A three-dimensional finite volume method based on radial basis functions for the accurate computational modelling of nonlinear diffusion equations. - Timothy J. Moroney; Ian W. Turner (J. Comput. Phys., 2007)

Efficient simulation of unsaturated flow using exponential time integration. - Elliot J. Carr; Timothy J. Moroney; Ian W. Turner (Appl. Math. Comput., 2011)

Asymptotic and Numerical Results for a Model of Solvent-Dependent Drug Diffusion through Polymeric Spheres. - Scott W. McCue; Mike H.-N. Hsieh; Timothy J. Moroney; Mark I. Nelson (SIAM J. Appl. Math., 2011)

A banded preconditioner for the two-sided, nonlinear space-fractional diffusion equation. - Timothy J. Moroney; Qianqian Yang 001 (Comput. Math. Appl., 2013)

Efficient solution of two-sided nonlinear space-fractional diffusion equations using fast Poisson preconditioners. - Timothy J. Moroney; Qianqian Yang 001 (J. Comput. Phys., 2013)

The effect of surface tension and kinetic undercooling on a radially-symmetric melting problem. - Julian M. Back; Scott W. McCue; Mike H.-N. Hsieh; Timothy J. Moroney (Appl. Math. Comput., 2014)

Stability and convergence of a finite volume method for the space fractional advection-dispersion equation. - Hala Hejazi; Timothy J. Moroney; Fawang Liu (J. Comput. Appl. Math., 2014)

Jacobian-free Newton-Krylov methods with GPU acceleration for computing nonlinear ship wave patterns. - Ravindra Pethiyagoda; Scott W. McCue; Timothy J. Moroney; Julian M. Back (J. Comput. Phys., 2014)

A preconditioned numerical solver for stiff nonlinear reaction-diffusion equations with fractional Laplacians that avoids dense matrices. - Alex Simmons; Qianqian Yang 001; Timothy J. Moroney (J. Comput. Phys., 2015)

GPU Accelerated Algorithms for Computing Matrix Function Vector Products with Applications to Exponential Integrators and Fractional Diffusion. - Megan E. Farquhar; Timothy J. Moroney; Qianqian Yang 001; Ian W. Turner (SIAM J. Sci. Comput., 2016)

Extending fields in a level set method by solving a biharmonic equation. - Timothy J. Moroney; Dylan R. Lusmore; Scott W. McCue; D. L. Sean McElwain (J. Comput. Phys., 2017)

A finite volume method for two-sided fractional diffusion equations on non-uniform meshes. - Alex Simmons; Qianqian Yang 001; Timothy J. Moroney (J. Comput. Phys., 2017)

Moving Boundary Problems for Quasi-Steady Conduction Limited Melting. - Liam C. Morrow; John R. King; Timothy J. Moroney; Scott W. McCue (SIAM J. Appl. Math., 2019)

Implicit reconstructions of thin leaf surfaces from large, noisy point clouds. - Riley M. Whebell; Timothy J. Moroney; Ian W. Turner; Ravindra Pethiyagoda; Scott W. McCue (CoRR, 2020)

An investigation of space distributed-order models for simulating anomalous transport in a binary medium. - Libo Feng; Ian W. Turner; Timothy J. Moroney; Fawang Liu (Appl. Math. Comput., 2022)

Data fusion for a multi-scale model of a wheat leaf surface: a unifying approach using a radial basis function partition of unity method. - Riley M. Whebell; Timothy J. Moroney; Ian W. Turner; Ravindra Pethiyagoda; Marie-Luise Wille; Justin J. Cooper-White; Arvind Kumar; Philip Taylor; Scott W. McCue (CoRR, 2023)

Fractional potential: A new perspective on the fractional Laplacian problem on bounded domains. - Libo Feng; Ian W. Turner; Timothy J. Moroney; Fawang Liu (Commun. Nonlinear Sci. Numer. Simul., 2023)

Computing sessile droplet shapes on arbitrary surfaces with a new pairwise force smoothed particle hydrodynamics model. - Riley M. Whebell; Timothy J. Moroney; Ian W. Turner; Ravindra Pethiyagoda; Scott W. McCue (CoRR, 2024)

Data Fusion for a Multiscale Model of a Wheat Leaf Surface: A Unifying Approach Using a Radial Basis Function Partition of Unity Method. - Riley M. Whebell; Timothy J. Moroney; Ian W. Turner; Ravindra Pethiyagoda; Marie-Luise Wille; Justin J. Cooper-White; Arvind Kumar; Philip Taylor; Scott W. McCue (SIAM J. Imaging Sci., 2025)