Full List of Preprints with a Numerics theme.

192: A high-dimensional, stochastic model for twin-screw granulation. Part 2: Numerical methodology

ref: Technical Report 192, c4e-Preprint Series, Cambridge, 2017 by Andrew D McGuire, Sebastian Mosbach, Kok Foong Lee, Gavin Reynolds, and Markus Kraft

189: An ontology framework for information modeling and management of eco-industrial parks

ref: Technical Report 189, c4e-Preprint Series, Cambridge, 2017 by Li Zhou, Chuan Zhang, Iftekhar A. Karimi, and Markus Kraft

186: The Mathematical Foundations of An Efficient Stochastic Algorithm For Solving Population Balance Equations

ref: Technical Report 186, c4e-Preprint Series, Cambridge, 2017 by Alastair J. Smith, Clive G. Wells, and Markus Kraft

185: Evaluating Smart Sampling for Constructing Multidimensional Surrogate Models

ref: Technical Report 185, c4e-Preprint Series, Cambridge, 2017 by Sushant S. Garud, Iftekhar A. Karimi, George Brownbridge, and Markus Kraft

184: Machine learning approach for constructing surrogates of a biodiesel plant flow sheet model

ref: Technical Report 184, c4e-Preprint Series, Cambridge, 2017 by Xueheng Qiu, Janusz Sikorski, Sushant S. Garud, Ponnuthurai Nagaratnam Suganthan, and Markus Kraft

183: A New Iterative Scheme For Solving The Discrete Smoluchowski Equation

ref: Technical Report 183, c4e-Preprint Series, Cambridge, 2017 by Alastair J. Smith, Clive G. Wells, and Markus Kraft

182: Design of Computer Experiments: A Review

ref: Technical Report 182, c4e-Preprint Series, Cambridge, 2017 by Sushant Garud, Iftekhar A. Karimi, and Markus Kraft

181: Towards a novel ontological infrastructure for chemical process simulation and optimization in the context of eco-industrial parks

ref: Technical Report 181, c4e-Preprint Series, Cambridge, 2017 by Li Zhou, Ming Pan, Janusz Sikorski, Sushant Garud, Leonardus Kevin Aditya, Martin J. Kleinelanghorst, Iftekhar A. Karimi, and Markus Kraft

179: A Systematic Method to Estimate and Validate Enthalpies of Formation Using Error-Cancelling Balanced Reactions

ref: Technical Report 179, c4e-Preprint Series, Cambridge, 2017 by Philipp Buerger, Jethro Akroyd, Sebastian Mosbach, and Markus Kraft

178: Blockchain technology in the chemical industry: machine-to-machine electricity market

ref: Technical Report 178, c4e-Preprint Series, Cambridge, 2016 by Janusz Sikorski, Joy Haughton, and Markus Kraft

174: J-Park Simulator: Roadmap to Smart Eco-Industrial Parks

ref: Technical Report 174, c4e-Preprint Series, Cambridge, 2016 by Martin J Kleinelanghorst, Li Zhou, Janusz Sikorski, Eddy Foo Yi Shyh, Kevin Aditya, Sebastian Mosbach, Iftekhar Karimi, Raymond Lau, Sushant Garud, Chuan Zhang, Ming Pan, Joymala Moirangthem, Yuhao Sun, Pulkit Chhabra, Khamila Nurul, Daryl Yong, Yi Ren Sng, Gehan Amaratunga, Jan Maciejowski, Hadinoto Ong, Sanjib Panda, and Markus Kraft

173: A numerical scheme for the Random Cloud Model

ref: Technical Report 173, c4e-Preprint Series, Cambridge, 2016 by Markus Kraft and Wolfgang Wagner

172: Extension of moment projection method to the fragmentation process

ref: Technical Report 172, c4e-Preprint Series, Cambridge, 2016 by Shaohua Wu, Edward K. Y. Yapp, Jethro Akroyd, Sebastian Mosbach, Rong Xu, Wenming Yang, and Markus Kraft

171: A Big Data Framework to Validate Thermodynamic Data for Chemical Species

ref: Technical Report 171, c4e-Preprint Series, Cambridge, 2016 by Philipp Buerger, Jethro Akroyd, Jacob W. Martin, and Markus Kraft

170: Development of a multi-compartment population balance model for high-shear wet granulation with Discrete Element Method

ref: Technical Report 170, c4e-Preprint Series, Cambridge, 2016 by Kok Foong Lee, Maksym Dosta, Andrew D McGuire, Sebastian Mosbach, Wolfgang Wagner, Stefan Heinrich, and Markus Kraft

168: A moment projection method for population balance dynamics with a shrinkage term

ref: Technical Report 168, c4e-Preprint Series, Cambridge, 2016 by Shaohua Wu, Edward K. Y. Yapp, Jethro Akroyd, Sebastian Mosbach, Rong Xu, Wenming Yang, and Markus Kraft

166: On the parameterisation of process flow sheet models

ref: Technical Report 166, c4e-Preprint Series, Cambridge, 2016 by Janusz Sikorski, George Brownbridge, Sushant S. Garud, Sebastian Mosbach, Iftekar A. Karimi, and Markus Kraft

164: Design technologies for eco-industrial parks: from unit operations to processes, plants and industrial networks

ref: Technical Report 164, c4e-Preprint Series, Cambridge, 2016 by Ming Pan, Janusz Sikorski, Jethro Akroyd, Sebastian Mosbach, R. Lau, and Markus Kraft

162: Outlier analysis for a silicon nanoparticle population balance model

ref: Technical Report 162, c4e-Preprint Series, Cambridge, 2015 by Sebastian Mosbach, William J. Menz, and Markus Kraft

159: Numerical simulation and parametric sensitivity study of optical band gap in a laminar co-flow ethylene diffusion flame

ref: Technical Report 159, c4e-Preprint Series, Cambridge, 2015 by Edward K. Y. Yapp, Robert I. A. Patterson, Jethro Akroyd, Sebastian Mosbach, Erin M. Adkins, J. Houston Miller, and Markus Kraft

154: Stochastic weighted particle methods for population balance equations with coagulation, fragmentation and spatial inhomogeneity

ref: Technical Report 154, c4e-Preprint Series, Cambridge, 2015 by Kok Foong Lee, Robert I. A. Patterson, Wolfgang Wagner, and Markus Kraft

152: Quantitative tools for cultivating symbiosis in industrial parks; a literature review

ref: Technical Report 152, c4e-Preprint Series, Cambridge, 2015 by Catharine A Kastner, Raymond Lau, and Markus Kraft

150: Applying Industry 4.0 to the Jurong Island Eco-industrial Park

ref: Technical Report 150, c4e-Preprint Series, Cambridge, 2014 by Ming Pan, Janusz Sikorski, Catharine A Kastner, Jethro Akroyd, Sebastian Mosbach, R. Lau, and Markus Kraft

149: A multi-compartment population balance model for high shear granulation

ref: Technical Report 149, c4e-Preprint Series, Cambridge, 2014 by Kok Foong Lee, Sebastian Mosbach, Markus Kraft, and Wolfgang Wagner

145: Microkinetic Modeling of Fischer-Tropsch Synthesis over Cobalt Catalysts

ref: Technical Report 145, c4e-Preprint Series, Cambridge, 2014 by Pooya Azadi, George Brownbridge, Immanuel Kemp, Sebastian Mosbach, John. S. Dennis, and Markus Kraft

122: Impact of powder characteristics on a particle granulation model

ref: Technical Report 122, c4e-Preprint Series, Cambridge, 2012 by Catharine A Kastner, George Brownbridge, Sebastian Mosbach, and Markus Kraft

120: Application of stochastic weighted algorithms to a multidimensional silica particle model

ref: Technical Report 120, c4e-Preprint Series, Cambridge, 2012 by William J. Menz, Robert I. A. Patterson, Wolfgang Wagner, and Markus Kraft

112: Using timescale analysis for optimising large chemical kinetic reaction mechanisms

ref: Technical Report 112, c4e-Preprint Series, Cambridge, 2012 by Rebecca Shaw, George Brownbridge, Sebastian Mosbach, Markus Kraft, and Terese Løvås

109: Bayesian parameter estimation for a jet-milling model using Metropolis-Hastings and Wang-Landau sampling

ref: Technical Report 109, c4e-Preprint Series, Cambridge, 2012 by Catharine A Kastner, Andreas Braumann, Peter L.W. Man, Sebastian Mosbach, George Brownbridge, Jethro Akroyd, Markus Kraft, and Chrismono Himawan

105: On a multivariate population balance model to describe the structure and composition of silica nanoparticles

ref: Technical Report 105, c4e-Preprint Series, Cambridge, 2011 by Shraddha Shekar, Alastair J. Smith, Markus Kraft, and Wolfgang Wagner

99: A coupled CFD-population balance approach for nanoparticle synthesis in turbulent reacting flows

ref: Technical Report 99, c4e-Preprint Series, Cambridge, 2010 by Jethro Akroyd, Alastair J. Smith, Raphael Shirley, Laurence R. McGlashan, and Markus Kraft

96: The inverse problem in granulation modelling – two different statistical approaches

ref: Technical Report 96, c4e-Preprint Series, Cambridge, 2010 by Andreas Braumann, Peter L.W. Man, and Markus Kraft

95: Comparison of the Stochastic Fields method and DQMoM-IEM as turbulent reaction closures

ref: Technical Report 95, c4e-Preprint Series, Cambridge, 2010 by Jethro Akroyd, Alastair J. Smith, Laurence R. McGlashan, and Markus Kraft

94: Simulating combustion of practical fuels and blends for modern engine applications using detailed chemical kinetics

ref: Technical Report 94, c4e-Preprint Series, Cambridge, 2010 by Andrew J Smallbone, Amit Bhave, Neal M. Morgan, Markus Kraft, Roger Cracknell, and Gautam Kalghatgi

93: Numerical study of a stochastic particle algorithm solving a multidimensional population balance model for high shear granulation

ref: Technical Report 93, c4e-Preprint Series, Cambridge, 2010 by Andreas Braumann, Markus Kraft, and Wolfgang Wagner

92: Moving Toward Establishing More Robust and Systematic Model Development for IC Engines Using Process Informatics

ref: Technical Report 92, c4e-Preprint Series, Cambridge, 2010 by Andrew J Smallbone, Amit Bhave, Andreas Braumann, Markus Kraft, Antonis Dris, and Robert McDavid

91: Automated IC engine model development with uncertainty propagation

ref: Technical Report 91, c4e-Preprint Series, Cambridge, 2010 by Andrew J Smallbone, George Brownbridge, Weerapong Phadungsukanan, Markus Kraft, and Bengt Johansson

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

ref: Technical Report 87, c4e-Preprint Series, Cambridge, 2010 by Markus Sander, Robert I. A. Patterson, Andreas Braumann, Abhijeet Raj, and Markus Kraft

84: The future of computational modelling in reaction engineering

ref: Technical Report 84, c4e-Preprint Series, Cambridge, 2009 by Markus Kraft and Sebastian Mosbach

82: Resolving conflicting parameter estimates in multivariate population balance models

ref: Technical Report 82, c4e-Preprint Series, Cambridge, 2009 by Peter L.W. Man, Andreas Braumann, and Markus Kraft

76: Numerical investigation of DQMoM-IEM as a turbulent reaction closure

ref: Technical Report 76, c4e-Preprint Series, Cambridge, 2009 by Jethro Akroyd, Alastair J. Smith, Laurence R. McGlashan, and Markus Kraft

72: A Stochastic Algorithm for Parametric Sensitivity in Smoluchowski's Coagulation Equation

ref: Technical Report 72, c4e-Preprint Series, Cambridge, 2009 by I. F. Bailleul, Peter L.W. Man, and Markus Kraft

70: Coupling algorithms for calculating sensitivities of Smoluchowski's Coagulation equation

ref: Technical Report 70, c4e-Preprint Series, Cambridge, 2009 by Peter L.W. Man, J. R. Norris, Ismael F. Bailleul, and Markus Kraft

65: Influence of Injection Timing and Piston Bowl Geometry on Diesel PCCI Combustion and Emissions

ref: Technical Report 65, c4e-Preprint Series, Cambridge, 2009 by Li Cao, Amit Bhave, Haiyun Su, Sebastian Mosbach, Markus Kraft, Antonis Dris, and Robert M. McDavid

58: A predictor-corrector algorithm for the coupling of stiff ODEs to a particle population balance

ref: Technical Report 58, c4e-Preprint Series, Cambridge, 2008 by Matthew S. Celnik, Robert I. A. Patterson, Markus Kraft, and Wolfgang Wagner

57: Emission Control: Simultaneous NO-Soot Reduction

ref: Technical Report 57, c4e-Preprint Series, Cambridge, 2008 by Markus Sander, Abhijeet Raj, Oliver R. Inderwildi, Markus Kraft, Sven Kureti, and Henning Bockhorn

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

ref: Technical Report 52, c4e-Preprint Series, Cambridge, 2007 by Abhijeet Raj, Matthew S. Celnik, Raphael Shirley, Markus Sander, Robert I. A. Patterson, Richard H. West, and Markus Kraft

47: Weighted particle methods for the Smoluchowski coagulation equation

ref: Technical Report 47, c4e-Preprint Series, Cambridge, 2007 by Robert I. A. Patterson and Markus Kraft

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

ref: Technical Report 39, c4e-Preprint Series, Cambridge, 2006 by Matthew S. Celnik, Robert I. A. Patterson, Markus Kraft, and Wolfgang Wagner

38: A simple model for the aggregate structure of soot particles

ref: Technical Report 38, c4e-Preprint Series, Cambridge, 2006 by Robert I. A. Patterson, Neal M. Morgan, and Markus Kraft

36: A quantitative investigation into the accumulation of rounding errors in numerical ODE solution

ref: Technical Report 36, c4e-Preprint Series, Cambridge, 2005 by Sebastian Mosbach and Amanda G. Turner

33: Two methods for sensitivity analysis of population balance equations by a Monte Carlo method

ref: Technical Report 33, c4e-Preprint Series, Cambridge, 2005 by Alexander Vikhansky and Markus Kraft

32: A stochastic approximation scheme and convergence theorem for particle interactions with perfectly reflecting boundaries

ref: Technical Report 32, c4e-Preprint Series, Cambridge, 2005 by Clive G. Wells

28: Population balance modelling of droplet size distribution in a RDC: inverse problem approach

ref: Technical Report 28 c4e-Preprint Series, Cambridge, 2005 by Alexander Vikhansky, Markus Kraft, M. Simon, S. Schmidt, and H.-J. Bart

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

ref: Technical Report 26, c4e-Preprint Series, Cambridge, 2004 by Robert I. A. Patterson, Jasdeep Singh, Michael Balthasar, Markus Kraft, and J. R. Norris

23: Bivariate Stochastic Modelling of Nanoparticles

ref: Technical Report 23, c4e-Preprint Series, Cambridge, 2004 by Clive G. Wells, Neal M. Morgan, Markus Kraft, and Wolfgang Wagner

22: A New Numerical Approach for the Simulation of the Growth of Inorganic Nanoparticles

ref: Technical Report 22, c4e-Preprint Series, Cambridge, 2004 by Neal M. Morgan, Clive G. Wells, Mike J. Goodson, Markus Kraft, and Wolfgang Wagner

21: Conservative method for the reduction of the number of particles in the Monte Carlo simulation method for kinetic equations

ref: Technical Report 21, c4e-Preprint Series, Cambridge, 2004 by Alexander Vikhansky and Markus Kraft

19: Modelling Nanoparticle Dynamics: Coagulation, Sintering, Particle Inception and Surface Growth

ref: Technical Report 19, c4e-Preprint Series, Cambridge, 2003 by Neal M. Morgan, Clive G. Wells, Markus Kraft, and Wolfgang Wagner

17: A New Method for the Automatic Elimination of Reactions from Large Mechanisms

ref: Technical Report 17, c4e-Preprint Series, Cambridge, 2003 by Sebastian Mosbach and Markus Kraft

16: A Monte Carlo method for identifcation and sensitivity analysis of coagulation processes

ref: Technical Report 16, c4e-Preprint Series, Cambridge, 2003 by Alexander Vikhansky and Markus Kraft

15: A combined CFD-population balance approach for multiphase turbulent fows

ref: Technical Report 15, c4e-Preprint Series, Cambridge, 2003 by Alexander Vikhansky and Markus Kraft

14: A single particle method for the stochastic simulation of coagulation processes

ref: Technical Report 14, c4e-Preprint Series, Cambridge, 2003 by Alexander Vikhansky and Markus Kraft

13: Stochastic Solution of Ordinary Differential Equations

ref: Technical Report 13, c4e-Preprint Series, Cambridge, 2003 by Sebastian Mosbach and Markus Kraft

12: A New Explicit Numerical Scheme For Large and Stiff Systems of Ordinary Differential Equations

ref: Technical Report 12, c4e-Preprint Series, Cambridge, 2003 by Sebastian Mosbach and Markus Kraft

10: Direct simulations and mass flow algorithms to solve a sintering-coagulation equation

ref: Technical Report 10, c4e-Preprint Series, Cambridge, 2003 by Clive G. Wells and Markus Kraft

9: Stochastic simulation of coalescence and breakage processes: a practical study

ref: Technical Report 9, c4e-Preprint Series, Cambridge, 2002 by Mike J. Goodson and Markus Kraft

8: Numerical Analysis of a Natural Gas Fuelled HCCI Engine with Exhaust Gas Recirculation Using a Stochastic Reactor Model

ref: Technical Report 8, c4e-Preprint Series, Cambridge, 2002 by Amit Bhave, Michael Balthasar, Markus Kraft, and Fabian Mauss

7: Partially Stirred Reactor Model: Analytical Solutions and Numerical Convergence Study of PDF/Monte Carlo Method

ref: Technical Report 7, c4e-Preprint Series, Cambridge, 2002 by Amit Bhave and Markus Kraft

5: Two approaches to the simulation of silica particle synthesis

ref: Technical Report 5, c4e-Preprint Series, Cambridge, 2002 by Dirk Grosschmidt, Henning Bockhorn, Mike J. Goodson, and Markus Kraft

4: A stochastic approach to solve the particle size distribution function of soot particles in laminar premixed flames

ref: Technical Report 4, c4e-Preprint Series, Cambridge, 2002 by Michael Balthasar and Markus Kraft

2: Modelling the Polymerisation of Methyl Methacrylate (MMA) in a Partially Stirred Reactor

ref: Technical Report 2, c4e-Preprint Series, Cambridge, 2001 by Jethro Akroyd, Markus Kraft, and Elmar Stöckelmann