AG Technomathematik

Dr. Wolfgang Bock

Büro: 48-567

Tel: +49 (0)631 205 4492

E-Mail: bock(at)mathematik.uni-kl.de

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Die Webseite der Informationsstelle zu Mathematik-Veranstaltungen für Studierende anderer Fachbereiche finden Sie hier.

 

Preprints

    1.    R. Liguarda, W.B. R. Caga-anan, Optimal Control for Tuberculosis with Exogenous Reinfection and Stigmatization, January 2021

    2.    W.B., Y. Jayathunga, An ADI Scheme for Two-sided Fractional Reaction-Diffusion Equations and Applications to an Epidemic Model, Revision December 2020,

    3.    W.B. Thomas Götz, Y. Jayathunga, R. Rockenfeller, Are the upper brounds for new SARS-CoV-" Infections in Germany useful?, Septermber 2020

    4.    N. Müller, W.B., Stochastic Perturbation of the Lighthill-Whitham-Richards Model via the Method of Stochastic Characteristics, submitted June 2020

    5.    M. Bock, W.B., Two Generalizations of Mehler's formula in White Noise Analysis, submitted revision December 2020

    6.    W.B. J. Bornales, C. Cabahug, L.Streit, A Critical Phenomenon for a One Dimensional Weakly Self-Avoiding fractional Brownian Motion, submitted April 2020

    7.    Adamik, B., Bawiec, M., Bezborodov, V., Bock, W., Bodych, M., Burgard, J., ... & Ozanski, T. Mitigation and herd immunity strategy for COVID-19 is likely to fail.  submitted April 2020

    8.    W.B., T. Fattler, L. Streit, The Edwards Model for fBm Loops and Starbursts, submitted September 2019

    9.    W.B., J.B. Bornales, L. Streit, Dynamical Properties of Gaussian Chains and Rings with Long Range Interactions, submitted July 2019

    10.    W. Bock, T. Fattler, I. Rodiah, Spatially Inhomogeneous Host-Vector Disease Transmission using Configuration Space Analysis, submitted June 2019

 

Publications in Journals of Mathematics and Mathematical Physics

    1.    P. Shamim, W. Bock, A. Klar, S. Tiwari, Disease contagion models coupled to crowd motion and mesh-free simulation, accepted for publication in M3AS

    2.    P. Heidrich, Y. Jayathunga, W.B., T. Götz, Prediction of Dengue Cases Based on Human Mobility and Seasonality - An Example for the City of Jakarta, accepted for publication in M2AS

    3.    W.B., V. Futorny, M. Neklyudov, Convex topological algebras via linear vector fields and Cuntz algebras, Journal of Pure and Applied Algebra, Vol.225, Iss. 3, (2021).

    4.    W.B., J.L. da Silva, L. Streit, Fractional Periodic Processes: Properties and an Application of Polymer Form Factors, Rep. Mat. Phys. 85 (2), 267-280 (2020).

    5.    W.B,, J.L. da Silva, H.P. Suryawan, Self-intersection Local Times for Multifractional Brownian Motion in Higher Dimensions: A White Noise Approach, accepted in Infinite Dimensional Analysis, Quantum Probability and Related Topics (2020).

    6.    W.B., J.L. da Silva, L. Streit, On the Potential in Non-Gaussian Chain Polymer Models, accepted for publication in Math. Mod. In Appl. Sci. (2019).

    7.    W.B., S. Desmettre, J.L. Silva, Integral Representation of Generalized Grey Brownian Motion, accepted for publication in Stochastics (2019).

    8.    W.B., Y. Jayathunga, Optimal control of a Multi-patch dengue model under the influence of Wolbachia bacterium, in J. Math. Bio. Sci. Eng. (2019).

    9.    W.B., T. Götz, U.P. Liyanage, Parameter estimation of fiber lay-down in nonwoven production: an occupation time approach,  Int J Adv Eng Sci Appl Math. (2018).

    10.    W.B., T. Fattler, J.L. da Silva, Analysis of the Stochastic Quantization for the Fractional Edwards measure,  Rep. Mat. Phys.  (2018).

    11.    W.B., Y. Jayathunga, Optimal Control and Basic Reproduction Numbers for a Compartemental Spatial Multipatch Dengue Model, Math. Mod. In Appl. Sci. (2018).

    12.    W.B., T. Fattler, L. Streit, Stochastic Quantization of the Fractional Edwards Measure, Acta Applicandae Mathematicae, Vol. 151, Iss. 1, (2017).

    13.    W.B., P. Capraro, The Hamiltonian Path Integral for Potentials of the Albeverio-Høegh-Krohn Class – a White Noise Approach, Reports on Mathematical Physics Vol. 79, Iss. 1, (2017).

    14.    W.B., J.L. Silva, H.P. Suryawan, Local Times for Multifractional Brownian Motion in Higher Dimensions: A White Noise Approach. Infinite Dimensional Analysis, Quantum Probability and Related Topics Vol. 19, Iss. 4, (2016).

    15.    W.B., J.B. Bornales, C. Cabahug, S. Eleuterio, L.Streit,  Scaling Properties of Weakly Self-Avoiding Fractional Brownian Motion in One Dimension. Journal of Statistical Physics. Vol 161, Iss 5, (2015).

    16.    M. Bock, W.B., Regular  Transformation Groups based on Fourier-Gauss Transforms, Communications in Stochastic Analysis (2015).

    17.    W.B., M. Grothaus, The Hamiltonian path integrand for the charged particle in a constant magnetic field as white noise distribution, Infinite Dimensional Analysis, Quantum Probability and Related Topics. Vol. 18 Iss. 2, (2015).

    18.    W.B., M. J. Oliveira, J.L. da Silva, L. Streit, Polymer measure: Varadhan's renormalization revisited. Reviews in Mathematical Physics. 27, (3), (2015).

    19.    W.B., Hamiltonian Path Integrals in Momentum Space Representation via White Noise Techniques. Rep. Mat. Phys.. 73, (1), 91-107, (2014).

    20.    W.B., T. Götz., M. Grothaus, U.P. Liyanage, Parameter Estimation from Occupation Times -A White Noise Approach. Comm. Stoch. Ana. 4, (8), 489–499, (2014).

    21.    W.B., M. Grothaus, S. Jung, The Feynman integrand for the charged particle in a constant magnetic field as White Noise distribution. Communications in Stochastic Analysis. 6, (4), 649-668, (2012).

    22.    W.B., M. Grothaus White noise approach to phase space Feynman path integrals. Teor. Imovir. Mat. Stat.. 85, (2012).

Conference Proceedings (peer reviewed)

    23.    W.B., J B. Bornales, J P Burgard, et.al. Testing, Social distancing and age specific quarantine for COVID-19: Case studies in Iligan City and Cagayan de Oro City, Philippines, Conference Proceedings AIP, Worldscientific (2020)

    24.    W.B., J. Bornales, T. Fattler, L. Streit, Fractional Brownian motion - Some Recent Results and Generalizations, , Conference Proceedings AIP, Worldscientific (2020)

    25.    W.B., T.Fattler, I. Rodiah, An Agent Based Modeling of Spatially Inhomogeneous Host-Vector Disease Transmission – ECMI Proceedings 209

    26.    W.B., J.L. da Silva, Wick type SDEs driven by grey Brownian motion, Conference Proceedings AIP, Worldscientific (2017)

    27.    W.B., T.Fattler, I. Rodiah, O.Tse, An analytic method for agent based modeling of disease spreads, Conference Proceedings AIP, Worldscientific (2017)

    28.    W.B., T.Fattler, I. Rodiah, O.Tse, Numerical Evaluation of agent based modeling of disease spreads, Conference Proceedings AIP, Worldscientific (2017)

Book Chapters

    1.    W.B, How to Use White Noise Analysis to Make Feynman Integrals Mathematically Rigorous, in Let Us Use White Noise, pp. 67-115, Mai 2017, World Scientific  

    2.    W.B, Generalized Scaling Operators in White Noise Analysis and Applications to Hamiltonian Path Integrals with Quadratic Action in Stochastic and Infinite Dimensional Analysis. Birkhäuser - Trends in Mathematics (2015).

    3.    W.B, M. Bracke, Schulmathematik – Made in Kaiserslautern in Mathematik im Fraunhofer-Institut. Springer Spektrum, (2014).

Publications in Didactics

    1.    W.B., M. Bracke, Modellierung und Simulation von Krankheitsausbreitungen.  Digitale Werkzeuge, Simulationen und mathematisches Modellieren (2018)

    2.    W.B., M. Bracke, P. Capraro, J.-M. Lantau, How does a product-based and action-orientated modelling project promote interdisciplinary teaching and learning?.  Proc. ICTMA-18.

    3.    W.B., M. Bracke, P. Capraro, J.-M. Lantau , On the positive influence of production-orientation in mathematical modelling: A research proposal, Proceedings of CERME 11

    4.    P. Capraro, W.B., M. Bracke, Mathematical modeling of musical fountains and light organs - where is the M in interdisciplinary STEM projects? Proceedings of CERME 11

    5.    W.B., M. Bracke, P. Capraro, Product Orientation in Modeling Tasks, Proceedings of CERME 10 (2017)

    6.    W.B., A. Roth, Der unmögliche Freistoß, Neue Materialien für einen realitätsbezogenen Mathematikunterricht (2016)

    7.    W.B., M. Bracke, J. Kreckler, Taxonomy of Modelling Tasks. Proceedings of the Ninth Congress of the European Society for Research in Mathematics Education, Prag,  (2015).

    8.    W.B., M. Bracke, Erfahrungen mit mathematischer Modellierung in der Hochschulausbildung,  Beiträge zum Mathematikunterricht 2015.

    9.    W.B., M. Bracke, MINT-Projektunterricht in der Sekundarstufe I: Konzepte und Herausforderungen. Beiträge zum Mathematikunterricht 2014.

    10.    W.B., M. Bracke, MINT-Projektunterricht in der Sekundarstufe I: Beispiele aus der Unterrichtspraxis. Beiträge zum Mathematikunterricht 2014.

    11.    W.B., M. Bracke, Teamcycling-Optimales Teamtraining im Radsport. Neue Materialien für einen realitätsbezogenen Mathematikunterricht 2- Realitätsbezüge im Mathematikunterricht. 1-9, (2014).

    12.    W. B., M. Bracke, Project Teaching and Mathematical Modelling in STEM Subjects: A Design Based Research Study. Proceedings of CERME 8. (2013 )

Lectures (Self concepted and held)

  • Functional Analysis, MSU-IIT, 1st term 2021
  • Selected Topics in Applied Mathematics, MSU-IIT, summer term 2020
  • Proseminar Modellierung (Modeling seminar for Bachelor students), TU Kaiserslautern, winter term 2018/19
  • Infinite Dimensional System and Control Theory, TU Kaiserslautern, summer term 2018
  • Höhere Mathematik: Funktionentheorie (Complex Analysis for Engineers), TU Kaiserslautern, summer term 2018, 2019
  • Höhere Mathematik: Numerik (Numerical methods for Engineers), TU Kaiserslautern, summer term 2018, 2019
  • Höhere Mathematik I für Ingenieure  (Higher Mathematics I for Engineers), TU Kaiserslautern,
  • Höhere Mathematik II für Ingenieure  (Higher Mathematics II for Engineers), TU Kaiserslautern, winter term  2015/16, 2017/18, 2019/20, 2020/21
  • Höhere Mathematik III Vektoranalysis für Ingenieure (Differential Geometry for Engineers), TU Kaiserslautern, winter term 2014/15
  • Mathematics Preparation Course for Engineers and Economists, TU Kaiserslautern, winter term 2016/17, 2017/18, 2018/19, 2020/21  summer term 2017, 2021


Compact Courses

  • A Primer on Machine Learning,  MSU-IIT Iligan, The Philippines, February 2020
  • AIMS Modeling week, Skype Workshop am AIM Kigali, (first Modeling week in Rwanda) Kigali, Rwanda, May 2018
  • Interacting Particle Systems and Lie Algebras, Workshop on Representation Theory and Mathematical Physics, AIMS Kigali, Rwanda, January 2018
  • A Primer on Fractional Brownian Motion, SEAMS-School, Yogjakarta, Indonesia, August 2016
  • Introduction to Financial Mathematics, DAAD-Workshop, ITB, Bandung, Indonesia, June 2015
  • Introduction to Financial Mathematics, Yogjakarta, Indonesia, May 2015
  • Introduction to Polymer Simulation, Tropical School, Jagna, Philippines, May 2015

 

Assistant for lectures

Conception and conducting of tutorials, organization of exams and tutorials

  • Höhere Mathematik I für Ingenieure  (Higher Mathematics I for Engineers), TU Kaiserslautern, summer term 2016, 2017, winter term 2014/15, 2015/16, 2016/17, 2017/18, 2018/19
  • Höhere Mathematik II für Ingenieure  (Higher Mathematics II for Engineers),TU Kaiserslautern, summer term 2016, 2017, 2018, 2019 winter term 2015/16, 2016/17, 2017/18
  • Höhere Mathematik III Vektoranalysis für Ingenieure (Differential Geometry for Engineers), TU Kaiserslautern, winter term 2018/19, 2019/20
  • Höhere Mathematik III Differentialgleichungen für Ingenieure (Differential Equations for Engineers), TU Kaiserslautern, winter term 2018/19, 2019/20
  • Höhere Mathematik: Numerik (Numerical methods for Engineers), TU Kaiserslautern, summer term 2020


Lectures and assitance before PhD.

  • Höhere Mathematik I (lecture, conception and conduction of tutorials, organization of exams and tutorials), TU Kaiserslautern, winter term 2008/09, 2009/10, 2011/12, summer term 2012
  • Höhere Mathematik II (conception and conduction of tutorials, organization of exams and tutorials), TU Kaiserslautern, winter term 2010/11, summer term 2013
  • Modeling Seminar for Master students, TU Kaiserslautern, winter term 2011
  • Mathematics Preparation Course for Engineers and Economists (lecture, conception and conduction of tutorials, organization of exams and tutorials), TU Kaiserslautern, summer term 2011
  • Grundlagen der Mathematik I (Foundations of Mathematics I) (Tutor), TU Kaiserslautern, winter term 2005/06 und 2007/08, summer term 2010
  • Grundlagen der Mathematik II (Foundations of Mathematics II) (Tutor), TU Kaiserslautern, summer term 2006, 2007 and 2009
  • Introduction to Ordinary Differential Equations (Tutor), TU Kaiserslautern, summer term 2008
  • Introduction to Functional Analysis (Tutor), TU Kaiserslautern, winter term 2006/07



Teaching experience in school

  • Additum Modellierung (Extra subject Mathematical Modeling) 1 hour per week for students of 8th grade, since school year 2018/19
  • „STEM project subject: Bioacoustics – Automatic detection of bird songs“ in the Junior Engineering Academy at Heinrich-Heine Gymnasium Kaiserslautern (3 hours per week), school year 2012/2013
  • „STEM project subject: Mathematics and Sport“ in the Junior Engineering Academy at Heinrich-Heine Gymnasium Kaiserslautern (3 hours per week), school years 2014/15 to 2016/17
  • Supervisor/Organisor in several Modelling Days and Modelling Weeks since 2008
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