• Primes In Arithmetic Progressions And Semidefinite Programming 

      Chirre, Andrés; Júnior, Valdir José Pereira; de Laat, David (Journal article; Peer reviewed, 2021)
      Assuming the generalized Riemann hypothesis, we give asymptotic bounds on the size of intervals that contain primes from a given arithmetic progression using the approach developed by Carneiro, Milinovich and Soundararajan ...
    • 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 ...
    • Using aromas to search for preserved measures and integrals in Kahan’s method 

      Bogfjellmo, Geir; Celledoni, Elena; McLachlan, Robert I.; Owren, Brynjulf Rustad; Quispel, Gilles Reinout Willem (Peer reviewed; Journal article, 2023)
      The numerical method of Kahan applied to quadratic differential equations is known to often generate integrable maps in low dimensions and can in more general situations exhibit preserved measures and integrals. Computerized ...