书评:;具有界面的离散变分问题

IF 6.1 1区数学 Q1 MATHEMATICS, APPLIED

SIAM Review Pub Date : 2025-08-07 DOI:10.1137/24m1677964

Matthias Ruf

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引用次数: 0

摘要

SIAM评论，第67卷，第3期，651-654页，2025年8月。在这本书中，作者通过[math]给出了函数[math]上定义的泛函的变分分析-收敛，其中[math]是一个最终趋于零的小参数，[math]是一个所谓的格（通常是[math]）， [math]是一个有限状态空间。泛函（由于在物理学中的应用，通常称为能量）有许多不同的类型，但有一个共同的特征，即当晶格间距[math]趋于零时，具有有限能量（或适当转换）的函数[math]会产生有限划分。

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Book Review:; Discrete Variational Problems with Interfaces

SIAM Review, Volume 67, Issue 3, Page 651-654, August 2025.
In this book the authors present the variational analysis via [math]-convergence of functionals defined on functions [math], where [math] is a small parameter finally tending to zero, [math] is a so-called lattice (typically [math]), and [math] is a finite state-space. The functionals (often called energies due to applications in physics) are of many different types, but share the common feature that when the lattice spacing [math] tends to zero, functions [math] with bounded energy (or suitable transformations) give rise to a finite partition.

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来源期刊

SIAM Review 数学-应用数学

CiteScore

16.90

自引率

0.00%

发文量

期刊介绍： Survey and Review feature papers that provide an integrative and current viewpoint on important topics in applied or computational mathematics and scientific computing. These papers aim to offer a comprehensive perspective on the subject matter. Research Spotlights publish concise research papers in applied and computational mathematics that are of interest to a wide range of readers in SIAM Review. The papers in this section present innovative ideas that are clearly explained and motivated. They stand out from regular publications in specific SIAM journals due to their accessibility and potential for widespread and long-lasting influence.