[图书][B] Direct and inverse Sturm-Liouville problems: A method of solution
VV Kravchenko - 2020 - books.google.com
This book provides an introduction to the most recent developments in the theory and
practice of direct and inverse Sturm-Liouville problems on finite and infinite intervals. A …
practice of direct and inverse Sturm-Liouville problems on finite and infinite intervals. A …
[图书][B] Methods of mathematical physics: classical and modern
AN Karapetyants, VV Kravchenko - 2022 - books.google.com
This textbook provides a thorough overview of mathematical physics, highlighting classical
topics as well as recent developments. Readers will be introduced to a variety of methods …
topics as well as recent developments. Readers will be introduced to a variety of methods …
Spectral parameter power series for perturbed Bessel equations
A spectral parameter power series (SPPS) representation for regular solutions of singular
Bessel type Sturm–Liouville equations with complex coefficients is obtained as well as an …
Bessel type Sturm–Liouville equations with complex coefficients is obtained as well as an …
[HTML][HTML] Analytic approximation of transmutation operators and applications to highly accurate solution of spectral problems
VV Kravchenko, SM Torba - Journal of computational and applied …, 2015 - Elsevier
A method for approximate solution of spectral problems for Sturm–Liouville equations based
on the construction of the Delsarte transmutation operators is presented. In fact the problem …
on the construction of the Delsarte transmutation operators is presented. In fact the problem …
Analysis of graded-index optical fibers by the spectral parameter power series method
The spectral parameter power series (SPPS) method is a recently introduced technique
(Kravchenko 2008 Complex Var. Elliptic Equ. 53 775–89, Kravchenko and Porter 2010 …
(Kravchenko 2008 Complex Var. Elliptic Equ. 53 775–89, Kravchenko and Porter 2010 …
Modified spectral parameter power series representations for solutions of Sturm–Liouville equations and their applications
VV Kravchenko, SM Torba - Applied Mathematics and Computation, 2014 - Elsevier
Spectral parameter power series (SPPS) representations for solutions of Sturm–Liouville
equations proved to be an efficient practical tool for solving corresponding spectral and …
equations proved to be an efficient practical tool for solving corresponding spectral and …
Eigenvalues and eigenfunctions of fourth-order Sturm-Liouville problems using Bernoulli series with Chebychev collocation points
A collocation method based on Bernoulli polynomial is developed to compute the
eigenvalues and eigenfunctions of some known fourth-order Sturm-Liouville problems …
eigenvalues and eigenfunctions of some known fourth-order Sturm-Liouville problems …
Spectral parameter power series analysis of isotropic planarly layered waveguides
V Barrera-Figueroa, VV Kravchenko… - Applicable …, 2014 - Taylor & Francis
This work addresses the analysis of an isotropic planarly layered waveguide consisting of
an inhomogeneous core that is enclosed between two homogeneous layers forming the …
an inhomogeneous core that is enclosed between two homogeneous layers forming the …
Analytic approximation of transmutation operators and related systems of functions
VV Kravchenko, SM Torba - Boletin de la Sociedad Matemàtica Mexicana, 2016 - Springer
Abstract In Kravchenko and Torba (J Comput Appl Math 275: 1–26, 2015) a method for
approximate solution of Sturm–Liouville equations and related spectral problems was …
approximate solution of Sturm–Liouville equations and related spectral problems was …
Solutions of direct and inverse even-order Sturm-Liouville problems using Magnus expansion
U Perera, C Böckmann - Mathematics, 2019 - mdpi.com
In this paper Lie group method in combination with Magnus expansion is utilized to develop
a universal method applicable to solving a Sturm–Liouville problem (SLP) of any order with …
a universal method applicable to solving a Sturm–Liouville problem (SLP) of any order with …