Cover Image

The convergence proof of the sixth-order compact 9-point FDM for the 2D transport problem

Fuente: arXiv

Saved in:

Bibliographic Details
Main Author:	Feng, Qiwei
Format:	Preprint
Published:	2025
Subjects:	Numerical Analysis
Online Access:	Acceder al recurso
Tags:	Add Tag No Tags, Be the first to tag this record!

Similar Items

Fourth-order compact finite difference methods for 2D and 3D nonlinear convection-diffusion-reaction equations
by: Feng, Qiwei
Published: (2026)

Efficient and simple fourth-order compact finite difference methods for convection-diffusion-reaction equations on arbitrary curved domains
by: Feng, Qiwei, et al.
Published: (2026)

Development of a new sixth order accurate compact scheme for two and three dimensional Helmholtz equation
by: Kumar, Neelesh, et al.
Published: (2019)

Neural solver for sixth-order ordinary differential equations
by: Bhalala, Janavi, et al.
Published: (2025)

A $C^0$ finite element algorithm for the sixth order problem with simply supported boundary conditions
by: Li, Hengguang, et al.
Published: (2023)

Non-self-adjoint sixth-order eigenvalue problems arising from clamped elastic thin films on closed domains
by: Papanicolaou, N C, et al.
Published: (2025)

A sixth-order central WENO scheme for nonlinear degenerate parabolic equations
by: Rathan, Samala, et al.
Published: (2022)

Distinct Numerical Solutions for Elliptic Cross-Interface Problems Using Finite Element and Finite Difference Methods
by: Feng, Qiwei
Published: (2024)

A Derivative-Orthogonal Wavelet Multiscale Method for 1D Elliptic Equations with Rough Diffusion Coefficients
by: Feng, Qiwei, et al.
Published: (2024)

A sixth-order compact time-splitting Fourier pseudospectral method
by: Gao, Weiguo, et al.
Published: (2026)

Fourth-Order Compact FDMs for Steady and Time-Dependent Nonlinear Convection-Diffusion Equations
by: Feng, Qiwei, et al.
Published: (2025)

An immersed $CR$-$P_0$ element for Stokes interface problems and the optimal convergence analysis
by: Ji, Haifeng, et al.
Published: (2021)

A High-Order, Pressure-Robust, and Decoupled Finite Difference Method for the Stokes Problem
by: Feng, Qiwei, et al.
Published: (2025)

Model order reduction of an ultraweak and optimally stable variational formulation for parametrized reactive transport problems
by: Engwer, Christian, et al.
Published: (2023)

Anderson acceleration with adaptive relaxation for convergent fixed-point iterations
by: Lepage-Saucier, Nicolas
Published: (2024)

Fourth-order compact exponential splittings for unbounded operators
by: Del Valle, Juan Carlos, et al.
Published: (2025)

A fifth-order absolutely convergent fixed-point fast sweeping hybrid alternative WENO scheme for steady state of hyperbolic conservation laws
by: Li, Liang, et al.
Published: (2025)

On the convergence of split exponential integrators for semilinear parabolic problems
by: Caliari, Marco, et al.
Published: (2025)

Concrete convergence rates for common fixed point problems under Karamata regularity
by: Liu, Tianxiang, et al.
Published: (2024)

Global convergence of iterative solvers for problems of nonlinear magnetostatics
by: Egger, Herbert, et al.
Published: (2024)

Matrix-free GPU-accelerated saddle-point solvers for high-order problems in $H(\mathrm{div})$
by: Pazner, Will, et al.
Published: (2023)

Derivation of sixth-order exponential Runge--Kutta methods for stiff systems
by: Luan, Vu Thai, et al.
Published: (2023)

On the convergence of higher order finite element methods for nonlinear magnetostatics
by: Egger, Herbert, et al.
Published: (2024)

Higher-order multi-scale computational method and its convergence analysis for hygro-thermo-mechanical coupling problems of quasi-periodic composite structures
by: Dong, Hao, et al.
Published: (2025)

Acousto-electric tomography by the convergence of Kaczamrz two-point gradient-$Θ$ method
by: Zhu, Kai, et al.
Published: (2024)

Uniform norm error estimate for rectangular finite element approximation of a 2D turning point problem
by: Shallu, et al.
Published: (2025)

High order compact fully-discrete scheme for hyperbolic conversation laws
by: Zhou, Tong, et al.
Published: (2024)

Schwarz methods with PMLs for Helmholtz problems: fast convergence at high frequency
by: Galkowski, Jeffrey, et al.
Published: (2024)

On preconditioned Riemannian gradient methods for minimizing the Gross-Pitaevskii energy functional: algorithms, global convergence and optimal local convergence rate
by: Feng, Zixu, et al.
Published: (2025)

On the convergence of discrete dynamic unbalanced transport models
by: Li, Bowen, et al.
Published: (2023)

Multigrid reduction-in-time convergence for advection problems: A Fourier analysis perspective
by: De Sterck, H., et al.
Published: (2022)

Optimal error analysis of an interior penalty virtual element method for fourth-order singular perturbation problems
by: Feng, Fang, et al.
Published: (2025)

Optimally convergent HDG method for third-order Korteweg-de Vries type equations
by: Dong, Bo
Published: (2016)

Bivariate range functions with superior convergence order
by: Zhang, Bingwei, et al.
Published: (2026)

Inverse medium problems, saddle point formulation
by: Ito, Kazufumi
Published: (2024)

Strong and weak convergence orders of numerical methods for SDEs driven by time-changed Lévy noise
by: Chen, Ziheng, et al.
Published: (2025)

Weak convergence order of stochastic theta method for SDEs driven by time-changed Lévy noise
by: Chen, Ziheng, et al.
Published: (2026)

A generalized Riemann problem-based compact reconstruction method for finite volume schemes
by: Montecinos, Gino I., et al.
Published: (2026)

An effective implementation of high-order compact gas-kinetic scheme on structured meshes for compressible flows
by: Yang, Yaqing, et al.
Published: (2025)

Fourth-order compact finite difference schemes for solving biharmonic equations with Dirichlet boundary conditions
by: Pan, Kejia, et al.
Published: (2024)