Roman Chapko
Roman Chapko
Professor of Numerical Mathematics, University of Lviv
Потвърден имейл адрес: lnu.edu.ua
ЗаглавиеПозоваванияГодина
On the numerical solution of an inverse boundary value problem for the heat equation
R Chapko, R Kress, JR Yoon
Inverse Problems 14 (4), 853, 1998
781998
Rothe's method for the heat equation and boundary integral equations
R Chapko, R Kress
The Journal of Integral Equations and Applications, 47-69, 1997
711997
An inverse boundary value problem for the heat equation: the Neumann condition
R Chapko, R Kress, JR Yoon
Inverse problems 15 (4), 1033, 1999
661999
A hybrid method for inverse boundary value problems in potential theory
R Chapko, R Kress
Journal of Inverse and Ill-posed Problems jiip 13 (1), 27-40, 2005
512005
On a quadrature method for a logarithmic integral equation of the first kind
R Chapko, R Kress
Contributions in numerical mathematics, 127-140, 1993
421993
On the numerical solution of initial boundary value problems by the Laguerre transformation and boundary integral equations
R Chapko, R Kress
Integral and Integrodifferential Equations: Theory, Methods and Applications …, 2000
332000
On the numerical solution of a hypersingular integral equation for elastic scattering from a planar crack
R Chapko, R Kress, L Mönch
IMA journal of numerical analysis 20 (4), 601-619, 2000
282000
An alternating boundary integral based method for a Cauchy problem for the Laplace equation in semi-infinite regions
R Chapko, BT Johansson
Inverse Problems & Imaging 2 (3), 317, 2008
252008
On the use of an integral equation approach for the numerical solution of a Cauchy problem for Laplace equation in a doubly connected planar domain
R Chapko, B Tomas Johansson, Y Savka
Inverse problems in Science and Engineering 22 (1), 130-149, 2014
212014
On the numerical solution of a Cauchy problem for the Laplace equation via a direct integral equation approach
R Chapko, BT Johansson
Inverse Probl. Imaging 6 (1), 25-38, 2012
202012
On the numerical solution of direct and inverse problems for the heat equation in a semi-infinite region
R Chapko
Journal of computational and applied mathematics 108 (1-2), 41-55, 1999
171999
A comparison of the Landweber method and the Gauss–Newton method for an inverse parabolic boundary value problem
R Chapko, P Kügler
Journal of computational and applied mathematics 169 (1), 183-196, 2004
162004
On the numerical solution of the Dirichlet initial boundary-value problem for the heat equation in the case of a torus
R Chapko
Journal of engineering mathematics 43 (1), 75-87, 2002
142002
A direct integral equation method for a Cauchy problem for the Laplace equation in 3-dimensional semi-infinite domains
R Chapko, BT Johansson
CMES Comput. Model. Eng. Sci 85, 105-128, 2012
132012
The Chebyshev-Laguerre transformation and integral equations methods for initial boundary value problems for the telegraph equation
V Galazyuk, R Chapko
Dokl. Akad. Nauk UkrSSR 8, 11-14, 1990
131990
An alternating potential-based approach to the Cauchy problem for the Laplace equation in a planar domain with a cut
R Chapko, BT Johansson
Computational Methods in Applied Mathematics Comput. Methods Appl. Math. 8 …, 2008
112008
On the combination of Rothe's method and boundary integral equations for the nonstationary Stokes equation
R Chapko
The Journal of Integral Equations and Applications, 99-116, 2001
102001
A boundary integral equation method for numerical solution of parabolic and hyperbolic Cauchy problems
R Chapko, BT Johansson
Applied Numerical Mathematics 129, 104-119, 2018
92018
On the numerical solution of linear evolution problems with an integral operator coefficient
I Gavrilyuk, V Makarov, R Chapko
The Journal of Integral Equations and Applications, 37-56, 1999
91999
A direct boundary integral equation method for the numerical construction of harmonic functions in three-dimensional layered domains containing a cavity
R Chapko, BT Johansson, O Protsyuk
International Journal of Computer Mathematics 89 (11), 1448-1462, 2012
82012
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