Search Results

• A Weak Galerkin Finite Element Method Coupled with Mortar Spectral Element Method for Schrödinger Eigenvalue Problem with an Inverse Square Potential

  Shusheng Li, Lueling Jia, Qilong Zhai, Zhimin Zhang

  2026-04-10

  DOI:10.4208/cicp.OA-2024-0232

  185 56 pp. 263-296

• On Integral Equation and Least Squares Methods for Scattering by Diffraction Gratings

  Tilo Arens, Simon N. Chandler-Wilde, John A. DeSanto

  2020-07-31

  38928 3882 pp. 1010-1042

• Müntz Spectral Method for Two-Dimensional Space-Fractional Convection-Diffusion Equation

  Dianming Hou, Mejdi Azaïez, Chuanju Xu

  2019-08-27

  DOI:10.4208/cicp.2019.js60.04

  54236 3709 pp. 1415-1443

• Unfitted Spectral Element Method for Interfacial Models

  Nicolas Gonzalez, Hailong Guo, Xu Yang

  2025-09-05

  DOI:10.4208/cicp.OA-2024-0056

  3693 376 pp. 987-1016

• A Hybrid Method for Computing the Schrödinger Equations with Periodic Potential with Band-Crossings in the Momentum Space

  Lihui Chai, Shi Jin, Peter A. Markowich

  2020-07-31

  DOI:10.4208/cicp.2018.hh80.01

  44268 3237 pp. 989-1020

• A Preconditioned Conjugated Gradient Method for Computing Ground States of Rotating Dipolar Bose-Einstein Condensates via Kernel Truncation Method for Dipole-Dipole Interaction Evaluation

  Xavier Antoine, Qinglin Tang, Yong Zhang

  2020-07-31

  DOI:10.4208/cicp.2018.hh80.11

  45448 3280 pp. 966-988

• High-Order Cell-Centered Lagrangian Spectral Volume Method on Curvilinear Meshes

  Lintao Huang, Wenhua Ma, Shuaikang Wang, Yibing Chen

  2025-09-05

  DOI:10.4208/cicp.OA-2025-0067

  3887 410 pp. 1089-1129

• Mixed Spectral Element Method for 2D Maxwell's Eigenvalue Problem

  Na Liu, Luis Tobón, Yifa Tang, Qing Huo Liu

  2020-07-30

  DOI:10.4208/cicp.230113.140814a

  41834 3166 pp. 458-486

• An Efficient Spectral Method for the Inextensible Immersed Interface in Incompressible Flows

  Xiaoling Liu, Fangying Song, Chuanju Xu

  2018-12-08

  DOI:10.4208/cicp.OA-2017-0210

  49222 3554 pp. 1071-1096

• Navier-Stokes Spectral Solver in a Finite Cylinder

  F. Auteri, M. Biava, L. Quartapelle

  2010-08-01

  DOI:10.4208/cicp.190809.141209a

  40534 4331 pp. 663-689

• A Memory-Saving Algorithm for Spectral Method of Three-Dimensional Homogeneous Isotropic Turbulence

  Qing-Dong Cai, Shiyi Chen

  2020-07-21

  DOI:10.4208/cicp.191209.111110s

  39855 3981 pp. 1152-1164

• Direct Vlasov Solvers with High-Order Spectral Element Method

  Jin Xu, Brahim Mustapha, Peter Ostroumov, Jerry Nolen

  2010-08-01

  DOI:10.4208/cicp.080409.051009a

  39619 4626 pp. 159-184

• A Time-Splitting Spectral Method for Three-Wave Interactions in Media with Competing Quadratic and Cubic Nonlinearities

  Weizhu Bao, Chunxiong Zheng

  2007-02-01

  38356 4521 pp. 123-140

• Numerical Issues in the Implementation of High Order Polynomial Multi-Domain Penalty Spectral Galerkin Methods for Hyperbolic Conservation Laws

  Sigal Gottlieb, Jae-Hun Jung

  2018-04-11

  41169 3627 pp. 600-619

• An Efficient Monte Carlo-Transformed Field Expansion Method for Electromagnetic Wave Scattering by Random Rough Surfaces

  Xiaobing Feng, Junshan Lin, David P. Nicholls

  2018-08-21

  DOI:10.4208/cicp.OA-2017-0041

  47393 3262 pp. 685-705

• A Weighted Multi-Domain Spectral Penalty Method with Inhomogeneous Grid for Supersonic Injective Cavity Flows

  Wai-Sun Don, David Gottlieb, Jae-Hun Jung

  2009-05-01

  38810 3880 pp. 986-1011

• Integral Equation Method for a Non-Selfadjoint Steklov Eigenvalue Problem

  Yunyun Ma, Jiguang Sun

  2022-05-06

  DOI:10.4208/cicp.OA-2022-0016

  45122 3296 pp. 1546-1560

• Semi-Implicit Spectral Deferred Correction Method Based on the Invariant Energy Quadratization Approach for Phase Field Problems

  Ruihan Guo, Yan Xu

  2019-02-25

  DOI:10.4208/cicp.OA-2018-0034

  50368 5375 pp. 87-113

• A Domain Decomposition Based Spectral Collocation Method for Lane-Emden Equations

  Yuling Guo, Jianguo Huang

  2018-04-09

  DOI:10.4208/cicp.OA-2016-0181

  41962 3269 pp. 542-571

• A Unstructured Nodal Spectral-Element Method for the Navier-Stokes Equations

  Lizhen Chen, Jie Shen, Chuanju Xu

  2012-12-01

  DOI:10.4208/cicp.070111.140711a

  41325 4499 pp. 315-336

• An Unconditionally Energy-Stable and Orthonormality-Preserving Scheme for the Kohn-Sham Gradient Flow Based Model Based on a Tetrahedral Spectral Element Method

  Hongfei Zhan, Ting Wang, Guanghui Hu

  2025-04-27

  DOI:10.4208/cicp.OA-2024-0053

  9430 588 pp. 921-941

• On the Monotonicity of $Q^2$ Spectral Element Method for Laplacian on Quasi-Uniform Rectangular Meshes

  Logan J. Cross, Xiangxiong Zhang

  2024-01-31

  DOI:10.4208/cicp.OA-2023-0206

  28531 2751 pp. 160-180

• High-Order Multidomain Spectral Difference Method for the Navier-Stokes Equations on Unstructured Hexahedral Grids

  Yuzhi Sun, Z. J. Wang, Yen Liu

  2018-03-24

  39878 3926 pp. 310-333

• A Penalty-Free or Penalty-Factor-Free DG Method with a Locally Reconstructed Curl Operator for the Maxwell Eigenproblem

  Zhijie Du, Huoyuan Duan, Duowei Zhu

  2025-08-23

  DOI:10.4208/cicp.OA-2024-0151

  6545 489 pp. 887-922

• On the Gauss Runge-Kutta and Method of Lines Transpose for Initial-Boundary Value Parabolic PDEs

  Bo Zhang, Dangxing Chen, Jingfang Huang

  2020-07-31

  DOI:10.4208/cicp.2018.hh80.09

  42831 3287 pp. 1221-1240

• An Efficient Spectral Petrov-Galerkin Method for Nonlinear Hamiltonian Systems

  Jing An, Waixiang Cao, Zhimin Zhang

  2019-08-27

  DOI:10.4208/cicp.2019.js60.11

  48986 3611 pp. 1249-1273

• Spectral Methods for Resolving Spike Dynamics in the Geirer-Meinhardt Model

  Michael McCourt, Nicholas Dovidio, Michael Gilbert

  2008-03-01

  41840 3894 pp. 659-678