Cover Image

Rigorous Eigenvalue Bounds for Schrödinger Operators with Confining Potentials on $\mathbb{R}^2$

Fuente: arXiv

Saved in:

Bibliographic Details
Main Author:	Liu, Xuefeng
Format:	Preprint
Published:	2026
Subjects:	Numerical Analysis 65N25
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 Two-Stage Finite Element Approach for High-precision Guaranteed Lower Eigenvalue Bounds
by: Liu, Xuefeng, et al.
Published: (2025)

Stable Computation of Laplacian Eigenfunctions Corresponding to Clustered Eigenvalues
by: Endo, Ryoki, et al.
Published: (2025)

A Lifting-Based Interface Reduction Framework for Nonlinear Transmission and Eigenvalue Problems
by: Chou, So-Hsiang
Published: (2026)

A Hybrid High-Order Method for the Gross--Pitaevskii Eigenvalue Problem
by: Hauck, Moritz, et al.
Published: (2025)

Operator Inference for Elliptic Eigenvalue Problems
by: Li, Haoqian, et al.
Published: (2025)

Adaptive Multilevel Methods for the Maxwell Eigenvalue Problem
by: Liang, Qigang, et al.
Published: (2026)

Old and new Schrödinger eigenvalue localisation
by: Carstensen, Carsten, et al.
Published: (2026)

Continuous Finite Element Method For Maxwell Eigenvalue Problems With Regular Decomposition Technique
by: Liao, Feiyi, et al.
Published: (2025)

On the relation between Galerkin approximations and canonical best-approximations of solutions to some non-linear Schrödinger equations
by: Hassan, Muhammad, et al.
Published: (2025)

Augmented Subspace Scheme for Eigenvalue Problem by Weak Galerkin Finite Element Method
by: Feng, Yue, et al.
Published: (2024)

FEM-DtN-SIM Method for Computing Resonances of Schrödinger Operators
by: Gong, Bo, et al.
Published: (2025)

Virtual element approximation of eigenvalue problems: is the stabilization of the right hand side necessary?
by: Boffi, Daniele, et al.
Published: (2026)

Lower eigenvalue bounds with hybrid high-order methods
by: Tran, Ngoc Tien
Published: (2024)

Two-sided eigenvalue bounds for the Euler-Bernoulli beam
by: Burkotova, Jana, et al.
Published: (2026)

Mixed methods and lower eigenvalue bounds
by: Gallistl, Dietmar
Published: (2024)

Multilevel Monte Carlo methods for stochastic convection-diffusion eigenvalue problems
by: Cui, Tiangang, et al.
Published: (2023)

Avoiding stabilization terms in virtual elements for eigenvalue problems: The Reduced Basis Virtual Element Method
by: Bertoluzza, Silvia, et al.
Published: (2026)

Adaptive refinement for eigenvalue problems based on an associated source problem
by: Giani, Stefano, et al.
Published: (2025)

A Ritz method for solution of parametric generalized EVPs
by: Bisch, Joanna, et al.
Published: (2025)

A hybrid high-order method for the biharmonic problem
by: Liang, Yizhou, et al.
Published: (2025)

A Convergent Inexact Abedin-Kitagawa Iteration Method for Monge-Ampère Eigenvalue Problems
by: Chen, Liang, et al.
Published: (2025)

A Meshfree Method for Eigenvalues of Differential Operators on Surfaces, Including Steklov Problems
by: Venn, Daniel R., et al.
Published: (2024)

Superconvergent postprocessing of $C^0$ interior penalty method
by: Cai, Ying, et al.
Published: (2024)

Mixed finite elements for the Gross-Pitaevskii eigenvalue problem: a priori error analysis and guaranteed lower energy bound
by: Gallistl, Dietmar, et al.
Published: (2024)

Toward genuine efficiency and cluster robustness of preconditioned CG-like eigensolvers
by: Zhou, Ming, et al.
Published: (2026)

Why summation by parts is not enough
by: Glaubitz, Jan, et al.
Published: (2026)

Parallel Multi-Step Contour Integral Methods for Nonlinear Eigenvalue Problems
by: Xi, Yingxia, et al.
Published: (2023)

Quasi-optimal nonconforming approximation of elliptic PDEs with contrasted coefficients and minimal regularity
by: Ern, Alexandre, et al.
Published: (2019)

Convergent Sixth-order Compact Finite Difference Method for Variable-Coefficient Elliptic PDEs in Curved Domains
by: Han, Bin, et al.
Published: (2025)

Adaptive Mixed FEM for the Stokes eigenvalue problem
by: Boffi, Daniele, et al.
Published: (2024)

Broken-FEEC discretizations and Hodge Laplace problems
by: Campos-Pinto, Martin, et al.
Published: (2021)

Robust virtual element methods for coupled stress-assisted diffusion problems
by: Khot, Rekha, et al.
Published: (2024)

A posteriori error analysis of a robust virtual element method for stress-assisted diffusion problems
by: Dassi, Franco, et al.
Published: (2025)

Mesh-free numerical method for Dirichlet eigenpairs of the Laplacian with potential
by: Manea, Dragoş
Published: (2026)

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

Error estimates for the interpolation and approximation of gradients and vector fields on protected Delaunay meshes in $\mathbb{R}^d$
by: Williams, David M., et al.
Published: (2025)

Galerkin Eigenvector Approximations
by: Beattie, Christopher
Published: (1998)

Analytic and Gevrey class regularity for parametric elliptic eigenvalue problems and applications
by: Chernov, Alexey, et al.
Published: (2023)

Towards provable energy-stable overset grid methods using sub-cell summation-by-parts operators
by: Glaubitz, Jan, et al.
Published: (2025)