Numerical technique for the inverse resonance problem

DOI10.1016/j.cam.2004.01.035zbMath1055.65086OpenAlexW1994175072MaRDI QIDQ596213

William Rundell, Paul E. Sacks

Publication date: 10 August 2004

Published in: Journal of Computational and Applied Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.cam.2004.01.035

Mathematics Subject Classification ID

Inverse problems involving ordinary differential equations (34A55) Finite difference and finite volume methods for ordinary differential equations (65L12) Numerical solution of inverse problems involving ordinary differential equations (65L09)

Related Items

On Dirac operator with boundary and transmission conditions depending Herglotz-Nevanlinna type function ⋮ On the local solvability and stability for the inverse spectral problem of the generalized Dirichlet-Regge problem ⋮ Inverse nodal problems for the Sturm-Liouville operator with nonlocal integral conditions ⋮ Local solvability and stability of the generalized inverse Robin-Regge problem with complex coefficients ⋮ Direct and inverse resonance problems for the massless Dirac operator on the half line ⋮ Inverse resonance problems with the discontinuous conditions ⋮ Stability of the inverse resonance problem for Jacobi operators ⋮ An inverse Sturm-Liouville problem with a fractional derivative ⋮ On an inverse scattering problem for a discontinuous Sturm-Liouville equation with a spectral parameter in the boundary condition ⋮ Inverse spectral problems for the generalized Robin-Regge problem with complex coefficients ⋮ Inverse resonance problems for the Schrödinger operator on the real line with mixed given data ⋮ Characteristic properties of scattering data of a boundary value problem ⋮ The recovery of analytic potentials for fourth-order differential equations ⋮ Stability of direct and inverse scattering problems for the self-adjoint Schrödinger operators on the half-line ⋮ Inverse problems for Dirac equations polynomially depending on the spectral parameter ⋮ Determination of Dirac operator with eigenvalue-dependent boundary and jump conditions

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Method of spectral mappings in the inverse problem theory
• On the uniqueness of a spherically symmetric speed of sound from transmission eigenvalues
• A Sturm-Liouville inverse spectral problem with boundary conditions depending on the spectral parameter
• Sturm--Liouville problems with boundary conditions rationally dependent on the eigenparameter. II
• The inverse generalized Regge problem
• Construction of the half-line potential from the Jost function
• On the determination of a differential equation from its spectral function
• Analytic properties of the scattering matrix
• Construction of potentials from resonance parameters
• Reconstruction Techniques for Classical Inverse Sturm-Liouville Problems
• A uniqueness theorem for inverse eigenparameter dependent Sturm - Liouville problems
• Eigenparameter Dependent Inverse Sturm-Liouville Problems
• ON THE INVERSE RESONANCE PROBLEM
• Inverse Spectral Problems for Sturm-Liouville Equations with Eigenparameter Dependent Boundary Conditions
• Inverse nodal problems for Sturm - Liouville equations with eigenparameter dependent boundary conditions
• A hierarchy of Sturm-Liouville problems