Keyword : nonlinear equation


Path Following Circuits--SPICE-Oriented Numerical Methods Where Formulas are Described by Circuits--
Kiyotaka YAMAMURA Wataru KUROKI Hideaki OKUMA Yasuaki INOUE 
Publication:   IEICE TRANSACTIONS on Fundamentals of Electronics, Communications and Computer Sciences
Publication Date: 2005/04/01
Vol. E88-A  No. 4 ; pp. 825-831
Type of Manuscript:  Special Section PAPER (Special Section on Selected Papers from the 17th Workshop on Circuits and Systems in Karuizawa)
Category: 
Keyword: 
circuit simulatorSPICEnonlinear equationhomotopy methodoptimization problem
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A Minimal Modeling of Neuronal Burst-Firing Based on Bifurcation Analysis
Vasileios TSEROLAS Yoshifumi SEKINE 
Publication:   IEICE TRANSACTIONS on Fundamentals of Electronics, Communications and Computer Sciences
Publication Date: 2003/03/01
Vol. E86-A  No. 3 ; pp. 678-685
Type of Manuscript:  PAPER
Category: Nonlinear Problems
Keyword: 
BVP modelbursting phenomenanonlinear equationbifurcation analysisneural networks
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A Modified Spherical Method for Tracing Solution Curves
Kiyotaka YAMAMURA Tooru SEKIGUCHI 
Publication:   IEICE TRANSACTIONS on Fundamentals of Electronics, Communications and Computer Sciences
Publication Date: 1995/09/25
Vol. E78-A  No. 9 ; pp. 1233-1238
Type of Manuscript:  PAPER
Category: Numerical Analysis and Optimization
Keyword: 
spherical methodhomotopy methodsolution curvenonlinear equationcircuit simulation
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Improving the Convergence of Spherical Algorithms for Tracing Solution Curves
Kiyotaka YAMAMURA 
Publication:   IEICE TRANSACTIONS on Fundamentals of Electronics, Communications and Computer Sciences
Publication Date: 1994/06/25
Vol. E77-A  No. 6 ; pp. 1085-1088
Type of Manuscript:  LETTER
Category: Numerical Analysis and Self-Validation
Keyword: 
spherical algorithmsolution curvenonlinear equationNewton's methodhomotopy method
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A Modified Newton Method with Guaranteed Accuracy Based on Rational Arithmetic
Akira INOUE Masahide KASHIWAGI Shin'ichi OISHI Mitsunori MAKINO 
Publication:   IEICE TRANSACTIONS on Fundamentals of Electronics, Communications and Computer Sciences
Publication Date: 1993/05/25
Vol. E76-A  No. 5 ; pp. 795-807
Type of Manuscript:  Special Section PAPER (Special Section on Neural Nets,Chaos and Numerics)
Category: Numerical Homotopy Method and Self-Validating Numerics
Keyword: 
guaranteed accuracynonlinear equationrational arithmeticmodified newton method
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