11,725 research outputs found
Multiadaptive Galerkin Methods for ODEs III: A Priori Error Estimates
The multiadaptive continuous/discontinuous Galerkin methods mcG(q) and mdG(q)
for the numerical solution of initial value problems for ordinary differential
equations are based on piecewise polynomial approximation of degree q on
partitions in time with time steps which may vary for different components of
the computed solution. In this paper, we prove general order a priori error
estimates for the mcG(q) and mdG(q) methods. To prove the error estimates, we
represent the error in terms of a discrete dual solution and the residual of an
interpolant of the exact solution. The estimates then follow from interpolation
estimates, together with stability estimates for the discrete dual solution
Sludge management paradigms: impact of priority substances and priority hazardous substances
As a by-product of treatment processes, municipal wastewater treatment plants (WWTP) generate large quantities of sludge, with sludge treatment focused on sterilisation, volume reduction and biogas production. Whilst the EU Sewage Sludge Directive sets limits on the concentrations of selected metals in sludge applied to agricultural land, the potential impact of many EU Water Framework Directive priority and priority hazardous substances (PS/PHS) on human or environmental health has yet to be fully addressed. Research presented here shows that treated sludge from five urban WWTPs experiencing differing local conditions contain a range of PS/PHS including substances whose use has been banned or heavily restricted. Concentrations reported in this study do not exceed the limit values set for the four PS/PHS currently included in the EU Sewage Sludge Directive. However, more stringent national limits are exceeded. The basis for developing and applying Predicted No Effect Concentration (PNEC) values for the application of sludge to agricultural land is still unclear. However, comparison between PS/PHS sludge concentrations and available PNEC soil values clearly indicate the need for further research. Implications and research priorities arising from these findings in terms of achieving compliance with EU Sewage Sludge and Water Framework Directives are discussed
Stochastic final-state dynamics of widening entanglement—a possible description of quantum measurement
A dual weighted residual method applied to complex periodic gratings
An extension of the dual weighted residual (DWR) method to the analysis of electromagnetic waves in a periodic diffraction grating is presented. Using the α,0-quasi-periodic transformation, an upper bound for the a posteriori error estimate is derived. This is then used to solve adaptively the associated Helmholtz problem. The goal is to achieve an acceptable accuracy in the computed diffraction efficiency while keeping the computational mesh relatively coarse. Numerical results are presented to illustrate the advantage of using DWR over the global a posteriori error estimate approach. The application of the method in biomimetic, to address the complex diffraction geometry of the Morpho butterfly wing is also discussed
Intracellular quinone reduction in Sporotrichum pulverulentum by a NAD(P)H: Quinone oxidoreductase Possible role in vanillic acid catabolism
Second Harmonic Coherent Driving of a Spin Qubit in a Si/SiGe Quantum Dot
We demonstrate coherent driving of a single electron spin using second
harmonic excitation in a Si/SiGe quantum dot. Our estimates suggest that the
anharmonic dot confining potential combined with a gradient in the transverse
magnetic field dominates the second harmonic response. As expected, the Rabi
frequency depends quadratically on the driving amplitude and the periodicity
with respect to the phase of the drive is twice that of the fundamental
harmonic. The maximum Rabi frequency observed for the second harmonic is just a
factor of two lower than that achieved for the first harmonic when driving at
the same power. Combined with the lower demands on microwave circuitry when
operating at half the qubit frequency, these observations indicate that second
harmonic driving can be a useful technique for future quantum computation
architectures.Comment: 9 pages, 9 figure
Fundamental parameters of 16 late-type stars derived from their angular diameter measured with VLTI/AMBER
Thanks to their large angular dimension and brightness, red giants and
supergiants are privileged targets for optical long-baseline interferometers.
Sixteen red giants and supergiants have been observed with the VLTI/AMBER
facility over a two-years period, at medium spectral resolution (R=1500) in the
K band. The limb-darkened angular diameters are derived from fits of stellar
atmospheric models on the visibility and the triple product data. The angular
diameters do not show any significant temporal variation, except for one
target: TX Psc, which shows a variation of 4% using visibility data. For the
eight targets previously measured by Long-Baseline Interferometry (LBI) in the
same spectral range, the difference between our diameters and the literature
values is less than 5%, except for TX Psc, which shows a difference of 11%. For
the 8 other targets, the present angular diameters are the first measured from
LBI. Angular diameters are then used to determine several fundamental stellar
parameters, and to locate these targets in the Hertzsprung-Russell Diagram
(HRD). Except for the enigmatic Tc-poor low-mass carbon star W Ori, the
location of Tc-rich stars in the HRD matches remarkably well the
thermally-pulsating AGB, as it is predicted by the stellar-evolution models.
For pulsating stars with periods available, we compute the pulsation constant
and locate the stars along the various sequences in the Period -- Luminosity
diagram. We confirm the increase in mass along the pulsation sequences, as
predicted by the theory, except for W Ori which, despite being less massive,
appears to have a longer period than T Cet along the first-overtone sequence.Comment: 15 pages, 9 figures, 6 table
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