· Hetmaniuk, Ulrich; Liu, Hongyu; Uhlmann, Gunther

On Three Dimensional Active Acoustic Cloaking Devices and Their Simulations

Submitted, 2009, preprint version

· Liu, Hongyu, Zhang, Hai and Zou, Jun

Recovery of Polyhedral Scatterers by A Single Electromagnetic Far-field Measurement,

J. Math. Phys., to appear, 2009 Preprint version

· Liu, Hongyu

Virtual Reshaping and Invisibility in Obstacle Scattering,

Inverse Problems, 25 (2009), 045006. Preprint version: http://arxiv.org/abs/0811.1308

· Li, Jingzhi; Liu, Hongyu and Zou, Jun

Strengthened Linear Sampling Method with A Reference Ball,

SIAM J. Sci. Comput.,31 (2009), no. 6, 4013—4040. Preprint version

· Liu, Hongyu

Recovery of Inhomogeneities and Buried Obstacles,

Submitted, 2008, Preprint available at: http://arxiv.org/abs/0804.0938

· Ding, Xiaohua; Liu, Hongyu; Shang, Zaijiu; Sun, Geng; Wang, Lingshu

Preservation of Stability Properties Near Fixed Points of Linear Hamiltonian Systems by Symplectic Integrators,

Submitted, 2008. Preprint available at: http://arxiv.org/abs/0802.2121

· Liu, Hongyu

On Recovering Polyhedral Scatterers with Acoustic Far-field Measurements,

IMA J. Appl. Math., 74, No. 2, 2009. Preprint version

· Liu, Hongyu

A Global Uniqueness for Formally Determined Inverse Electromagnetic Obstacle Scattering,

Inverse Problems, 24 , No. 3, 2008. (Editorial Highlights of IP 2008)

Preprint version: http://arxiv.org/abs/0801.2623

· Liu, Hongyu; Yamamoto, Masahiro and Zou, Jun

New Reflection Principles for Maxwell Equations and Their Applications,

Numer. Math: TMA, 2(2009), 1—17.

· Li, Jingzhi; Liu, Hongyu and Zou, Jun

Multilevel Linear Sampling Method for Inverse Scattering Problems,

SIAM. J. Sci. Comput., 30 (2008), 1228—1250.

· Liu, Hongyu; Yamamoto, Masahiro and Zou, Jun

Reflection Principle for Maxwell Equations and Its Application to Inverse Electromagnetic Scattering,

Inverse Problems, 23(2007), 2357—2366. (Editorial Highlights of IP 2007)

· Liu, Hongyu and Zou, Jun

Uniqueness in Determining Multiple Polygonal Scatterers of Mixed Type,

Discrete and Continuous Dynamical Syst. Ser. B, 9(2008), no. 2, 375—396

· Liu, Hongyu and Zou, Jun

Zeros of Bessel and Spherical Bessel Functions and Their Applications for Uniqueness in Inverse Acoustic Obstacle Scattering,

IMA J. Appl. Math., 72(2007), 817—831. (Top 5 downloaded of 2008)

· Hong, Jialin; Jiang, Shanshan; Li, Chun and Hongyu Liu

Explicit Multi-symplectic Methods for Hamiltonian Wave Equations,

Commun. Comput. Phys., 2(2007), no. 4, 662—683

· Liu, Hongyu and Zou, Jun

On Unique Determination of Partially Coated Polyhedral Scatterers With Far Field Measurements, 

Inverse Problems, 23(2007), 297--308

· Liu, Hongyu and Zou, Jun

Uniqueness in an Inverse Acoustic Obstacle Scattering  Problem for both Sound-hard and Sound-soft  Polyhedral Scatterers,

Inverse Problems, 22(2006) 515--524. (Featured Paper of IP)

· Liu, Hongyu and Zou, Jun

Some New Additive Runge-Kutta Methods and Their Applications,

J. Comput. Appl. Math., 190 (2006), 74—98

· Hong, Jialin; Liu, Hongyu and Sun, Geng

The Multi-symplecticity of Partitioned Runge-Kutta Methods for Hamiltonian PDEs, 

Math. Comp., 75 (2006) No. 253, 167—181

· Liu, Hongyu and Zhang, Kai

Multi-symplectic Runge-Kutta-ype Methods for Hamiltonian Wave Equations,

IMA J. Numer. Anal.,  26(2006) 252--271

· Chan, R. P. K.; Liu, Hongyu and Sun, Geng

Efficient Symplectic Runge-Kutta Methods,

Appl. Math. Comput.,  172 (2006), 908—924

· Hong, Jialin; Liu, Hongyu and Sun, Geng

Spurious Behaviors of A Symplectic Integrator,

Comput. Math. Appl., 50 (2005), no. 3-4, 519--528

· Liu, Hongyu and Sun, Geng

Implicit Runge-Kutta Methods based on Lobatto Quadrature Formula,

Inter. J. Comput. Math., Vol. 82,  No.1,(2005), 77--88

· Liu, Hongyu and Sun, Geng

Symplectic RK Methods and Symplectic PRK Methods With Real Eigenvalues,   

J. Comput. Math.,  22 (2004), no. 5, 769—776

· Liu, Hongyu; Liu, Xinbo and Wang, Tingfu,

  MBSP and CBSP of Orlicz Functional Space, 

Acta Anal. Funct. Appl.,  3 (2001),  no. 3, 236—242

Conference Proceedings

1. Liu, Hongyu and Zou, Jun

On Uniqueness in Inverse Acoustic and Electromagnetic Obstacle Scattering Problems,

Journal of Physics: Conference Series, 124 (2008), 012006. PDF

2. Liu, Hongyu and Zou, Jun

On Uniqueness in Inverse Obstacle Scatterings,

The 2nd International Conference on Scientific Computing and Partial Differential Equations & The First East Asia SIAM Symposium, December 2006, Hong Kong PDF

3. Liu, Hongyu and Zou, Jun

Inverse Obstacle Scattering: Some Theory and Numerics,

Extended Abstract for Oberwolfach Conference, Oberwolfach Reports, Vol 4, Issue 1, 2007, 331—333.

Book Chapter

1. Li,Jingzhi, Liu, Hongyu and Zou, Jun

An Efficient Multilevel Algorithm for Inverse Scattering Problem

Advances in Computation and Intelligence, Lecture Notes in Computer Science, Springer-Berlin, 2007.