Annals of Mathematical Sciences and Applications

Volume 1 (2016)

Number 1

Contents

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

Euclidean signature semi-classical methods for bosonic field theories: interacting scalar fields

Antonella Marini, Rachel Maitra, and Vincent Moncrief

pp. 3-55

Coordinate-friendly structures, algorithms and applications

Zhimin Peng, Tianyu Wu, Yangyang Xu, Ming Yan, and Wotao Yin

pp. 57-119

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

The Chern–Simons number as a dynamical variable

S.-H. Henry Tye and Sam S. C. Wong

pp. 123-147

Large eddy simulation, turbulent transport and the renormalization group

James Glimm, Bradley J. Plohr, Hyunkyung Lim, Wenlin Hu, and David H. Sharp

pp. 149-180

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

Observational cosmology with semi-relativistic stars

Abraham Loeb and James Guillochon

pp. 183-194

A modified Pearson’s $\chi^2$ test with application to generalized linear mixed model diagnostics

Cecilia Dao and Jiming Jiang

pp. 195-215

The Poisson–Boltzmann equation and the charge separation phenomenon at the silica-water interface: A holistic approach

Maijia Liao, Li Wan, Shixin Xu, Chun Liu, and Ping Sheng

pp. 217-249