Well-balanced and energy stable schemes for the shallow water equations with discontinuous topography. - Ulrik S. Fjordholm; Siddhartha Mishra; Eitan Tadmor (J. Comput. Phys., 2011)

Vorticity Preserving Finite Volume Schemes for the Shallow Water Equations. - Ulrik S. Fjordholm; Siddhartha Mishra (SIAM J. Sci. Comput., 2011)

Arbitrarily High-order Accurate Entropy Stable Essentially Nonoscillatory Schemes for Systems of Conservation Laws. - Ulrik S. Fjordholm; Siddhartha Mishra; Eitan Tadmor (SIAM J. Numer. Anal., 2012)

ENO Reconstruction and ENO Interpolation Are Stable. - Ulrik S. Fjordholm; Siddhartha Mishra; Eitan Tadmor (Found. Comput. Math., 2013)

Entropy Conservative and Entropy Stable Schemes for Nonconservative Hyperbolic Systems. - Manuel J. Castro; Ulrik S. Fjordholm; Siddhartha Mishra; Carlos Parés Madroñal (SIAM J. Numer. Anal., 2013)

On the computation of measure-valued solutions. - Ulrik S. Fjordholm; Siddhartha Mishra; Eitan Tadmor (Acta Numer., 2016)

A Sign Preserving WENO Reconstruction Method. - Ulrik S. Fjordholm; Deep Ray (J. Sci. Comput., 2016)

Second-Order Convergence of Monotone Schemes for Conservation Laws. - Ulrik S. Fjordholm; Susanne Solem (SIAM J. Numer. Anal., 2016)

Construction of Approximate Entropy Measure-Valued Solutions for Hyperbolic Systems of Conservation Laws. - Ulrik S. Fjordholm; Roger Käppeli; Siddhartha Mishra; Eitan Tadmor (Found. Comput. Math., 2017)

Numerical Approximation of Statistical Solutions of Scalar Conservation Laws. - Ulrik S. Fjordholm; Kjetil O. Lye; Siddhartha Mishra (SIAM J. Numer. Anal., 2018)

Statistical solutions of hyperbolic systems of conservation laws: numerical approximation. - Ulrik Skre Fjordholm; Kjetil O. Lye; Siddhartha Mishra; Franziska Weber (CoRR, 2019)

Convergence of second-order, entropy stable methods for multi-dimensional conservation laws. - Neelabja Chatterjee; Ulrik Skre Fjordholm (CoRR, 2019)

A second-order numerical method for the aggregation equations. - José A. Carrillo 001; Ulrik S. Fjordholm; Susanne Solem (Math. Comput., 2021)

Second-Order Accurate TVD Numerical Methods for Nonlocal Nonlinear Conservation Laws. - Ulrik S. Fjordholm; Adrian Montgomery Ruf (SIAM J. Numer. Anal., 2021)

Convergence Rates of Monotone Schemes for Conservation Laws for Data with Unbounded Total Variation. - Ulrik Skre Fjordholm; Kjetil Olsen Lye (J. Sci. Comput., 2022)

Well-posedness theory for nonlinear scalar conservation laws on networks. - Markus Musch; Ulrik Skre Fjordholm; Nils Henrik Risebro (Networks Heterog. Media, 2022)

Well-Posedness and Convergence of a Finite Volume Method for Conservation Laws on Networks. - Ulrik S. Fjordholm; Markus Musch; Nils Henrik Risebro (SIAM J. Numer. Anal., 2022)

On the Vanishing Viscosity Limit of Statistical Solutions of the Incompressible Navier-Stokes Equations. - Ulrik Skre Fjordholm; Siddhartha Mishra; Franziska Weber (SIAM J. Math. Anal., 2024)

Convergent Finite Difference Schemes for Stochastic Transport Equations. - Ulrik S. Fjordholm; Kenneth H. Karlsen; Peter H. C. Pang (SIAM J. Numer. Anal., 2025)

Semi-discrete heat equations with variable coefficients and the parametrix method. - Ulrik S. Fjordholm; Kenneth H. Karlsen; Peter H. C. Pang (CoRR, 2025)