Browsing NTNU Open by Author "Fjordholm, Ulrik Skre"
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Convergence and convergence rates of numerical methods for conservation laws
Solem, Susanne (Doctoral theses at NTNU;2019:11, Doctoral thesis, 2019) -
A second-order numerical method for the aggregation equations
Solem, Susanne; Fjordholm, Ulrik Skre; Carrillo, José A (Peer reviewed; Journal article, 2020)Abstract: Inspired by so-called TVD limiter-based second-order schemes for hyperbolic conservation laws, we develop a formally second-order accurate numerical method for multi-dimensional aggregation equations. The method ... -
Statistical solutions of hyperbolic systems of conservation laws: Numerical approximation
Fjordholm, Ulrik Skre; Lye, Kjetil; Mishra, Siddhartha; Weber, Franziska (Peer reviewed; Journal article, 2020)Statistical solutions are time-parameterized probability measures on spaces of integrable functions, which have been proposed recently as a framework for global solutions and uncertainty quantification for multi-dimensional ...