The splitting in potential Crank-Nicolson scheme with discrete transparent boundary conditions for the Schrödinger equation on a semi-infinite strip
Fuente:
arXiv
Saved in:
| Main Authors: | Ducomet, Bernard, Zlotnik, Alexander, Zlotnik, Ilya |
|---|---|
| Format: | Preprint |
| Published: |
2013
|
| Subjects: | |
| Online Access: | |
| Tags: |
Add Tag
No Tags, Be the first to tag this record!
|
Similar Items
A splitting higher order scheme with discrete transparent boundary conditions for the Schrödinger equation in a semi-infinite parallelepiped
by: Ducomet, Bernard, et al.
Published: (2013)
by: Ducomet, Bernard, et al.
Published: (2013)
A Numerov-Crank-Nicolson-Strang scheme with discrete transparent boundary conditions for the Schrödinger equation on a semi-infinite strip
by: Zlotnik, Alexander, et al.
Published: (2013)
by: Zlotnik, Alexander, et al.
Published: (2013)
Some remarks on discrete and semi-discrete transparent boundary conditions for solving the time-dependent Schrödinger equation on the half-axis
by: Zlotnik, Alexander, et al.
Published: (2014)
by: Zlotnik, Alexander, et al.
Published: (2014)
On a family of finite-difference schemes with discrete transparent boundary conditions for a parabolic equation on the half-axis
by: Zlotnik, Alexander, et al.
Published: (2012)
by: Zlotnik, Alexander, et al.
Published: (2012)
On Error Estimates of the Crank-Nicolson-Polylinear Finite Element Method with the Discrete TBC for the Generalized Schrödinger Equation in an Unbounded Parallelepiped
by: Zlotnik, Alexander
Published: (2015)
by: Zlotnik, Alexander
Published: (2015)
On properties of an explicit in time fourth-order vector compact scheme for the multidimensional wave equation
by: Zlotnik, Alexander
Published: (2021)
by: Zlotnik, Alexander
Published: (2021)
On properties of a semi-explicit in time fourth-order vector compact scheme for the multidimensional acoustic wave equation
by: Zlotnik, Alexander, et al.
Published: (2024)
by: Zlotnik, Alexander, et al.
Published: (2024)
On the Richardson Extrapolation in Time of Finite Element Method with Discrete TBCs for the Cauchy Problem for the 1D Schrödinger Equation
by: Zlotnik, A., et al.
Published: (2014)
by: Zlotnik, A., et al.
Published: (2014)
On compact 4th order finite-difference schemes for the wave equation
by: Zlotnik, Alexander, et al.
Published: (2020)
by: Zlotnik, Alexander, et al.
Published: (2020)
A "converse" stability condition is necessary for a compact higher order scheme on non-uniform meshes
by: Zlotnik, Alexander, et al.
Published: (2017)
by: Zlotnik, Alexander, et al.
Published: (2017)
A compact higher-order finite-difference scheme for the wave equation can be strongly non-dissipative on non-uniform meshes
by: Zlotnik, Alexander, et al.
Published: (2020)
by: Zlotnik, Alexander, et al.
Published: (2020)
Upper and Lower Error Bounds for a Compact Fourth-Order Finite-Difference Scheme for the Wave Equation with Nonsmooth Data
by: Zlotnik, Alexander
Published: (2025)
by: Zlotnik, Alexander
Published: (2025)
On Properties of Compact 4th order Finite-Difference Schemes for the Variable Coefficient Wave Equation
by: Zlotnik, Alexander, et al.
Published: (2021)
by: Zlotnik, Alexander, et al.
Published: (2021)
Compact finite-difference scheme for some Sobolev type equations with Dirichlet boundary conditions
by: Salian, Lavanya V, et al.
Published: (2024)
by: Salian, Lavanya V, et al.
Published: (2024)
Entropy-split multidimensional summation-by-parts discretization of the Euler and compressible Navier-Stokes equations
by: Worku, Zelalem Arega, et al.
Published: (2023)
by: Worku, Zelalem Arega, et al.
Published: (2023)
A Semi-Explicit Compact Fourth-Order Finite-Difference Scheme for the General Acoustic Wave Equation
by: Zlotnik, A., et al.
Published: (2025)
by: Zlotnik, A., et al.
Published: (2025)
On fast Fourier solvers for the tensor product high-order FEM for a generalized Poisson equation
by: Zlotnik, Alexander, et al.
Published: (2017)
by: Zlotnik, Alexander, et al.
Published: (2017)
A structure-preserving relaxation Crank-Nicolson finite element method for the Schrödinger-Poisson equation
by: Liu, Huini, et al.
Published: (2024)
by: Liu, Huini, et al.
Published: (2024)
A collocation scheme that is equivalent to discontinuous Galerkin discretizations
by: Hicken, Jason
Published: (2026)
by: Hicken, Jason
Published: (2026)
Crank-Nicolson schemes for sub-diffusion equations with nonsingular and singular source terms in time
by: Zhou, Han, et al.
Published: (2023)
by: Zhou, Han, et al.
Published: (2023)
Efficient bound preserving and asymptotic preserving semi-implicit schemes for the fast reaction-diffusion system
by: Zhao, Yu, et al.
Published: (2024)
by: Zhao, Yu, et al.
Published: (2024)
A semi-generating function approach to the stability of implicit-explicit multistep methods for nonlinear parabolic equations
by: Liao, Hong-lin, et al.
Published: (2026)
by: Liao, Hong-lin, et al.
Published: (2026)
A direct fast FFT-based implementation for high order finite element method on rectangular parallelepipeds for PDE
by: Zlotnik, Alexander, et al.
Published: (2016)
by: Zlotnik, Alexander, et al.
Published: (2016)
Weighted finite difference methods for the semiclassical nonlinear Schrödinger equation with multiphase oscillatory initial data
by: Shi, Yanyan, et al.
Published: (2025)
by: Shi, Yanyan, et al.
Published: (2025)
Unconditionally optimal error estimate of a linearized variable-time-step BDF2 scheme for nonlinear parabolic equations
by: Zhao, Chengchao, et al.
Published: (2022)
by: Zhao, Chengchao, et al.
Published: (2022)
Error estimates of fully semi-Lagrangian schemes for diffusive conservation laws
by: Takemura, Haruki
Published: (2025)
by: Takemura, Haruki
Published: (2025)
Error estimates of time-splitting schemes for nonlinear Klein--Gordon equation with rough data
by: Ji, Lun, et al.
Published: (2025)
by: Ji, Lun, et al.
Published: (2025)
$L^2$ norm error estimates of BDF methods up to fifth-order for the phase field crystal model
by: Liao, Hong-lin, et al.
Published: (2022)
by: Liao, Hong-lin, et al.
Published: (2022)
A conservative semi-Lagrangian method for oscillation-free computation of advection processes
by: Ida, Masato
Published: (2001)
by: Ida, Masato
Published: (2001)
Quantum circuits for the advection-diffusion equation with boundary conditions based on LCHS
by: Chen, Leyu, et al.
Published: (2026)
by: Chen, Leyu, et al.
Published: (2026)
Error estimates for semi-Lagrangian schemes with higher-order interpolation for conservation laws with dispersive terms
by: Takemura, Haruki
Published: (2025)
by: Takemura, Haruki
Published: (2025)
A numerical scheme for a diffusion equation with nonlocal nonlinear boundary condition
by: Halder, Joydev, et al.
Published: (2022)
by: Halder, Joydev, et al.
Published: (2022)
Convergence of a moving window method for the Schrödinger equation with potential on $\mathbb{R}^d$
by: Iserles, Arieh, et al.
Published: (2024)
by: Iserles, Arieh, et al.
Published: (2024)
High-order mass- and energy-conserving methods for the nonlinear Schrödinger equation and its hyperbolization
by: Ranocha, Hendrik, et al.
Published: (2025)
by: Ranocha, Hendrik, et al.
Published: (2025)
A novel central compact finite-difference scheme for third derivatives with high spectral resolution
by: Salian, Lavanya V, et al.
Published: (2024)
by: Salian, Lavanya V, et al.
Published: (2024)
A hyperbolic finite difference scheme for anisotropic diffusion equations: preserving the discrete maximum principle
by: Eto, Tokuhiro, et al.
Published: (2025)
by: Eto, Tokuhiro, et al.
Published: (2025)
Stability and error analysis of fully discrete original energy-dissipative and length-preserving scheme for the Landau-Lifshitz-Gilbert equation
by: Li, Binghong, et al.
Published: (2026)
by: Li, Binghong, et al.
Published: (2026)
A robust time-split linearized explicit/implicit technique for two-dimensional hydrodynamic model: an application to floods in Cameroon far north region
by: Ngondiep, Eric
Published: (2024)
by: Ngondiep, Eric
Published: (2024)
Decoupling technology for systems of evolutionary equations
by: Vabishchevich, Petr N.
Published: (2024)
by: Vabishchevich, Petr N.
Published: (2024)
Stable and asymptotic preserving space-time discretizations of a linear kinetic transport equation in diffusive scaling
by: Gjesteland, Anita, et al.
Published: (2026)
by: Gjesteland, Anita, et al.
Published: (2026)
Similar Items
-
A splitting higher order scheme with discrete transparent boundary conditions for the Schrödinger equation in a semi-infinite parallelepiped
by: Ducomet, Bernard, et al.
Published: (2013) -
A Numerov-Crank-Nicolson-Strang scheme with discrete transparent boundary conditions for the Schrödinger equation on a semi-infinite strip
by: Zlotnik, Alexander, et al.
Published: (2013) -
Some remarks on discrete and semi-discrete transparent boundary conditions for solving the time-dependent Schrödinger equation on the half-axis
by: Zlotnik, Alexander, et al.
Published: (2014) -
On a family of finite-difference schemes with discrete transparent boundary conditions for a parabolic equation on the half-axis
by: Zlotnik, Alexander, et al.
Published: (2012) -
On Error Estimates of the Crank-Nicolson-Polylinear Finite Element Method with the Discrete TBC for the Generalized Schrödinger Equation in an Unbounded Parallelepiped
by: Zlotnik, Alexander
Published: (2015)