Annals of Mathematical Sciences and Applications

Volume 2 (2017)

Number 2

Guest Editors: Tai-Chia Lin (National Taiwan University), Wen-Wei Lin (National Chiao Tung University), Tony Wen-Hann Sheu (National Taiwan University), Weichung Wang (National Taiwan University), Chih-wen Weng (National Chiao Tung University), and Salil Vadhan (Harvard University).

Contents

Preface

pp. 213-213

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

Numerical study of the stability of the Peregrine solution

Christian Klein and Mariana Haragus

pp. 217-239

Spectral characterizations of two families of nearly complete bipartite graphs

Chia-An Liu and Chih-Wen Weng

pp. 241-254

Stability of the fourth order Runge–Kutta method for time-dependent partial differential equations

Zheng Sun and Chi-Wang Shu

pp. 255-284

The Degasperis–Procesi equation, its short wave model and the CKP hierarchy

Bao-Feng Feng, Ken-Ichi Maruno, and Yasuhiro Ohta

pp. 285-316

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

Weighted essentially non-oscillatory schemes for Degasperis–Procesi equation with discontinuous solutions

Yinhua Xia and Yan Xu

pp. 319-340

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

Planar unimodular Baker-Akhiezer function for the nonlinear Schrödinger equation

Vladimir Kotlyarov and Dmitry Shepelsky

pp. 343-384

The integrally representable trees of norm $3$

Jack H. Koolen, Masood Ur Rehman, and Qianqian Yang

pp. 385-408

Reverse space and time nonlocal coupled dispersionless equation and its solutions

Jialiang Ji, Zhelin Huang, and Zuonong Zhu

pp. 409-429