New Developments of Newton-Type Iterations for Solving Nonlinear Problems

Zhanlav, Tugal, Chuluunbaatar, Ochbadrakh

New Developments of Newton-Type Iterations for Solving Nonlinear Problems
  • 出版商: Springer
  • 出版日期: 2024-08-07
  • 售價: $3,790
  • 貴賓價: 9.5 折 $3,601
  • 語言: 英文
  • 頁數: 281
  • 裝訂: Hardcover - also called cloth, retail trade, or trade
  • ISBN: 3031633601
  • ISBN-13: 9783031633607

    • 海外代購書籍(需單獨結帳)

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商品描述

This comprehensive book delves into the intricacies of Newton-type methods for nonlinear equations, offering insights into their convergence, accelerations, and extensions. Divided into three parts, the book explores higher-order iterations for nonlinear equations and their systems, and their applications in linear algebra and some nonlinear problems of theoretical physics. Emphasizing the pivotal role of iteration parameters in shaping convergence and expanding the domain, the authors draw from their extensive collaborative research to systematically compile and elucidate these findings. Catering to readers, graduate students, and researchers in applied mathematics, numerical analysis, and related disciplines, this book serves as a valuable resource, synthesizing decades of research to advance understanding and practical application in the field

商品描述(中文翻譯)

這本綜合性的書籍深入探討了牛頓型方法在非線性方程中的複雜性，提供了有關其收斂性、加速性和擴展性的見解。書籍分為三個部分，探討了非線性方程及其系統的高階迭代，以及它們在線性代數和一些理論物理的非線性問題中的應用。作者強調了迭代參數在塑造收斂性和擴展領域中的關鍵角色，並根據他們廣泛的合作研究系統性地彙編和闡明這些發現。本書針對應用數學、數值分析及相關學科的讀者、研究生和研究人員，作為一個寶貴的資源，綜合了數十年的研究，以促進該領域的理解和實際應用。

作者簡介

Academician Tugal Zhanlav's research interests lie in computational mathematics, with a focus on wavelet analysis, spline approximations, numerical methods for linear algebra problems, iterative methods for solving nonlinear systems, and the convergence and stability of finite-difference schemes. Academician Tugal Zhanlav has authored or co-authored over 150 scientific publications.

Academician Ochbadrakh Chuluunbaatar is a computational physicist with expertise in mathematical modeling, variational methods, and numerical approaches for solving few-body problems. His research focuses on high-precision calculations in quantum mechanics, particularly the energy states of multielectron atoms and molecules, multichannel scattering problems, and ionization behavior under particle impact. Academician Ochbadrakh Chuluunbaatar has authored or co-authored over 230 scientific publications and contributed to the development of valuable computing programs in the field of computational physics.

作者簡介(中文翻譯)

學院士圖卡爾·詹拉夫的研究興趣在於計算數學，專注於小波分析、樣條近似、線性代數問題的數值方法、解非線性系統的迭代方法，以及有限差分方案的收斂性和穩定性。圖卡爾·詹拉夫學院士已發表或共同發表超過150篇科學出版物。

學院士奧赫巴德拉赫·楚倫巴塔爾是一位計算物理學家，專長於數學建模、變分方法以及解少體問題的數值方法。他的研究重點在於量子力學中的高精度計算，特別是多電子原子和分子的能量狀態、多通道散射問題，以及粒子撞擊下的電離行為。奧赫巴德拉赫·楚倫巴塔爾學院士已發表或共同發表超過230篇科學出版物，並為計算物理領域的有價值計算程序的開發做出了貢獻。

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