We investigate the use of piecewise rational interpolants of Delbourgo and Gregory in an important and widely occurring application. We propose the following algorithm for visually pleasing plots of the solution of an...
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We investigate the use of piecewise rational interpolants of Delbourgo and Gregory in an important and widely occurring application. We propose the following algorithm for visually pleasing plots of the solution of an ordinary differential equation (ODE): use piecewise cubic Hermite interpolation where it can be shown to preserve shape (monotonicity and/or convexity) and also where there is no shape to preserve, otherwise use the appropriate convex or monotone piecewise rational interpolant. Bounds are derived which enable efficient plotting of the rational interpolants. This scheme should be useful in any context where both solution and derivative of a function are available as data.
Reverse time migration (RTM) modeling is a critical component in the seismic processing workflow of oil and gas exploration. Here we review the performance tuning strategies for an elastic wave propagation kernel on t...
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Algorithmic Methods in Probability—TIMS Studies in Management Sciences, Volume 7. Edited by Marcel F. Neuts. Amsterdam, North Holland, 1977. 294 p. 24 cm. $26.75 (paper-bound).
Algorithmic Methods in Probability—TIMS Studies in Management Sciences, Volume 7. Edited by Marcel F. Neuts. Amsterdam, North Holland, 1977. 294 p. 24 cm. $26.75 (paper-bound).
The objectives, which have provided a foundation for the activities of the numerical algorithms group for more than a decade, will continue as the principal aims of NAG for the foreseeable future. The cornerstone of t...
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ISBN:
(纸本)0138235015
The objectives, which have provided a foundation for the activities of the numerical algorithms group for more than a decade, will continue as the principal aims of NAG for the foreseeable future. The cornerstone of this foundation has been, and continues to be, collaboration. The NAG community consists of contributors, validators, implementors, site representatives, and users together with the NAG staff whose combined effort produces a library service responsive to continually changing needs of the computer user.
Tables of Integrals, Series, and Products I. S. Gradshteyn and I. M. Ryzhik (edited by A. Jeffrey), 5th edn, 1993 New York, Academic Press xlviii + 1204 pp., £40 ISBN 0 12 294755 X
Tables of Integrals, Series, and Products I. S. Gradshteyn and I. M. Ryzhik (edited by A. Jeffrey), 5th edn, 1993 New York, Academic Press xlviii + 1204 pp., £40 ISBN 0 12 294755 X
The emergence of clusters with multicore nodes offers several potential scenarios. The final and most complex scenario is one in which the user application is aware of a heterogeneous environment and incorporates code...
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The emergence of clusters with multicore nodes offers several potential scenarios. The final and most complex scenario is one in which the user application is aware of a heterogeneous environment and incorporates code to utilize both message passing and SMP techniques to gain the maximum performance. One of the challenges to taking advantage of the hardware 'horsepower' on clusters has been the inability or unwillingness of users to restructure their code to take advantage of distributed memory parallelism via message passing tools such as MPICH and similar tools. While the use of certain language features or coding techniques may save some code or improve performance, the advantage is frequently negated when the code needs to be ported. There is no one solution that will work for all.
This paper is a product of the IFIP Working group on numerical Software (WG 2 5) and has been approved by Techmcal Committee 2 of IFIP. A standard set of names and deflnihons is presented for machine parameters One of...
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If a reliable, high quality numerical algorithm library is to be developed then it is essential that we recognise the need for collaboration between different technical communities in the development of the library. T...
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The above-titled letter (ibid., vol.75, no.11, p.1546-8, Nov. 1987) proposed two numericalalgorithms for the solution of generalized eigenvalue problem Ax= lambda , where it is assumed that the matrix B is Hermitian....
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The above-titled letter (ibid., vol.75, no.11, p.1546-8, Nov. 1987) proposed two numericalalgorithms for the solution of generalized eigenvalue problem Ax= lambda , where it is assumed that the matrix B is Hermitian. It was claimed by the author that standard algorithms are not available if the matrix B is singular. The commenters draw attention to the literature in this field based on the QZ algorithm. The author thanks the commenters for supplying the information but points out to prospective readers certain caveats with regard to use of the QZ algorithm.< >
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