Search Results

• 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

• Recursive POD Expansion for the Advection-Diffusion-Reaction Equation

  M. Azaiez, T. Chacon Rebollo, E. Perracchione, J. M. Vega

  2018-09-17

  DOI:10.4208/cicp.OA-2017-0257

  44603 4776 pp. 1556-1578 Open Access

• Existence and Uniqueness of the Weak Solution of the Space-Time Fractional Diffusion Equation and a Spectral Method Approximation

  Xianjuan Li, Chuanju Xu

  2010-08-01

  DOI:10.4208/cicp.020709.221209a

  46457 4876 pp. 1016-1051

• Fast Numerical Simulation of Two-Phase Transport Model in the Cathode of a Polymer Electrolyte Fuel Cell

  Pengtao Sun, Guangri Xue, Chaoyang Wang, Jinchao Xu

  2009-06-01

  38879 4281 pp. 49-71

• Stabilized Predictor-Corrector Schemes for Gradient Flows with Strong Anisotropic Free Energy

  Jie Shen, Jie Xu

  2018-09-17

  DOI:10.4208/cicp.OA-2017-0209

  48242 4846 pp. 635-654 Open Access

• Numerical Solution of a Degenerate, Diffusion Reaction Based Biofilm Growth Model on Structured Non-Orthogonal Grids

  Md. Afsar Ali, Hermann J. Eberl, Rangarajan Sudarsan

  2018-09-17

  DOI:10.4208/cicp.OA-2017-0165

  46102 3199 pp. 695-741

• Reliability Investigation of BiCGStab and IDR Solvers for the Advection-Diffusion-Reaction Equation

  Chris Schoutrop, Jan ten Thije Boonkkamp, Jan van Dijk

  2022-07-06

  DOI:10.4208/cicp.OA-2021-0182

  42800 3915 pp. 156-188

• Nonstandard Fourier Pseudospectral Time Domain (PSTD) Schemes for Partial Differential Equations

  Bradley E. Treeby, Elliott S. Wise, B. T. Cox

  2018-09-17

  DOI:10.4208/cicp.OA-2017-0192

  46850 3342 pp. 623-634

• High Order Multiscale Methods for Advection-Diffusion Equation in Highly Oscillatory Regimes: Application to Surfactant Diffusion and Generalization to Arbitrary Domains

  Clarissa Astuto

  2025-05-29

  DOI:10.4208/cicp.OA-2024-0114

  9027 505 pp. 1327-1357

• A Numerical Methodology for Enforcing Maximum Principles and the Non-Negative Constraint for Transient Diffusion Equations

  K. B. Nakshatrala, H. Nagarajan, M. Shabouei

  2018-04-03

  DOI:10.4208/cicp.180615.280815a

  40479 4767 pp. 53-93

• Weighted Interior Penalty Method with Semi-Implicit Integration Factor Method for Non-Equilibrium Radiation Diffusion Equation

  Rongpei Zhang, Xijun Yu, Jiang Zhu, Abimael F. D. Loula, Xia Cui

  2013-11-05

  DOI:10.4208/cicp.190612.010313a

  40771 3998 pp. 1287-1303

• Numerical Solution for a Non-Fickian Diffusion in a Periodic Potential

  Aderito Araujo, Amal K. Das, Cidalia Neves, Ercilia Sousa

  2018-03-27

  DOI:10.4208/cicp.280711.010312a

  39599 4806 pp. 502-525

• Derivation of Asymptotic Limiting Equations for Multigroup Anisotropic-Scattering Transport Processes in Optically Thick Regimes

  Weiming Li, Chang Liu, Peng Song

  2026-01-03

  DOI:10.4208/cicp.OA-2024-0181

  1926 98 pp. 919-940

• Truncation Errors, Exact and Heuristic Stability Analysis of Two-Relaxation-Times Lattice Boltzmann Schemes for Anisotropic Advection-Diffusion Equation

  Irina Ginzburg

  2012-11-01

  DOI:10.4208/cicp.211210.280611a

  39356 4425 pp. 1439-1502

• A Unified Gas-Kinetic Particle Method for Frequency-Dependent Radiative Transfer Equations with Isotropic Scattering Process on Unstructured Mesh

  Yuan Hu, Chang Liu, Huayun Shen, Shiyang Zou, Baolin Tian

  2024-01-31

  DOI:10.4208/cicp.OA-2023-0161

  29102 2639 pp. 181-211

• Phase-Field-Based Axisymmetric Lattice Boltzmann Method for Two-Phase Electro-Hydrodynamic Flows

  Xi Liu, Zhenhua Chai, Baochang Shi

  2021-10-26

  DOI:10.4208/cicp.OA-2021-0025

  48408 3429 pp. 1346-1369

• DL-PDE: Deep-Learning Based Data-Driven Discovery of Partial Differential Equations from Discrete and Noisy Data

  Hao Xu, Haibin Chang, Dongxiao Zhang

  2021-01-13

  DOI:10.4208/cicp.OA-2020-0142

  55435 3561 pp. 698-728

• Neutron Discrete Velocity Boltzmann Equation and Its Finite Volume Lattice Boltzmann Scheme

  Yahui Wang, Ming Xie, Yu Ma

  2019-01-10

  DOI:10.4208/cicp.OA-2017-0203

  46646 3909 pp. 1446-1468

• An Energy Stable BDF2 Fourier Pseudo-Spectral Numerical Scheme for the Square Phase Field Crystal Equation

  Kelong Cheng, Cheng Wang, Steven M. Wise

  2019-08-27

  DOI:10.4208/cicp.2019.js60.10

  50877 3663 pp. 1335-1364

• A Novel Method for Solving Time-Dependent 2D Advection-Diffusion-Reaction Equations to Model Transfer in Nonlinear Anisotropic Media

  Ji Lin, Sergiy Reutskiy, C. S. Chen, Jun Lu

  2019-02-25

  DOI:10.4208/cicp.OA-2018-0005

  47446 5581 pp. 233-264

• A Bilinear Immersed Finite Volume Element Method for the Diffusion Equation with Discontinuous Coefficient

  X. -M. He, T. Lin, Y. Lin

  2009-06-01

  39087 4335 pp. 185-202

• A Discrete-Ordinate Discontinuous-Streamline Diffusion Method for the Radiative Transfer Equation

  Cheng Wang, Qiwei Sheng, Weimin Han

  2020-07-30

  DOI:10.4208/cicp.310715.290316a

  42248 3533 pp. 1443-1465

• A Lattice Boltzmann Method for the Advection-Diffusion Equation with Neumann Boundary Conditions

  Tobias Geback, Alexei Heintz

  2018-03-27

  DOI:10.4208/cicp.161112.230713a

  40825 4160 pp. 487-505

• Lévy Backward SDE Filter for Jump Diffusion Processes and Its Applications in Material Sciences

  Feng Bao, Richard Archibald, Peter Maksymovych

  2019-12-07

  DOI:10.4208/cicp.OA-2018-0238

  47279 4983 pp. 589-618 Open Access

• Curious Convergence Properties of Lattice Boltzmann Schemes for Diffusion with Acoustic Scaling

  Bruce M. Boghosian, Francois Dubois, Benjamin Graille, Pierre Lallemand, Mohamed-Mahdi Tekitek

  2020-07-31

  DOI:10.4208/cicp.OA-2016-0257

  50238 3150 pp. 1263-1278

• A Uniformly Convergent Scheme for Radiative Transfer Equation in the Diffusion Limit Up to the Boundary and Interface Layers

  Hongfei Chen, Gaoyu Chen, Xiang Hong, Hao Gao, Min Tang

  2020-07-31

  DOI:10.4208/cicp.2018.hh80.06

  45052 3329 pp. 1021-1048

• A New Approach for Error Reduction in the Volume Penalization Method

  Wakana Iwakami, Yuzuru Yatagai, Nozomu Hatakeyama, Yuji Hattori

  2014-11-08

  DOI:10.4208/cicp.220513.070514a

  41738 3946 pp. 1181-1200