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 | 91 | 1997 |

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 | 90 | 1998 |

An inverse boundary value problem for the heat equation: the Neumann condition R Chapko, R Kress, JR Yoon Inverse problems 15 (4), 1033, 1999 | 74 | 1999 |

A hybrid method for inverse boundary value problems in potential theory. R Chapko, R Kress Journal of Inverse & Ill-Posed Problems 13 (1), 2005 | 56 | 2005 |

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 | 49 | 2000 |

On a quadrature method for a logarithmic integral equation of the first kind R Chapko, R Kress Contributions in numerical mathematics, 127-140, 1993 | 47 | 1993 |

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 | 46 | 2000 |

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 | 30 | 2012 |

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 | 28 | 2018 |

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 | 27 | 2014 |

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 | 26 | 2008 |

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 | 26 | 2008 |

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 | 21 | 2018 |

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 | 20 | 1999 |

The inverse scattering problem by an elastic inclusion R Chapko, D Gintides, L Mindrinos Advances in Computational Mathematics 44, 453-476, 2018 | 19 | 2018 |

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 | 19 | 2002 |

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 | 18 | 2004 |

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 | 13 | 2012 |

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 | 13 | 2004 |

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 | 13 | 1990 |