Outputs (18)

Eliminating Gibbs phenomena: A non-linear Petrov–Galerkin method for the convection–diffusion–reaction equation (2020)
Journal Article
Houston, P., Roggendorf, S., & van der Zee, K. G. (2020). Eliminating Gibbs phenomena: A non-linear Petrov–Galerkin method for the convection–diffusion–reaction equation. Computers and Mathematics with Applications, 80(5), 851-873. https://doi.org/10.1016/j.camwa.2020.03.025

In this article we consider the numerical approximation of the convection-diffusion-reaction equation. One of the main challenges of designing a numerical method for this problem is that boundary layers occurring in the convection-dominated case can... Read More about Eliminating Gibbs phenomena: A non-linear Petrov–Galerkin method for the convection–diffusion–reaction equation.

On the mechanistic understanding of predator feeding behavior using the functional response concept (2020)
Journal Article
Papanikolaou, N. E., Broufas, G. D., Papachristos, D. P., Pappas, M. L., Kyriakaki, C., Samaras, K., & Kypraios, T. (2020). On the mechanistic understanding of predator feeding behavior using the functional response concept. Ecosphere, 11(5), Article e03147. https://doi.org/10.1002/ecs2.3147

Zeros of derivatives of strictly nonreal meromorphic functions (2020)
Journal Article
Langley, J. K. (2020). Zeros of derivatives of strictly nonreal meromorphic functions. Illinois Journal of Mathematics, 64(2), 261-290. https://doi.org/10.1215/00192082-8513350

Let f be a meromorphic function in the plane and let e f(z) = f(_z) (this notation will be used throughout). Here f is called real if e f = f, and strictly non-real if e f is not a constant multiple of f. There has been substantial research concernin... Read More about Zeros of derivatives of strictly nonreal meromorphic functions.

Slow travelling wave solutions of the nonlocal Fisher-KPP equation (2020)
Journal Article
Billingham, J. (2020). Slow travelling wave solutions of the nonlocal Fisher-KPP equation. Nonlinearity, 33(5), 2106-2142. https://doi.org/10.1088/1361-6544/ab6f4f

© 2020 IOP Publishing Ltd & London Mathematical Society. We study travelling wave solutions, u = U(x - ct), of the nonlocal Fisher- KPP equation in one spatial dimension, dimension, (Display equation presented), with D = 1 and c = 1, where = = u is... Read More about Slow travelling wave solutions of the nonlocal Fisher-KPP equation.

hp-Adaptive Iterative Linearization Discontinuous-Galerkin FEM for Quasilinear Elliptic Boundary Value Problems (2020)
Presentation / Conference Contribution
HOUSTON, P., & WIHLER, T. (2020). hp-Adaptive Iterative Linearization Discontinuous-Galerkin FEM for Quasilinear Elliptic Boundary Value Problems. In S. Sherwin, D. Moxey, J. Peiro, P. Vincent, & C. Schwab (Eds.), Spectral and High Order Methods for Partial Differential Equations ICOSAHOM 2018 (407–417). https://doi.org/10.1007/978-3-030-39647-3

In this article we consider the a posteriori error analysis of hp-version discontinuous Galerkin finite element methods for the numerical solution of a second-order quasilinear elliptic boundary value problem of strongly monotone type. In particular,... Read More about hp-Adaptive Iterative Linearization Discontinuous-Galerkin FEM for Quasilinear Elliptic Boundary Value Problems.

An asymptotic analysis of the malonyl-CoA route to 3-hydroxypropionic acid in genetically engineered microbes (2020)
Journal Article
Dalwadi, M. P., & King, J. R. (2020). An asymptotic analysis of the malonyl-CoA route to 3-hydroxypropionic acid in genetically engineered microbes. Bulletin of Mathematical Biology, 82, Article 36. https://doi.org/10.1007/s11538-020-00714-1

There has been recent interest in creating an efficient microbial production route for 3-hydroxypropionic acid, an important platform chemical. We develop and solve a mathematical model for the time-dependent metabolite concentrations in the malonyl-... Read More about An asymptotic analysis of the malonyl-CoA route to 3-hydroxypropionic acid in genetically engineered microbes.

New travelling wave solutions of the Porous–Fisher model with a moving boundary (2020)
Journal Article
Fadai, N. T., & Simpson, M. J. (2020). New travelling wave solutions of the Porous–Fisher model with a moving boundary. Journal of Physics A: Mathematical and Theoretical, 53(9), Article 095601. https://doi.org/10.1088/1751-8121/ab6d3c

We examine travelling wave solutions of the Porous-Fisher model, ϑtu(x,t) = u(x,t)[1 u(x,t)] + ϑx [u(x,t)ϑxu(x,t)], with a Stefan-like condition at the moving front, x = L(t). Travelling wave solutions of this model have several novel characteristics... Read More about New travelling wave solutions of the Porous–Fisher model with a moving boundary.

Study Habits and Attainment in Undergraduate Mathematics: A Social Network Analysis (2020)
Journal Article
Alcock, L., Hernandez-Martinez, P., Patel, A. G., & Sirl, D. (2020). Study Habits and Attainment in Undergraduate Mathematics: A Social Network Analysis. Journal for Research in Mathematics Education, 51(1), 26–49. https://doi.org/10.5951/jresematheduc.2019.0006

In this paper, we argue that although mathematics educators are concerned about social issues, minimal attention has been paid to student-student interactions outside the classroom. We discuss social network analysis (SNA) as a methodology for studyi... Read More about Study Habits and Attainment in Undergraduate Mathematics: A Social Network Analysis.