Robert Patterson

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

Robert Patterson pictured while hiking

Research Activities

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:

List of Publications

Non-equilibrium Thermodynamical Principles for Chemical Reactions with Mass-Action Kinetics,
Alexander Mielke, Robert I. A. Patterson, and Mark A. Peletier, and D. R. Michiel Renger, SIAM J. Appl. Math., 77, 1562-1585, (2017).

A Kinetic Equation for the Distribution of Interaction Clusters in Rarefied Gases,
Robert I. A. Patterson, and Sergio Simonella, and Wolfgang Wagner, J. Stat. Phys., , (to appear).

Large-deviation principles for connectable receivers in wireless networks,
Christian Hirsch, and 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, and 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, and Robert I. A. Patterson, and Jethro Akroyd, and Sebastian Mosbach, and Erin M. Adkins, and 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 Wolfgang Wagner, and 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)

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