By Dr Anna McGann

Journal articles

Angstmann CN; Burney SJM; McGann AV; Xu Z, 2025, 'Delay infectivity and delay recovery SIR model', Physica A Statistical Mechanics and Its Applications, 670, http://dx.doi.org/10.1016/j.physa.2025.130627

Angstmann CN; Erickson AM; Henry BI; McGann AV; Murray JM; Nichols JA, 2021, 'A general framework for fractional order compartment models', SIAM Review, 63, pp. 375 - 392, http://dx.doi.org/10.1137/21M1398549

Abad E; Angstmann CN; Henry BI; McGann AV; Le Vot F; Yuste SB, 2020, 'Reaction-diffusion and reaction-subdiffusion equations on arbitrarily evolving domains', Physical Review E, 102, pp. 032111, http://dx.doi.org/10.1103/PhysRevE.102.032111

Angstmann CN; Henry BI; Jacobs BA; McGann AV, 2019, 'Numeric Solution of Advection-Diffusion Equations by a Discrete Time Random Walk Scheme', Numerical Methods for Partial Differential Equations, http://dx.doi.org/10.1002/num.22448

Angstmann CN; Henry BI; McGann AV, 2019, 'Time-fractional geometric Brownian motion from continuous time random walks', Physica A Statistical Mechanics and Its Applications, 526, pp. 121002, http://dx.doi.org/10.1016/j.physa.2019.04.238

Angstmann CN; Henry BI; Jacobs BA; McGann AV, 2019, 'An explicit numerical scheme for solving fractional order compartment models from the master equations of a stochastic process', Communications in Nonlinear Science and Numerical Simulation, 68, pp. 188 - 202, http://dx.doi.org/10.1016/j.cnsns.2018.07.009

Angstmann C; Henry BI; McGann A, 2017, 'A Fractional-Order Infectivity and Recovery SIR Model', Fractal and Fractional, 1, pp. 11 - 11, http://dx.doi.org/10.3390/fractalfract1010011

Angstmann CN; Henry BI; McGann AV, 2017, 'Generalized fractional diffusion equations for subdiffusion in arbitrarily growing domains', Physical Review E, 96, pp. 042153 - 042153, http://dx.doi.org/10.1103/physreve.96.042153

Angstmann CN; Henry BI; Jacobs BA; McGann AV, 2017, 'A time-fractional generalised advection equation from a stochastic process', Chaos Solitons and Fractals, 102, pp. 175 - 183, http://dx.doi.org/10.1016/j.chaos.2017.04.040

Angstmann CN; Henry BI; Jacobs BA; McGann AV, 2017, 'Integrablization of time fractional PDEs', Computers and Mathematics with Applications, 73, pp. 1053 - 1062, http://dx.doi.org/10.1016/j.camwa.2016.12.010

Angstmann CN; Erickson AM; Henry BI; McGann A; Murray J; Nichols J, 2017, 'Fractional order compartment models', SIAM Journal on Applied Mathematics, 77, pp. 430 - 446, http://dx.doi.org/10.1137/16M1069249

Angstmann CN; Henry BI; McGann AV, 2016, 'A fractional-order infectivity SIR model', Physica A Statistical Mechanics and Its Applications, 452, pp. 86 - 93, http://dx.doi.org/10.1016/j.physa.2016.02.029

Angstmann CN; Henry BI; McGann AV; Jacobs B, 2016, 'Discretization of Fractional Differential Equations by a Piecewise Constant Approximation', Mathematical Modelling of Natural Phenomena, 12, pp. 23 - 36, http://dx.doi.org/10.1051/mmnp/2017063

Angstmann CN; Henry BI; McGann AV, 2016, 'A fractional order recovery SIR model from a stochastic process', Bulletin of Mathematical Biology, 78, pp. 468 - 499, http://dx.doi.org/10.1007/s11538-016-0151-7

Walsh JC; Angstmann CN; McGann AV; Henry BI; Duggin IG; Curmi PMG, 2016, 'Patterning of the MinD cell division protein in cells of arbitrary shape can be predicted using a heuristic dispersion relation', AIMS Biophysics, 3, pp. 119 - 145, http://dx.doi.org/10.3934/biophy.2016.1.119

Preprints

Angstmann CN; Burney S-JM; McGann AV; Xu Z, 2024, Delay Infectivity and Delay Recovery SIR model, http://arxiv.org/abs/2406.18107v2

Angstmann CN; McGann AV; Xu Z, 2024, Delay compartment models from a stochastic process, http://arxiv.org/abs/2406.17242v1

Abad E; Angstmann CN; Henry BI; McGann AV; Vot FL; Yuste SB, 2020, Reaction-diffusion and reaction-subdiffusion equations on arbitrarily evolving domains, http://dx.doi.org/10.1103/PhysRevE.102.032111

Angstmann CN; Henry BI; McGann AV, 2017, Generalised fractional diffusion equations for subdiffusion on arbitrarily growing domains, https://www.researchgate.net/publication/317821825_Generalised_fractional_diffusion_equations_for_subdiffusion_on_arbitrarily_growing_domains

Angstmann CN; Henry BI; Jacobs BA; McGann AV, 2016, Numeric Solution of Advection-Diffusion Equations by a Discrete Time Random Walk Scheme, http://arxiv.org/abs/1610.05417v1

Angstmann CN; Henry BI; McGann AV, 2016, Discretization of Fractional Differential Equations by a Piecewise Constant Approximation, http://arxiv.org/abs/1605.01815v1

Angstmann CN; Henry BI; McGann AV, 2015, A Fractional-Order Infectivity SIR Model, http://dx.doi.org/10.1016/j.physa.2016.02.029

Angstmann CN; Henry BI; McGann AV, 2015, A fractional order recovery SIR model from a stochastic process, http://dx.doi.org/10.1007/s11538-016-0151-7

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