Transformation qualities of warped multirate partial differential algebraic equations

From Nano to Space: Applied Mathematics Inspired by Roland Bulirsch

Volumn , Issue , 2008, Pages 27-42

  Pulch, Roland ^a  

^a UNIVERSITY OF WUPPERTAL   (Germany)

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[No Author keywords available]

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EID: 67649815257     PISSN: None     EISSN: None     Source Type: Book    
DOI: 10.1007/978-3-540-74238-8_4     Document Type: Chapter

References (12)

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5. Houben, S.H.M.J.: Simulating multi-tone free-running oscillators with optimal sweep following. In: Schilders, W.H.A., ter Maten, E.J.W., Houben, S.H.M.J. (eds.): Scientific Computing in Electrical Engineering, Mathematics in Industry, 4, 240-247, Springer, Berlin (2004)
6. Kampowsky, W.; Rentrop, P.; Schmitt, W.: Classification and numerical simulation of electric circuits. Surv. Math. Ind., 2, 23-65 (1992)
7. Narayan, O.; Roychowdhury, J.: Analyzing oscillators using multitime PDEs. IEEE Trans. CAS I, 50(7), 894-903 (2003)
8. Pulch, R.: Finite difference methods for multi time scale differential algebraic equations. Z. Angew. Math. Mech., 83(9), 571-583 (2003)
9. Pulch, R.: Multi time scale differential equations for simulating frequency modulated signals. Appl. Numer. Math., 53(2-4), 421-436 (2005)
10. Roychowdhury, J.: Analysing circuits with widely-separated time scales using numerical PDE methods. IEEE Trans. CAS I, 48(5), 578-594 (2001)
11. Stoer, J.; Bulirsch, R.: Introduction to Numerical Analysis. (3rd ed.) Springer, New York (2002)
12. Ushida, A.; Chua, L. O.: Frequency-domain analysis of nonlinear circuits driven by multi-tone signals. IEEE CAS, 31(9), 766-779 (1984)