Found 54 Documents (Results 1–54)
Highly accurate calculation of higher energy eigenvalues for the radial Schrödinger eigenproblems. (English) Zbl 1540.65253
Recovery of a potential on a quantum star graph from Weyl’s matrix. (English) Zbl 1530.34024
Reviewer: Natalia Bondarenko (Saratov)
Strands: new efficient technique for solving time-independent two-dimensional Schrödinger equations accurately. (English) Zbl 07801646
The foundations of spectral computations via the solvability complexity index hierarchy. (English) Zbl 07774915
Improvements to the computation of eigenvalues and eigenfunctions of two-dimensional Schrödinger equations by constant perturbation based algorithms. (English) Zbl 1502.65178
The fast and accurate computation of eigenvalues and eigenfunctions of time-independent one-dimensional Schrödinger equations. (English) Zbl 1520.65059
Periodic solutions for a class of differential equation with delays depending on state. (English) Zbl 1454.34101
MSC:
34K13
A family of isospectral fourth order Sturm-Liouville problems and equivalent beam equations. (English) Zbl 1395.34032
Representation of solutions to the one-dimensional Schrödinger equation in terms of Neumann series of Bessel functions. (English) Zbl 1426.34025
Inverse transmission eigenvalue problems with the twin-dense nodal subset. (English) Zbl 1368.34029
Reviewer: Chuan-Fu Yang (Nanjing)
An efficient method to approximate eigenfunctions and high-index eigenvalues of regular Sturm-Liouville problems. (English) Zbl 1410.65276
Reprint of “Variable-step finite difference schemes for the solution of Sturm-Liouville problems”. (English) Zbl 1329.65162
Numerical solution of Sturm-Liouville problems via Fer streamers. (English) Zbl 1331.65108
Reviewer: Mahmoud Annaby (Giza)
Inverse eigenvalue problem for a simple star graph. (English) Zbl 1325.34022
Reviewer: Vjacheslav Yurko (Saratov)
Variable-step finite difference schemes for the solution of Sturm-Liouville problems. (English) Zbl 1304.65181
Commun. Nonlinear Sci. Numer. Simul. 20, No. 3, 641-649 (2015); reprint ibid. 21, No. 1-3, 12-21 (2015).
The accurate numerical solution of the Schrödinger equation with an explicitly time-dependent Hamiltonian. (English) Zbl 1348.35212
Modified spectral parameter power series representations for solutions of Sturm-Liouville equations and their applications. (English) Zbl 1334.34026
An exponentially convergent functional-discrete method for solving Sturm-Liouville problems with a potential including the Dirac \(\delta\)-function. (English) Zbl 1302.65172
Boundary value methods for the reconstruction of Sturm-Liouville potentials. (English) Zbl 1309.65088
On the heat equation with variable properties (applying a WKB method involving turning points). (English) Zbl 1255.65204
On CP, LP and other piecewise perturbation methods for the numerical solution of the Schrödinger equation. (English) Zbl 1291.65234
Solving Sturm-Liouville problems by piecewise perturbation methods, revisited. (English) Zbl 1219.65075
Some new uses of the \(\eta _m(Z)\) functions. (English) Zbl 1205.65129
MSC:
65D20
Mapped barycentric Chebyshev differentiation matrix method for the solution of regular Sturm-Liouville problems. (English) Zbl 1202.65101
Numerical solution of the inverse spectral problem for Bessel operators. (English) Zbl 1209.65081
Reviewer: Raffaella Pavani (Milano)
Applying numerical continuation to the parameter dependence of solutions of the Schrödinger equation. (English) Zbl 1190.65190
Pseudospectral methods for solving an equation of hypergeometric type with a perturbation. (English) Zbl 1189.65150
Efficient computation of high index Sturm-Liouville eigenvalues for problems in physics. (English) Zbl 1198.65124
Numerical approximation of characteristic values of partial retarded functional differential equations. (English) Zbl 1175.65115
Reviewer: Francisco Pérez Acosta (La Laguna)
Boundary value methods as an extension of Numerov’s method for Sturm-Liouville eigenvalue estimates. (English) Zbl 1162.65373
MSC:
65L15
Timely drug delivery from controlled-release devices: dynamic analysis and novel design concepts. (English) Zbl 1157.92316
A numerical procedure to solve the multichannel Schrödinger eigenvalue problem. (English) Zbl 1196.81108
Numerical methods for the eigenvalue determination of second-order ordinary differential equations. (English) Zbl 1122.65068
Exponentially-fitted Numerov methods. (English) Zbl 1110.65071
Reviewer: Seenith Sivasundaram (Daytona Beach)
Solution of the Schrödinger equation by a high order perturbation method based on a linear reference potential. (English) Zbl 1196.81127
MSC:
81Q15
Solution of the Schrödinger equation over an infinite integration interval by perturbation methods, revisited. (English) Zbl 1196.81126
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