English version

Departament
of Numerical
Mathematics


Contact information

Curriculum Vitae

Selected Scientific Publication



Professor, Dr.
Roman Chapko



Selected Scientific Publication

  1. 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.
  2. 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.
  3. 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.
  4. 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.
  5. 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, ORegan eds.). Gordon and Breach Science Publishers. Amsterdam.- 2000.- P. 55-69.
  6. 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.
  7. Chapko R. On the combination of Rothes method and boundary integral equations for the nonstationary Stokes equation // Journal of Integral Equations and Applications.- Vol. 13.- 2001.- P. 99-116.
  8. 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.
  9. 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.
  10. 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.
  11. 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.
  12. 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.
  13. 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.
  14. 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.
  15. 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.
  16. 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.
  17. 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.
  18. 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.
  19. 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.
  20. 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.
  21. 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.
  22. 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.
  23. 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.
  24. 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.
  25. Chapko R., Johansson B.T.,Sobeyko . 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.
  26. Chapko R., Vintonyak N. On the convergence analysis of the hybrid method for an inverse boundary value potential problem // Matematychni studii.- 2009.- 23.- .56-63.
  27. 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.
  28. 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.