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• An Unconditionally Stable Numerical Scheme for a Competition System Involving Diffusion Terms

  Seth Armstrong, Jianlong Han

  2020-02-03

  34486 2612 Pages:212-235

• Higher-Order Linearized Multistep Finite Difference Methods for Non-Fickian Delay Reaction-Diffusion Equations

  Qifeng Zhang, Ming Mei, Chengjian Zhang

  2016-01-08

  33116 4173 Pages:1-19

• An Optimal 9-Point Finite Difference Scheme for the Helmholtz Equation with PML

  Zhongying Chen, Dongsheng Cheng, Wei Feng, Tingting Wu

  2013-10-01

  33092 15966 Pages:389-410

• Sixth-Order Compact Differencing with Staggered Boundary Schemes and 3(2) Bogacki-Shampine Pairs for Pricing Free-Boundary Options

  Chinonso Nwankwo, Weizhong Dai

  2024-10-09

  14107 1160 Pages:793-821

• Even-Odd Cycled High-Order Splitting Finite Difference Time Domain Method for Maxwell's Equations

  Maninder Sarai, Dong Liang

  2021-02-04

  33217 3442 Pages:79-99

• Numerical Analysis of an Energy-Conservation Scheme for Two-Dimensional Hamiltonian Wave Equations with Neumann Boundary Conditions

  Changying Liu, Wei Shi, Xinyuan Wu

  2019-02-22

  35898 2766 Pages:319-339

• On a Numerical Technique to Study Difference Schemes for Singularly Perturbed Parabolic Reaction-Diffusion Equations

  G. Shishkin, L. Shishkina, J. L. Gracia, C. Clavero

  2021-10-20

  34528 2541 Pages:412-426

• An Almost Fourth Order Parameter-Robust Numerical Method for a Linear System of ($M\geq2$) Coupled Singularly Perturbed Reaction-Diffusion Problems

  S. C. S. Rao, M. Kumar

  2013-10-01

  230 96 Pages:603-621

• Stability and Superconvergence of a Special $Q_1$-Finite Volume Element Scheme over Quadrilateral Meshes

  Yanhui Zhou

  2025-04-29

  7115 552 Pages:556-584

• A Compact Finite Difference Scheme for the Fourth-Order Time Multi-Term Fractional Sub-Diffusion Equations with the First Dirichlet Boundary Conditions

  Guang-Hua Gao, Rui Tang, Qian Yang

  2021-02-04

  33736 3498 Pages:100-119

• Error Analysis of a Finite Difference Scheme for the Epitaxial Thin Film Model with Slope Selection with an Improved Convergence Constant

  Zhonghua Qiao, Cheng Wang, Steven M. Wise, Zhengru Zhang

  2016-05-08

  32240 2732 Pages:283-305

• Numerical Method for Three-Point Vector Difference Schemes on Infinite Interval

  A. I. Zadorin, A. V. Chekanov

  2008-05-01

  31882 2553 Pages:190-205

• A Uniformly Convergent Method on Arbitrary Meshes for a Semilinear Convection-Diffusion Problem with Discontinuous Data

  Igor Boglaev, Sophie Pack

  2008-05-01

  32611 3671 Pages:24-39

• Exact Difference Schemes for Parabolic Equations

  Magdalena Lapinska-Chrzczonowicz, Piotr Matus

  2008-05-01

  31539 2472 Pages:303-319

• The Arakawa Jacobian Method and a Fourth-Order Essentially Nonoscillatory Scheme for the Beta-Plane Barotropic Equations

  Abderrahim Kacimi, Tarik Aliziane, Boualem Khouider

  2013-10-01

  34080 2707 Pages:571-587

• A Sharp $\alpha$-Robust $L1$ Scheme on Graded Meshes for Two-Dimensional Time Tempered Fractional Fokker-Planck Equation

  Can Wang, Weihua Deng, Xiangong Tang

  2023-11-13

  23951 2259 Pages:739-771

• Grid Approximation of a Singularly Perturbed Parabolic Equation with Degenerating Convective Term and Discontinuous Right-Hand Side

  C. Clavero, J. L. Gracia, G. I. Shishkin, L. P. Shishkina

  2013-10-01

  33926 2719 Pages:795-814

• ADI Finite Difference Schemes for Option Pricing in the Heston Model with Correlation

  K. J. In't Hout, S. Foulon

  2010-07-01

  35277 2889 Pages:303-320

• A Systematic Method to Construct Mimetic Finite-Difference Schemes for Incompressible Flows

  Chiara Sorgentone, Bernardo Favini

  2017-06-01

  32211 2726 Pages:419-436

• On a Finite Difference Scheme for a Beeler-Reuter Based Model of Cardiac Electrical Activity

  Monica Hanslien, Kenneth H. Karlsen, Aslak Tveito

  2006-03-01

  29317 2570 Pages:395-412

• Pollution-Free Finite Difference Schemes for Non-Homogeneous Helmholtz Equation

  K. Wang, Y. S. Wong

  2014-11-01

  33882 2752 Pages:787-815

• A Positivity-Preserving and Convergent Numerical Scheme for the Binary Fluid-Surfactant System

  Yuzhe Qin, Cheng Wang, Zhengru Zhang

  2021-03-25

  38591 2624 Pages:399-425

• Convergence of a Finite Difference Scheme for 3D Flow of a Compressible Viscous Micropolar Heat-Conducting Fluid with Spherical Symmetry

  Nermina Mujakovic, Nelida Crnjaric-Zic

  2016-09-03

  33732 2819 Pages:705-738

• On the Convergence of Difference Scheme for Parabolic Problems with Concentrated Data

  B. S. Jovanović, L. G. Vulkov

  2008-05-01

  30714 3359 Pages:386-406

• Convergent Finite Difference Scheme for 1D Flow of Compressible Micropolar Fluid

  Nermina Mujaković, Nelida Črnjarić-Žic

  2015-12-01

  34305 4082 Pages:94-124

• A Time Second-Order Characteristic Finite Element Method for Nonlinear Advection-Diffusion Equations

  Baohui Hou, Dong Liang

  2019-02-22

  36222 2766 Pages:276-296

• Cell Centered Finite Volume Methods Using Taylor Series Expansion Scheme Without Fictitious Domains

  G.-M. Gie, R. Temam

  2018-08-15

  32164 3819 Pages:1-29