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Roman Chapko
Roman Chapko
Professor of Numerical Mathematics, University of Lviv
Verified email at lnu.edu.ua
Title
Cited by
Cited by
Year
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
911997
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
901998
An inverse boundary value problem for the heat equation: the Neumann condition
R Chapko, R Kress, JR Yoon
Inverse problems 15 (4), 1033, 1999
741999
A hybrid method for inverse boundary value problems in potential theory.
R Chapko, R Kress
Journal of Inverse & Ill-Posed Problems 13 (1), 2005
562005
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
492000
On a quadrature method for a logarithmic integral equation of the first kind
R Chapko, R Kress
Contributions in numerical mathematics, 127-140, 1993
471993
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
462000
On the numerical solution of a Cauchy problem for the Laplace equation via a direct integral equation approach
R Chapko, BT Johansson
Inverse Problems and Imaging 6 (1), 25-38, 2012
302012
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
282018
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
272014
An alternating boundary integral based method for a Cauchy problem for the Laplace equation in semi-infinite regions
R Chapko, BT Johansson
Inverse Problems and Imaging 2 (3), 317-333, 2008
262008
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 8 (4), 315-335, 2008
262008
An integral equation method for the numerical solution of a Dirichlet problem for second-order elliptic equations with variable coefficients
A Beshley, R Chapko, BT Johansson
Journal of Engineering Mathematics 112, 63-73, 2018
212018
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
201999
The inverse scattering problem by an elastic inclusion
R Chapko, D Gintides, L Mindrinos
Advances in Computational Mathematics 44, 453-476, 2018
192018
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, 75-87, 2002
192002
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
182004
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
On the numerical solution of a boundary value problem in the plane elasticity for a double-connected domain
R Chapko
Mathematics and Computers in Simulation 66 (4-5), 425-438, 2004
132004
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
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