I work as part of the research group on interacting random systems at the Weierstrass Institute in Berlin.

My contact details are on my official web page. I also have strong links to the Computational Modelling Group in Cambridge

I studied maths and stochastic processes in Cambridge, before moving to the Chemical Engineering Department where I gained a PhD with work on stochastic particle simulations of soot formation. I then went to work developing stochastic simulation software in the commercial sector for a couple of years before returning to academic research.

My current research interests are:

- Stochastic simulation of coagulation in spatially varying particle populations and algorithmic accelerations of the associated computer programs.
- Convergence analysis of stochastic particle methods for particle coagulation and transport
- Coupling of coagulating particle populations to reacting flows.

Topologies and measures on the space of functions of bounded variation taking values in a Banach or metric space,

Martin Heida,
Robert I. A. Patterson, and
D. R. Michiel Renger,
Journal of Evolution Equations,
,
,
(2018).

Space-time large deviations in capacity-constrained relay networks,

Christian Hirsch,
Benedikt Jahnel, and
Robert I. A. Patterson,
ALEA Latin American Journal of Probability and Mathematical Statistics,
15,
587-615,
(2018).

Large deviations in relay-augmented wireless networks,

Christian Hirsch,
Benedikt Jahnel,
Paul Keeler, and
Robert I. A. Patterson,
Queueing Systems,
88,
349-387,
(2018).

Non-equilibrium Thermodynamical Principles for Chemical Reactions with Mass-Action Kinetics,

Alexander Mielke,
Robert I. A. Patterson,
Mark A. Peletier, and
D. R. Michiel Renger,
SIAM Journal on Applied Mathematics,
77,
1562-1585,
(2017).

Traffic flow densities in large transport networks,

Christian Hirsch,
Benedikt Jahnel,
Paul Keeler, and
Robert I. A. Patterson,
Advances in Applied Probability,
49,
1091-1115,
(2017).

A Kinetic Equation for the Distribution of Interaction Clusters in Rarefied Gases,

Robert I. A. Patterson,
Sergio Simonella, and
Wolfgang Wagner,
Journal of Statistical Physics,
169,
126-167,
(2017).

Large-deviation principles for connectable receivers in wireless networks,

Christian Hirsch,
Benedikt Jahnel,
Paul Keeler, and
Robert I. A. Patterson,
Advances in Applied Probability,
48,
1061-1094,
(2016).

Kinetic theory of cluster dynamics,

Robert I. A. Patterson,
Sergio Simonella, and
Wolfgang Wagner,
Physica D,
335,
26-32,
(2016).

Properties of the solutions of delocalised coagulation and inception problems with outflow boundaries,

Robert I. A. Patterson
Journal of Evolution Equations,
16,
261-291,
(2016).

Numerical simulation and parametric sensitivity study of optical band gap in a laminar co-flow ethylene diffusion flame Edward K. Y. Yapp, Robert I. A. Patterson, Jethro Akroyd, Sebastian Mosbach, Erin M. Adkins, J. Houston Miller, and Markus Kraft, Combustion and Flame, 167, 320-334, (2016).

Stochastic weighted particle methods for population balance equations with coagulation, fragmentation and spatial inhomogeneity Kok Foong Lee, and Robert I. A. Patterson, and Wolfgang Wagner, and Markus Kraft, Journal of Computational Physics, 303, 1-18, (2015).

Cell size error in stochastic particle methods for coagulation equations with advection,

Robert I. A. Patterson, and
Wolfgang Wagner,
SIAM Journal on Numerical Analysis,
52,
424-442,
(2014).

Convergence of stochastic particle systems undergoing advection and coagulation,

Robert I. A. Patterson,
Stochastic Analysis and Applications,
31,
800-829,
(2013).

Application of stochastic weighted algorithms to a multidimensional silica particle model,

William J. Menz,
Robert I. A. Patterson,
Wolfgang Wagner, and
Markus Kraft,
Journal of Computational Physics,
248,
221-234,
(2013).

A stochastic weighted particle method for coagulation–advection problems,

Robert I. A. Patterson, and
Wolfgang Wagner,
SIAM Journal on Scientific Computing,
34,
B290-B311,
(2012)

Developing the PAH-PP soot particle model using process informatics and uncertainty propagation,

Markus Sander,
Robert I. A. Patterson,
Andreas Braumann,
Abhijeet Raj, and
Markus Kraft,
Proceedings of the Combustion Institute,
33, 675-683,
(2011)

Stochastic weighted particle methods for population balance equations,

Robert I. A. Patterson,
Wolfgang Wagner, and
Markus Kraft,
Journal of Computational Physics,
230,
7456-7472,
(2011)

Comment on “Low Fractal Dimension Cluster-Dilute Soot Aggregates from a Premixed Flame”,

Markus Sander,
Robert I. A. Patterson,
Abhijeet Raj, and
Markus Kraft,
Physical Review Letters ,
104,
119601,
(2010)

A predictor–corrector algorithm for the coupling of stiff ODEs to a particle population balance,

Matthew S. Celnik,
Robert I. A. Patterson,
Markus Kraft, and
Wolfgang Wagner,
Journal of Computational Physics,
228,
2758-2769,
(2009)

A statistical approach to develop a detailed soot growth model using PAH characteristics,

Abhijeet Raj,
Matthew S. Celnik,
Raphael Shirley,
Markus Sander,
Robert I. A. Patterson,
Richard H. West, and
Markus Kraft,
Combustion and Flame,
156,
896-913,
(2009)

Aromatic site description of soot particles,

Matthew S. Celnik,
Abhijeet Raj,
Richard H. West,
Robert I. A. Patterson, and
Markus Kraft,
Combustion and Flame,
155,
161-180,
(2008)

Modes of neck growth in nanoparticle aggregates,

Neal M. Morgan,
Robert I. A. Patterson, and
Markus Kraft,
Combustion and Flame,
152,
272-275,
(2008)

Coupling a stochastic soot population balance to gas-phase chemistry using operator splitting,

Matthew S. Celnik,
Robert I. A. Patterson,
Markus Kraft, and
Wolfgang Wagner,
Combustion and Flame,
148,
158-176,
(2007)

Models for the aggregate structure of soot particles,

Robert I. A. Patterson, and
Markus Kraft,
Combustion and Flame,
151,
160-172,
(2007)

Extending stochastic soot simulation to higher pressures,

Robert I. A. Patterson,
Jasdeep Singh,
Michael Balthasar,
Markus Kraft, and
Wolfgang Wagner,
Combustion and Flame,
145,
638-642,
(2006)

Numerical simulation and sensitivity analysis of detailed soot particle size distribution in laminar premixed ethylene flames,

Jasdeep Singh,
Robert I. A. Patterson,
Markus Kraft, and
Hai Wang,
Combustion and Flame,
145,
117-127,
(2006)

The Linear Process Deferment Algorithm: A new technique for solving population balance equations,

Robert I. A. Patterson,
Jasdeep Singh,
Michael Balthasar,
Markus Kraft, and
J. R. Norris,
SIAM Journal on Scientific Computing,
28,
303-320,
(2006)