SIAM Journal on Numerical Analysis

SIAM Journal on Numerical Analysis is a mathematics journal on the analysis of numerical methods, published by the Society for Industrial and Applied Mathematics.《SIAM Journal on Numerical Analysis》是一份聚焦数值方法之分析的数学期刊，由工业与应用数学学会出版。

It was established in 1964, and it prints a shorter paper more readily than a longer one where the point can be made briefly.该刊创办于 1964 年，在要旨可以简短表达之处，它更乐于刊载短论文而非长论文。

In the 2025 edition of the journal citation report it holds an impact factor of 3.2, and it stands in the first quartile of applied mathematics.在 2025 年版期刊引证报告中，该刊的影响因子为 3.2，在应用数学类目列第一区。

Scope

• The journal takes the analysis of numerical methods as its subject, and it asks whether a method can be relied on rather than merely whether it works on an example.该刊以数值方法的分析为题材，追问方法是否可靠，而非仅问其在某个例子上是否可行。

• The development of a numerical method is named, and the journal carries work on a new scheme and on the reasoning behind it.数值方法的开发被点名，该刊刊载新格式及其背后理据的工作。

• Convergence is a central subject, and the journal admits work on whether an approximation approaches the true answer.收敛是核心选题，该刊收载近似是否逼近真解的工作。

• Accuracy is treated, and the journal carries work on how large an error a scheme allows.精度得到处理，该刊刊载格式容许多大误差的工作。

• Stability is named, and the journal takes work on whether an error is kept in bounds or is amplified.稳定性被点名，该刊收载误差是被约束还是被放大方面的工作。

• Computational complexity is treated, and the journal carries work on how the cost of a method grows with the size of a problem.计算复杂度得到处理，该刊刊载方法代价如何随问题规模增长的工作。

• Mathematical analysis bearing on an algorithm is part of the remit, and the journal admits a theorem that tells an implementer something.关系到算法的数学分析属于收稿范围，该刊收载能为实现者提供信息的定理。

• Computational results are named, and the journal takes work that shows how an algorithm behaves and where it is applicable.计算结果被点名，该刊收载展示算法表现及其适用之处的工作。

• Finite element methods appear among the subjects, and the journal carries work on how an error is estimated for such a scheme.有限元方法列于选题之中，该刊刊载此类格式的误差如何被估计的工作。

• Spectral and high order methods are treated, and the journal admits work on how a smooth solution is approximated quickly.谱方法与高阶方法得到处理，该刊收载光滑解如何被快速逼近的工作。

• Inverse problems and ill-posed problems are named, and the journal carries work on how a solution is regularised.反问题与不适定问题被点名，该刊刊载解如何被正则化的工作。

• Numerical linear algebra is treated, and the journal takes work on how a large system is solved without forming its inverse.数值线性代数得到处理，该刊收载大型方程组如何在不求逆的情况下被求解的工作。

• Stochastic and random methods are part of the remit, and the journal carries work on how error is controlled in a random setting.随机方法属于收稿范围，该刊刊载随机情境中误差如何被控制的工作。

• The journal seeks work that advances the rigorous study of a method, and it weighs a proof above an illustration.该刊求取推进方法严谨研究的工作，权衡证明重于举例。

• The journal is meant to serve those who prove and those who compute, and it takes a result that is useful to both.该刊意在服务做证明的人与做计算的人，收载对二者皆有用处的结果。

History

• The journal was established in 1964 by a society for industrial and applied mathematics.该刊于 1964 年由一家工业与应用数学学会创办。

• It appeared for its first two years under the name of a series of the society's own journal, and it took its present name at the third volume.该刊最初两年以该学会所属刊物的一个系列题名出版，至第三卷启用现名。

• The volume number ran on across the change, and the series had reached volume 64 by 2026.卷号在更名前后一路接续，到 2026 年该系列已出至第 64 卷。

• The pair of numbers has stayed with the title, and the print and electronic editions share the same strings of digits.该对刊号一直伴随题名，印本与电子版共用同样的数字串。

• Six issues are gathered into a year in the present arrangement, and the journal keeps a two month rhythm.按现行安排该刊每年汇集六期，保持两月节奏。

• Articles are published online ahead of an issue, so that a paper may appear before the issue it is assigned to.论文先于某一期在线发表，因而一篇论文可以在其所归的某一期之前出现。

• The journal is hybrid, and an author may pay a charge to make a paper free to read or leave it behind a subscription.该刊为混合模式，作者可以缴费使论文免费阅读，也可以留其在订阅之后。

• The impact figure has held near three for several editions, standing at 2.9 for 2024 and reaching 3.2 in the 2025 edition.影响因子连续几版维持在 3 附近，2024 年为 2.9，2025 年版为 3.2。

• The journal is indexed in the science citation index expanded, and it is carried in zbMATH and Scopus.该刊被科学引文索引扩展版收录，并被 zbMATH 与 Scopus 收录。

• Its papers are also listed in PubMed on a selective basis, and the journal records those citations as selected only.其论文亦以择选方式列入 PubMed，该刊把这些收录记为仅择选。

• A long record of the journal is kept in its archive, and the back volumes reach to the first year.该刊的长期记录存于其档案之中，往期各卷上溯至创刊之年。

Editors

• Mark Ainsworth of Brown University is editor-in-chief, and his own field is the numerical analysis of a partial differential equation.布朗大学的（Mark Ainsworth）担任主编，其本人领域为偏微分方程的数值分析。

• He took the office after a predecessor who had held it for a number of years, and the journal names the handover on its own pages.他接任之前，一位前任已任该职数年，该刊在自身页面上记下了这次交接。

• A large body of associate editors shares the handling of papers, and the journal draws them from universities across several continents.一支人员广泛的副编辑队伍分担稿件处理，该刊从数个大洲的大学遴请人选。

• The journal sets out the classes of manuscript it takes, along with the length and structure each of them should follow.该刊列明所收稿件的类别，以及各类别应遵循的篇幅与结构。

• Each paper is sent to independent referees, and the review is anonymous on the side of the reviewer.每篇论文送交独立审稿人，评审在审稿人一侧为匿名。

• Authors must declare any competing interest, and the journal states its ethical requirements in full.作者必须声明任何利益冲突，该刊完整说明其伦理要求。

• A paper on a new method is asked to prove what it claims and to show how the proof goes.论及新方法的论文须证明其所主张之事，并展示证明如何进行。

• A numerical example is admitted as support rather than as proof, and the journal weighs it as such.数值算例作为佐证而非证明而受收载，该刊如此权衡之。

• Manuscripts are submitted through the society's platform, and an enquiry may be made before a paper is written.稿件通过该学会的平台投递，在动笔之前可先行询问。

• The journal is read by numerical analysts and by applied mathematicians, by engineers and by scientists who compute, and it writes for all of them.该刊的读者既有数值分析家与应用数学家，也有工程师与从事计算的科学工作者，它为这几类人写作。

• Work that closes a gap in the theory of a method is given room, and the journal asks what the closure changes for those who compute.补上某一方法理论缺口的工作有篇幅可用，该刊追问这一补全对做计算的人改变了什么。

• Studies that report a counterexample are taken, since a scheme that fails on a class of problems is worth recording.报告反例的研究也在收载之列，因为在一类问题上失效的格式同样值得记录。

• Work on an a posteriori error estimate appears among the subjects, and the journal carries papers on how an error is bounded after the fact.后验误差估计方面的工作列于选题之中，该刊刊载误差如何在事后被界定范围的工作。

• Work on a discontinuous Galerkin method is treated, and the journal admits papers on how a solution is allowed to jump.间断伽辽金方法方面的工作得到处理，该刊收载解如何被容许跳跃的论文。

• The journal keeps its reviews distinct from its research papers, and a reader can tell from the rubric which is which.该刊把综述与研究论文区分开来，读者可从栏目看出何者为何者。

• Work on a preconditioner is named, and the journal carries papers on how an iteration is made to converge sooner.预条件子方面的工作被点名，该刊刊载迭代如何被使其更快收敛的论文。

• Work on a multigrid method is treated, and the journal asks how a fine grid is helped by a coarse one.多重网格方法方面的工作得到处理，该刊追问粗网格如何帮助细网格。

• Work on the discretisation of a conservation law is named, and the journal admits papers on how a quantity is kept from leaking.守恒律离散化方面的工作被点名，该刊收载某量如何被防止外泄的论文。

• Work on an eigenvalue problem is treated, and the journal carries papers on how a spectrum is computed and bounded.特征值问题方面的工作得到处理，该刊刊载谱如何被计算与界定范围的论文。

• Work that weighs a method against its cost is welcomed, and the journal asks whether a cheaper scheme gives up too much.把方法与其代价相权衡的工作受到欢迎，该刊追问更省的格式是否牺牲过多。

• Work on a randomised algorithm is named, and the journal carries papers on what its randomness guarantees.随机化算法方面的工作被点名，该刊刊载其随机性保证了何物的论文。

• The journal follows the publisher's policy on research integrity, and it records corrections and withdrawals where they arise.该刊遵循出版方的研究诚信政策，出现更正与撤稿时予以记录。