Arbitrarily high-order accurate entropy stable essentially nonoscillatory schemes for systems of conservation laws US Fjordholm, S Mishra, E Tadmor SIAM Journal on Numerical Analysis 50 (2), 544-573, 2012 | 321 | 2012 |

Well-balanced and energy stable schemes for the shallow water equations with discontinuous topography US Fjordholm, S Mishra, E Tadmor Journal of Computational Physics 230 (14), 5587-5609, 2011 | 196 | 2011 |

Construction of approximate entropy measure-valued solutions for hyperbolic systems of conservation laws US Fjordholm, R Käppeli, S Mishra, E Tadmor Foundations of Computational Mathematics 17, 763-827, 2017 | 136 | 2017 |

On the computation of measure-valued solutions US Fjordholm, S Mishra, E Tadmor Acta numerica 25, 567-679, 2016 | 107 | 2016 |

ENO reconstruction and ENO interpolation are stable US Fjordholm, S Mishra, E Tadmor Foundations of Computational Mathematics 13, 139-159, 2013 | 80 | 2013 |

Energy preserving and energy stable schemes for the shallow water equations US Fjordholm, S Mishra, E Tadmor Foundations of Computational Mathematics, 93-139, 2009 | 72 | 2009 |

Entropy stable scheme on two-dimensional unstructured grids for Euler equations D Ray, P Chandrashekar, US Fjordholm, S Mishra Communications in Computational Physics 19 (5), 1111-1140, 2016 | 61 | 2016 |

Entropy conservative and entropy stable schemes for nonconservative hyperbolic systems MJ Castro, US Fjordholm, S Mishra, C Parés SIAM Journal on Numerical Analysis 51 (3), 1371-1391, 2013 | 56 | 2013 |

Statistical solutions of hyperbolic conservation laws: foundations US Fjordholm, S Lanthaler, S Mishra Archive for Rational Mechanics and Analysis 226, 809-849, 2017 | 52 | 2017 |

Statistical solutions and Onsager’s conjecture US Fjordholm, E Wiedemann Physica D: Nonlinear Phenomena 376, 259-265, 2018 | 44 | 2018 |

High-order accurate entropy stable numercial schemes for hyperbolic conservation laws US Fjordholm ETH Zurich, 2013 | 39 | 2013 |

Accurate numerical discretizations of non-conservative hyperbolic systems US Fjordholm, S Mishra ESAIM: Mathematical Modelling and Numerical Analysis 46 (1), 187-206, 2012 | 37 | 2012 |

High-order accurate, fully discrete entropy stable schemes for scalar conservation laws H Zakerzadeh, US Fjordholm IMA Journal of Numerical Analysis 36 (2), 633-654, 2016 | 36 | 2016 |

A sign preserving WENO reconstruction method US Fjordholm, D Ray Journal of Scientific Computing 68, 42-63, 2016 | 30 | 2016 |

Statistical solutions of hyperbolic systems of conservation laws: numerical approximation US Fjordholm, K Lye, S Mishra, F Weber Mathematical Models and Methods in Applied Sciences 30 (03), 539-609, 2020 | 28 | 2020 |

Numerical methods for conservation laws and related equations S Mishra, U Fjordholm, R Abgrall Lecture notes for Numerical Methods for Partial Differential Equations 57, 58, 2019 | 23 | 2019 |

Second-order convergence of monotone schemes for conservation laws US Fjordholm, S Solem SIAM Journal on Numerical Analysis 54 (3), 1920-1945, 2016 | 20 | 2016 |

Well-posedness theory for nonlinear scalar conservation laws on networks M Musch, US Fjordholm, NH Risebro Networks & Heterogeneous Media 17 (1), 101-128, 2022 | 16* | 2022 |

Numerical approximation of statistical solutions of scalar conservation laws US Fjordholm, K Lye, S Mishra SIAM Journal on Numerical Analysis 56 (5), 2989-3009, 2018 | 16 | 2018 |

Structure preserving finite volume methods for the shallow water equations US Fjordholm | 14 | 2009 |