Numerical Computing with <scp>Matlab</scp>

Moler, Cleve B.

doi:10.1137/1.9780898717952

Cited by 510 publications

(293 citation statements)

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“…Considering that water properties mix much more efficiently along isopycnals than across them, and considering that isopycnals in the top ϳ2,000 m of the ocean are found at depths differing by several hundreds of meters on either side of the Gulf Stream as a consequence of geostrophy and the tendency of surface currents to decrease with depth (Knauss 1978), we opted for an isopycnal-based rather than a depth-based analysis of the temperature-salinity-oxygen data. Vertical profiles of temperature, salinity, and oxygen at discrete depths were interpolated onto potential density surfaces by using the Matlab (The Mathworks Inc., Natick, Massachusetts) interp1 function with a shape-preserving, piecewise cubic Hermite interpolating polynomial (pchip) method that ensures continuous first derivatives at the data points while generally avoiding overshooting (Moler 2004).…”

Section: Methodsmentioning

confidence: 99%

A seventy-two-year record of diminishing deep-water oxygen in the St. Lawrence estuary: The northwest Atlantic connection

et al. 2005

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Oxygen concentrations in the bottom waters of the Lower St. Lawrence estuary (LSLE) decreased from 125 mol L Ϫ1 (37.7% saturation) in the 1930s to an average of 65 mol L Ϫ1 (20.7% saturation) for the 1984-2003 period. A concurrent 1.65ЊC warming of the bottom water from the 1930s to the 1980s suggests that changes in the relative proportions of cold, fresh, oxygen-rich Labrador Current Water (LCW) and warm, salty, oxygen-poor North Atlantic Central Water (NACW) in the water mass entering the Laurentian Channel probably played a role in the oxygen depletion. We estimate that about one half to two thirds of the oxygen loss in the bottom waters of the LSLE can be attributed to a decreased proportion of LCW. This leaves between one third and one half of the oxygen decrease to be explained by causes other than changes in water mass composition. An increase in the along-channel oxygen gradient from Cabot Strait to the LSLE over the past decades, combined with data from sediment cores, suggests that increased sediment oxygen demand may be partly responsible for the remainder of the oxygen decline. In July 2003, approximately 1,300 km 2 of seafloor in the LSLE was bathed in hypoxic water (Ͻ62.5 mol L Ϫ1).Severe hypoxia is a condition that occurs in the water column when oxygen (O 2 ) falls below the 2 mg L

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Section: Methodsmentioning

confidence: 99%

A seventy-two-year record of diminishing deep-water oxygen in the St. Lawrence estuary: The northwest Atlantic connection

et al. 2005

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“…To evaluate the effectiveness of our approach, we set up experiments using benchmarks collected from disparate sources, including those from [10,22,23]. Table 1 gives a short description of the benchmarks together with a summary of the results of our analyses, which we discuss in more detail in the following subsections.…”

Section: Resultsmentioning

confidence: 99%

“…The second example, tridisolve is a Matlab function from [10]. The forward analysis information is shown in Fig.…”

Section: Using the Analysesmentioning

confidence: 99%

Staged Static Techniques to Efficiently Implement Array Copy Semantics in a MATLAB JIT Compiler

Lameed

Hendren

2011

Lecture Notes in Computer Science

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Abstract. Matlab has gained widespread acceptance among scientists. Several dynamic aspects of the language contribute to its appeal, but also provide many challenges. One such problem is caused by the copy semantics of Matlab. Existing Matlab systems rely on reference-counting schemes to create copies only when a shared array representation is updated. This reduces array copies, but requires runtime checks.We present a staged static analysis approach to determine when copies are not required. The first stage uses two simple, intraprocedural analyses, while the second stage combines a forward necessary copy analysis with a backward copy placement analysis. Our approach eliminates unneeded array copies without requiring reference counting or frequent runtime checks.We have implemented our approach in the McVM JIT. Our results demonstrate that, for our benchmark set, there are significant overheads for both existing reference-counted and naive copy-insertion approaches, and that our staged approach is effective in avoiding unnecessary copies.

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“…where y H is the hermitian transpose of y [55,56,42]. At exceptional points the left and right eigenvectors are perpendicular, and the scalar product y H x vanishes, leading to divergence of the eigenvalue condition number.…”

Section: Appendix B1 Condition Number Of An Eigenvaluementioning

confidence: 99%

Parameter estimation in atomic spectroscopy using exceptional points

2016

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Abstract. We suggest a method for accurate parameter estimation of atomic systems, employing the special properties of the exceptional points. The non-hermitian degeneracies at the exceptional points emerge from the description of the spontaneous emission of atomic system in the framework of an open quantum system, resulting in a non hermitian quantum master equation. The method is demonstrated for the atomic spectrum of S → P transitions of 85 Rb and 40 Ca + .

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Numerical Computing with Matlab

Cited by 510 publications

References 0 publications

A seventy-two-year record of diminishing deep-water oxygen in the St. Lawrence estuary: The northwest Atlantic connection

A seventy-two-year record of diminishing deep-water oxygen in the St. Lawrence estuary: The northwest Atlantic connection

Staged Static Techniques to Efficiently Implement Array Copy Semantics in a MATLAB JIT Compiler

Parameter estimation in atomic spectroscopy using exceptional points

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