My Publications

(with Roswitha März) On the computation of accurate initial conditions for linear higher-index differential-algebraic equations and its application in initial value solvers Numerical Algorithms, 2025
(with Roswitha März) Canonical subspaces of linear time-varying differential-algebraic equations and t heir usefulness for formulating accurate initial conditions DAE Panel 2023 (ISSN 2939-9084), https://doi.org/10.52825/dae-p.v1i.191
On the sensitivity of implementations of a least-squares collocation method for linear higher-index differential-algebraic equations. Numer Algorithms, 91(2022), 1721--1754, https://doi.org/10.1007/s11075-022-01320-z
(with Roswitha März) Towards a reliable implementation of least-squares collocation for higher-index differential-algebraic equations. Part 2: The discrete least-squares problem. Numer Algorithms, 89(2022), 965--986, https://dx.doi.org/10.1007/s11075-021-01141-6
(with Roswitha März) Towards a reliable implementation of least-squares collocation for higher-index differential-algebraic equations. Part 1: Basics and ansatz function choices. Numer Algorithms, 89(2022), 931--963, http://dx.doi.org/10.1007/s11075-021-01140-7
(with Roswitha März) Basic characteristics of differential-algebraic operators. In: T. Reis et al. (eds.), Progress in Differential-Algebraic Equations II, Springer 2020, 39--70, https://doi.org/10.1007/978-3-030-63904-4_2
(with Roswitha März) Least-squares collocation for higher-index DAEs: Global approach and attempts towards a time-stepping version. In: T. Reis et al. (eds.), Progress in Differential-Algebraic Equations II, Springer 2020, 91-135, https://doi.org/10.1007/978-3-030-63904-4 _4
(with Roswitha März) Convergence analysis of least-squares collocation metods for nonlinear higher-index differential-algebraic equations. J Comp Appl Math, 387(2021), 112514, https://doi.org/10.1016/j.cam.2019.112514
(with Roswitha März) A reliable direct numerical treatment of differential-algebraic equations by overdetermined collocation: An operator approach. J Comp Appl Math, 387(2021), 112520, https://doi.org/10.1016/j.cam.2019.112520
(with Roswitha März, Caren Tischendorf) Least-squares collocation for higher-index linear differential-algebraic equations: Estimating the instability threshold. Math Comp 88(2019), 1647-1683, doi: https://doi.org/10.1090/mcom/3393
(with Ekaterina Brocke, Mikael Djurfeldt, Uphinder S. Bhalla, Jeanette Hellgren Kotaleski) Multirate method for co-simulation of electrical-chemical systems in multiscale modeling, J Comput Neurosci 42(2017)3, 245-256, doi: 10.1007/s10827-017-0639-7
(with Roswitha März, Caren Tischendorf, Ewa Weinmüller, Stefan Wurm) Least-Squares Collocation for Linear Higher-Index Differential-Algebraic Equations, J Comp Appl Math 317(2017), 403-431 , doi: 10.1016/j.cam.2016.12.017
(with Ekaterina Brocke, Uphinder Singh Bhalla, Mikael Djurfeldt, Jeanette Hellgren Kotaleski) Efficient Integration of Coupled Electrical-chemical Systems in Multiscale Neuronal Simulations. Frontiers in Comput Neuroscience 10(2016), 97, doi: 10.3389/fncom.2016.00097
(with Kristian Dreij, Qasim Ali Chaudhry, Ralf Morgenstern) Surface reactions on the cytoplasmatic membranes -- mathematical modeling of reaction and diffusion systems in a cell. J Comp Appl Math 262(2014), 244-260, doi: 10.1016/j.cam.2013.09.026
(with Kristian Dreij, Qasim Ali Chaudhry, Bengt Jernström, Ralf Morgenstern) A Method for Efficient Calculation of Diffusion and Reactions of Lipophilic Compounds in Complex Cell Geometry. PLoS ONE 6(2011)8, e23128. doi:10.1371/journal.pone.0023128
(with Qasim Ali Chaudhry, Ralf Morgenstern) On the numerical approximation of drug diffusion in complex cell geometry. In: Proceeding FIT '09 Proceedings of the 6th International Conference on Frontiers of Information Technology (ISBN 9781605586427). DOI 10.1145/1838002.1838021
(with Magnus Strömgren) On the numerical approximation of a degenerated hyperbolic system. Mathematics and Computers in Simulation, 79(2009), 1585-1602
(with Marry-Chriz Cabauatan-Villanueva) On the simulation of the metabolism in mammalian cells using homogenization methods. In: Jean-Marc Petit and Oumnia Squalli, eds., Proceedings of the European Comsol Conference 2007, Grenoble, France, 40-46
(with Alexei Loubenets) An immersed finite element method and its convergence for elliptic interface problems with discontinuous coefficients and singular sources. Stockholm: Royal Inst. of Technology 2007 (Report TRITA-NA-2007:3)
(with Alexei Loubenets) A non-conforming finite element method for interface Stokes problems and its application to two-phase Rayleigh-Taylor instability with solid obstacles. Stockholm: Royal Inst. of Technology 2007 (Report TRITA-NA-2007:4)
(with Timo Reis) The perturbation and ADAE index of a degenerated hyperbolic system modelling a heat exchanger. Results in Math., 53(2009), 103--127
(with Marry-Chriz Cabauatan-Villanueva) Analytical And Numerical Approximation of Effective Diffusivities in The Cytoplasm of Biological Cells. Stockholm: Royal Inst. of Technology 2007 (Report TRITA-NA-2007:6)
(with Tanweer Ali, Alexei Loubenets) Highly accurate finite element method for one-dimensional elliptic interface problems. Appl. Numer. Math., 59(2009), 119-134
(with A. Loubenets, B. Engquist) A Fixed Grid Finite Element Method for Elliptic Interface Problems. Submitted.
Benchmarking Femlab 3.1i: Solid Structural Mechanics. Stockholm: Royal Inst. of Technology 2005 (Report TRITA-NA-0546)
(with K. Henrik A. Olsson, Magnus Strömgren) Stability Analysis of a Degenerate Hyperbolic System Modelling a Heat Exchanger. Mathematics and Computers in Simulation, 74(2007)1, 8-19
(with K. Henrik A. Olsson, Magnus Strömgren) Stability Analysis of a a Reduced Heat Exchanger Model. PAMM 5(2005), 805-806
A note on the consistent initialization for nonlinear index-2 differential-algebraic equations in Hessenberg form. Stockholm: Royal Inst. of Technology 2004 (PSCI report 04:02)
Benchmarking \fel{} 3.0a: Laminar Flows in 2D. Stockholm: Royal Inst. of Technology 2004 (PSCI report 04:01)
A new implementation of a BDF method within the method of lines. J. Comput. Meth. Sci. Engg.. To appear 2003
(with R. Lamour) Consistent initialization for nonlinear index-2 dae's: Large sparse systems in MATLAB. Numer. Algorithms. 32(2003), 67-85
Preconditioning strategies for multiphysics applications: Some problems. Stockholm: Royal Inst. of Technology 2002 (PSCI report 02:03)
(with Li Pu) Simulated annealing for the optimization of batch distillation processes. Comp. and Chem. Eng.. 24(2000), 1-8
(with Klaus R. Schneider) Simulated annealing for the optimization of chemical batch processes. In: Scientific Computing in Chemical Engineering II, F. Keil et al. (eds.), part 2, Berlin: Springer 1999, pp. 314-321
Towards a new implementation of a nonlinear solver for FEMLAB. Stockholm: Royal Inst. of Technology 2000 (Report TRITA-NA-0011)
(with Pu Li) Simulated annealing for the optimization of chemical batch production processes. Stockholm: Royal Inst. of Technology 1998 (Report TRITA-NA-9822)
(with R. März, E. Izquierdo Macana) On asymptotics in case of index 2 differential-algebraic equations. SIAM J. Numer. Anal. 35(1998)4
(with B. Batgerel, T. Zhanlav) A nonstandard finite difference method for the solution of linear second order boundary value problems with nonsmooth coefficients. Berlin: Humboldt-Univ., Inst. für Math. 1996 (Preprint 96-27)
(with R. März) On asymptotics in case of dae's. ZAMM 76(1996), Suppl. 1, 99-102
(with A.R. Rodriguez) Asymptoitic properties of differential-algebraic equations. Berlin: Humboldt-Univ., Inst. für Math. 1995 (Preprint 95-6)
Regularizations of differential-algebraic equations revisited. Math. Nachrichten 174(1995), 159-183
(with E. Eich) Regularization methods for constraint mechanical multibody systems. ZAMM 75(1995)10, 761-773
Asymptotic expansions for regularization methods of linear fully implicit differential-algebraic equations. Z. Anal. u. ihre Anw. 13(1994), 513-535
(with E. Izquierdo Macana) Implicit Runge-Kutta methods for general linear index 2 differential-algebraic equations with variable coefficients. Berlin: Humboldt-Univ., Inst. für Math. 1993 (Preprint 93-11)
On the stability and convergence of one-step schemes for index 2 differential-algebraic equations. Berlin: Humboldt-Univ., Inst. für Math. 1992 (Preprint 92-11)
Regularization methods for higher index differential-algebraic equations. In: Berlin seminar on differential-algebraic equations (E. Griepentrog, M. Hanke, R. März, eds.), Berlin: Humboldt-Univ. 1992
(with R. Griepentrog, R. März) Towards a better understanding of differential-algebraic equations. In: Berlin seminar on differential-algebraic equations (E. Griepentrog, M. Hanke, R. März, eds.), Berlin: Humboldt-Univ. 1992
On the asymptotic representation of a regularization approach to nonlinear semiexplicit higher index differential-algebraic equations. IMA J. Appl. Math. 46(1991), 225-245
Index reduction and regularization for Euler-Lagrange equations for constraint mechanical systems. In: Proc. 2nd Int. Symp. on Implicit and Robust Systems, Warsaw (Poland), July 17-19, 1991, 92-96
(with H.W. Engl, A. Neubauer) Tikhonov regularization of nonlinear differential-algebraic equations. In: Inverse Problems in Action (P.C. Sabatier, ed.), Berlin: Springer-Verlag 1990, 92-105
On the regularization of index 2 differential-algebnraic equations. J. Math. Anal. Appl. 151(1990)1, 236-253
Linear differential-algebraic equations in spaces of integrable functions. J. Differ. Equations 79(1989)1, 14-30
(with R. März, A. Neubauer) On the regularization of a class of nontransferable differential-algebraic equations. J. Differ. Equations 73(1988)1, 119-132
On a least-squares collocation method for linear differential-algebraic equations. Numer. Math. 54(1988), 79-90
On the nonlinear Boltzmann equation of the carrier transport in semiconductors I. Existence and Uniqueness of solutions. Z. Anal. u. ihre Anw. 7(1988)4, 321-336
On the nonlinear Boltzmann equation of the carrier transport in semiconductors II. numerical approximation of solutions. Z. Anal. u. ihre Anw. 7(1988)5, 453-470
On the convergence of a nonlinear multigrid method and its application to a nonlinear Boltzmann equation. In: Proc. 2. Sem. über num. Beh. von Differentialgl. Jena: F.-Schiller-Univ. 1983
Über die Anwendung einer Mehrgittermethods auf eine nichtlineare Boltzmanngleichung. In: Proc. 5. Tagung Numer. Real. math. Modelle. Berlin: Akademie der Wiss. Zentrum für Rechentechnik 1983, 239-246

Michael Hanke,
Professor emeritus
hanke@kth.se
+46 8 790 62 78

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