Publications

M. Ehrhardt, "Evaluation of scattering operators for semi-infinite periodic arrays", Communications in Mathematical Sciences, vol. 7, no. 2, pp. 347–364, 2009. International Press of Boston.

DOI: 10.4310/CMS.2009.v7.n2.a4

M. Ehrhardt, "Comparison of the continuous, semi-discrete and fully-discrete Transparent Boundary Conditions (TBC) for the parabolic wave equation 1. Theory", Journal of Electrical Engineering, vol. 60, no. 6, pp. 301–312, 2009. FEI STU Bratislava.

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S. Schöps, H. De Gersem and A. Bartel, "Co-simulation as multirate time integration of field/circuit coupled problems" in Proceedings of the 17th Conference on the Computation of Electromagnetic Fields - Compumag 2009, The International Compumag Society, 2009, pp. 227–228.

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M. Striebel, A. Bartel and M. Günther, "A multirate ROW-scheme for index-1 network equations", Applied Numerical Mathematics, vol. 59, no. 3, pp. 800–814, 2009. Elsevier.

DOI: 10.1016/j.apnum.2008.03.014

M. Ehrhardt, "A model of an electrochemical flow cell with porous layer", Preprint WIAS, no. 1437, 2009. Weierstraß-Institut für Angewandte Analysis und Stochastik.

DOI: 10.20347/WIAS.PREPRINT.1437

S. Knorr, R. Pulch and M. Günther, "Wavelet-collocation of multirate PDAEs for the simulation of radio frequency circuits" in Mathematics - Key Technology for the Future - Joint Projects between Universities and Industry 2004-2007, Jäger, Willi and Krebs, Hans-Joachim, Eds. Springer Berlin Heidelberg, 2008, pp. 19–28.

DOI: 10.1007/978-3-540-77203-3_3

R. Pulch, "Transformation qualities of warped multirate partial differential algebraic equations" in From Nano to Space: Applied Mathematics Inspired by Roland Bulirsch, Breitner, Michael H. and Denk, Georg and Rentrop, Peter, Eds. Berlin, Heidelberg: Springer Berlin Heidelberg, 2008, pp. 27–42.

DOI: 10.1007/978-3-540-74238-8_4

C. Kahl, M. Günther and T. Rossberg, "Structure preserving stochastic integration schemes in interest rate derivative modeling", Applied Numerical Mathematics, vol. 58, no. 3, pp. 284–295, 2008.

DOI: 10.1016/j.apnum.2006.11.013

T. Sickenberger and R. Winkler, "Stochastic oscillations in circuit simulation", PAMM: Proceedings in Applied Mathematics and Mechanics, vol. 7, no. 1, pp. 4050023––4050024, 2008. WILEY-VCH Verlag.

DOI: 10.1002/pamm.200700807

R. Pulch, "Polynomial chaos for analysing periodic processes of differential algebraic equations with random parameters", PAMM: Proceedings in Applied Mathematics and Mechanics, vol. 8, no. 1, pp. 10069–10072, 2008. WILEY-VCH Verlag.

DOI: 10.1002/pamm.200810069

R. Pulch, "Initial-boundary value problems of warped MPDAEs including minimisation criteria", Mathematics and Computers in Simulation, vol. 79, no. 2, pp. 117–132, 2008. Elsevier.

DOI: 10.1016/j.matcom.2007.10.006

A. Bartel and R. Pulch, "A concept for classification of partial differential algebraic equations in nanoelectronics" in Progress in Industrial Mathematics at ECMI 2006, Bonilla, Luis L. and Moscoso, Miguel and Platero, Gloria and Vega, Jose M., Eds. Springer Berlin Heidelberg, 2008, pp. 506–511.

DOI: 10.1007/978-3-540-71992-2_79

G. Denk, W. Römisch, T. Sickenberger and R. Winkler, "Efficient transient noise analysis in circuit simulation" in Mathematics - Key Technology for the Future: Joint Projects Between Universities and Industry 2004-2007, Krebs, Hans-Joachim and Jäger, Willi, Eds. Springer Berlin Heidelberg, 2008, pp. 39–49.

DOI: 10.1007/978-3-540-77203-3_5

C. Kahl and M. Günther, "Complete the correlation matrix" in From Nano to Space: Applied Mathematics Inspired by Roland Bulirsch, Breitner, Michael H. and Denk, Georg and Rentrop, Peter, Eds. Springer Berlin Heidelberg, 2008, pp. 229–244.

DOI: 10.1007/978-3-540-74238-8_17

M. Striebel and M. Günther, "Hierarchical mixed multirating in circuit simulation" in Scientific Computing in Electrical Engineering, Ciuprina, Gabriela and Ioan, Daniel, Eds. Springer Berlin Heidelberg, 2007, pp. 221–228.

DOI: 10.1007/978-3-540-71980-9_23

R. Pulch, "Multidimensional models for analysing frequency modulated signals", Mathematical and Computer Modelling of Dynamical Systems, vol. 13, no. 4, pp. 315–330, 2007. Taylor & Francis.

DOI: 10.1080/13873950600994506

R. Pulch, "Multirate models for simulating a colpitts oscillator", PAMM: Proceedings in Applied Mathematics and Mechanics, vol. 7, no. 1, pp. 4050021–4050022, 2007. WILEY-VCH Verlag.

DOI: 10.1002/pamm.200700785

R. Pulch, M. Günther and S. Knorr, "Multirate partial differential algebraic equations for simulating radio frequency signals", European Journal of Applied Mathematics, vol. 18, no. 6, pp. 709–743, 2007. Cambridge University Press.

DOI: 10.1017/S0956792507007188

J. Greb and R. Pulch, "Simulation of quasiperiodic signals via warped MPDAEs using Houben’s approach" in Scientific Computing in Electrical Engineering, Ciuprina, Gabriela and Ioan, Daniel, Eds. Springer Berlin Heidelberg, 2007, pp. 237–243.

DOI: 10.1007/978-3-540-71980-9_25

T. Voϐ, R. Pulch, E. J. W. Maten and A. El Guennouni, "Trajectory piecewise linear approach for nonlinear differential-algebraic equations in circuit simulation" in Scientific Computing in Electrical Engineering, Ciuprina, Gabriela and Ioan, Daniel, Eds. Springer Berlin Heidelberg, 2007, pp. 167–173.

DOI: 10.1007/978-3-540-71980-9_16