Publications

2021

Wijaya2021ADE
WIjaya, Karunia Putra; Páez Chávez, Joseph; Götz, Thomas (2021): A dengue epidemic model highlighting vertical–sexual transmission and impulsive control strategies. In: Applied Mathematical Modelling. Bd. 95. S. 279-296.

Goetz2021ATS
Götz, Thomas; Bock, Wolfgang; Rockenfeller, Robert; Schäfer, Moritz (2021): A two-strain SARS-COV-2 model for Germany - Evidence from a Linearization. In: Arxiv.

Wijaya2021AEM1
Wijaya, Karunia Putra; Ganegoda, Naleen; Jayathunga, Yashika; Götz, Thomas; Schäfer, Moritz; Heidrich, Peter; , (2021): An epidemic model integrating direct and fomite transmission as well as household structure applied to COVID-19. In: J.Math.Industry. S. 1-26.

Ganegoda2021AAM
Ganegoda, Naleen; Götz, Thomas; Wijaya, Karunia Putra (2021): An age-dependent model for dengue transmission: Analysis and comparison to field data. In: Journal of Applied Mathematics and Computation. Bd. 388. S. 125538.

Wijaya2021FSA1
Wijaya, Karunia Putra; Páez Chávez, Joseph; Pochampalli, Rohit; Rockenfeller, Robert; Aldila, Dipo; Götz, Thomas; Soewono, Edy (2021): Food sharing and time budgeting in predator-prey interaction. In: Communications in Nonlinear Science and Numerical Simulation. Bd. 97. Nr. 2. S. 105757-20.

Guenther2021RON1
Günther, Michael; Rockenfeller, Robert; Weihmann, Tom; Götz, Thomas; Schmitt, Syn (2021): Rules of nature's Formula Run: Muscle mechanics during late stance is the key to explaining maximum running speed. In: Journal of Theoretical Biology. Bd. 523. Nr. 1. S. 110714 (43 pages).

Roy2021AMM
Roy, Nityananda; Wijaya, Karunia Putra; Götz, Thomas; Sundar, S. (2021): A mathematical model governing the short-range transport of microplastic particles in a lid-driven cavity with an obstacle. In: Communications in Nonlinear Science and Numerical Simulation. S. 105893.

Bock2021ATU
Bock, Wolfgang; Jayathunga, Yashika; Götz, Thomas; Rockenfeller, Robert (2021): Are the upper bounds for new SARS-CoV-2 infections in Germany useful?. In: Computational and Mathematical Biophysics. Bd. 9. Nr. 1. S. 242-260.

2020

Roy2020AIM
Roy, Nityananda; Götz, Thomas; Wiyaja, Karunia Putra; Sundar, S. (2020): An improved mathematical model for the sedimentation of microplastic particles in a lid-driven cavity with obstacle. In: ArXiv e-prints.

Goetz2020CDD
Götz, Thomas; Heidrich, Peter (2020): COVID-19 Disease Dynamics in Germany: First Models and Parameter Identification. In: medRxiv.

Wijaya2020ACE1
Wijaya, Karunia Putra; Ganegoda, Naleen; Jayatunga, Yashika; Götz, Thomas; Bock, Wolfgang; Schäfer, Moritz; Heidrich, Peter (2020): A COVID-19 epidemic model integrating direct and fomite transmission as well as household structure. In: medRxiv.

Bock2020MAH
Bock, Wolfgang; Adamik, Barbara; Bawiec, Marek; Bezborodov, Viktor; Bodych, Marcin; Burgard, Jan Pablo; Götz, Thomas; Krueger, Tyll; Migalska, Agata; Pabjan, Barbara; Ozanski, Tomasz; Rafajlowicz, Ewaryst; Rafajlowicz, Wojciech; Skubalska-Rafajlowicz, Ewa; Ryfczynska, Sara; Szczurek, Ewa; Szymanski, Piotr (2020): Mitigation and herd immunity strategy for COVID-19 is likely to fail. In: medRxiv.

Goetz2020FAT
Götz, Thomas (2020): First attempts to model the dynamics of the Coronavirus outbreak 2020. In: Arxiv.

Rockenfeller2020PEA
Rockenfeller, Robert; Herold, J.L.; Götz, Thomas (2020): Parameter estimation and experimental design for Hill-type muscles: Impulses from optimization-based modeling. In: Mathematical biosciences. Bd. 327. Nr. 1. S. 108432 (12 pages).

Schaefer2020MDF
Schäfer, Moritz; Götz, Thomas (2020): Modelling Dengue Fever Epidemics in Jakarta. In: International Journal of Applied and Computational Mathematics. Bd. 6. Nr. 84.

Rockenfeller2020EOS
Rockenfeller, Robert; Günther, Michael; Stutzig, Norman; Haeufle, Daniel F. B.; Siebert, Tobias; Schmitt, Syn; Leichsenring, Kay; Böl, Markus; Götz, Thomas (2020): Exhaustion of Skeletal Muscle Fibers Within Seconds: Incorporating Phosphate Kinetics Into a Hill-Type Model. In: Frontiers in Physiology. Bd. 11. S. 306.

Goetz2020ESC
Götz, Thomas; Heidrich, Peter (2020): Early stage COVID-19 disease dynamics in Germany: models and parameter identification. In: Journal of Mathematics in Industry. Nr. 10.

Heidrich2020TCO
Heidrich, Peter; Schäfer, Moritz; Nikouei, Mostafa; Götz, Thomas (2020): The COVID-19 outbreak in Germany – Models and Parameter Estimation. In: Communication in Biomathematical Sciences . Bd. 3. Nr. 1. S. 37-59.

Goetz2020COA
Götz, Thomas; Mohrmann, Silja; Rockenfeller, Robert; Schäfer, Moritz; Wijaya, Karunia Putra (2020): Calculation of a local COVID-19 reproduction number for the northern Rhineland-PalatinateA. In: Arxiv.

2019

Suandi2019AOM
Suandi, Dani; Wijaya, Karunia Putra; Apri, Mochamad; Sidarto, Kuntjoro Adji; Syafruddin, Din; Götz, Thomas; Soewono, Edy (2019): A one-locus model describing the evolutionary dynamics of resistance against insecticide in Anopheles mosquitoes. In: Applied Mathematics and Computation. Bd. 359. S. 90-106.

Fakhruddin2019ATI
Fakhruddin, Muhammad; Putra, Prama Setia; Wijaya, Karunia Putra; Sopaheluwakan, Ardhasena; Satyaningsih, Ratna; Komalasari, Kurnia Endah; Mamenun, ; Sumiati, ; Indratno, Sapto Wahyu; Nuraini, Nuning; Götz, Thomas; Soewono, Edy (2019): Assessing the interplay between dengue incidence and weather in Jakarta via a clustering integrated multiple regression model. In: Ecological Complexity. Bd. 39. S. 100768.

Ganegoda2019AAM
Ganegoda, Naleen; Götz, Thomas; Wijaya, Karunia Putra (2019): An Age-Dependent Model for Dengue Transmission: Analysis and Comparison to Field Data from Semarang, Indonesia. In: ArXiv e-prints. Nr. 1908.09256.

Heidrich2019MDW
Heidrich, Peter; Götz, Thomas (2019): Modelling Dengue with the SIR Model. In: Progress in Industrial Mathematics at ECMI 2018. Springer. Bd. 30. S. 175-182.

2018

Bock2018PEO
Bock, Wolfgang; Götz, Thomas; Liyanage, Uditha Prabhath (2018): Parameter estimation of fiber lay-down in nonwoven production: an occupation time approach. In: International Journal of Advances in Engineering Sciences and Applied Mathematics. Bd. 10. Nr. 1. S. 2-8.

Sundar2018SIO
(2018): Special issue on modeling, optimization and simulation. Sundar, S; Götz, Thomas: Springer. Bd. 10. Nr. 1.

2017

Chavez2017AST
Chavez, Jospeh Paez; Götz, Thomas; Siegmund, Stefan; Wijaya, Karunia Putra (2017): An SIR-Dengue transmission model with seasonal effects and impulsive control. In: Mathematical biosciences. S. 1-15.

Wijaya2017OTE
Wijaya, Karunia Putra; Sutimin, ; Soewono, Edy; Götz, Thomas (2017): On The Existence Of A Nontrivial Equilibrium In Relation To The Basic Reproductive Number. In: Int. J. Appl. Math. Comput. Sci.. Bd. 27. Nr. 3. S. 623-636.

Rockenfeller2017CT“
Rockenfeller, Robert; Guenther, Michael; Schmitt, Syn; Götz, Thomas (2017): Corrigendum to “Comparative Sensitivity Analysis of Muscle Activation Dynamics”. In: Computational and Mathematical Methods in Medicine. Bd. 2017. S. 2.

2016

Stollenwerk2016MSC
Stollenwerk, Nico; Götz, Thomas; Mateus, Luis; Wijaya, Karunia Putra; Willems, David; Skwara, Urszula; Marguta, Romona; Ghaffari, Peyman; Aguiiar, Maira (2016): Modelling spatial connectivity in epidemiological systems, dengue fever in Thailand on networks from radiation models. In: AIP Conference Proceedings International Conference of Numerical Analysis and Applied Mathematics 2015 (ICNAAM 2015). AIP Publishing. Bd. 1738. S. 390011-4.

Goetz2016MDD
Götz, Thomas; Altmeier, Nicole; Bock, Wolfgang; Rockenfeller, Robert; Sutimin, ; Wijaya, Karunia Putra (2016): Modeling dengue data from Semarang, Indonesia. In: Ecological Complexity.

2015

Goetz2015OPI
Götz, Thomas; Rockenfeller, Robert; Wijaya, Karunia Putra (2015): Optimization problems in epidemiology, biomechanics & medicine. In: International Journal of Advances in Engineering Sciences and Applied Mathematics. S. 25-32.

Goetz2015NOS
Götz, Thomas; Klar, Axel (2015): Nonexistence of steady solutions for rotational slender fibre spinning with surface tension. In: ArXiv e-prints. Nr. 1507.04200.

Rockenfeller2015OCO
Rockenfeller, Robert; Götz, Thomas (2015): Optimal Control of Isometric Muscle Dynamics. In: Journal of Mathematical and Fundamental Sciences. Nr. 1. S. 12-30.

Rockenfeller2015CSA
Rockenfeller, Robert; Götz, Thomas; Schmitt, Syn; Guenther, Michael (2015): Comparative Sensitivity Analysis of Muscle Activation Dynamics. In: Computational and Mathematical Methods in Medicine. Nr. Article ID 585409. S. 16.

Goetz2015WSM1
Götz, Thomas; Siller, Hans-Stefan (2015): Wann soll man tanken?. In: Der Mathematikunterricht. Bd. 61. Nr. 5. S. 20-26.

Bracke2015MHD
Bracke, Martin; Götz, Thomas; Siller, Hans-Stefan (2015): Mit Hilfe der Mathematik zum Gipfel. In: Der Mathematikunterricht. Bd. 61. Nr. 5. S. 7-12.

Wijaya2015AIM
Wijaya, Karunia Putra; Götz, Thomas; Soewono, Edy (2015): Advances in mosquito dynamics modeling. In: Math. Meth. Appl. Sci..

Goetz2015SOB
(2015): Symposium On Biomathematics (Symomath 2014). Götz, Thomas; Suryanto, Agus: AIP Publishing. Bd. 1651.

2014

Rockenfeller2014CDM
Rockenfeller, Robert; Guenther, Michael; Schmitt, Syn; Götz, Thomas (2014): Comparing different muscle activation dynamics using sensitivity analysis. In: arXiv.org.

Wijaya2014AOC1
Wijaya, Karunia Putra; Götz, Thomas; Soewono, Edy (2014): An optimal control model of mosquito reduction management in a dengue endemic region. In: International Journal of Biomathematics. S. 1450056.

Goetz2014MMZ
Götz, Thomas (2014): Mathematische Modellierung - zwei Beispiele aus der Unterrichtspraxis an Schule und Uni. In: Roth, Jürgen; Ames, Judith: Beiträge zum Mathematikunterricht 2014. Münster: WTM-Verlag. S. 439-442.

Bock2014PEF
Bock, Wolfgang; Götz, Thomas; Grothaus, Martin; Liyanage, Uditha Prabhath (2014): Parameter Estimation from Occupation Times - A White Noise Approach. In: Communications in Stochastic Analysis. Bd. 4. Nr. 8. S. 489-499.

2013

Wijaya2013TSA1
Wijaya, Karunia Putra; Götz, Thomas; Soewono, Edy; Nuraini, Nuning (2013): Temephos spraying and thermal fogging efficacy on Aedes aegypti in homogeneous urban residences. In: scienceasia.org. Bd. 39S. S. 48--56.

Bracke2013MDS
Bracke, Martin; Göttlich, Simone; Götz, Thomas (2013): Modellierungsproblem Dart spielen. In: Mathematisches Modellieren für Schule und Hochschule. Wiesbaden: Springer Fachmedien Wiesbaden. S. 147-162.

2012

Aldila2012AOC
Aldila, Dipo; Götz, Thomas; Soewono, Edy (2012): An optimal control problem arising from a dengue disease transmission model. In: Mathematical biosciences.

2010

Goetz2010OCO
Götz, Thomas; Perera, S S N (2010): Optimal control of melt-spinning processes. In: Journal of Engineering Mathematics. Bd. 67. S. 153--163.

Goetz2010AMF
Götz, Thomas (2010): Asymptotic Methods for Fluid Problems. TU Kaiserslautern.

Goetz2010SAO
Götz, Thomas; Selvanayagam, K (2010): Simulation and Optimization of Film Casting Processes. In: Fitt, AD; Norbury, J; Ockendon, H; Wilson, E: Progress in Industrial Mathematics at ECMI 2008. Springer. S. 697--702.

2009

Goetz2009SAO
Götz, Thomas; Perera, S S N (2009): Stability analysis of the melt spinning process with respect to parameters. In: ZAMM-Journal of Applied Mathematics and Mechanics/Zeitschrift für Angewandte Mathematik und Mechanik. Bd. 89. Nr. 11. S. 874--880.

Selvanayagam2009OCO
Selvanayagam, K; Götz, Thomas; Sundar, S; Vetrivel, V (2009): Optimal control of film casting processes. In: International Journal for Numerical Methods in Fluids.

Selvanayagam2009ODS
Selvanayagam, K; Götz, Thomas; Sundar, S; Vetrivel, V (2009): Optimal die shape for film casting. In: Applied Mathematics Letters.

2008

Bonilla2008HLO
Bonilla, LL; Götz, Thomas; Klar, Axel; Marheineke, Nicole; Wegener, Raimund (2008): Hydrodynamic limit of a Fokker-Planck equation describing fiber lay-down processes. In: SIAM Journal on Applied Mathematics. Bd. 68. Nr. 3. S. 648--665.

Goetz2008AOF
Götz, Thomas; Klar, Axel; Unterreiter, Andreas (2008): Asymptotics of Fiber Spinning Equations. In: MATHEMATICS IN INDUSTRY.

Goetz2008NEF
Götz, Thomas; Klar, Axel; Unterreiter, Andreas; Wegener, Raimund (2008): Numerical evidence for the non-existence of stationary solutions of the equations describing rotational fiber spinning. In: Mathematical Models & Methods In Applied Sciences. Bd. 18. Nr. 10. S. 1829-1844.

2007

Goetz2007ASM
Götz, Thomas; Klar, Axel; Marheineke, Nicole; Wegener, Raimund (2007): A stochastic model and associated Fokker-Planck equation for the fiber lay-down process in nonwoven production processes. In: SIAM Journal of Applied Mathematics. Bd. 67. Nr. 6. S. 1704--1717 (electronic).

Goetz2007NPF
Götz, Thomas; Pinnau, Rene (2007): Nanoscale Poiseuille flow of charged particles. In: Journal of Mathematical Analysis and Applications.

2006

Goetz2006OCO
Götz, Thomas; Struckmeier, Jens; Pinnau, Rene (2006): Optimal Control of Crystallization Processes. In: Mathematical Models & Methods In Applied Sciences. Bd. 16. Nr. 12. S. 2029--2045.

Goetz2006COC
Götz, Thomas; Pinnau, Rene; Struckmeier, Jens (2006): Control of Crystallization Processes. In: PAMM.

2005

Goetz2005SPI
Götz, Thomas (2005): Simulating particles in Stokes flow. In: Journal of Computational and Applied Mathematics. Bd. 175. Nr. 2. S. 415--427.

Goetz2005OAA
Götz, Thomas; Parhusip, H (2005): On an asymptotic expansion for Carreau fluids in porous media. In: Journal of Engineering Mathematics.

Goetz2005OCF
Götz, Thomas; Pinnau, Rene; Struckmeier, Jens (2005): Optimal Control for non-isothermal crystallization of polymers. In: PAMM.

Goetz2005ASM
Götz, Thomas; Struckmeier, Jens (2005): A simplified model for non-isothermal crystallization of polymers. In: Mathematical and Computer Modelling. Bd. 42. S. 353--361.

Mohyuddin2005RBO
Mohyuddin, M; Götz, Thomas (2005): Resonance behaviour of viscoelastic fluid in Poiseuille flow in the presence of a transversal . . .. In: Int. J. Numer. Meth. Fluids.

2003

Goetz2003MMO
Götz, Thomas; Trihandaru, Suryasatriya; Siregar, Septoratno (2003): Mathematical model of dilute polymer solution flow in porous media with application in enhanced oil recovery. In: Bulletin of the Indonesian Society of Petroleum Engineers. Bd. 24. S. 1--22.

2002

Goetz2002AMF
Götz, Thomas (2002): Asymptotic Methods for Air-Flow Around Fibers. In: Progress in industrial mathematics at ECMI 2000.

Goetz2002CHC
Götz, Thomas (2002): Coupling heat conduction and radiative transfer. In: Journal Of Quantitative Spectroscopy & Radiative Transfer. Bd. 72. Nr. 1. S. 57--73.

Goetz2002OCS
Götz, Thomas (2002): On collocation schemes for integral equations arising in slender-body approximations of flow . . .. In: Journal of Engineering Mathematics.

Larsen2002SPT
Larsen, Edward W; Thömmes, Guido; Klar, Axel; Seaid, Mohammed; Götz, Thomas (2002): Simplified Pn-approximations to the equations of radiative heat transfer and applications. In: Journal of Computational Physics. Bd. 183. Nr. 2. S. 652--675.

Thoemmes2002NMA
Thömmes, Guido; Pinnau, Rene; Seaid, Mohammed; Götz, Thomas; Klar, Axel (2002): Numerical methods and optimal control for glass cooling processes. In: Transport Theory And Statistical Physics. Bd. 31. Nr. 4-6. S. 513--529.

2001

Usha2001SOA
Usha, R; Götz, Thomas (2001): Spinning of a liquid film from a rotating disc in the presence of a magnetic field---a numerical solution. In: Acta mechanica. Bd. 147. Nr. 1-4. S. 137--151.

Goetz2001SOT
Götz, Thomas; Rave, H.; Reinel-Bitzer, Doris; Steiner, Konrad; Tiemeier, H. (2001): Simulation of the fiber spinning process. Fraunhofer ITWM. Nr. 26. ITWM-Berichte.

Rave2001SOT
Rave, H.; Tiemeier, H.; Götz, Thomas; Reinel-Bitzer, Doris; Steiner, Konrad (2001): Simulation of the fiber spinning process. In: Chemical fibers international. Bd. 51. Nr. 6. S. 427-430.

2000

Goetz2000IOF
Götz, Thomas (2000): Interactions of Fibers and Flow: Asymptotics, Theory and Numerics. TU Kaiserslautern. PhD-thesis.

Goetz2000AAN
Götz, Thomas; Unterreiter, Andreas (2000): Analysis and Numerics of an Integral Equation Model for Slender Bodies in Low Reynolds . . .. In: J. Integral Equations Appl.

1997

Goetz1997UZK
Götz, Thomas (1997): Untersuchungen zur Kopplung von Wärmeleitung und Wärmestrahlung. TU Kaiserslautern. Diplomarbeit.