Cover Image

Asymptotic Recovery in Fourier Spectral Methods for the Schrödinger Equation with Point Singularities

Fuente: arXiv

Saved in:

Bibliographic Details
Main Authors:	Li, Yanjie, Shao, Sihong
Format:	Preprint
Published:	2026
Subjects:	Numerical Analysis Spectral Theory Quantum Physics 65N15, 65N35, 65T40, 35J10, 81Q05
Online Access:	Acceder al recurso
Tags:	Add Tag No Tags, Be the first to tag this record!

Similar Items

Explicit Two-Sided Eigenvalue Bounds for Schrödinger Operators with Singular Potentials via Finite Element Method
by: Liu, Xuefeng
Published: (2026)

A model reduction method for solving the eigenvalue problem of semiclassical random Schrödinger operators
by: Li, Panchi, et al.
Published: (2025)

Two Dimensional Fourier Continuation for Domains with Corners
by: Bruno, Oscar P., et al.
Published: (2026)

Finite element discretization of the steady, generalized Navier-Stokes equations for small shear stress exponents
by: Kaltenbach, Alex, et al.
Published: (2024)

New twofold saddle-point formulations for Biot poroelasticity with porosity-dependent permeability
by: Lamichhane, Bishnu P., et al.
Published: (2023)

A priori and a posteriori error bounds for the fully mixed FEM formulation of poroelasticity with stress-dependent permeability
by: Khan, Arbaz, et al.
Published: (2024)

The dependency of spectral gaps on the convergence of the inverse iteration for a nonlinear eigenvector problem
by: Henning, Patrick
Published: (2022)

Convergence of a Riemannian gradient method for the Gross-Pitaevskii energy functional in a rotating frame
by: Henning, Patrick, et al.
Published: (2024)

Nonlinear Inverse Iterations for Spin-Orbit Coupled Quantum Gases
by: Henning, Patrick, et al.
Published: (2026)

Fourth-order uniformly accurate integrators with long time near conservations for the nonlinear Dirac equation in the nonrelativistic regime
by: Wang, Lina, et al.
Published: (2025)

A Simple GPU-Accelerated Solver for the Schrödinger Operator with Applications to Ground States and Hamiltonian Simulation
by: Liu, Xinyu, et al.
Published: (2026)

Error analysis for a fully-discrete finite element approximation of the unsteady $p(\cdot,\cdot)$-Stokes equations
by: Berselli, Luigi C., et al.
Published: (2025)

Error analysis for a finite element approximation of the steady $p(\cdot)$-Navier-Stokes equations
by: Berselli, Luigi C., et al.
Published: (2023)

On the Pre-Asymptotic Stability and Inverse Structure of Extended-Domain Spectral Methods
by: Wu, Po-Yi
Published: (2025)

Vanka-smoothed shifted Laplacian multigrid preconditioners for the Helmholtz equations
by: Yovel, Rachel, et al.
Published: (2025)

Discontinuous Galerkin approximation for a Stokes-Brinkman-type formulation for the eigenvalue problem in porous media
by: Lepe, Felipe, et al.
Published: (2025)

A Stokes-Brinkman-type formulation for the eigenvalue problem in porous media
by: Lepe, Felipe, et al.
Published: (2025)

Numerical analysis of a porous natural convection system with vorticity and viscous dissipation
by: Demos, Russel, et al.
Published: (2024)

Embedded Trefftz DG method for the Helmholtz equation
by: Stocker, Paul, et al.
Published: (2026)

Super-localized Orthogonal Decomposition for high-frequency Helmholtz problems
by: Freese, Philip, et al.
Published: (2021)

A finite difference scheme for two-dimensional singularly perturbed convection-diffusion problem with discontinuous source term
by: Shiromani, Ram, et al.
Published: (2024)

A Green's Function-Based Enclosure Framework for Poisson's Equation and Generalized Sub- and Super-Solutions
by: Tanaka, Kazuaki, et al.
Published: (2026)

Scalable Multigrid Solver for the Helmholtz Equation: Real-Shifted Coarse Grid Correction
by: Yovel, Rachel, et al.
Published: (2026)

Modal-Rectification-Based Directional Edge Diffusion for Cartesian Convection--Diffusion Problems
by: Bomisso, Gossrin Jean-Marc, et al.
Published: (2026)

Preconditioning of a pollution-free discretization of the Helmholtz equation
by: Monsuur, Harald
Published: (2025)

The Dirac Delta as a Singular Potential for the 2D Schrodinger Equation
by: Maroun, Michael
Published: (2023)

Solving the fully nonlinear Monge-Ampère equation using the Legendre-Kolmogorov-Arnold Network method
by: Hu, Bingcheng, et al.
Published: (2025)

Adaptive boundary element methods for regularized combined field integral equations
by: Chaumont-Frelet, Théophile, et al.
Published: (2025)

A priori error estimates for finite element discretization of semilinear elliptic equations with non-Lipschitz nonlinearities
by: Vexler, Boris
Published: (2024)

Well-conditioned dipole-type method of fundamental solutions: derivation and its mathematical analysis
by: Sakakibara, Koya
Published: (2024)

A divergence-free projection method for quasiperiodic photonic crystals in three dimensions
by: Gao, Zixuan, et al.
Published: (2024)

Robust finite element methods and solvers for the Biot--Brinkman equations in vorticity form
by: Caraballo, Ruben, et al.
Published: (2023)

Small-hole minimization of the first Dirichlet eigenvalue in a square with two hard obstacles
by: Schneider, Baruch, et al.
Published: (2026)

A probabilistic approach to spectral analysis of Cauchy-type inverse problems: Convergence and stability analysis
by: Cîmpean, Iulian, et al.
Published: (2025)

Anisotropic Error Analysis of Weak Galerkin finite element method for Singularly Perturbed Biharmonic Problems
by: Raina, Aayushman, et al.
Published: (2024)

Mortar coupling of $hp$-discontinuous Galerkin and boundary element methods for the Helmholtz equation
by: Erath, Christoph, et al.
Published: (2021)

FEM-BEM mortar coupling for the Helmholtz problem in three dimensions
by: Mascotto, Lorenzo, et al.
Published: (2020)

Numerical spectral analysis of Cauchy-type inverse problems: A probabilistic approach
by: Cîmpean, Iulian, et al.
Published: (2024)

Optimal error bounds on an exponential wave integrator Fourier spectral method for the logarithmic Schrödinger equation
by: Bao, Weizhu, et al.
Published: (2024)

A robust solver for H(curl) convection-diffusion and its local Fourier analysis
by: Wang, Jindong, et al.
Published: (2024)