Upper and Lower Error Bounds for a Compact Fourth-Order Finite-Difference Scheme for the Wave Equation with Nonsmooth Data
Fuente:
arXiv
Guardado en:
| Autor principal: | Zlotnik, Alexander |
|---|---|
| Formato: | Preprint |
| Publicado: |
2025
|
| Materias: | |
| Acceso en línea: | |
| Etiquetas: |
Agregar Etiqueta
Sin Etiquetas, Sea el primero en etiquetar este registro!
|
Ejemplares similares
On Properties of Compact 4th order Finite-Difference Schemes for the Variable Coefficient Wave Equation
por: Zlotnik, Alexander, et al.
Publicado: (2021)
por: Zlotnik, Alexander, et al.
Publicado: (2021)
A Semi-Explicit Compact Fourth-Order Finite-Difference Scheme for the General Acoustic Wave Equation
por: Zlotnik, A., et al.
Publicado: (2025)
por: Zlotnik, A., et al.
Publicado: (2025)
On properties of an explicit in time fourth-order vector compact scheme for the multidimensional wave equation
por: Zlotnik, Alexander
Publicado: (2021)
por: Zlotnik, Alexander
Publicado: (2021)
On a family of finite-difference schemes with discrete transparent boundary conditions for a parabolic equation on the half-axis
por: Zlotnik, Alexander, et al.
Publicado: (2012)
por: Zlotnik, Alexander, et al.
Publicado: (2012)
A "converse" stability condition is necessary for a compact higher order scheme on non-uniform meshes
por: Zlotnik, Alexander, et al.
Publicado: (2017)
por: Zlotnik, Alexander, et al.
Publicado: (2017)
A compact higher-order finite-difference scheme for the wave equation can be strongly non-dissipative on non-uniform meshes
por: Zlotnik, Alexander, et al.
Publicado: (2020)
por: Zlotnik, Alexander, et al.
Publicado: (2020)
On properties of a semi-explicit in time fourth-order vector compact scheme for the multidimensional acoustic wave equation
por: Zlotnik, Alexander, et al.
Publicado: (2024)
por: Zlotnik, Alexander, et al.
Publicado: (2024)
On compact 4th order finite-difference schemes for the wave equation
por: Zlotnik, Alexander, et al.
Publicado: (2020)
por: Zlotnik, Alexander, et al.
Publicado: (2020)
Maximum-Norm Error Estimates of Fourth-Order Compact and ADI Compact Finite Difference Methods for Nonlinear Coupled Bacterial Systems
por: Xu, Jie, et al.
Publicado: (2024)
por: Xu, Jie, et al.
Publicado: (2024)
Error Inhibiting Methods for Finite Elements
por: Ditkowski, Adi, et al.
Publicado: (2020)
por: Ditkowski, Adi, et al.
Publicado: (2020)
Error Inhibiting Methods for Finite Elements
por: Ditkowski, Adi, et al.
Publicado: (2024)
por: Ditkowski, Adi, et al.
Publicado: (2024)
A Numerov-Crank-Nicolson-Strang scheme with discrete transparent boundary conditions for the Schrödinger equation on a semi-infinite strip
por: Zlotnik, Alexander, et al.
Publicado: (2013)
por: Zlotnik, Alexander, et al.
Publicado: (2013)
On Error Estimates of the Crank-Nicolson-Polylinear Finite Element Method with the Discrete TBC for the Generalized Schrödinger Equation in an Unbounded Parallelepiped
por: Zlotnik, Alexander
Publicado: (2015)
por: Zlotnik, Alexander
Publicado: (2015)
Two Frameworks and their Fourth Order Implicit Schemes for Time Discretization of Maxwell's Equations
por: Arya, Archana, et al.
Publicado: (2026)
por: Arya, Archana, et al.
Publicado: (2026)
Nonsmooth data error estimates for exponential Runge-Kutta methods and applications to split exponential integrators
por: Huang, Qiumei, et al.
Publicado: (2025)
por: Huang, Qiumei, et al.
Publicado: (2025)
Compact finite-difference scheme for some Sobolev type equations with Dirichlet boundary conditions
por: Salian, Lavanya V, et al.
Publicado: (2024)
por: Salian, Lavanya V, et al.
Publicado: (2024)
An Efficient Space-Time Two-Grid Compact Difference Scheme for the Two-Dimensional Viscous Burgers' Equation
por: Peng, Xiangyi, et al.
Publicado: (2025)
por: Peng, Xiangyi, et al.
Publicado: (2025)
On the Stability Barrier of Hermite Type Discretizations of Advection Equations
por: Zeng, Xianyi
Publicado: (2025)
por: Zeng, Xianyi
Publicado: (2025)
The splitting in potential Crank-Nicolson scheme with discrete transparent boundary conditions for the Schrödinger equation on a semi-infinite strip
por: Ducomet, Bernard, et al.
Publicado: (2013)
por: Ducomet, Bernard, et al.
Publicado: (2013)
GPU-Accelerated Energy-Conserving Methods for the Two-Dimensional Hyperbolized Serre-Green-Naghdi Equations
por: Wittenstein, Collin, et al.
Publicado: (2026)
por: Wittenstein, Collin, et al.
Publicado: (2026)
On the Practical Impact of Local Linear Instabilities in Entropy-Stable Schemes
por: Bercik, Alex, et al.
Publicado: (2026)
por: Bercik, Alex, et al.
Publicado: (2026)
An Efficient Numerical Scheme for a Time-Fractional Burgers Equation with Caputo-Prabhakar Derivative
por: Singh, Deeksha, et al.
Publicado: (2024)
por: Singh, Deeksha, et al.
Publicado: (2024)
Stable Volume Dissipation for High-Order Finite-Difference and Spectral-Element Methods with the Summation-by-Parts Property
por: Bercik, Alex, et al.
Publicado: (2025)
por: Bercik, Alex, et al.
Publicado: (2025)
An unconditionally stable numerical approach for solving a nonlinear distributed delay Sobolev model
por: Ngondiep, Eric
Publicado: (2025)
por: Ngondiep, Eric
Publicado: (2025)
Unconditionally optimal error estimate of a linearized variable-time-step BDF2 scheme for nonlinear parabolic equations
por: Zhao, Chengchao, et al.
Publicado: (2022)
por: Zhao, Chengchao, et al.
Publicado: (2022)
A strong two-stage explicit/implicit approach combined with mixed finite element methods for a three-dimensional nonlinear radiation-conduction model in anisotropic media
por: Ngondiep, Eric
Publicado: (2025)
por: Ngondiep, Eric
Publicado: (2025)
A semi-generating function approach to the stability of implicit-explicit multistep methods for nonlinear parabolic equations
por: Liao, Hong-lin, et al.
Publicado: (2026)
por: Liao, Hong-lin, et al.
Publicado: (2026)
An Arbitrarily Higher-Order Time Implicit Scheme for Maxwell's Equations
por: Arya, Archana, et al.
Publicado: (2024)
por: Arya, Archana, et al.
Publicado: (2024)
On the Richardson Extrapolation in Time of Finite Element Method with Discrete TBCs for the Cauchy Problem for the 1D Schrödinger Equation
por: Zlotnik, A., et al.
Publicado: (2014)
por: Zlotnik, A., et al.
Publicado: (2014)
Stable and high-order accurate finite difference methods for the diffusive viscous wave equation
por: Wang, Siyang
Publicado: (2025)
por: Wang, Siyang
Publicado: (2025)
Mesh-robust stability and convergence of variable-step deferred correction methods based on the BDF2 formula
por: Yue, Jiahe, et al.
Publicado: (2024)
por: Yue, Jiahe, et al.
Publicado: (2024)
Projections, Embeddings and Stability
por: Olsson, Pelle
Publicado: (2024)
por: Olsson, Pelle
Publicado: (2024)
Computational decomposition and composition technique for approximate solution of nonstationary problems
por: Vabishchevich, P. N.
Publicado: (2024)
por: Vabishchevich, P. N.
Publicado: (2024)
A novel central compact finite-difference scheme for third derivatives with high spectral resolution
por: Salian, Lavanya V, et al.
Publicado: (2024)
por: Salian, Lavanya V, et al.
Publicado: (2024)
A robust time-split linearized explicit/implicit technique for two-dimensional hydrodynamic model: an application to floods in Cameroon far north region
por: Ngondiep, Eric
Publicado: (2024)
por: Ngondiep, Eric
Publicado: (2024)
Decoupling technology for systems of evolutionary equations
por: Vabishchevich, Petr N.
Publicado: (2024)
por: Vabishchevich, Petr N.
Publicado: (2024)
On the stability analysis of perfectly matched layer for the elastic wave equation in layered media
por: Duru, Kenneth, et al.
Publicado: (2022)
por: Duru, Kenneth, et al.
Publicado: (2022)
Discrete energy analysis of the third-order variable-step BDF time-stepping for diffusion equations
por: Liao, Hong-lin, et al.
Publicado: (2022)
por: Liao, Hong-lin, et al.
Publicado: (2022)
A second-order product-type implicit-explicit Runge-Kutta method preserving unit length and energy dissipation structures for gradient flows of vector fields
por: Li, Jianan, et al.
Publicado: (2026)
por: Li, Jianan, et al.
Publicado: (2026)
Weighted finite difference methods for a nonlinear Klein--Gordon equation with high oscillations in space and time
por: Shi, Yanyan, et al.
Publicado: (2026)
por: Shi, Yanyan, et al.
Publicado: (2026)
Ejemplares similares
-
On Properties of Compact 4th order Finite-Difference Schemes for the Variable Coefficient Wave Equation
por: Zlotnik, Alexander, et al.
Publicado: (2021) -
A Semi-Explicit Compact Fourth-Order Finite-Difference Scheme for the General Acoustic Wave Equation
por: Zlotnik, A., et al.
Publicado: (2025) -
On properties of an explicit in time fourth-order vector compact scheme for the multidimensional wave equation
por: Zlotnik, Alexander
Publicado: (2021) -
On a family of finite-difference schemes with discrete transparent boundary conditions for a parabolic equation on the half-axis
por: Zlotnik, Alexander, et al.
Publicado: (2012) -
A "converse" stability condition is necessary for a compact higher order scheme on non-uniform meshes
por: Zlotnik, Alexander, et al.
Publicado: (2017)