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Computational Applied Mathematics

A research group of the Department of Mathematical Sciences.

Research Areas

Numerical methods for ordinary differential equations
Polynomial based approximation of complex valued functions

Staff

Academic Staff

Research Student

Publications by staff in this group

Conference papers

Cangiani, A, Georgoulis, E H & Jensen, M (2011), Discontinuous Galerkin methods for convection-diffusion problems modelling mass-transfer through semipermeable membrane, Congress on Numerical Methods in Engineering – CMNE 2011. Coimbra, Portugal.
M. Jensen & R. Müller (2010), Stable Crank-Nicolson Discretisation for Incompressible Miscible Displacement Problems of Low Regularity, in Kreiss, Gunilla Lötstedt, Per Målqvist, Axel & Neytcheva, Maya eds, Numerical Mathematics and Advanced Applications 2: Numerical Mathematics and Advanced Applications 2009 Proceedings of ENUMATH 2009, the 8th European Conference on Numerical Mathematics and Advanced Applications, Uppsala, July 2009. Uppsala, Springer, 469-477.

Journal papers: academic

Yeates, A.R. & Hornig, G. (2013). Unique topological characterization of braided magnetic fields. Physics of Plasmas 20(1): 012102.
Yeates, A. R. & Mackay, D. H. (2012). Chirality of high-latitude filaments over Solar Cycle 23. The Astrophysical Journal Letters 753: L34.
Dondl, Patrick W., Mugnai, Luca & Röger, Matthias (2012). Confined elastic curves. SIAM Journal on Applied Mathematics 71(6): 2205-2226.
Dondl, Patrick W. & Scheutzow, Michael (2012). Positive speed of propagation in a semilinear parabolic interface model with unbounded random coefficients. Networks Heterogeneous Media 7(1): 137-150.
Gottlieb, S, Tone, F, Wang, C, Wang, X & Wirosoetisno, D (2012). Long time stability of a classical efficient scheme for two-dimensional Navier-Stokes equations. SIAM Journal on Numerical Analysis 50(1): 126-150.
Wirosoetisno, D (2012). On the mixing rate of 2d perfect fluid flows. Nonlinearity 25(3): 677-682.
Mackay, D. H. & Yeates, A. R. (2012). The Sun's Global Photospheric and Coronal Magnetic Fields: Observations and Models. Living Reviews in Solar Physics 9: 6.
Yeates, AR & Hornig, G (2011). A Generalized Flux Function for Three-dimensional Magnetic Reconnection. Physics of Plasmas 18(10): 102118.
Straughan, B (2011). Tipping points in Cattaneo-Christov thermohaline convection. Proceedings of the Royal Society A: Mathematical, Physical and Engineering Sciences 467(2125): 7-18.
Al-Jaboori, M.A.H. & Wirosoetisno, Djoko (2011). Navier-Stokes equations on the $\beta$-plane. Discrete and Continuous Dynamical Systems - Series B (DCDS-B) 16(3): 687-701.
Yeates, A. R., Hornig, G. & Wilmot-Smith, A. L. (2010). Topological constraints on magnetic relaxation. Physical Review Letters 105(8): 085002.
Straughan, B (2010). Green-Naghdi fluid with non-thermal equilibrium effects. Proceedings of the Royal Society A: Mathematical, Physical and Engineering Sciences 466(2119): 2021-2032.
Dondl, Patrick W. & Bhattacharya, Kaushik (2010). A sharp interface model for the propagation of martensitic phase boundaries. Archive For Rational Mechanics And Analysis 197(2): 599-617.
Temam, R & Wirosoetisno, D (2010). Stability of the slow manifold in the primitive equations. SIAM Journal on Mathematical Analysis 42(1): 427-458.
Yeates, A. R. & Mackay, D. H. (2009). Initiation of coronal mass ejections in a global evolution model. The Astrophysical Journal 699(2): 1024.
C. Carstensen, T. Gudi & M. Jensen (2009). A Unifying Theory of a Posteriori Error Control for Discontinuous Galerkin FEM. Numerische Mathematik 112(3): 363-379.
S Bartels, M. Jensen & R. Müller (2009). Discontinuous Galerkin Finite Element Convergence for Incompressible Miscible Displacement Problems of Low Regularity. SIAM Journal on Numerical Analysis 47(5): 3720-3743.
Hill, AA & Straughan, B (2009). Global stability for thermal convection in a fluid overlying a highly porous material. Proceedings of the Royal Society A: Mathematical, Physical and Engineering Sciences 465(2101): 207-217.
Dmitrieva, Olga, Dondl, Patrick W., Mueller, Stefan & Raabe, Dierk (2009). Lamination microstructure in shear deformed copper single crystals. Acta Materialia 57(12): 3439-3449.
Payne, LE & Straughan, B (2009). Decay for a Keller-Segel chemotaxis model. Studies in Applied Mathematics 123(4): 337-360.
Mulone, G & Straughan, B (2009). Nonlinear stability for diffusion models in biology. SIAM Journal on Applied Mathematics 69(6): 1739-1758.
Yeates, A. R., Nandy, D. & Mackay, D. H. (2008). Exploring the physical basis of solar cycle predictions: Flux transport dynamics and persistence of memory in advection versus diffusion-dominated solar convection zones. The Astrophysical Journal 673(1): 544-556.
Yeates, A. R., Mackay, D. H. & van Ballegooijen, A. A. (2008). Modelling the global solar corona II: Coronal evolution and filament chirality comparison. Solar Physics 247(1): 103-121.
Jensen, Max (2006). On the discontinuous Galerkin method for Friedrichs systems in graph spaces. Lecture Notes in Computer Science 3743: 94-101.
Jensen, Max (2006). Remarks on Duality in Graph Spaces of First-Order Linear Operators. PAMM 6(1): 31-34.
Houston, Paul, Jensen, Max & Suli, Endre (2002). hp-Discontinuous Galerkin Finite Element Methods with Least-Squares Stabilization. Journal of Scientific Computing 17(1-4): 3-25.

Books: sections

Carstensen, Carsten & Jensen, Max (2005). Averaging Techniques for Reliable and Efficient A Posteriori Finite Element Error Control: Analysis and Applications. In Recent advances in adaptive computation. Shi, Z.-C. Chen, Z., Tang, T. & Yu, D. Providence, RI: American Mathematical Society. 383: 15-34.

Edited works: conference proceedings

A. Cangiani, E. Georgoulis & M. Jensen (2007). Continuous and Discontinuous Finite Element Methods for Convection-Diffusion Problems: A Comparison. International Conference on Boundary and Interior Layers 2006, Göttingen.