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Formal asymptotic limit of a diffuse-interface tumor-growth model (2015)
Journal Article
Hilhorst, D., Kampmann, J., Nguyen, T. N., & van der Zee, K. (2015). Formal asymptotic limit of a diffuse-interface tumor-growth model. Mathematical Models and Methods in Applied Sciences, 25(6), https://doi.org/10.1142/S0218202515500268

We consider a diffuse-interface tumor-growth model which has the form of a phase-field system. We characterize the singular limit of this problem. More precisely, we formally prove that as the coefficient of the reaction term tends to infinity, the s... Read More about Formal asymptotic limit of a diffuse-interface tumor-growth model.

Cellular cardiac electrophysiology modeling with Chaste and CellML (2015)
Journal Article
Cooper, J., Spiteri, R. J., & Mirams, G. R. (2015). Cellular cardiac electrophysiology modeling with Chaste and CellML. Frontiers in Physiology, 5, https://doi.org/10.3389/fphys.2014.00511

© 2015 Cooper, Spiteri and Mirams. Chaste is an open-source C++ library for computational biology that has well-developed cardiac electrophysiology tissue simulation support. In this paper, we introduce the features available for performing cardiac e... Read More about Cellular cardiac electrophysiology modeling with Chaste and CellML.

Uniform asymptotic properties of a nonparametric regression estimator of conditional tails (2015)
Journal Article
Goegebeur, Y., Guillou, A., & Stupfler, G. (2015). Uniform asymptotic properties of a nonparametric regression estimator of conditional tails. Annales de l'Institut Henri Poincaré (B) Probabilités et Statistiques, 51(3), 1190-1213. https://doi.org/10.1214/14-AIHP624

We consider a nonparametric regression estimator of conditional tails introduced by Goegebeur, Y., Guillou, A., Schorgen, G. (2013). Nonparametric regression estimation of conditional tails – the random covariate case. It is shown that this estimator... Read More about Uniform asymptotic properties of a nonparametric regression estimator of conditional tails.

Decay of bound states in a sine-Gordon equation with double well potentials (2015)
Journal Article
Ali, A., Susanto, H., & Wattis, J. A. (2015). Decay of bound states in a sine-Gordon equation with double well potentials. Journal of Mathematical Physics, 56, Article 051502. https://doi.org/10.1063/1.4917284

We consider a spatially inhomogeneous sine-Gordon equation with a double-well potential, describing long Josephson junctions with phase-shifts. We discuss the interactions of symmetric and antisymmetric bound states in the system. Using a multiple sc... Read More about Decay of bound states in a sine-Gordon equation with double well potentials.

A note on optimal spectral bounds for nonoverlapping domain decomposition preconditioners for hp-version discontinuous Galerkin methods (2015)
Journal Article
Antonietti, P. F., Houston, P., & Smears, I. A note on optimal spectral bounds for nonoverlapping domain decomposition preconditioners for hp-version discontinuous Galerkin methods. Manuscript submitted for publication

In this article, we consider the derivation of hp-optimal spectral bounds for a class of domain decomposition preconditioners based on the Schwarz framework for discontinuous Galerkin finite element approximations of second-order elliptic partial dif... Read More about A note on optimal spectral bounds for nonoverlapping domain decomposition preconditioners for hp-version discontinuous Galerkin methods.

Bayesian registration of functions and curves (2015)
Journal Article
Cheng, W., Dryden, I. L., & Huang, X. (2015). Bayesian registration of functions and curves. Bayesian Analysis, 2015, https://doi.org/10.1214/15-BA957

Bayesian analysis of functions and curves is considered, where warping and other geometrical transformations are often required for meaningful comparisons. The functions and curves of interest are represented using the recently introduced square root... Read More about Bayesian registration of functions and curves.

Goal-oriented a posteriori error estimation for the travel time functional in porous media flows (2015)
Journal Article
Cliffe, A., Collis, J., & Houston, P. (2015). Goal-oriented a posteriori error estimation for the travel time functional in porous media flows. SIAM Journal on Scientific Computing, 37(2), Article B127-B152. https://doi.org/10.1137/140960499

In this article we consider the a posteriori error estimation and adaptive mesh refinement for the numerical approximation of the travel time functional arising in porous media flows. The key application of this work is in the safety assessment of ra... Read More about Goal-oriented a posteriori error estimation for the travel time functional in porous media flows.

A diffusion process associated with Fréchet means (2015)
Journal Article
Le, H. (2015). A diffusion process associated with Fréchet means. Annals of Applied Probability, 25(6), https://doi.org/10.1214/14-AAP1066

This paper studies rescaled images, under exp−1μ, of the sample Fréchet means of i.i.d. random variables {Xk|k≥1} with Fréchet mean μ on a Rie-mannian manifold. We show that, with appropriate scaling, these images converge weakly to a diffusion proce... Read More about A diffusion process associated with Fréchet means.

Fast-decodable MIDO codes from non-associative algebras (2015)
Journal Article
Pumpluen, S., & Steele, A. (2015). Fast-decodable MIDO codes from non-associative algebras. International Journal of Information and Coding Theory, 3(1), https://doi.org/10.1504/IJICOT.2015.068695

By defining a multiplication on a direct sum of n copies of a given cyclic division algebra, we obtain new unital non-associative algebras. We employ their left multiplication to construct rate-n and rate-2 fully diverse fast ML-decodable space-time... Read More about Fast-decodable MIDO codes from non-associative algebras.

Time-randomized stopping problems for a family of utility functions (2015)
Journal Article
Pérez López, I., & Le, H. (2015). Time-randomized stopping problems for a family of utility functions. SIAM Journal on Control and Optimization, 53(3), https://doi.org/10.1137/130946800

This paper studies stopping problems of the form $V=\inf_{0 \leq \tau \leq T} \mathbb{E}[U(\frac{\max_{0\le s \le T} Z_s }{Z_\tau})]$ for strictly concave or convex utility functions U in a family of increasing functions satisfying certain conditions... Read More about Time-randomized stopping problems for a family of utility functions.

Covariance weighted procrustes analysis (2015)
Book Chapter
Brignell, C. J., Dryden, I. L., & Browne, W. J. (2015). Covariance weighted procrustes analysis. In P. K. Turaga, & A. Srivastava (Eds.), Riemannian Computing in Computer Vision (189-209). https://doi.org/10.1007/978-3-319-22957-7_9

© Springer International Publishing Switzerland 2016. We revisit the popular Procrustes matching procedure of landmark shape analysis and consider the situation where the landmark coordinates have a completely general covariance matrix, extending pre... Read More about Covariance weighted procrustes analysis.