29 pages, no figures.-- MSC2000 codes: 41A55, 41A21.MR#: MR1408352 (97e:41066)Zbl#: Zbl 0856.41027^aLet $I(F)= \int^1_{- 1} F(x)\omega(x) dx$, where $\omega$ is a complex valued integrable function. We consider quadrature formulas for $I(F)$ which are exact with respect to rational functions with prescribed poles contained in $\overline{\bbfC}\backslash [- 1, 1]$. Their rate of convergence is studied.The research by the first three authors (P.G.-V., M.J.P., R.O.) was partially supported by the HCM project ROLLS, under Contract CHRX-CT93-0416. Research by the fourth author (G.L.L.) was carried out while on a visit at Universidad de La Laguna. This visit was made possible by a travel grant from CDE-IMU.Publicad

Findlay, HS

Lewis, C

Mangan, S

Urbina, MA

Wilson, RW

P. González-Vera

M.Jiménez Paiz

R. Orive

G.López Lagomasino

MUCC (Crossref)

On the Convergence of Quadrature Formulas Connected with Multipoint Padé-Type Approximation

AbstractLetI(F)=∫1−1F(x)ω(x)dx, where ω is a complex valued integrable function. We consider quadrature formulas forI(F) which are exact with respect to rational functions with prescribed poles contained in[formula]. Their rate of convergence is studied

González-Vera, P.

Paiz, M.Jiménez

Orive, R.

Lagomasino, G.López

Elsevier - Publisher Connector 

On the Convergence of Quadrature Formulas Connected with Multipoint Padé-Type Approximation 

González-Vera, Pablo

Jiménez Paiz, Mateo

Orive, Rafael

López Lagomasino, Guillermo

Name not available

Journal of Mathematical Analysis and Applications

On the convergence of quadrature formulas connected with multipoint Padé-type approximants

Ocean acidification (OA) studies typically use stable open-ocean pH or CO2values. However, species living within dynamic coastal environments can naturally experience wide fluctuations in abiotic factors, suggesting their responses to stable pH conditions may not be reflective of either present or near-future conditions. Here we investigate the physiological responses of the musselMytilus edulisto variable seawater pH conditions over short- (6 h) and medium-term (2 weeks) exposures under both current and near-future OA scenarios. Mussel haemolymph pH closely mirrored that of seawater pH over short-term changes of 1 pH unit with acidosis or recovery accordingly, highlighting a limited capacity for acid–base regulation. After 2 weeks, mussels under variable pH conditions had significantly higher metabolic rates, antioxidant enzyme activities and lipid peroxidation than those exposed to static pH under both current and near-future OA scenarios. Static near-future pH conditions induced significant acid–base disturbances and lipid peroxidation compared with the static present-day conditions but did not affect the metabolic rate. These results clearly demonstrate that living in naturally variable environments is energetically more expensive than living in static seawater conditions, which has consequences for how we extrapolate future OA responses in coastal species.</jats:p

Stephanie Mangan

Mauricio A. Urbina

Helen S. Findlay

Rod W. Wilson

Ceri Lewis

Crossref

Proceedings of the Royal Society B Biological Sciences

Fluctuating seawater pH/pCO2regimes are more energetically expensive than static pH/pCO2levels in the musselMytilus edulis

Ocean acidification (OA) studies typically use stable open-ocean pH or CO2 values. However, species living within dynamic coastal environments can naturally experience wide fluctuations in abiotic factors, suggesting their responses to stable pH conditions may not be reflective of either present or near-future conditions. Here we investigate the physiological responses of the mussel Mytilus edulis to variable seawater pH conditions over short- (6 h) and medium-term (2 weeks) exposures under both current and near-future OA scenarios. Mussel haemolymph pH closely mirrored that of seawater pH over short-term changes of 1 pH unit with acidosis or recovery accordingly, highlighting a limited capacity for acid–base regulation. After 2 weeks, mussels under variable pH conditions had significantly higher metabolic rates, antioxidant enzyme activities and lipid peroxidation than those exposed to static pH under both current and near-future OA scenarios. Static near-future pH conditions induced significant acid–base disturbances and lipid peroxidation compared with the static present-day conditions but did not affect the metabolic rate. These results clearly demonstrate that living in naturally variable environments is energetically more expensive than living in static seawater conditions, which has consequences for how we extrapolate future OA responses in coastal species.Mangan_et_al_ProcRoyalB_2017_RawDataThis file contains all raw data used to produce the figures and tables within the article. Supplementary data is within a separate file.Mangan_et_al_Supplementary_ProcRoyalB_2017_RawDataThis file contains all the data used to produce the supplementary material for this article

Mangan, Stephanie

Urbina, Mauricio A.

Findlay, Helen S.

Wilson, Rod W.

Lewis, Ceri

ZENODO

Data from: Fluctuating seawater pH/ p CO 2 regimes are more energetically expensive than static pH/ p CO 2 levels in the mussel Mytilus edulis

Ocean acidification (OA) studies typically use stable open-ocean pH or CO2 values. However, species living within dynamic coastal environments can naturally experience wide fluctuations in abiotic factors, suggesting their responses to stable pH conditions may not be reflective of either present or near-future conditions. Here we investigate the physiological responses of the mussel Mytilus edulis to variable seawater pH conditions over short- (6 h) and medium-term (2 weeks) exposures under both current and near-future OA scenarios. Mussel haemolymph pH closely mirrored that of seawater pH over short-term changes of 1 pH unit with acidosis or recovery accordingly, highlighting a limited capacity for acid–base regulation. After 2 weeks, mussels under variable pH conditions had significantly higher metabolic rates, antioxidant enzyme activities and lipid peroxidation than those exposed to static pH under both current and near-future OA scenarios. Static near-future pH conditions induced significant acid–base disturbances and lipid peroxidation compared with the static present-day conditions but did not affect the metabolic rate. These results clearly demonstrate that living in naturally variable environments is energetically more expensive than living in static seawater conditions, which has consequences for how we extrapolate future OA responses in coastal species

Wilson, R

Lewis, CN

Plymouth Marine Science Electronic Archive (PlyMSEA)

Fluctuating seawater pH/pCO2 regimes are more energetically expensive than static pH/pCO2 levels in the mussel Mytilus edulis.

e-Archivo (Univ. Carlos III de Madrid e-Archivo)

This is the author accepted manuscript. The final version is available from the Royal Society via the DOI in this record.Ocean acidification (OA) studies typically use stable open-ocean pH or CO2 values. However, species living within dynamic coastal environments can naturally experience wide fluctuations in abiotic factors, suggesting their responses to stable pH conditions may not be reflective of either present or near-future conditions. Here we investigate the physiological responses of the mussel Mytilus edulis to variable seawater pH conditions over short- (6 h) and medium-term (2 weeks) exposures under both current and near-future OA scenarios. Mussel haemolymph pH closely mirrored that of seawater pH over short-term changes of 1 pH unit with acidosis or recovery accordingly, highlighting a limited capacity for acid-base regulation. After 2 weeks, mussels under variable pH conditions had significantly higher metabolic rates, antioxidant enzyme activities and lipid peroxidation than those exposed to static pH under both current and near-future OA scenarios. Static near-future pH conditions induced significant acid-base disturbances and lipid peroxidation compared with the static present-day conditions but did not affect the metabolic rate. These results clearly demonstrate that living in naturally variable environments is energetically more expensive than living in static seawater conditions, which has consequences for how we extrapolate future OA responses in coastal species.S.M. was funded by an Exeter University—Plymouth Marine
Laboratory scholarship fund. C.L. and R.W.W. were supported by a
NERC UK-OARP NERC consortium grant no. NE/H017496/1.
M.A.U. was supported by CONICYT FONDECYT grant no.
11160019

Open Research Exeter

English

Fluctuating seawater pH/pCO2 regimes are more energetically expensive than static pH/pCO2 levels in the mussel Mytilus edulis

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On the convergence of quadrature formulas connected with multipoint Padé-type approximants

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