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5people:0former:koellermeier:start [2018/07/29 13:37]
julian [Talks, Posters & Presentations]
5people:0former:koellermeier:start [2018/12/12 10:18] (current)
julian [About me]
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 ====== Dr. Julian Köllermeier ====== ====== Dr. Julian Köllermeier ======
-<color red>(Old website ​of a former member, who has left MathCCES+{{https://​www.researchgate.net/​profile/​Julian_Koellermeier|Julian Koellermeier on ResearchGate}} 
-see also [[5people:​0former:​start|list of former members]])</​color> ​+ 
 +<color red>(Website ​of a former member, who has recently ​left MathCCES)</​color> ​
 \\ \\
  
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 ====== News ====== ====== News ======
-    * I started as **PostDoc researcher** in the group of Prof. Klein at FU Berlin ​in October ​2017 with a Joint Postdoctoral Fellowship of FU Berlin and Peking University+    * I started as **PostDoc researcher** in the group of Prof. Ruo Li at Peking University, China, ​in October ​2018 with a Joint Postdoctoral Fellowship of FU Berlin and Peking University.
 ====== Open Projects for Students ====== ====== Open Projects for Students ======
     * Project 1: {{:​5people:​koellermeier:​project_offer_ann.pdf|Artificial Neural Network (at FU Berlin)}}     * Project 1: {{:​5people:​koellermeier:​project_offer_ann.pdf|Artificial Neural Network (at FU Berlin)}}
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 ====== About me ====== ​ ====== About me ====== ​
-am PostDoc in the group of [[http://​www.mi.fu-berlin.de/​math/​groups/​fluid-dyn/​members/​rupert_klein.html|Prof. Klein]] at Freie Universität Berlin.+recently started as a PostDoc in the group of [[http://​dsec.pku.edu.cn/​~rli/​index.php|Prof. Li]] at Peking University, Beijing, China. 
 +Before, I was PostDoc in the group of [[http://​www.mi.fu-berlin.de/​math/​groups/​fluid-dyn/​members/​rupert_klein.html|Prof. Klein]] at Freie Universität Berlin.
 I studied at RWTH Aachen University and did my PhD in Mathematics with [[5people:​torrilhon:​start|Prof. Torrilhon]]. I studied at RWTH Aachen University and did my PhD in Mathematics with [[5people:​torrilhon:​start|Prof. Torrilhon]].
 \\  \\ 
-  * since **10/​2017** ​ PostDoc at Freie Universität Berlin \\+  * since **10/​2018** ​ PostDoc at Peking University \\ 
 +  * **10/2017-09/2018**  PostDoc at Freie Universität Berlin \\
   * **7/​2017** ​ PhD in Applied Computational Mathematics at MathCCES, RWTH Aachen University \\   * **7/​2017** ​ PhD in Applied Computational Mathematics at MathCCES, RWTH Aachen University \\
   * **09/​2013** ​ M.Sc. in Computational Engineering Science at RWTH Aachen University \\   * **09/​2013** ​ M.Sc. in Computational Engineering Science at RWTH Aachen University \\
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 ====== Teaching ====== ====== Teaching ======
-  * [[http://​www.mathcces.rwth-aachen.de/​3teaching/​0classes/​archiv/​gdgl|Gewöhnliche Differentialgleichungen]], SS 2017, RWTH Aachen University+  * Mathematik für Geowissenschaftler II, SS 2018, FU Berlin 
 +  * Gewöhnliche Differentialgleichungen,​ SS 2017, RWTH Aachen University
   * Mathematische Grundlagen III (CES), WS 2016/2017, RWTH Aachen University   * Mathematische Grundlagen III (CES), WS 2016/2017, RWTH Aachen University
   * Analysis für Informatiker,​ WS 2015/2016, RWTH Aachen University   * Analysis für Informatiker,​ WS 2015/2016, RWTH Aachen University
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   * Mathematische Grundlagen I-V (CES), 2009-2012, student teaching assistant, RWTH Aachen University   * Mathematische Grundlagen I-V (CES), 2009-2012, student teaching assistant, RWTH Aachen University
  
-====== ​Publications,​ Projects and Theses ​======+ 
 +====== ​Submitted papers ​====== 
 +  * **Accelerating the Convergence of Moment Models for the Boltzmann Equation Using Filters**, Julian Koellermeier,​ Yuwei Fan, submitted
   * **Diagram notation for the derivation of hyperbolic moment systems**, Julian Koellermeier,​ Yuwei Fan, submitted   * **Diagram notation for the derivation of hyperbolic moment systems**, Julian Koellermeier,​ Yuwei Fan, submitted
-  ​* **Two-Dimensional Simulation of Rarefied Gas Flows Using Quadrature-Based Moment Equations**,​ Julian Koellermeier,​ Manuel Torrilhon, SIAM Multiscale Model. Simul., 16(2), 1059–1084,​ 2018 {{:5people:​koellermeier:​2D_paper_mms.pdf|.}} + 
-  * **Simplified Hyperbolic ​Moment Equations**,​ J. Köllermeier,​ M. Torrilhon, ​In: Klingenberg C., Westdickenberg M. (edsTheoryNumerics and Applications of Hyperbolic Problems IIHYP 2016Springer Proceedings in Mathematics & Statistics, vol 237, 2018 +====== Peer-reviewed papers ====== 
-  * **Derivation and Numerical ​Solution ​of Hyperbolic Moment Equations ​for Rarefied Gas Flows**, Julian KoellermeierdissertationRWTH Aachen University, 2017 {{:5people:​koellermeier:​dissertation_koellermeier_published.pdf|.}} +  ​* **Two-Dimensional Simulation of Rarefied Gas Flows Using Quadrature-Based Moment Equations**,​ Julian Koellermeier,​ Manuel Torrilhon, SIAM Multiscale Model. Simul., 16(2), 1059–1084,​ 2018 [[http://www.researchgate.net/​publication/​326004537_Two-Dimensional_Simulation_of_Rarefied_Gas_Flows_Using_Quadrature-Based_Moment_Equations|download]] 
-  * **Simplified Hyperbolic Moment ​Equations**,​ J. Köllermeier,​ M. Torrilhon, ​Springer Proceedings in Mathematics and StatisticsProceedings of the 16th International Conference on Hyperbolic Problems {{:5people:​koellermeier:​hyp_koellermeier.pdf|.}} +  * **Numerical Study of Partially Conservative ​Moment Equations ​in Kinetic Theory**, J. Köllermeier,​ M. Torrilhon, ​Commun. in Comput. Phys., 21(4), p981-1011, 2017 [[https://​www.researchgate.net/​publication/​314717841_Numerical_Study_of_Partially_Conservative_Moment_Equations_in_Kinetic_Theory|download]] 
-  * **Numerical Study of Partially Conservative Moment Equations in Kinetic ​Theory**, J. Köllermeier,​ M. Torrilhon, ​Communin ComputPhys., 21(4)p. 981-10112017 {{:​5people:​koellermeier:1D_nc_numerics.pdf|.}} +  * **Numerical ​solution ​of hyperbolic moment models ​for the Boltzmann equation**, J. KöllermeierM. TorrilhonEur. J. Mech. B-Fluids, 64, p. 41-46, 2017 [[https://www.researchgate.net/​publication/​310811860_Numerical_solution_of_hyperbolic_moment_models_for_the_Boltzmann_equation|download]] 
-  * **Numerical solution of hyperbolic moment models ​for the Boltzmann equation**, J. Köllermeier, ​MTorrilhonEurJMechB-Fluids64p41-462017 {{:5people:koellermeier:​negf_paper.pdf|.}} +  * **Model Reduction of Kinetic ​Equations ​by Operator Projection**, Y. Fan, J. Köllermeier, J. Li, R. Li, M. Torrilhon, ​J. Stat. Phys.162(2), p. 457-486, 2016 [[https://​www.researchgate.net/​publication/​269998002_Model_Reduction_of_Kinetic_Equations_by_Operator_Projection|download]] 
-  * **Shock structure simulation using hyperbolic moment models in partially-conservative form**, J. Köllermeier,​ M. Torrilhon, Proceedings of the 30th Symposium on Rarefied Gas Dynamics, AIP Conf. Proc. 1786, 140004, 2016 {{:5people:​koellermeier:​RGD30_proceeding.pdf|.}} +  * **A Framework for Hyperbolic Approximation ​of Kinetic ​Equations Using Quadrature-Based Projection Methods**, J. Köllermeier, R. P. Schärer, M. Torrilhon, ​KinetRelatMod., 5(3) p.531-5492014 [[https://www.researchgate.net/​publication/​272695881_A_framework_for_hyperbolic_approximation_of_kinetic_equations_using_quadrature-based_projection_methods|download]] 
-  * **Model Reduction of Kinetic Equations by Operator Projection**,​ Y. Fan, J. Köllermeier,​ J. Li, R. Li, M. Torrilhon, J. Stat. Phys., 162(2), p. 457-486, 2016 {{:​5people:​koellermeier:​operator_projection.pdf|.}} +  * **Solving a Non-Linear Partial Differential Equation ​for the Simulation of Tumour Oxygenation**, J. Köllermeier, ​LKuschTLajewski, SIAM Undergraduate Research Online, 5, p.128-147, 2012 [[https://​www.researchgate.net/​publication/​275400540_Solving_a_Non-Linear_Partial_Differential_Equation_for_the_Simulation_of_Tumour_Oxygenation|download]] 
-  * **On new hyperbolic moment models for the Boltzmann equation**, J. Köllermeier,​ M. Torrilhon, Conference Proceedings of the YIC GACM 2015, Publication Server of RWTH Aachen University, p.142-145, 2015 {{:5people:​koellermeier:​YIC_proceeding_jkoellermeier.pdf|.}} + 
-  * **Hyperbolic moment equations using quadrature-based projection methods**, J. Köllermeier,​ M. Torrilhon, Proceedings of the 29th Symposium on Rarefied Gas Dynamics, AIP Conf. Proc. 1628, p.626-633, 2014 {{:5people:​koellermeier:​hyperbolic_moment_equations_rgd.pdf|.}} +====== Peer-reviewed conference proceedings ====== 
-  * **A Framework for Hyperbolic ​Approximation of Kinetic ​Equations ​Using Quadrature-Based Projection Methods**, J. KöllermeierR. P. SchärerM. TorrilhonKinetRelatMod., 5(3) p.531-549, 2014 {{:​5people:​koellermeier:​Framework_Quadrature-Based_Projection_Methods.pdf|.}}+  * **Simplified Hyperbolic Moment Equations**J. KöllermeierMTorrilhonInKlingenberg C., Westdickenberg M. (eds) Theory, Numerics and Applications of Hyperbolic Problems II. HYP 2016. Springer Proceedings in Mathematics & Statistics, vol 237, 2018 [[https://www.researchgate.net/​publication/​320323661_Simplified_Hyperbolic_Moment_Equations|download]] 
 +  * **Shock structure simulation using hyperbolic moment models in partially-conservative form**, J. Köllermeier,​ M. Torrilhon, Proceedings of the 30th Symposium on Rarefied Gas Dynamics, AIP Conf. Proc. 1786, 140004, 2016 [[https://www.researchgate.net/​publication/​310396331_Shock_structure_simulation_using_hyperbolic_moment_models_in_partially-conservative_form|download]] 
 +  * **On new hyperbolic moment models for the Boltzmann equation**, J. Köllermeier,​ M. Torrilhon, Conference Proceedings of the YIC GACM 2015, Publication Server of RWTH Aachen University, p.142-145, 2015 [[https://www.researchgate.net/​publication/​312981724_On_new_hyperbolic_moment_models_for_the_Boltzmann_equation|download]] 
 +  * **Hyperbolic moment equations using quadrature-based projection methods**, J. Köllermeier,​ M. Torrilhon, Proceedings of the 29th Symposium on Rarefied Gas Dynamics, AIP Conf. Proc. 1628, p.626-633, 2014 [[https://www.researchgate.net/​publication/​292782185_Hyperbolic_moment_equations_using_quadrature-based_projection_methods|download]] 
 + 
 +====== Theses ====== 
 +  * **Derivation and Numerical Solution of Hyperbolic ​Moment ​Equations ​for Rarefied Gas Flows**, Julian KoellermeierdissertationRWTH Aachen University2017 [[https://​www.researchgate.net/​publication/​320243897_Derivation_and_numerical_solution_of_hyperbolic_moment_equations_for_rarefied_gas_flows|download]]
   * **Hyperbolic Approximation of Kinetic Equations Using Quadrature-Based Projection Methods**, J. Köllermeier,​ Master thesis, RWTH Aachen University, 2013 {{:​5people:​koellermeier:​master_thesis.pdf|.}}   * **Hyperbolic Approximation of Kinetic Equations Using Quadrature-Based Projection Methods**, J. Köllermeier,​ Master thesis, RWTH Aachen University, 2013 {{:​5people:​koellermeier:​master_thesis.pdf|.}}
   * **Stochastic Particle Methods for Rarefied Gases**, J. Köllermeier,​ seminar work, RWTH Aachen University, 2013 {{:​5people:​koellermeier:​seminar_paper.pdf|.}}   * **Stochastic Particle Methods for Rarefied Gases**, J. Köllermeier,​ seminar work, RWTH Aachen University, 2013 {{:​5people:​koellermeier:​seminar_paper.pdf|.}}
   * **Comparison of Time-Stepping Schemes for Compressible Gas Dynamics**, J. Köllermeier,​ Bachelor thesis, RWTH Aachen University, 2012 {{:​5people:​koellermeier:​bachelor_thesis.pdf|.}}   * **Comparison of Time-Stepping Schemes for Compressible Gas Dynamics**, J. Köllermeier,​ Bachelor thesis, RWTH Aachen University, 2012 {{:​5people:​koellermeier:​bachelor_thesis.pdf|.}}
-  * **Solving a Non-Linear Partial Differential Equation for the Simulation of Tumour Oxygenation**,​ J. Köllermeier,​ L. Kusch, T. Lajewski, SIAM Undergraduate Research Online, 5, p.128-147, 2012, available online at [[http://​dx.doi.org/​10.1137/​11S011365|SIURO]] 
   * **Implementation of Implicit Solution Techniques for Non-Equilibrium Hypersonic Flows**, J. Köllermeier,​ von Karman Institute for Fluid Dynamics, Short Training Report 2012-04, 2012 {{:​5people:​koellermeier:​stp_report.pdf|.}}   * **Implementation of Implicit Solution Techniques for Non-Equilibrium Hypersonic Flows**, J. Köllermeier,​ von Karman Institute for Fluid Dynamics, Short Training Report 2012-04, 2012 {{:​5people:​koellermeier:​stp_report.pdf|.}}
   * **Asymptotic Accuracy for Boundary Value Problems**, J. Köllermeier,​ M. Torrilhon, project work, RWTH Aachen University, 2011 {{:​5people:​koellermeier:​Asymptotic_Accuracy_for_Boundary_Value_Problems.pdf|.}}   * **Asymptotic Accuracy for Boundary Value Problems**, J. Köllermeier,​ M. Torrilhon, project work, RWTH Aachen University, 2011 {{:​5people:​koellermeier:​Asymptotic_Accuracy_for_Boundary_Value_Problems.pdf|.}}
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 ====== Talks, Posters & Presentations ====== ====== Talks, Posters & Presentations ======
 +  * **Using Projective Integration for Accelerated Computation of Stiff ODEs**, invited talk, University of Science and Technology Beijing, December 11th, 2018 {{:​5people:​koellermeier:​talk_USTB_PI.pdf|.}}
 +  * **Projective Integration for Moment Equations**,​ seminar talk, Peking University, November 21st, 2018 {{:​5people:​koellermeier:​talk_Beijing2018_PI.pdf|.}}
 +  * **Filtered Hyperbolic Moment Equations**,​ lecture, Peking University, October 23rd, 2018 {{:​5people:​koellermeier:​lecture_beijing2018.pdf|.}}
 +  * **Hyperbolic Moment Models for Rarefied Gases: Recent Developments and Future Projects**, seminar talk, Peking University, October 17th, 2018 {{:​5people:​koellermeier:​talk_beijing2018.pdf|.}}
 +  * **Adaptive Simulation of Rarefied Gases Using Hierarchical Moment Models**, International Congress of Mathematicians,​ Rio de Janeiro, August 3rd, 2018 {{:​5people:​koellermeier:​talk_ICM18.pdf|.}}
   * **Improving the Convergence of Moment Methods for Rarefied Gases Using Filters**, 31st International Symposium on Rarefed Gas Dynamics, Glasgow, July 26th, 2018 {{:​5people:​koellermeier:​talk_RGD18.pdf|.}}   * **Improving the Convergence of Moment Methods for Rarefied Gases Using Filters**, 31st International Symposium on Rarefed Gas Dynamics, Glasgow, July 26th, 2018 {{:​5people:​koellermeier:​talk_RGD18.pdf|.}}
   * **Accelerated convergence of moment models for the Boltzmann equation using filters**, KU Leuven, Leuven, June 14th, 2018 {{:​5people:​koellermeier:​talk_leuven.pdf|.}}   * **Accelerated convergence of moment models for the Boltzmann equation using filters**, KU Leuven, Leuven, June 14th, 2018 {{:​5people:​koellermeier:​talk_leuven.pdf|.}}