Departament
of Numerical
Mathematics
Contact information
Curriculum Vitae
Selected Scientific Publication
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Professor, Dr.
Roman Chapko
Selected Scientific Publication
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Chapko R., Kress R., Yoon J.-R.
On the numerical solution of an inverse boundary value
problem for the heat equation
// Inverse Problems.-
1998.- 14.- No 4.- P. 853-867.
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Chapko R.
On the numerical solution of direct and inverse problems
for the heat equation in a semi-infinite region
// Journal of Computational and Applied Mathematics.-
1999.- 108.- No 1-2.- P. 41-55.
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Chapko R., Kress R., Yoon J.-R.
An inverse boundary value problem for the heat equation:
the Neumann condition
// Inverse Problems.-
1999.- 15.- No 4.- P. 1033-1046.
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Gavrilyuk I., Makarov V., Chapko R.
On the numerical solution of linear evolution problems with
an integral operator coefficient
// Journal of Integral Equations and Applications.-
1999.- 11.- No1.- P. 37-56.
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Chapko R., Kress R.
On the numerical solution of initial boundary value problems
by the Laguerre transformation and boundary integral equations
// In: Integral and Integrodifferential Equations:
Theory, Methods and Applications. Series in Mathematical
Analysis and Applications. Vol. 2 (Agarwal, O’Regan eds.).
Gordon and Breach Science Publishers. Amsterdam.-
2000.- P. 55-69.
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Chapko R., Kress R., Mönch L.
On the numerical solution of a hypersingular integral equation
for elastic scattering from a planar crack
// IMA Journal for Numerical Analysis.-
Vol. 20.- 2000.- P. 601-619.
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Chapko R.
On the combination of Rothe’s method and boundary integral
equations for the nonstationary Stokes equation
// Journal of Integral Equations and
Applications.-
Vol. 13.- 2001.- P. 99-116.
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Chapko R.
On the numerical solution of the hyperbolic evolution problem
on closed curve
// Zeitschrift fuer Angewandte Mathematik und Mechanik.-
2001.- 81 (Suppl.3).- P. 757-758.
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Chapko R.
On an integral equation method for the numerical solution
of an evolution problem in a channel with free boundary
// Ukrainian Mathematical Congress.- 2001.
Numerical Mathematics and Mathematical Problems of Mechanics.
Section 8.- Kyiv, 2002.- P. 24-35.
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Chapko R.
On the combination of some semi-discretization methods and
boundary integral equations for the numerical solution of
initial boundary value problems
// Proc. Appl. Math. Mech.-
2002.- 1.- P. 424-425.
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Chapko R.
On the numerical solution of the first initial boundary
value problems for heat equation in the torus case
// Journal of Engineering Mathematics.-
2002.- 43.- P. 75-87.
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Chapko R.
The numerical solution of the evolution problem of the
second order in time on the closed smooth boundary
// Journal of Computational and Applied Mathematics.-
2002.- 145.- P. 493-503.
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Chapko R.
On the numerical solution of a boundary value problem in
the plane elasticity for a double-connected domain
// Mathematics and Computers in Simulation.-
2004.- 66.- P. 425-438.
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Chapko R.
An integral equation method for the numerical analysis
of gravity waves in a channel with free boundary
// Applied Mathematics and Computation.-
2004.- 159.- P. 247-266.
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Chapko R., Kügler Ph.
A comparison of the Landweber method and the Gauss-Newton
method for an inverse parabolic boundary value problem
// Journal of Computational and Applied Mathematics.-
2004.- 169.- P. 183-196.
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Chapko R., Kress R.
A hybrid method for inverse boundary value problems
in potential theory
// Journal of Ill-Posed and Inverse Problems.-
2005.- 13.- P. 1-14.
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Chapko R., Vintonyak N.
On some numerical methods for an inverse potential problem
in 2D semi infinite regions
// Proc. Appl. Math. Mech.-2006.- 6.- P. 729-730.
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Chapko R., Vintonyak N.
A hybrid method for inverse boundary value problems
for an inclusion in semi-infinite two-dimensional domains
// Journal of Integral Equations and Applications.-
Vol. 19.- 2007.- P. 311-333.
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Chapko R., Datsiv G.
The numerical solution of the axially symmetric linear
sloshing problem by the boundary integral equation method
// Journal of Integral Equations and Applications.-
20.- 2008.- P. 409-436.
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Chapko R., Johansson B.T.
An alternanting boundary integral based method for a Cauchy
problem for the Laplace equation in semi-infinite regions
// Inverce Problems and Imaging.-
2.- 2008.- P. 317-333.
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Chapko R., Johansson B.T.
An alternating potential based approach for a Cauchy problem
for the Laplace equation in a planar domain with a cut
// Computational Methods in Applied Mathematics.-
2008.- 8.- P. 315-335.
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Chapko R.
On a hybrid method for shape reconstruction of buried object
in an elastostatic half plane
// Inverce Problems and Imaging.-
2009.- 3.- P. 199-210.
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Chapko R., Johansson B.T.
On some iterative methods based on boundary integrals for
elliptic Cauchy problems in semi-infinite domains
// Electronic Journal of Boundary Elements.-
2009.- 7.- P. 1-12.
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Chapko R., Johansson B.T.
An alternating boundary integral based method for a Cauchy
problem for the Laplace equation in a quadrant
// Inverse Problems in Science and Engineering.-
2009.- 17.- P. 871-883.
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Chapko R., Johansson B.T.,Sobeyko Î.
On the numerical solution of mixed boundary value problems
in an elastostatic half-plane with a bounded inclusion
// In Proceeding of VII UK Conference on Boundary Integral
Methods, University of Nottingham.-
2009.- P. 57-65.
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Chapko R., Vintonyak N.
On the convergence analysis of the hybrid method for
an inverse boundary value potential problem
// Matematychni studii.-
2009.- 23.- Ñ.56-63.
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Chapko R., Johansson B.T.
An alternating boundary integral based method for inverse
potential flow around immersed bodies
// Journal of Numerical and Applied Mathematics.-
2009.- 97.- P. 10-25.
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Chapko R., Vavrychuk V.
On the numerical solution of a mixed initial boundary
value problem for the heat equation in a double-connected
planar domain
// Journal of Numerical and Applied Mathematics.-
2009.- 97.- P. 26-38.
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