Kira V. Khmelnytskaya

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All published works

Action	Title	Year	Authors
+	Reconstruction techniques for quantum trees	2024	Sergei Avdonin Kira V. Khmelnytskaya Vladislav V. Kravchenko
+ PDF Chat	Neumann series of Bessel functions for inverse coefficient problems	2023	F. Ayca Cetinkaya Kira V. Khmelnytskaya Vladislav V. Kravchenko
+ PDF Chat	Synthesis of a quantum tree Weyl matrix	2023	Sergei Avdonin Kira V. Khmelnytskaya Vladislav V. Kravchenko
+	Recovery of a potential on a quantum star graph from Weyl's matrix	2023	Sergei Avdonin Kira V. Khmelnytskaya Vladislav V. Kravchenko
+	Reconstruction techniques for quantum trees	2023	Sergei Avdonin Kira V. Khmelnytskaya Vladislav V. Kravchenko
+	Synthesis of a quantum tree Weyl matrix	2023	Sergei Avdonin Kira V. Khmelnytskaya Vladislav V. Kravchenko
+ PDF Chat	Recovery of Inhomogeneity from Output Boundary Data	2022	Vladislav V. Kravchenko Kira V. Khmelnytskaya F. Ayca Cetinkaya
+	Recovery of a potential on a quantum star graph from Weyl's matrix	2022	Sergei Avdonin Kira V. Khmelnytskaya Vladislav V. Kravchenko
+ PDF Chat	Time-Dependent One-Dimensional Electromagnetic Wave Propagation in Inhomogeneous Media: Exact Solution in Terms of Transmutations and Neumann Series of Bessel Functions	2020	Kira V. Khmelnytskaya Vladislav V. Kravchenko Sergii M. Torba
+ PDF Chat	A Practical Method for Solving the Inverse Quantum Scattering Problem on a Half Line	2020	Alexey Karapetyants Kira V. Khmelnytskaya Vladislav V. Kravchenko
+	A representation for Jost solutions and an efficient method for solving the spectral problem on the half line	2019	Briceyda B. Delgado Kira V. Khmelnytskaya Vladislav V. Kravchenko
+	Time-dependent one-dimensional electromagnetic wave propagation in inhomogeneous media: exact solution in terms of transmutations and Neumann series of Bessel functions	2019	Kira V. Khmelnytskaya Vladislav V. Kravchenko Sergii M. Torba
+	The transmutation operator method for efficient solution of the inverse Sturm‐Liouville problem on a half‐line	2019	Briceyda B. Delgado Kira V. Khmelnytskaya Vladislav V. Kravchenko
+ PDF Chat	A representation of the transmutation kernels for the Schrödinger operator in terms of eigenfunctions and applications	2019	Kira V. Khmelnytskaya Vladislav V. Kravchenko Sergii M. Torba
+	Time-dependent one-dimensional electromagnetic wave propagation in inhomogeneous media: exact solution in terms of transmutations and Neumann series of Bessel functions	2019	Kira V. Khmelnytskaya Vladislav V. Kravchenko Sergii M. Torba
+	A representation of the transmutation kernels for the Schr\"odinger operator in terms of eigenfunctions and applications	2018	Kira V. Khmelnytskaya Vladislav V. Kravchenko Sergii M. Torba
+	A representation of the transmutation kernels for the Schrödinger operator in terms of eigenfunctions and applications	2018	Kira V. Khmelnytskaya Vladislav V. Kravchenko Sergii M. Torba
+	Transmutation operators: construction and applications	2017	Vladislav V. Kravchenko Sergii M. Torba Kira V. Khmelnytskaya
+ PDF Chat	Modulated electromagnetic fields in inhomogeneous media, hyperbolic pseudoanalytic functions, and transmutations	2016	Kira V. Khmelnytskaya Vladislav V. Kravchenko Sergii M. Torba
+ PDF Chat	Spectral parameter power series method for discontinuous coefficients	2014	Herminio Blancarte Hugo M. Campos Kira V. Khmelnytskaya
+ PDF Chat	Eigenvalue problems, spectral parameter power series, and modern applications	2014	Kira V. Khmelnytskaya Vladislav V. Kravchenko H. C. Rosu
+	Spectral parameter power series method for discontinuous coefficients	2014	Herminio Blancarte Hugo M. Campos Kira V. Khmelnytskaya
+	Spectral parameter power series method for discontinuous coefficients	2014	Herminio Blancarte Hugo M. Campos Kira V. Khmelnytskaya
+	Spectral parameter power series for fourth-order Sturm–Liouville problems	2012	Kira V. Khmelnytskaya Vladislav V. Kravchenko Jesús A. Baldenebro-Obeso
+	Wave polynomials, transmutations and Cauchy’s problem for the Klein–Gordon equation	2012	Kira V. Khmelnytskaya Vladislav V. Kravchenko Sergii M. Torba Sébastien Tremblay
+ PDF Chat	Bloch Solutions of Periodic Dirac Equations in SPPS Form	2012	Kira V. Khmelnytskaya H. C. Rosu
+ PDF Chat	Shifted Riccati Procedure: Application to Conformal Barotropic FRW Cosmologies	2011	H. C. Rosu Kira V. Khmelnytskaya
+	Eigenvalue problems, spectral parameter power series, and modern applications	2011	Kira V. Khmelnytskaya Vladislav V. Kravchenko H. C. Rosu
+	The supersymmetric parametric oscillators originating from a constant shift of the harmonic oscillator Riccati solution	2010	H. C. Rosu Kira V. Khmelnytskaya
+ PDF Chat	Spectral parameter power series representation for Hill’s discriminant	2010	Kira V. Khmelnytskaya H. C. Rosu
+	Parametric oscillators from factorizations employing a constant-shifted Riccati solution of the harmonic oscillator	2010	H. C. Rosu Kira V. Khmelnytskaya
+	Bloch Solutions of Periodic Dirac Equations in SPPS Form	2010	Kira V. Khmelnytskaya H. C. Rosu
+ PDF Chat	Periodic Sturm–Liouville problems related to two Riccati equations of constant coefficients	2009	Kira V. Khmelnytskaya H. C. Rosu Augusto González
+	Reconstruction of potentials in quantum dots and other small symmetric structures	2009	Kira V. Khmelnytskaya T.V. Torchynska
+ PDF Chat	On the solution of the static Maxwell system in axially symmetric inhomogeneous media	2009	Kira V. Khmelnytskaya Vladislav V. Kravchenko Héctor Oviedo
+	Efficient calculation of the reflectance and transmittance of finite inhomogeneous layers	2009	Raúl Castillo-Pérez Kira V. Khmelnytskaya Vladislav V. Kravchenko Héctor Oviedo
+	Biquaternions for analytic and numerical solution of equations of electrodynamics	2009	Kira V. Khmelnytskaya Vladislav V. Kravchenko
+	Biquaternions for analytic and numerical solution of equations of electrodynamics	2009	Kira V. Khmelnytskaya Vladislav V. Kravchenko
+ PDF Chat	An amplitude-phase (Ermakov–Lewis) approach for the Jackiw–Pi model of bilayer graphene	2008	Kira V. Khmelnytskaya H. C. Rosu
+	Solution of the static Maxwell system for inhomogeneous media using generalized analytic function theory	2008	Kira V. Khmelnytskaya Vladislav V. Kravchenko Héctor Oviedo
+ PDF Chat	On a complex differential Riccati equation	2008	Kira V. Khmelnytskaya Vladislav V. Kravchenko
+	On the solution of the static Maxwell system in axially symmetric inhomogeneous media	2007	Kira V. Khmelnytskaya Vladislav V. Kravchenko Héctor Oviedo
+	On the solution of the static Maxwell system in axially symmetric inhomogeneous media	2007	Kira V. Khmelnytskaya Vladislav V. Kravchenko Héctor Oviedo
+ PDF Chat	On a quaternionic Maxwell equation for the time-dependent electromagnetic field in a chiral medium	2004	Sergei M. Grudsky Kira V. Khmelnytskaya Vladislav V. Kravchenko
+ PDF Chat	Quaternionic Fundamental Solutions for Electromagnetic Scattering Problems and Application	2003	Kira V. Khmelnytskaya Vladislav V. Kravchenko Vladimir Rabinovich
+	Quaternionic fundamental solutions for the numerical analysis of electromagnetic scattering problems	2002	Kira V. Khmelnytskaya Vladislav V. Kravchenko Vladimir Rabinovich
+	Quaternionic Integral Representations for Electromagnetic Fields in Chiral Media	2001	Kira V. Khmelnytskaya Vladislav V. Kravchenko Héctor Oviedo

Common Coauthors

Coauthor	Papers Together
Vladislav V. Kravchenko	35
Sergii M. Torba	9
H. C. Rosu	8
Sergei Avdonin	6
Héctor Oviedo	6
Hugo M. Campos	3
Herminio Blancarte	3
H. C. Rosu	2
F. Ayca Cetinkaya	2
Briceyda B. Delgado	2
Vladimir Rabinovich	2
Raúl Castillo-Pérez	1
Jesús A. Baldenebro-Obeso	1
Sergei M. Grudsky	1
Sébastien Tremblay	1
Alexey Karapetyants	1
Augusto González	1
T.V. Torchynska	1

Commonly Cited References

Action	Title	Year	Authors	# of times referenced
+ PDF Chat	Spectral parameter power series for Sturm–Liouville problems	2009	Vladislav V. Kravchenko R. Michael Porter	13
+	A representation for solutions of the Sturm–Liouville equation	2008	Vladislav V. Kravchenko	12
+	Inverse Sturm-Liouville Problems	1987	B. M. Levitan	11
+ PDF Chat	Representation of solutions to the one-dimensional Schrödinger equation in terms of Neumann series of Bessel functions	2017	Vladislav V. Kravchenko L. Navarro Sergii M. Torba	8
+	Applied Pseudoanalytic Function Theory	2009	Vladislav V. Kravchenko	7
+	Analytic approximation of transmutation operators and applications to highly accurate solution of spectral problems	2014	Vladislav V. Kravchenko Sergii M. Torba	7
+	On a method for solving the inverse Sturm–Liouville problem	2019	Vladislav V. Kravchenko	6
+	Transmutations, L-bases and complete families of solutions of the stationary Schrödinger equation in the plane	2012	Hugo M. Campos Vladislav V. Kravchenko Sergii M. Torba	6
+ PDF Chat	Sturm-Liouville Operators and Applications	2011	V. А. Marchenko	6
+ PDF Chat	Transmutations for Darboux transformed operators with applications	2012	Vladislav V. Kravchenko Sergii M. Torba	6
+	Inverse spectral problem for the Sturm Liouville equation	2003	B. M. Brown Valentin S. Samko Ian Knowles Marco Marletta	5
+	Dispersion equation and eigenvalues for the Zakharov-Shabat system using spectral parameter power series	2011	Vladislav V. Kravchenko Ulises Velasco-García	5
+	An Introduction to Inverse Scattering and Inverse Spectral Problems	1997	Khosrow Chadan David Colton Lassi Païvärinta William Rundell	5
+	Theory of pseudo-analytic functions	1953	Lipman Bers	5
+ PDF Chat	Spectrum completion and inverse Sturm–Liouville problems	2022	Vladislav V. Kravchenko	5
+	Dispersion equation and eigenvalues for quantum wells using spectral parameter power series	2011	Raúl Castillo-Pérez Vladislav V. Kravchenko Héctor Oviedo Vladimir Rabinovich	5
+	Series of Bessel and Kummer-Type Functions	2017	Árpád Baricz Dragana Jankov Maširević Tibor K. Pogány	4
+	Complete families of solutions for the Dirac equation: an application of bicomplex pseudoanalytic function theory and transmutation operators	2011	Hugo M. Campos Vladislav V. Kravchenko Luis M. Méndez	4
+ PDF Chat	Neumann series of Bessel functions	1948	J. Ernest Wilkins	4
+	Applied quaternionic analysis	2003	Vladislav V. Kravchenko	4
+ PDF Chat	Periodic Sturm–Liouville problems related to two Riccati equations of constant coefficients	2009	Kira V. Khmelnytskaya H. C. Rosu Augusto González	4
+	Quaternionic and Clifford calculus for physicists and engineers	1997	Klaus Gürlebeck Wolfgang Sprößig	4
+ PDF Chat	Inverse problems for quantum trees	2008	Sergei Avdonin Pavel Kurasov	4
+ PDF Chat	Construction of Transmutation Operators and Hyperbolic Pseudoanalytic Functions	2014	Vladislav V. Kravchenko Sergii M. Torba	4
+	Sturm-Liouville Operators and Applications	1986	V. А. Marchenko	4
+	Integral Representations For Spatial Models of Mathematical Physics	2020	Vladislav V. Kravchenko Michael Shapiro	4
+	Clifford algebras and Maxwell's equations in Lipschitz domains	1999	Alan McIntosh Marius Mitrea	4
+	A Treatise on the Theory of Bessel Functions.	1923	Matthew Porter G. N. Watson	4
+	Direct and Inverse Sturm-Liouville Problems	2020	Vladislav V. Kravchenko	4
+ PDF Chat	Spectral parameter power series for perturbed Bessel equations	2013	Raúl Castillo-Pérez Vladislav V. Kravchenko Sergii M. Torba	4
+ PDF Chat	Finite-gap systems, tri-supersymmetry and self-isospectrality	2008	Francisco Correa Vít Jakubský Mikhail S. Plyushchay	4
+ PDF Chat	A direct method for solving inverse Sturm–Liouville problems*	2020	Vladislav V. Kravchenko Sergii M. Torba	4
+ PDF Chat	The classical harmonic oscillator with Dirac-like parameters and possible applications	2004	H. C. Rosu O. Cornejo-Pérez R. López‐Sandoval	4
+	Hyperbolic Calculus	1998	Adilson E. Motter M. A. F. Rosa	4
+	Transmutations, Singular and Fractional Differential Equations with Applications to Mathematical Physics	2020		4
+ PDF Chat	On a factorization of second-order elliptic operators and applications	2006	Vladislav V. Kravchenko	4
+	The spectral theory of periodic differential equations	1973	M. S. P. Eastham	4
+	Quaternionic Integral Representations for Electromagnetic Fields in Chiral Media	2001	Kira V. Khmelnytskaya Vladislav V. Kravchenko Héctor Oviedo	4
+ PDF Chat	A finite element method for quantum graphs	2017	Mario Arioli Michele Benzi	3
+ PDF Chat	Construction of the half-line potential from the Jost function	2004	Tuncay Aktosun	3
+	On a method for solving the inverse scattering problem on the line	2019	Vladislav V. Kravchenko	3
+	Numerical Solution of Sturm-Liouville Problems	1994	John D. Pryce	3
+	Efficient calculation of the reflectance and transmittance of finite inhomogeneous layers	2009	Raúl Castillo-Pérez Kira V. Khmelnytskaya Vladislav V. Kravchenko Héctor Oviedo	3
+	Inverse spectral problem for quantum graphs	2005	Pavel Kurasov Marlena Nowaczyk	3
+	A new formulation of classical electrodynamics	1976	K. Imaeda	3
+	Linear and quasilinear complex equations of hyperbolic and mixed type	2002	Guo Chun Wen	3
+	Recent developments in applied pseudoanalytic function theory	2006	Vladislav V. Kravchenko	3
+	The MATLAB ODE Suite	1997	L. F. Shampine Mark W. Reichelt	3
+	Time-Harmonic Electromagnetic Fields in Chiral Media	1989	H Araki J Kyoto K. W. Ehlers Zsrich Hepp D Kippenhahn Bures-Sur-Yvette Ruelle J Weidenmsiler Karlsruhe Wess J. Zittartz W Beiglb ck	3
+	Complete Families of Solutions for the Dirac Equation Using Bicomplex Function Theory and Transmutations	2012	Hugo M. Campos Vladislav V. Kravchenko Luis M. Méndez	3