Dr. Ruming Zhang

Research Areas

• Partial differential equations
• Numerical methods
• Inverse problems
• Scattering theory

Publications (Selection)complete list

1. B. Zhang, R. Zhang.
   A New Integral Equation Formulation for Scattering by Penetrable Diffraction Gratings.
   Journal of Computational Mathematics, 36(1):110-127, 2018.

   online at: http://www.global-sci.org/jcm/galley/JCM2016-0501.pdf

2. B. Zhang, R. Zhang.
   An FFT-based algorithm for efficient computation of Green's functions for the Helmholtz and Maxwell's equations in periodic domains.
   SIAM Journal on Scientific Computing, 40(3):B915-B941, SIAM, 2018.

   DOI: 10.1137/18M1165621
   online at: https://epubs.siam.org/doi/abs/10.1137/18M1165621

3. R. Zhang.
   Numerical Methods for Quasi-Periodic Incident Fields Scattered by Locally Perturbed Periodic Surfaces.
   Zur Veröffentlichung eingereicht.

   online at: arXiv:1801.01761

4. R. Zhang.
   A Bloch transform based numerical method for the rough surface scattering problems.
   Zur Veröffentlichung eingereicht.

   online at: https://arxiv.org/abs/1805.11484

5. R. Zhang.
   A High Order Numerical Method for Scattering from Locally Perturbed Periodic Surfaces.
   SIAM Journal on Scientific Computing, 40(4):A2286-A2314, SIAM, 2018.

   DOI: 10.1137/17M1144945
   online at: https://epubs.siam.org/doi/pdf/10.1137/17M1144945