Publications: Roland Pulch

Books:

• Pulch, R.:
  PDAE Methoden zur numerischen Simulation quasiperiodischer Grenzzyklen von Oszillatorschaltungen.
  Fortschritt-Berichte VDI, Reihe 20 Nr. 380, VDI-Verlag, Düsseldorf, 2004 (ISBN 3-18-3 38020-X).

Papers in Journals:

• Pulch, R.:
  Polynomial chaos for semi-explicit differential algebraic equations of index 1.
  to appear in: Int. J. Uncertainty Quantification

• Pulch, R.; Xiu, D.:
  Generalised polynomial chaos for a class of linear conservation laws.
  to appear in: Journal of Scientific Computing (Springer)

• Pulch, R.:
  Polynomial chaos for boundary value problems of dynamical systems.
  to appear in: Appl. Numer. Math.

• Pulch, R.:
  Polynomial chaos for linear differential algebraic equations with random parameters.
  Int. J. Uncertainty Quantification 1:3 (2011), pp. 223-240.

• Pulch, R.:
  Modelling and simulation of autonomous oscillators with random parameters.
  Math. Comput. Simulat. 81 (2011), pp. 1128-1143.

• Pulch, R.; van Emmerich, C.:
  Polynomial chaos for simulating random volatilities.
  Math. Comput. Simulat. 80:2 (2009), pp. 245-255.

• Pulch, R.:
  Polynomial chaos for multirate partial differential algebraic equations with random parameters.
  Appl. Numer. Math. 59:10 (2009), pp. 2610-2624.

• Bartel, A.; Knorr, S.; Pulch, R.:
  Wavelet-based adaptive grids for multirate partial differential-algebraic equations.
  Appl. Numer. Math. 59:3-4 (2009), pp. 495-506.

• Pulch, R.:
  Variational methods for solving warped multirate partial differential algebraic equations.
  SIAM J. Sci. Comput. 31:2 (2008), pp. 1016-1034.

• Pulch, R.:
  Initial-boundary value problems of warped MPDAEs including minimisation criteria.
  Math. Comput. Simulat. 79 (2008), pp. 117-132.

• Pulch, R.; Günther, M.; Knorr, S.:
  Multirate partial differential algebraic equations for simulating radio frequency signals.
  Euro. Jnl. of Applied Mathematics 18 (2007), pp. 709-743.

• Pulch, R.:
  Multidimensional models for analysing frequency modulated signals.
  Math. Comp. Modell. Dyn. Syst. 13:4 (2007), pp. 315-330.

• Pulch, R.:
  Multi time scale differential equations for simulating frequency modulated signals.
  Appl. Numer. Math. 53:2-4 (2005), pp. 421-436.

• Pulch, R.:
  Finite difference methods for multi time scale differential algebraic equations.
  Z. Angew. Math. Mech. 83:9 (2003), pp. 571-583.

• Pulch, R.; Günther, M.:
  A method of characteristics for solving multirate partial differential equations in radio frequency application.
  Appl. Numer. Math. 42:1 (2002), pp. 397-409.

Papers in Conference Proceedings:

• Pulch, R.:
  Modelling and simulation of forced oscillators with random periods.
  In: Michielsen, B.; Poirier, J.-R. (eds.): Scientific Computing in Electrical Engineering SCEE 2010. Mathematics in Industry Vol. 16, Springer, Berlin 2012, pp. 275-284.

• Pulch, R.:
  Polynomial chaos for the computation of failure probabilities in periodic problems.
  In: Roos, J.; Costa, L. (eds.): Scientific Computing in Electrical Engineering SCEE 2008. Mathematics in Industry Vol. 14, Springer, Berlin 2010, pp. 191-198.

• Ali, G.; Mascali, G.; Pulch, R.:
  Hyperbolic PDAEs for semiconductor devices coupled with circuits.
  In: Roos, J.; Costa, L. (eds.): Scientific Computing in Electrical Engineering SCEE 2008. Mathematics in Industry Vol. 14, Springer, Berlin 2010, pp. 305-312.

• Mohaghegh, K.; Striebel, M.; ter Maten, E.J.W.; Pulch, R.:
  Nonlinear model order reduction based on trajectory piecewise linear approach: comparing different linear cores.
  In: Roos, J.; Costa, L. (eds.): Scientific Computing in Electrical Engineering SCEE 2008. Mathematics in Industry Vol. 14, Springer, Berlin 2010, pp. 563-570.

• Pulch, R.:
  Polynomial chaos expansions for analysing oscillators with uncertainties.
  In: Troch, I.; Breitenecker, F. (eds.): Proceedings MATHMOD 09 Vienna (2009).

• Mohaghegh, K.; Pulch, R.; Striebel, M.; ter Maten, E.J.W.:
  Model order reduction for semi-explicit systems of differential algebraic equations.
  In: Troch, I.; Breitenecker, F. (eds.): Proceedings MATHMOD 09 Vienna (2009).

• Pulch, R.:
  Polynomial chaos for analysing periodic processes of differential algebraic equations with random parameters.
  Proc. Appl. Math. Mech. 8 (2008), pp. 10069-10072.

• Pulch, R.:
  Multirate models for simulating a Colpitts oscillator.
  Proc. Appl. Math. Mech. 7 (2007), pp. 4050021-4050022.

• Greb, J.; Pulch, R.:
  Simulation of quasiperiodic signals via warped MPDAEs using Houben's approach.
  In: Ciuprina, G.; Ioan, D. (eds.): Scientific Computing in Electrical Engineering SCEE 2006. Mathematics in Industry Vol. 11, Springer, Berlin 2007, pp. 237-243.

• Voß, T.; Pulch, R.; ter Maten, E.J.W.; El Guennouni, A.:
  Trajectory piecewise linear approach for nonlinear differential-algebraic equations in circuit simulation.
  In: Ciuprina, G.; Ioan, D. (eds.): Scientific Computing in Electrical Engineering SCEE 2006. Mathematics in Industry Vol. 11, Springer, Berlin 2007, pp. 167-174.

• Bartel, A.; Pulch, R.:
  A concept for classification of partial differential algebraic equations in nanoelectronics.
  In: Bonilla, L.L.; Moscoso, M.; Platero, G.; Vega, J.M. (eds.): Progress in Industrial Mathematics at ECMI 2006. Mathematics in Industry Vol. 12, Springer, Berlin 2007, pp. 506-511.

• Pulch, R.:
  Semidiscretisation methods for warped MPDAEs.
  In: Anile, A.M.; Alì, G.; Mascali, G. (eds.): Scientific Computing in Electrical Engineering SCEE 2004. Mathematics in Industry Vol. 9, Springer, Berlin 2006, pp. 101-106.

• Pulch, R.:
  Warped MPDAE models with continuous phase conditions.
  In: Di Bucchianico, A.; Mattheij, R.M.M.; Peletier, M.A. (eds.): Progress in Industrial Mathematics at ECMI 2004. Mathematics in Industry Vol. 8, Springer, Berlin 2006, pp. 179-183.

• Pulch, R.:
  Warped MPDAE models including minimisation criteria for the simulation of RF signals.
  Proc. Appl. Math. Mech. 5 (2005), pp. 811-814.

• Pulch, R.:
  Numerical techniques for solving multirate partial differential algebraic equations.
  In: Schilders, W.H.A.; ter Maten, E.J.W.; Houben, S.H.M.J. (eds.): Scientific Computing in Electrical Engineering SCEE 2002. Mathematics in Industry Vol. 4, Springer 2004, pp. 337-344.

• Pulch, R.:
  A parallel finite difference algorithm for multirate partial differential algebraic equations.
  In: Antreich, K.; Bulirsch, R.; Gilg, A.; Rentrop, P. (eds.): Modeling, Simulation and Optimization of Integrated Circuits. International Series of Numerical Mathematics Vol. 146, Birkhäuser, Basel 2003, pp. 153-166.

• Bartel, A.; Günther, M.; Pulch, R.; Rentrop, P.:
  Numerical techniques for different time scales in electric circuit simulation.
  In: Breuer, M.; Durst, F.; Zenger, Ch. (eds.): High-Performance Scientific and Engineering Computing.
  Lecture Notes in Computational Science and Engineering, Springer 2002, pp. 343-360.

Other Publications:

• Pulch, R.:
  Transformation qualities of warped multirate partial differential algebraic equations.
  In: Breitner, M.; Denk, G.; Rentrop, P. (eds.): From Nano to Space - Applied Mathematics Inspired by Roland Bulirsch. Springer, Berlin 2008, pp. 27-42.

• Knorr, S.; Pulch, R.; Günther, M.:
  Wavelet-collocation of multirate PDAEs for the simulation of radio frequency circuits.
  In: Jäger, W.; Krebs, H.-J. (eds.): Mathematics - Key Technology for the Future - Joint Projects between Universities and Industry 2004-2007. Springer, Berlin 2008, pp. 19-28.

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