Wavelet and Fourier methods for solving the sideways heat equation L Elden, F Berntsson, T Reginska SIAM Journal on Scientific Computing 21 (6), 2187-2205, 2000 | 333 | 2000 |

Numerical solution of a Cauchy problem for the Laplace equation F Berntsson, L Eldén Inverse Problems 17 (4), 839, 2001 | 147 | 2001 |

A spectral method for solving the sideways heat equation F Berntsson Inverse Problems 15 (4), 891, 1999 | 89 | 1999 |

An alternating iterative procedure for the Cauchy problem for the Helmholtz equation F Berntsson, VA Kozlov, L Mpinganzima, BO Turesson Inverse Problems in Science and Engineering 22 (1), 45-62, 2014 | 54 | 2014 |

Estimation of the transient surface temperature and heat flux of a steel slab using an inverse method P Wikström, W Blasiak, F Berntsson Applied Thermal Engineering 27 (14-15), 2463-2472, 2007 | 51 | 2007 |

Seismically constrained thermo-rheological structure of the eastern Tibetan margin: Implication for lithospheric delamination L Chen, F Berntsson, Z Zhang, P Wang, J Wu, T Xu Tectonophysics 627, 122-134, 2014 | 41 | 2014 |

Transient inverse heat conduction problem of quenching a hollow cylinder by one row of water jets M Jahedi, F Berntsson, J Wren, B Moshfegh International Journal of Heat and Mass Transfer 117, 748-756, 2018 | 34 | 2018 |

A stability estimate for a Cauchy problem for an elliptic partial differential equation L Eldén, F Berntsson Inverse Problems 21 (5), 1643, 2005 | 32 | 2005 |

Iterative Tikhonov regularization for the Cauchy problem for the Helmholtz equation F Berntsson, VA Kozlov, L Mpinganzima, BO Turesson Computers & Mathematics with Applications 73 (1), 163-172, 2017 | 26 | 2017 |

An accelerated alternating procedure for the Cauchy problem for the Helmholtz equation F Berntsson, VA Kozlov, L Mpinganzima, BO Turesson Computers & Mathematics with Applications 68 (1-2), 44-60, 2014 | 26 | 2014 |

A one-dimensional model of viscous blood flow in an elastic vessel F Berntsson, M Karlsson, V Kozlov, SA Nazarov Applied Mathematics and Computation 274, 125-132, 2016 | 25 | 2016 |

An inverse heat conduction problem and improving shielded thermocouple accuracy F Berntsson Numerical Heat Transfer, Part A: Applications 61 (10), 754-763, 2012 | 21 | 2012 |

Coefficient identification in PDEs applied to image inpainting F Berntsson, G Baravdish Applied Mathematics and Computation 242, 227-235, 2014 | 20 | 2014 |

Estimation of the transient surface temperature, heat flux and effective heat transfer coefficient of a slab in an industrial reheating furnace by using an inverse method P Wikström, W Blasiak, F Berntsson steel research international 78 (1), 63-70, 2007 | 18 | 2007 |

A one dimensional model of blood flow through a curvilinear artery F Berntsson, A Ghosh, VA Kozlov, SA Nazarov Applied Mathematical Modelling 63, 633-643, 2018 | 14 | 2018 |

Robin–Dirichlet algorithms for the Cauchy problem for the Helmholtz equation F Berntsson, V Kozlov, L Mpinganzima, BO Turesson Inverse Problems in Science and Engineering 26 (7), 1062-1078, 2018 | 14 | 2018 |

Sequential solution of the sideways heat equation by windowing of the data F Berntsson Inverse Problems in Engineering 11 (2), 91-103, 2003 | 14 | 2003 |

Boundary identification for an elliptic equation F Berntsson Inverse problems 18 (6), 1579, 2002 | 13 | 2002 |

Numerical solution of an inverse heat conduction problem F Berntsson Department of Mathematics, Linköpings universitet, 1998 | 13 | 1998 |

Numerical methods for solving a non-characteristic Cauchy problem for a parabolic equation F Berntsson | 11 | 2001 |