Author: Jelena Popovic; Olof Runborg;

Title: Analysis of a fast method for solving the high frequency Helmholtz equation in one dimension

Journal: BIT NUMERICAL MATHEMATICS

Volume: 51

Page: 721 - 755

Year: 2011


Author: Hailiang Liu; Zhongming Wang; Rodney O. Fox;

Title: A level set approach for dilute non-collisional fluid-particle flows

Journal: JOURNAL OF COMPUTATIONAL PHYSICS

Volume: 230

Page: 920 - 936

Year: 2011


Author: Hailiang Liu; James Ralston;

Title: RECOVERY OF HIGH FREQUENCY WAVE FIELDS FROM PHASE SPACE-BASED MEASUREMENTS

Journal: MULTISCALE MODELING & SIMULATION

Volume: 8

Page: 622 - 644

Year: 2010


Author: John D. Towers;

Title: Discretizing delta functions via finite differences and gradient normalization

Journal: JOURNAL OF COMPUTATIONAL PHYSICS

Volume: 228

Page: 3816 - 3836

Year: 2009


Author: Hailiang Liu; Zhongming Wang;

Title: A Bloch band based level set method for computing the semiclassical limit of Schrodinger equations

Journal: JOURNAL OF COMPUTATIONAL PHYSICS

Volume: 228

Page: 3326 - 3344

Year: 2009


Author: Shingyu Leung; Jianhang Qian;

Title: Eulerian Gaussian beams for Schrodinger equations in the semi-classical regime

Journal: JOURNAL OF COMPUTATIONAL PHYSICS

Volume: 228

Page: 2951 - 2977

Year: 2009


Author: Alina Chertock; Alexander Kurganov;

Title: Computing Multivalued Solutions of Pressureless Gas Dynamics by Deterministic Particle Methods

Journal: COMMUNICATIONS IN COMPUTATIONAL PHYSICS

Volume: 5

Page: 565 - 581

Year: 2009


Author: Sun Woo Hong; Jae Wook Yoo; Hye Suk Kang; Soyoun Kim; Dong-ki Lee;

Title: HIF-1 alpha-dependent gene expression program during the nucleic acid-triggered antiviral innate immune responses

Journal: MOLECULES AND CELLS

Volume: 27

Page: 243 - 250

Year: 2009


Author: John D. Towers;

Title: A convergence rate theorem for finite difference approximations to delta functions

Journal: JOURNAL OF COMPUTATIONAL PHYSICS

Volume: 227

Page: 6591 - 6597

Year: 2008


Author: Hailiang Liu; Zhongming Wang;

Title: Superposition of multi-valued solutions in high frequency wave dynamics

Journal: JOURNAL OF SCIENTIFIC COMPUTING

Volume: 35

Page: 192 - 218

Year: 2008


Author: R. O. Fox;

Title: A quadrature-based third-order moment method for dilute gas-particle flows

Journal: JOURNAL OF COMPUTATIONAL PHYSICS

Volume: 227

Page: 6313 - 6350

Year: 2008


Author: Hai-liang Liu;

Title: On discreteness of the Hopf equation

Journal: ACTA MATHEMATICAE APPLICATAE SINICA-ENGLISH SERIES

Volume: 24

Page: 423 - 440

Year: 2008


Author: Olfo Runborg;

Title: Mathematical models and numerical methods for high frequency waves

Journal: COMMUNICATIONS IN COMPUTATIONAL PHYSICS

Volume: 2

Page: 827 - 880

Year: 2007


Author: Mohammad Motamed; Olof Runborg;

Title: A multiple-patch phase space method for computing trajectories on manifolds with applications to wave propagation problems

Journal: COMMUNICATIONS IN MATHEMATICAL SCIENCES

Volume: 5

Page: 617 - 648

Year: 2007


Author: Hailiang Liu; Zhongming Wang;

Title: A field-space-based level set method for computing multi-valued solutions to 1D Euler-Poisson equations

Journal: JOURNAL OF COMPUTATIONAL PHYSICS

Volume: 225

Page: 591 - 614

Year: 2007