Publikationen
- 2006
- A. Zisowsky and M. Ehrhardt, "Discrete transparent boundary conditions for parabolic systems", Mathematical and computer modelling, vol. 43, no. 3-4, pp. 294--309, 2006. Pergamon.
- M. Ehrhardt and R. E. Mickens, "Discrete artificial boundary conditions for the Black-Scholes equation of American options", 2006.
- A. Verhoeven, T. G. J. Beelen, M. L. J. Hautus and E. J. W. Maten, "Digital Linear Control Theory for Automatic Stepsize Control" in Scientific Computing in Electrical Engineering, A. M. Anile and G. Ali and G. Mascali, Eds. Springer Berlin Heidelberg, 2006, pp. 137--142.
- E. Buckwar, R. Horvath Bokor and R. Winkler, "Asymptotic mean-square stability of two-step methods for stochastic ordinary differential equations", BIT Numerical Mathematics, vol. 46, no. 2, pp. 261--282, 2006.
- E. Buckwar and R. Winkler, "Multi-step methods for {SDEs} and their application to problems with small noise", SIAM J. Num. Anal., vol. 44, no. 2, pp. 779--803, 2006.
- E. Buckwar and R. Winkler, "Asymptotic Mean-square Stability of Linear Multi-step Methods for SODEs", PAMM, vol. 6, no. 1, pp. 659--660, 2006.
- M. Ehrhardt and A. Zisowsky, "Nonlocal boundary conditions for higher--order parabolic equations" in PAMM: Proceedings in Applied Mathematics and Mechanics, 2006, pp. 733--734.
- Q. A. Dang and M. Ehrhardt, "Adequate numerical solution of air pollution problems by positive difference schemes on unbounded domains", Mathematical and Computer Modelling, vol. 44, no. 9-10, pp. 834--856, 2006. Pergamon.
- A. Verhoeven, A. E. Guennouni, E. J. W. Maten and R. M. M. Mattheij, "A General Compound Multirate Method for Circuit Simulation Problems" in Scientific Computing in Electrical Engineering, A. M. Anile and G. Ali and G. Mascali, Eds. Springer Berlin Heidelberg, 2006, pp. 143--150.
- M. Ehrhardt and A. Zisowsky, "Nonlocal Boundary Conditions for Higher-Order Parabolic Equations" in Proceedings in Applied Mathematics and Mechanics (PAMM), 2006, pp. 733--734.
- W. Römisch and R. Winkler, "Stepsize control for mean-square numerical methods for stochastic differential equations with small noise", SIAM J. Sci. Comput., vol. 28, no. 2, pp. 604--625, 2006.
- J. G. Fijnvandraat, S. H. M. J. Houben, E. J. W. Maten and J. M. F. Peters, "Time domain analog circuit simulation", Journal of Computational and Applied Mathematics, vol. 185, no. 2, pp. 441--459, Jan. 2006. Elsevier {BV}.
- A. Bartel and S. Knorr, "Wavelet-based Adaptive Grids for the Simulation of Multirate Partial Differential-Algebraic Equations" in PAMM: Proceedings in Applied Mathematics and Mechanics, 2006, pp. 39--42.
- A. Bartel and U. Feldmann, "Modeling and simulation for thermal-electric coupling in an {SOI}-circuit" in Scientific Computing in Electrical Engineering, A. M. Anile and G. Alì and G. Mascali, Eds. Springer, 2006, pp. 27--32.
- 2005
- M. Striebel and M. Günther, "A charge oriented mixed multirate method for a special class of index-1 network equations in chip design", Applied numerical mathematics, vol. 53, no. 2-4, pp. 489--507, 2005. North-Holland.
- A. Arnold, M. Ehrhardt and I. Sofronov, "Approximation and Fast Calculation of Non-local Boundary Conditions for the Time-dependent Schrodinger Equation", Lecture Notes in Computational Science and Engineering, vol. 40, pp. 141--148, 2005. New York; Springer; 1999.
- A. E. Guennouni, A. Verhoeven, E. J. W. Maten and T. G. J. Beelen, "Aspects of Multirate Time Integration Methods in Circuit Simulation Problems" in Progress in Industrial Mathematics at {ECMI} 2004, Eindhoven, A. Di Bucchianico and R. M. M. Mattheij and M. A. Peletier, Eds. Springer Berlin Heidelberg, 2005, pp. 579--584.
- A. Zisowsky, A. Arnold, M. Ehrhardt and T. Koprucki, "Discrete transparent boundary conditions for transient kp-Schrödinger equations with application to quantum heterostructures", ZAMM-Journal of Applied Mathematics and Mechanics/Zeitschrift für Angewandte Mathematik und Mechanik: Applied Mathematics and Mechanics, vol. 85, no. 11, pp. 793--805, 2005. WILEY-VCH Verlag Berlin.
- M. Ehrhardt, "Finite difference schemes on unbounded domains" in Advances in the Applications of Nonstandard Finite Difference Schemes, R. E. Mickens, Eds. World Scientific, 2005, pp. 343--384.
- Handbook of Numerical Analysis Vol. XIII. Special Volume: Numerical Methods in Electromagnetics. .... Elsevier Science, 2005.
ISBN: 0444513752
- M. F. Sevat, S. H. M. J. Houben and E. J. W. Maten, "DRK Methods for Time-Domain Oscillator Simulation" in Progress in Industrial Mathematics at {ECMI} 2004, Eindhoven, Springer Berlin Heidelberg, 2005, pp. 194-198.
- M. Guenther and others, "PDAE approach for electro-thermal coupling in SOI circuits", 2005. MOX-Modeling and Scientific Computing, via Bonardi 9, Politecnico di Milano~….
- G. Al{\`\i}, A. Bartel and M. Günther, "Parabolic differential-algebraic models in electrical network design", SIAM Multiscale Modeling & Simulation, vol. 4, no. 3, pp. 813--838, 2005. SIAM.
- G. Ali, A. Bartel and M. G\"unther, "Parabolic differential-algebraic models in electric network design", SIAM J. MMS, vol. 4/3, pp. 813--838, 2005.
- A. Verhoeven, A. E. Guennouni, E. J. W. Maten and R. M. M. Mattheij, "Multirate methods for the transient analysis of electrical circuits", {PAMM}, vol. 5, no. 1, pp. 821--822, Dez. 2005. Wiley.