigma$: a Green’s function embedding method for Kohn–Sham density functional theory

Xiantao Li, Lin Lin, and Jianfeng Lu

pp. 441-472

The Marr conjecture and uniqueness of wavelet transforms

Benjamin Allen and Mark A. Kon

pp. 473-528

Mathematical sciences related to theoretical physics, engineering, biology and economics

The gap of Fredkin quantum spin chain is polynomially small

Ramis Movassagh

pp. 531-562

Supplements

Supplement to “A Unified Monte-Carlo Jackknife for Small Area Estimation after Model Selection”