Search Results

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

  Dianming Hou, Mejdi Azaïez, Chuanju Xu

  2019-08-27

  53989 3634 Pages:1415-1443

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

  M. Azaïez, T. Chacón Rebollo, E. Perracchione & J. M. Vega

  2018-09-17

  44381 4664 Pages: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

  46170 4782 Pages: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

  38726 4182 Pages:49-71

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

  Jie Shen & Jie Xu

  2018-09-17

  48019 4743 Pages: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

  45902 3140 Pages: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

  42522 3761 Pages: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

  46602 3271 Pages: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

  195 57 Pages: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

  40312 4613 Pages: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

  40606 3939 Pages:1287-1303

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

  Adérito Araújo, Amal K. Das, Cidália Neves & Ercília Sousa

  2018-03-27

  39453 4759 Pages:502-525

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

  Irina Ginzburg

  2012-11-01

  39120 4295 Pages: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

  28856 2454 Pages:181-211

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

  Xi Liu, Zhenhua Chai, Baochang Shi

  2021-10-26

  48129 3342 Pages: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

  54997 3468 Pages:698-728

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

  Yahui Wang, Ming Xie & Yu Ma

  2019-01-10

  46446 3841 Pages: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

  50564 3535 Pages: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

  47236 5427 Pages: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

  38945 4233 Pages:185-202

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

  Cheng Wang, Qiwei Sheng & Weimin Han

  2020-07-30

  42090 3462 Pages:1443-1465

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

  Tobias Gebäck & Alexei Heintz

  2018-03-27

  40653 4097 Pages: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

  47019 4808 Pages:589-618 Open-access

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

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

  2020-07-31

  50008 3097 Pages: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

  44838 3284 Pages:1021-1048

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

  Wakana Iwakami, Yuzuru Yatagai, Nozomu Hatakeyama & Yuji Hattori

  2014-11-08

  41593 3891 Pages:1181-1200

• An Energy Regularization Method for the Backward Diffusion Problem and Its Applications to Image Deblurring

  Houde Han, Ming Yan & Chunlin Wu

  2008-04-01

  38956 4176 Pages:177-194