Adrian Montgomery Ruf

• Fjordholm, Ulrik Skre & Ruf, Adrian Montgomery (2021). Second-order accurate TVD numerical methods for nonlocal nonlinear conservation laws. SIAM Journal on Numerical Analysis. ISSN 0036-1429. 59(3), p. 1167–1194. doi: 10.1137/20M1360979. Full text in Research Archive
• Badwaik, Jayeesh; Klingenberg, Christian; Risebro, Nils Henrik & Ruf, Adrian Montgomery (2021). Multilevel Monte Carlo finite volume methods for random conservation laws with discontinuous flux. Mathematical Modelling and Numerical Analysis. ISSN 0764-583X. 55(3), p. 1039–1065. doi: 10.1051/m2an/2021011. Full text in Research Archive
• Risebro, Nils Henrik & Ruf, Adrian Montgomery (2019). Numerical investigations into a model of partially incompressible two-phase flow in pipes. SeMA Journal - Boletin de la Sociedad Española de Matemática Aplicada. ISSN 2254-3902. p. 1–17. doi: 10.1007/s40324-019-00207-9. Full text in Research Archive
• Ruf, Adrian Montgomery; Sande, Espen & Solem, Susanne (2019). The Optimal Convergence Rate of Monotone Schemes for Conservation Laws in the Wasserstein Distance. Journal of Scientific Computing. ISSN 0885-7474. 80(3), p. 1764–1776. doi: 10.1007/s10915-019-00996-1. Full text in Research Archive
• Ridder, Johanna & Ruf, Adrian Montgomery (2019). A convergent finite difference scheme for the Ostrovsky–Hunter equation with Dirichlet boundary conditions. BIT Numerical Mathematics. ISSN 0006-3835. 59, p. 775–796. doi: 10.1007/s10543-019-00746-7.
• Ruf, Adrian Montgomery (2017). Convergence of a full discretization for a second-order nonlinear elastodynamic equation in isotropic and anisotropic Orlicz spaces. Zeitschrift für Angewandte Mathematik und Physik. ISSN 0044-2275. 68:118(5), p. 1–24. doi: 10.1007/s00033-017-0863-z. Full text in Research Archive Show summary

  In this paper, we study a second-order, nonlinear evolution equation with damping arising in elastodynamics. The nonlinear term is monotone and possesses a convex potential but exhibits anisotropic and nonpolynomial growth. The appropriate setting for such equations is that of monotone operators in Orlicz spaces. Global existence of solutions in the sense of distributions is shown via convergence of the backward Euler scheme combined with an internal approximation. Moreover, we show uniqueness in a class of sufficiently smooth solutions and provide an a priori error estimate for the temporal semidiscretization.

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• Ruf, Adrian Montgomery (2019). Second-order numerical methods for nonlocal conservation laws.
• Ruf, Adrian Montgomery (2019). The optimal convergence rate of monotone schemes for conservation laws in the Wasserstein distance.
• Ruf, Adrian Montgomery (2019). A second-order scheme for a class of nonlocal conservation laws.
• Ruf, Adrian Montgomery (2018). A second-order method for nonlocal conservation laws.
• Ruf, Adrian Montgomery (2018). The Ostrovsky-Hunter equation with Dirichlet boundary conditions.
• Ruf, Adrian Montgomery (2018). The Ostrovsky-Hunter equation with Dirichlet boundary conditions.
• Ruf, Adrian Montgomery (2017). Multiphase Flow in Pipelines.
• Ruf, Adrian Montgomery (2017). What is a Researcher?
• Ruf, Adrian Montgomery & Liu, Qinghua (2017). The complete guide to a PhD for new PhD students by slightly less new PhD students.
• Ruf, Adrian Montgomery (2016). A class of nonlinear evolution equations of second order.

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