Information: Join today and make your research activities more affordable! Technical workshop participation fees and annual registration fees are available at member rates.
Notice: [Important] Announcement of Changes to Registration Fee Payment and Manuscript Upload Procedures for IEICE Technical Meetings
IEICE Technical Committee Submission System
Conference Paper's Information		 Online Proceedings
[Sign in]
Tech. Rep. Archives
 Go Top Page Go Previous   [Japanese] / [English] 

Paper Abstract and Keywords
Presentation 2009-12-21 17:05
Equivalent models of implicit Runge-Kutta methods for nonlinear elements
Yasuhiko Tohyama, Jun Shirataki, Makiko Okumura (Kanagawa Inst. of Tech.) NLP2009-138
Abstract (in Japanese) (See Japanese page) 
(in English) This paper describes a method of implementing 3rd order-RadauIIA and 4th order-LobattoIIIA of im-
plicit Runge-Kutta formulas into circuit simulators for nonlinear circuits as numerical integration. In IRK methods,
the size of equivalent circuit becomes larger than the numerical integration in conventional circuit simulators, be-
cause the equivalent circuit at an intermediate time between past and present time are needed in addition to the
equivalent circuit at present time. Furthermore, computational costs for the implicit Runge-Kutta methods a longer
than the trapezoidal because solution at present and intermediate time are necessary in nonlinear evaluation. This problem is solved by using larger time step for numerical integration compared to conventional methods to save calculation time, since Radau-s2 and Lobatto-s3 of IRK formulas have high orders. In this paper, we compared computational costs of the circuit includes nonlinear elements. As a result, we show that the calculations of the nonlinear elements increase in large scale circuit. Therefore, we show that inplicit Runge-kutta methods are suitable for a small scale circuit demanded the accuracy.
Keyword (in Japanese) (See Japanese page) 
(in English) Implicit Runge-Kutta methods / 3rd order-RadauIIA / 4th order-LobattoIIIA / nonlinear elements / Trapezoidal / Numerical integration time step / /  
Reference Info. IEICE Tech. Rep., vol. 109, no. 354, NLP2009-138, pp. 65-70, Dec. 2009.
Paper # NLP2009-138 
Date of Issue 2009-12-14 (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 NLP2009-138

Conference Information
Committee NLP  
Conference Date 2009-12-21 - 2009-12-21 
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 2009-12-NLP 
Language Japanese 
Title (in Japanese) (See Japanese page) 
Sub Title (in Japanese) (See Japanese page) 
Title (in English) Equivalent models of implicit Runge-Kutta methods for nonlinear elements 
Sub Title (in English)  
Keyword(1) Implicit Runge-Kutta methods  
Keyword(2) 3rd order-RadauIIA  
Keyword(3) 4th order-LobattoIIIA  
Keyword(4) nonlinear elements  
Keyword(5) Trapezoidal  
Keyword(6) Numerical integration time step  
Keyword(7)  
Keyword(8)  
1st Author's Name Yasuhiko Tohyama  
1st Author's Affiliation Kanagawa Institute of Technology (Kanagawa Inst. of Tech.)
2nd Author's Name Jun Shirataki  
2nd Author's Affiliation Kanagawa Institute of Technology (Kanagawa Inst. of Tech.)
3rd Author's Name Makiko Okumura  
3rd Author's Affiliation Kanagawa Institute of Technology (Kanagawa Inst. of Tech.)
4th Author's Name  
4th Author's Affiliation ()
5th Author's Name  
5th Author's Affiliation ()
6th Author's Name  
6th Author's Affiliation ()
7th Author's Name  
7th Author's Affiliation ()
8th Author's Name  
8th Author's Affiliation ()
9th Author's Name  
9th Author's Affiliation ()
10th Author's Name  
10th Author's Affiliation ()
11th Author's Name  
11th Author's Affiliation ()
12th Author's Name  
12th Author's Affiliation ()
13th Author's Name  
13th Author's Affiliation ()
14th Author's Name  
14th Author's Affiliation ()
15th Author's Name  
15th Author's Affiliation ()
16th Author's Name  
16th Author's Affiliation ()
17th Author's Name  
17th Author's Affiliation ()
18th Author's Name  
18th Author's Affiliation ()
19th Author's Name  
19th Author's Affiliation ()
20th Author's Name  
20th Author's Affiliation ()
21st Author's Name  
21st Author's Affiliation ()
22nd Author's Name  
22nd Author's Affiliation ()
23rd Author's Name  
23rd Author's Affiliation ()
24th Author's Name  
24th Author's Affiliation ()
25th Author's Name  
25th Author's Affiliation ()
26th Author's Name / /
26th Author's Affiliation ()
()
27th Author's Name / /
27th Author's Affiliation ()
()
28th Author's Name / /
28th Author's Affiliation ()
()
29th Author's Name / /
29th Author's Affiliation ()
()
30th Author's Name / /
30th Author's Affiliation ()
()
31st Author's Name / /
31st Author's Affiliation ()
()
32nd Author's Name / /
32nd Author's Affiliation ()
()
33rd Author's Name / /
33rd Author's Affiliation ()
()
34th Author's Name / /
34th Author's Affiliation ()
()
35th Author's Name / /
35th Author's Affiliation ()
()
36th Author's Name / /
36th Author's Affiliation ()
()
Speaker Author-1 
Date Time 2009-12-21 17:05:00 
Presentation Time 25 minutes 
Registration for NLP 
Paper # NLP2009-138 
Volume (vol) vol.109 
Number (no) no.354 
Page pp.65-70 
#Pages 6 
Date of Issue 2009-12-14 (NLP) 

[Return to Top Page]

[Return to IEICE Web Page]
The Institute of Electronics, Information and Communication Engineers (IEICE), Japan