Copertina

On the Richardson Extrapolation in Time of Finite Element Method with Discrete TBCs for the Cauchy Problem for the 1D Schrödinger Equation

Fuente: arXiv

Salvato in:

Dettagli Bibliografici
Autori principali:	Zlotnik, A., Zlotnik, I.
Natura:	Preprint
Pubblicazione:	2014
Soggetti:	Numerical Analysis Quantum Physics 65M60, 65M12, 35Q41
Accesso online:	Acceder al recurso
Tags:	Aggiungi Tag Nessun Tag, puoi essere il primo ad aggiungerne!!

Documenti analoghi

On Error Estimates of the Crank-Nicolson-Polylinear Finite Element Method with the Discrete TBC for the Generalized Schrödinger Equation in an Unbounded Parallelepiped
di: Zlotnik, Alexander
Pubblicazione: (2015)

A Numerov-Crank-Nicolson-Strang scheme with discrete transparent boundary conditions for the Schrödinger equation on a semi-infinite strip
di: Zlotnik, Alexander, et al.
Pubblicazione: (2013)

The splitting in potential Crank-Nicolson scheme with discrete transparent boundary conditions for the Schrödinger equation on a semi-infinite strip
di: Ducomet, Bernard, et al.
Pubblicazione: (2013)

A splitting higher order scheme with discrete transparent boundary conditions for the Schrödinger equation in a semi-infinite parallelepiped
di: Ducomet, Bernard, et al.
Pubblicazione: (2013)

Some remarks on discrete and semi-discrete transparent boundary conditions for solving the time-dependent Schrödinger equation on the half-axis
di: Zlotnik, Alexander, et al.
Pubblicazione: (2014)

Upper and Lower Error Bounds for a Compact Fourth-Order Finite-Difference Scheme for the Wave Equation with Nonsmooth Data
di: Zlotnik, Alexander
Pubblicazione: (2025)

Convergence of a moving window method for the Schrödinger equation with potential on $\mathbb{R}^d$
di: Iserles, Arieh, et al.
Pubblicazione: (2024)

Explicit symmetric low-regularity integrators for the nonlinear Schrödinger equation
di: Feng, Yue, et al.
Pubblicazione: (2024)

Feynman-Kac Formula for Time-Dependent Nonlinear Schrödinger Equations with Applications in Numerical Approximations
di: Cheung, Hang, et al.
Pubblicazione: (2024)

A Second-Order Maximum-Principle-Preserving Crouzeix-Raviart Finite Element Method for Time-dependent Transport Equation
di: Mao, Shipeng, et al.
Pubblicazione: (2026)

Stable $C^1$-conforming finite element methods for a class of nonlinear fourth-order evolution equations
di: Soenjaya, Agus L., et al.
Pubblicazione: (2023)

Mixed finite element methods for the Landau--Lifshitz--Baryakhtar and the regularised Landau--Lifshitz--Bloch equations in micromagnetics
di: Soenjaya, Agus L.
Pubblicazione: (2024)

On Properties of Compact 4th order Finite-Difference Schemes for the Variable Coefficient Wave Equation
di: Zlotnik, Alexander, et al.
Pubblicazione: (2021)

On properties of an explicit in time fourth-order vector compact scheme for the multidimensional wave equation
di: Zlotnik, Alexander
Pubblicazione: (2021)

Optimal pressure approximation for the nonstationary Stokes problem by a variational method in time with post-processing
di: Anselmann, Mathias, et al.
Pubblicazione: (2025)

On a Completely Discrete Discontinuous Galerkin Method for Incompressible Chemotaxis-Navier-Stokes Equations
di: Bir, Bikram, et al.
Pubblicazione: (2024)

On Optimal Convergence Rates for the Nonlinear Schrödinger Equation with a Wave Operator via Localized Orthogonal Decomposition
di: Hu, Hanzhang, et al.
Pubblicazione: (2026)

Error analysis of scalar auxiliary variable finite element methods for the Landau--Lifshitz--Bloch equation
di: Soenjaya, Agus L.
Pubblicazione: (2026)

The Landau--Lifshitz--Bloch equation on polytopal domains: Unique existence and finite element approximation
di: Le, Kim-Ngan, et al.
Pubblicazione: (2024)

A Fully Discrete Energy-Based Discontinuous Galerkin Method for Variable-Order Time-Fractional Wave Equations
di: Zhang, Lu
Pubblicazione: (2026)

Error analysis of a fully discrete structure-preserving finite element scheme for a diffuse-interface model of tumour growth
di: Soenjaya, Agus L., et al.
Pubblicazione: (2025)

A Discontinuous Galerkin Scheme for the Cahn-Hilliard Equations with Discrete Maximum Principle for Arbitrary Polynomial Order
di: Gunnarsson, Jimmy Kornelije, et al.
Pubblicazione: (2026)

Error Analysis of Time-Dependent Test Functions in the Semi-Lagrangian Discontinuous Finite Element Scheme Based on the Characteristic Galerkin Method
di: Xie, Zhengrong
Pubblicazione: (2026)

Finite Element Approximations of Stochastic Linear Schrödinger equation driven by additive Wiener noise
di: Bhar, Suprio, et al.
Pubblicazione: (2024)

Two Frameworks and their Fourth Order Implicit Schemes for Time Discretization of Maxwell's Equations
di: Arya, Archana, et al.
Pubblicazione: (2026)

Full Discretization of Stochastic Semilinear Schrödinger equation driven by multiplicative Wiener noise
di: Bhar, Suprio, et al.
Pubblicazione: (2025)

On compact 4th order finite-difference schemes for the wave equation
di: Zlotnik, Alexander, et al.
Pubblicazione: (2020)

On properties of a semi-explicit in time fourth-order vector compact scheme for the multidimensional acoustic wave equation
di: Zlotnik, Alexander, et al.
Pubblicazione: (2024)

A "converse" stability condition is necessary for a compact higher order scheme on non-uniform meshes
di: Zlotnik, Alexander, et al.
Pubblicazione: (2017)

A compact higher-order finite-difference scheme for the wave equation can be strongly non-dissipative on non-uniform meshes
di: Zlotnik, Alexander, et al.
Pubblicazione: (2020)

On a family of finite-difference schemes with discrete transparent boundary conditions for a parabolic equation on the half-axis
di: Zlotnik, Alexander, et al.
Pubblicazione: (2012)

Error Inhibiting Methods for Finite Elements
di: Ditkowski, Adi, et al.
Pubblicazione: (2020)

Error Inhibiting Methods for Finite Elements
di: Ditkowski, Adi, et al.
Pubblicazione: (2024)

A matrix-based approach to the stability of a space-time isogeometric method for the linear Schrödinger equation
di: Ferrari, Matteo, et al.
Pubblicazione: (2025)

Energy Conserving Higher Order Mixed Finite Element Discretizations of Maxwell's Equations
di: Arya, Archana, et al.
Pubblicazione: (2023)

Numerical analysis of the Landau--Lifshitz--Bloch equation with spin-torques
di: Soenjaya, Agus L.
Pubblicazione: (2025)

The Landau--Lifshitz--Bloch equation with spin diffusion: Global strong solution and finite element approximation
di: Soenjaya, Agus L.
Pubblicazione: (2026)

On fast Fourier solvers for the tensor product high-order FEM for a generalized Poisson equation
di: Zlotnik, Alexander, et al.
Pubblicazione: (2017)

A direct fast FFT-based implementation for high order finite element method on rectangular parallelepipeds for PDE
di: Zlotnik, Alexander, et al.
Pubblicazione: (2016)

Numerical Analysis and Dimension Splitting for A Semi-Lagrangian Discontinuous Finite Element Scheme Based on the Characteristic Galerkin Method
di: Xie, Zhengrong
Pubblicazione: (2025)