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» Performance of the Taylor series method for ODEs DAEs
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AMC
2005
245views more  AMC 2005»
13 years 5 months ago
Performance of the Taylor series method for ODEs/DAEs
This paper revisits the use of the Taylor series method for the numerical integration of ODEs and DAEs. The numerical method is implemented using an efficient variablestep variabl...
Roberto Barrio
PARA
2004
Springer
13 years 10 months ago
Performance of Taylor Model Methods for Validated Integration of ODEs
The performance of various Taylor model (TM)-based methods for the validated integration of ODEs is studied for some representative computational problems. For nonlinear problems, ...
Martin Berz, Kyoko Makino
KDD
2012
ACM
212views Data Mining» more  KDD 2012»
11 years 7 months ago
Fast bregman divergence NMF using taylor expansion and coordinate descent
Non-negative matrix factorization (NMF) provides a lower rank approximation of a matrix. Due to nonnegativity imposed on the factors, it gives a latent structure that is often mor...
Liangda Li, Guy Lebanon, Haesun Park
RC
2002
96views more  RC 2002»
13 years 4 months ago
Verification of Invertibility of Complicated Functions over Large Domains
A new method to decide the invertibility of a given high-dimensional function over a domain is presented. The problem arises in the field of verified solution of differential algeb...
Jens Hoefkens, Martin Berz
EUSFLAT
2007
227views Fuzzy Logic» more  EUSFLAT 2007»
13 years 6 months ago
Time Series Prediction by Perturbed Fuzzy Model
This paper presents a fuzzy system approach to the prediction of nonlinear time series and dynamical systems based on a fuzzy model that includes its derivative information. The u...
Paulo Salgado, Getúlio Igrejas, Fernando Go...