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  • Articles  (8)
  • phytoplankton  (5)
  • 34A45
  • 41A21
  • minimum degrees
  • rationality
  • Springer  (8)
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  • Articles  (8)
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  • Springer  (8)
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  • 1
    Electronic Resource
    Electronic Resource
    On the convergence of multipoint Padé-type approximants and quadrature formulas associated with the unit circle (1996)
    Springer
    Numerical algorithms 13 (1996), S. 321-344 
    Details
    ISSN: 1572-9265
    Keywords: multipoint Padé-type approximation ; orthogonal rational functions ; quadrature formula ; 41A21 ; 30E05 ; 41A55
    Source: Springer Online Journal Archives 1860-2000
    Topics: Computer Science , Mathematics
    Notes: Abstract We study the convergence of rational interpolants with prescribed poles on the unit circle to the Herglotz-Riesz transform of a complex measure supported on [−π, π]. As a consequence, quadrature formulas arise which integrate exactly certain rational functions. Estimates of the rate of convergence of these quadrature formulas are also included.
    Type of Medium: Electronic Resource
    URL: http://dx.doi.org/10.1007/BF02207699
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  • 2
    Electronic Resource
    Electronic Resource
    Approximated solutions in rational form for systems of differential equations (1999)
    Springer
    Numerical algorithms 21 (1999), S. 185-203 
    Details
    ISSN: 1572-9265
    Keywords: systems of differential equations ; analytic solutions ; matrix Padé approximation ; rationality ; minimum degrees ; uniqueness ; partial differential equations ; 41A21 ; 34A45 ; 35A35
    Source: Springer Online Journal Archives 1860-2000
    Topics: Computer Science , Mathematics
    Notes: Abstract In this paper we present a technique to study the existence of rational solutions for systems of differential equations — for an ordinary differential equation, in particular. The method is relatively straightforward; it is based on a rationality characterisation that involves matrix Padé approximants. It is important to note that, when the solution is rational, we use formal power series “without taking into account” their circle of convergence; at the end of this paper we justify this. We expound the theory for systems of linear first-order ordinary differential equations in the general case. However, the main ideas are applied in numerical resolution of partial differential equations.
    Type of Medium: Electronic Resource
    URL: http://dx.doi.org/10.1023/A:1019109429882
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  • 3
    Electronic Resource
    Electronic Resource
    Matrix Padé Approximation of rational functions (1997)
    Springer
    Numerical algorithms 15 (1997), S. 167-192 
    Details
    ISSN: 1572-9265
    Keywords: Matrix Padé Approximation ; rationality ; minimum degrees ; uniqueness ; 65 ; 41 ; 15
    Source: Springer Online Journal Archives 1860-2000
    Topics: Computer Science , Mathematics
    Notes: Abstract In many applications it is of major interest to decide whether a given formal power series with matrix-valued coefficients of arbitrary dimensions results from a matrix-valued rational function. As the main result of this paper we provide an answer to this question in terms of Matrix Padé Approximants of the given power series. Furthermore, given a matrix rational function, the “smallest” degrees of the matrix polynomials which represent it are not necessarily unique. Therefore we study a certain minimality-type, that is, minimum degrees. We aim to obtain all the minimum degrees for the polynomials which represent the function as equivalents. In addition, given that the rational representation of the function for the same pair of degrees need not be unique, we have obtained conditions to study the uniqueness of said representation. All the results obtained are presented graphically in tables setting out the above information. They lead to a number of properties concerning special structures, staired blocks, in the Padé Table.
    Type of Medium: Electronic Resource
    URL: http://dx.doi.org/10.1023/A:1019193820428
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  • 4
    Electronic Resource
    Electronic Resource
    Seasonal fluctuations in the plankton community in a hypersaline temporary lake (Honda, southern Spain) (1997)
    Springer
    International journal of salt lake research 6 (1997), S. 353-371 
    Details
    ISSN: 1573-8590
    Keywords: hypersaline lakes ; multivariate methods ; phytoplankton ; seasonality ; shallow lakes ; zooplankton
    Source: Springer Online Journal Archives 1860-2000
    Topics: Biology , Geography
    Notes: Abstract Honda saline lake is located in an endorheic basin in the south of Spain. The lake is very shallow, with frequent seasonal drought and a high degree of unpredictability. It was sampled monthly during a relatively dry year (1994–1995, 5 months permanence). To establish a relationship between environmental variables (temperature, depth, salinity and conductivity), variables related to biological activity (organic matter, total solids suspension, and pH) and the planktonic community in the sampled months, various uni- and multivariate statistical methods were carried out. Dunaliella salina, D. viridis, and ciliates sp. 2 is the principal species group used to average out the dissimilarity between the samples. Multivariate analysis showed that salinity (as TDS), conductivity and pH made major and significant contributions to the explanation of the variance in the sample data.
    Type of Medium: Electronic Resource
    URL: http://dx.doi.org/10.1023/A:1009057913154
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  • 5
    Electronic Resource
    Electronic Resource
    Seasonal fluctuations in the plankton community in a hypersaline temporary lake (Honda, southern Spain) (1997)
    Springer
    International journal of salt lake research 6 (1997), S. 353-371 
    Details
    ISSN: 1573-8590
    Keywords: hypersaline lakes ; multivariate methods ; phytoplankton ; seasonality ; shallow lakes ; zooplankton
    Source: Springer Online Journal Archives 1860-2000
    Topics: Biology , Geography
    Notes: Abstract Honda saline lake is located in an endorheic basin in the south of Spain. The lake is very shallow, with frequent seasonal drought and a high degree of unpredictability. It was sampled monthly during a relatively dry year (1994–1995, 5 months permanence). To establish a relationship between environmental variables (temperature, depth, salinity and conductivity), variables related to biological activity (organic matter, total solids suspension, and pH) and the planktonic community in the sampled months, various uni-and miltivariate statistical methods were carried out.Dunaliella salina, D. viridis, and ciliates sp. 2 is the principal species group used to average out the dissimilarity between the samples. Muttivariate analysis showed that salinity (as TDS), conductivity and pH made major and significant contributions to the explanation of the variance in the sample data.
    Type of Medium: Electronic Resource
    URL: http://dx.doi.org/10.1007/BF02447916
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  • 6
    Electronic Resource
    Electronic Resource
    Nutrient enrichment of Cabo Frio (Brasil) sea water for phytoplankton mass production (1984)
    Springer
    Hydrobiologia 111 (1984), S. 49-56 
    Details
    ISSN: 1573-5117
    Keywords: nutrient enrichment ; yield coefficient ; nitrogen ; phosphorus ; mass culturing ; phytoplankton ; sea water
    Source: Springer Online Journal Archives 1860-2000
    Topics: Biology
    Notes: Abstract Natural phytoplankton of Cabo Frio area was grown in 42 m-deep artificially upwelled seawater enriched with increasing concentrations of nitrogen or phosphorus. Respective values allowing maximum biomass, maximum uptake of initial reserve and maximum yield coefficient are rather conflicting. Notwithstanding, respective values of 75 µg at 1−1 nitrogen and 5 µg at 1−1 phosphorus, and therefore N:P = 15, appeared to be the best compromise for initial nutrient levels.
    Type of Medium: Electronic Resource
    URL: http://dx.doi.org/10.1007/BF00007380
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  • 7
    Electronic Resource
    Electronic Resource
    Yearly variation in primary productivity of marine phytoplankton from Cabo Frio (RJ, Brazil) region (1994)
    Springer
    Hydrobiologia 294 (1994), S. 145-156 
    Details
    ISSN: 1573-5117
    Keywords: light-photosynthesis ; phytoplankton ; upwelling Brazil
    Source: Springer Online Journal Archives 1860-2000
    Topics: Biology
    Notes: Abstract Light saturation curves of natural assemblages of phytoplankton at 4 stations in Cabo Frio coastal waters were examined and related to changes in environmental conditions, based on 263 experiments carried out weekly during two years. No differences in specific productivity at saturating light (Pm B ) between stations were detected. Global mean value of Pm B was 4.7 mgC mgChla −1 h−1 with a range from 0.50 to 15.29. Significant seasonal variations were not observed. Correlation and regression analysis attributed most of Pm B variation to temperature, salinity, nutrients and the phaeopigment: chlorophyll-a ratio.
    Type of Medium: Electronic Resource
    URL: http://dx.doi.org/10.1007/BF00016855
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  • 8
    Electronic Resource
    Electronic Resource
    Structural changes and dynamics of the phytoplankton along a highly polluted lowland river of Argentina (1995)
    Springer
    Journal of aquatic ecosystem stress and recovery 4 (1995), S. 59-75 
    Details
    ISSN: 1573-5141
    Keywords: phytoplankton ; pollution ; community structure ; South America ; Argentina ; Matanza-Riachuelo river
    Source: Springer Online Journal Archives 1860-2000
    Topics: Biology
    Notes: Abstract The phytoplankton of the Matanza-Riachuelo river (Buenos Aires, Argentina) was studied for a period of 15 months together with different physical and chemical variables, along an increasingly eutrophic in character downstream. 281 taxa were recorded within a seasonal succession, among these 49 percent were euglenophyta, 25 percent bacillariophyta, 15 percent chlorophyta and 10 percent cyanophyta. Multivariate procedures included cluster analyses and ordination by PCA of both species and samples, and stepwise multiple regression analyses were employed to assess the impact of the pollution on the phytoplankton. The effect of the alteration was different in each studied site. With one exception, the changes in the community structure described herein involved modifications of the basic species composition. According to the species present, it was deduced that the main pollutant was the high concentration of organic matter. Results of the Matanza-Riachuelo, Reconquista, and Luján Rivers studies are further discussed.
    Type of Medium: Electronic Resource
    URL: http://dx.doi.org/10.1007/BF00043344
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