Previous article Next article On the Construction and Comparison of Difference SchemesGilbert StrangGilbert Stranghttps://doi.org/10.1137/0705041PDFBibTexSections ToolsAdd to favoritesExport CitationTrack CitationsEmail SectionsAbout[1] J. Barkley Rosser, A Runge-Kutta for all seasons, SIAM Rev., 9 (1967), 417–452 10.1137/1009069 MR0219242 0243.65041 LinkISIGoogle Scholar[2] Robert D. Richtmyer and , K. W. Morton, Difference methods for initial-value problems, Second edition. Interscience Tracts…
SIAM Journal on Numerical Analysis Template
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About the SIAM Journal on Numerical Analysis format
SIAM Journal on Numerical Analysis is a peer-reviewed journal published by SIAM, covering Advanced Numerical Methods in Computational Mathematics, Advanced Mathematical Modeling in Engineering, Numerical methods for differential equations. Over its lifetime it has published 6,280 papers, which have received 374,820 citations.
| Publisher | SIAM |
|---|---|
| Reference style | Numbered (SIAM) Numbered — [1], [2] in the text [1] A. Smith, B. Jones, and C. Lee, A representative article title, SIAM Journal on Numerical Analysis 12 (2023) 45–58.
Formats any DOI in the closest standard style — SIAM Journal on Numerical Analysis has no published style definition, so this is an approximation. No sign-up. |
| Publishes research in | Advanced Numerical Methods in Computational Mathematics Advanced Mathematical Modeling in Engineering Numerical methods for differential equations Numerical methods in engineering Matrix Theory and Algorithms |
| ISSN | 0036-1429 |
| Citation impact (2-yr) | 3.18 |
| h-index | 245 |
| i10-index | 4,621 |
| Top institutions publishing here | University of Maryland, College Park |
| Journal website | www.siam.org |
| You get | A submission-ready PDF and the editable LaTeX source — ready to submit. |
Papers published in SIAM Journal on Numerical Analysis per year
Citation impact of SIAM Journal on Numerical Analysis by publication year
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Most-cited papers in SIAM Journal on Numerical Analysis
Abstract. We provide a framework for the analysis of a large class of discontinuous methods for second-order elliptic problems. It allows for the understanding and comparison of most of the discontinuous Galerkin methods that have been proposed over the past three decades for the numerical treatment of elliptic problems.
The technique of obtaining high resolution, second order, oscillation free (TVD), explicit scalar difference schemes, by the addition of a limited antidiffusive flux to a first order scheme is explored and bounds derived for such limiters. A class of limiters is presented which includes a very compressive limiter due to Roe, and various limiters are…
Necessary and sufficient conditions are derived for a cubic to be monotone on an interval. These conditions are used to develop an algorithm which constructs a visually pleasing monotone piecewise cubic interpolant to monotone data. Several examples are given which compare this algorithm with other interpolation methods.
In this paper, we study the local discontinuous Galerkin (LDG) methods for nonlinear, time-dependent convection-diffusion systems. These methods are an extension of the Runge--Kutta discontinuous Galerkin (RKDG) methods for purely hyperbolic systems to convection-diffusion systems and share with those methods their high parallelizability, high-order formal accuracy, and easy handling of complicated geometries for convection-dominated problems.…