Colin J. Cotter | DeepAI

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Featured Co-authors

Robert C. Kirby
18 publications
David A. Ham
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Lawrence Mitchell
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Werner Bauer
7 publications
Thomas H. Gibson
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Andreas Bock
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Darryl D. Holm
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Ben Shipway
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Andrew T. T. McRae
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Golo A. Wimmer
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Beth Wingate
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∙ 07/10/2023

Planar Curve Registration using Bayesian Inversion

We study parameterisation-independent closed planar curve matching as a ...

0 Andreas Bock, et al. ∙

∙ 04/12/2023

Consistent Point Data Assimilation in Firedrake and Icepack

When estimating quantities and fields that are difficult to measure dire...

0 Reuben W. Nixon-Hill, et al. ∙

∙ 02/26/2023

Compatible finite element methods for geophysical fluid dynamics

This article surveys research on the application of compatible finite el...

0 Colin J. Cotter, et al. ∙

∙ 10/21/2022

Hybridised multigrid preconditioners for a compatible finite element dynamical core

Compatible finite element discretisations for the atmospheric equations ...

0 Jack D. Betteridge, et al. ∙

∙ 07/05/2022

Weighted-norm preconditioners for a multi-layer tide model

We derive a linearized rotating shallow water system modeling tides, whi...

0 Colin J. Cotter, et al. ∙

∙ 03/09/2022

A new implementation of the geometric method for solving the Eady slice equations

We present a new implementation of the geometric method of Cullen Pu...

0 Charlie P. Egan, et al. ∙

∙ 08/02/2021

Conservation with moving meshes over orography

Adaptive meshes have the potential to improve the accuracy and efficienc...

0 Hiroe Yamazaki, et al. ∙

∙ 03/25/2021

Learning landmark geodesics using Kalman ensembles

We study the problem of diffeomorphometric geodesic landmark matching wh...

0 Andreas Bock, et al. ∙

∙ 03/13/2021

Time parallel integration and phase averaging for the nonlinear shallow water equations on the sphere

We describe the application of the phase averaging technique to the nonl...

0 Hiroe Yamazaki, et al. ∙

∙ 02/23/2021

Higher order phase averaging for highly oscillatory systems

We introduce a higher order phase averaging method for nonlinear oscilla...

0 Werner Bauer, et al. ∙

∙ 01/27/2020

Energy conserving SUPG methods for compatible finite element schemes in numerical weather prediction

We present an energy conserving space discretisation based on a Poisson ...

0 Golo A. Wimmer, et al. ∙

∙ 12/21/2019

A structure-preserving approximation of the discrete split rotating shallow water equations

We introduce an efficient split finite element (FE) discretization of a ...

0 Werner Bauer, et al. ∙

∙ 10/04/2019

Perspectives on the Formation of Peakons in the Stochastic Camassa-Holm Equation

The stochastic Camassa-Holm equation was derived in Holm and Tyranowski ...

0 Thomas M. Bendall, et al. ∙

∙ 10/04/2019

A Compatible Finite Element Discretisation for the Moist Compressible Euler Equations

We present new discretisation of the moist compressible Euler equations,...

0 Thomas M. Bendall, et al. ∙

∙ 02/01/2018

Slate: extending Firedrake's domain-specific abstraction to hybridized solvers for geoscience and beyond

Within the finite element community, discontinuous Galerkin (DG) and mix...

0 Thomas H. Gibson, et al. ∙

∙ 02/01/2018

A domain-specific language for the hybridization and static condensation of finite element methods

In this paper, we introduce a domain-specific language (DSL) for concise...

0 Thomas H. Gibson, et al. ∙

∙ 11/01/2017

The scaling and skewness of optimally transported meshes on the sphere

In the context of numerical solution of PDEs, dynamic mesh redistributio...

0 Chris J. Budd, et al. ∙

∙ 11/01/2017

The geometry of optimally transported meshes on the sphere

Mesh redistribution methods provide meshes with increased resolution in ...

0 Chris J. Budd, et al. ∙

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