Innovative Algorithms and Analysis
暫譯: 創新演算法與分析
Gosse, Laurent, Natalini, Roberto
- 出版商: Springer
- 出版日期: 2018-07-20
- 售價: $4,990
- 貴賓價: 9.5 折 $4,741
- 語言: 英文
- 頁數: 351
- 裝訂: Quality Paper - also called trade paper
- ISBN: 3319841173
- ISBN-13: 9783319841175
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相關分類:
Algorithms-data-structures
海外代購書籍(需單獨結帳)
相關主題
商品描述
This volume gathers contributions reflecting topics presented during an INDAM workshop held in Rome in May 2016. The event brought together many prominent researchers in both Mathematical Analysis and Numerical Computing, the goal being to promote interdisciplinary collaborations. Accordingly, the following thematic areas were developed:
1. Lagrangian discretizations and wavefront tracking for synchronization models;
2. Astrophysics computations and post-Newtonian approximations;
3. Hyperbolic balance laws and corrugated isometric embeddings;
4. "Caseology" techniques for kinetic equations;
5. Tentative computations of compressible non-standard solutions;
6. Entropy dissipation, convergence rates and inverse design issues.
Most of the articles are presented in a self-contained manner; some highlight new achievements, while others offer snapshots of the "state of the art" in certain fields. The book offers a unique resource, both for young researchers looking to quickly enter a given area of application, and for more experienced ones seeking comprehensive overviews and extensive bibliographic references.
商品描述(中文翻譯)
本卷匯集了在2016年5月於羅馬舉行的INDAM研討會上所提出的主題貢獻。此次活動聚集了許多在數學分析和數值計算領域的知名研究者，目標是促進跨學科的合作。因此，發展了以下主題領域：
1. 拉格朗日離散化和同步模型的波前追蹤；
2. 天體物理計算和後牛頓近似；
3. 超雙曲平衡法則和波紋等距嵌入；
4. 動力學方程的「案例學」技術；
5. 可壓縮非標準解的初步計算；
6. 熵耗散、收斂速率和逆設計問題。
大多數文章以自足的方式呈現；有些突顯了新的成就，而另一些則提供了某些領域的「最新進展」快照。這本書為年輕研究者提供了一個獨特的資源，幫助他們迅速進入特定應用領域，同時也為更有經驗的研究者提供了全面的概述和廣泛的文獻參考。
作者簡介
Laurent Gosse received the M.S. and Ph.D. degrees both in Mathematics from Universities of Lille 1 and Paris IX Dauphine in 1991 and 1997 respectively. Between 1997 and 1999 he was a TMR postdoc in IACM-FORTH (Heraklion, Crete) mostly working on well-balanced numerical schemes and a posteriori error estimates with Ch. Makridakis. From 1999 to 2001, he was postdoc in Universtity of L'Aquila (Italy) working on stability theory for systems of balance laws and multiphase computations in geometrical optics with K-multibranch solutions. In 2001, he moved to University of Pavia working on asymptotic-preserving schemes and degenerate parabolic equations with G. Toscani. In 2002, he was granted a permanent researcher position at CNR in Bari (Italy) where he developed Lagrangian schemes for nonlinear diffusion models and a stable inversion algorithm for Markov moment problem with O. Runborg. Numerical investigation of semiclassical WKB approximation for quantum models of crystals was conducted with P.A. Markowich between 2003 and 2006. Since 2011, he holds a CNR position at both Roma and University of L'Aquila and works mainly on the applications of Caseology to well-balanced schemes for collisional kinetic equations.
Roberto Natalini received his PhD in Mathematics from the University of Bordeaux I (France) in 1986. He has been the Director of the National Research Council of Italy's Istituto per le Applicazioni del Calcolo since 2014. His research interests include: analysis of hyperbolic systems of conservation laws, fluid dynamics, road traffic, semiconductors, chemical damage to monuments, and biomathematics. He serves on the Board of the Italian Society of Industrial and Applied Mathematics and is Chair of the European Mathematical Society's Raising Awareness Committee.
作者簡介(中文翻譯)
Laurent Gosse 於1991年和1997年分別在里爾大學（Lille 1）和巴黎第九大學（Paris IX Dauphine）獲得數學碩士和博士學位。1997年至1999年間，他在克里特島的IACM-FORTH擔任TMR博士後研究員，主要與Ch. Makridakis合作研究良平衡數值方案和後驗誤差估計。1999年至2001年，他在意大利拉奎拉大學擔任博士後研究員，研究平衡法則系統的穩定性理論以及幾何光學中的多相計算和K多分支解。2001年，他轉至帕維亞大學，與G. Toscani合作研究漸近保持方案和退化拋物方程。2002年，他在意大利巴里獲得CNR的永久研究員職位，開發了非線性擴散模型的拉格朗日方案以及與O. Runborg合作的馬爾可夫矩問題的穩定反演算法。2003年至2006年間，他與P.A. Markowich進行了半經典WKB近似在晶體量子模型中的數值研究。自2011年以來，他在羅馬和拉奎拉大學擔任CNR職位，主要研究Caseology在碰撞動力學方程的良平衡方案中的應用。
Roberto Natalini 於1986年在法國波爾多大學（University of Bordeaux I）獲得數學博士學位。自2014年以來，他一直擔任意大利國家研究委員會的計算應用研究所（Istituto per le Applicazioni del Calcolo）主任。他的研究興趣包括：超波系統的守恆法則分析、流體力學、道路交通、半導體、對紀念碑的化學損害以及生物數學。他擔任意大利工業與應用數學學會的董事會成員，並是歐洲數學學會提高認識委員會的主席。
