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| Presentation | 2009-01-22 15:30 An Implementation in to the Circuit Simulation of Implicit Runge-Kutta Methods Yutaka Takakura, Yasuhiko Tohyama, Jun Shirataki, Makiko Okumura (KAIT)  CAS2008-77 NLP2008-107 |
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| Abstract | (in Japanese) | (See Japanese page) |
| (in English) | This paper describes an implementation method of implicit Runge-Kutta algorithm to the circuit simulation.We propose the equivalent circuit and formulation for the modified nodal analysis (MNA).There are multistep backward-differentiation-formulas and Gear's methodsas the conventional high-order numerical integration methods for the circuit simulation.However,these methods more than the third order have the problem of stability.RadauIIA and LobattoIIIA methods of implicit Runge-Kutta formulas have simular stability to Trapezoidal formula, even if the orders are higher than it.We show that the accuracy of RadauIIA and LobattoIIIA issuperior to Trapeziodal using an example RC circuit.On the other hand, in the Runge-Kutta methods, it is necessary to evaluate circuit equations of intermediate time points and a future time point at the same time, because there are dependent each other.Therefore, the scale of the equivalent circuit becomes large.We can determine the large time step for numerical integration to reduce the computational cost. | |
| Keyword | (in Japanese) | (See Japanese page) |
| (in English) | Implicit Runge-Kutta Methods / Trapezoidal Method / High-order Numerical Integration / Radau / Lobatto / Circuit Simulation / / | |
| Reference Info. | IEICE Tech. Rep., vol. 108, no. 389, NLP2008-107, pp. 75-80, Jan. 2009. | |
| Paper # | NLP2008-107 | |
| Date of Issue | 2009-01-15 (CAS, NLP) | |
| ISSN | Print edition: ISSN 0913-5685 Online edition: ISSN 2432-6380 | |
| Copyright and reproduction |
All rights are reserved and no part of this publication may be reproduced or transmitted in any form or by any means, electronic or mechanical, including photocopy, recording, or any information storage and retrieval system, without permission in writing from the publisher. Notwithstanding, instructors are permitted to photocopy isolated articles for noncommercial classroom use without fee. (License No.: 10GA0019/12GB0052/13GB0056/17GB0034/18GB0034) | |
| Download PDF | CAS2008-77 NLP2008-107 |
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| Conference Information | |
| Committee | CAS NLP |
| Conference Date | 2009-01-22 - 2009-01-23 |
| Place (in Japanese) | (See Japanese page) |
| Place (in English) | |
| Topics (in Japanese) | (See Japanese page) |
| Topics (in English) | |
| Paper Information | |
| Registration To | NLP |
| Conference Code | 2009-01-CAS-NLP |
| Language | Japanese |
| Title (in Japanese) | (See Japanese page) |
| Sub Title (in Japanese) | (See Japanese page) |
| Title (in English) | An Implementation in to the Circuit Simulation of Implicit Runge-Kutta Methods |
| Sub Title (in English) | |
| Keyword(1) | Implicit Runge-Kutta Methods |
| Keyword(2) | Trapezoidal Method |
| Keyword(3) | High-order Numerical Integration |
| Keyword(4) | Radau |
| Keyword(5) | Lobatto |
| Keyword(6) | Circuit Simulation |
| Keyword(7) | |
| Keyword(8) | |
| 1st Author's Name | Yutaka Takakura |
| 1st Author's Affiliation | Kanagawa Institute of Technology (KAIT) |
| 2nd Author's Name | Yasuhiko Tohyama |
| 2nd Author's Affiliation | Kanagawa Institute of Technology (KAIT) |
| 3rd Author's Name | Jun Shirataki |
| 3rd Author's Affiliation | Kanagawa Institute of Technology (KAIT) |
| 4th Author's Name | Makiko Okumura |
| 4th Author's Affiliation | Kanagawa Institute of Technology (KAIT) |
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| Speaker | Author-1 |
| Date Time | 2009-01-22 15:30:00 |
| Presentation Time | 20 minutes |
| Registration for | NLP |
| Paper # | CAS2008-77, NLP2008-107 |
| Volume (vol) | vol.108 |
| Number (no) | no.388(CAS), no.389(NLP) |
| Page | pp.75-80 |
| #Pages | 6 |
| Date of Issue | 2009-01-15 (CAS, NLP) |
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