Adrian Montgomery Ruf

Student - Faculty of Mathematics and Natural Sciences

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Email adrianru@math.uio.no

Room 1019

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Research Articles

A. M. Ruf, Convergence of a Full Discretization for a Second-Order Nonlinear Elastodynamic Equation in Isotropic and Anisotropic Orlicz Spaces [arxiv] [journal]
J. Ridder and A. M. Ruf, A convergent finite difference scheme for the Ostrovsky–Hunter equation with Dirichlet boundary conditions [arxiv] [journal] [code]
A. M. Ruf, E. Sande and S. Solem, The optimal convergence rate of monotone schemes for conservation laws in the Wasserstein distance [arxiv] [journal]

N. H. Risebro and A. M. Ruf, Numerical investigations into a model of partially incompressible two-phase flow in pipes [arxiv]

Since 2016: PhD student in Partial Differential Equations at the University of Oslo, Norway
2016: MSc Mathematics at the TU Berlin, Germany
2013: BSc Mathematics at the TU Berlin, Germany

The complete guide to a PhD for new PhD students by slightly less new PhD students (with Sylvia Qinghua Liu)
What is a Researcher? (with Kristian A. Hiorth, Jonas van den Brink, Emil André Valaker)
The best card trick? Puzzle number 13 for the Matheon advent calendar

Tags: Mathematics, Partial Differential Equations

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. s 1- 22 . doi: 10.1007/s10543-019-00746-7
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. . doi: 10.1007/s10915-019-00996-1
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), s 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.

Ruf, Adrian Montgomery (2019). A second-order scheme for a class of nonlocal conservation laws.
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 (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.

Published Aug. 22, 2016 1:42 PM - Last modified July 1, 2019 9:43 AM