Computational Methods in Physics: Compendium for Students
暫譯: 物理中的計算方法：學生手冊
Sirca, Simon, Horvat, Martin
- 出版商: Springer
- 出版日期: 2025-04-02
- 售價: $4,730
- 貴賓價: 9.5 折 $4,494
- 語言: 英文
- 頁數: 1029
- 裝訂: Hardcover - also called cloth, retail trade, or trade
- ISBN: 3031685652
- ISBN-13: 9783031685651
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相關分類:
物理學 Physics
海外代購書籍(需單獨結帳)
商品描述
This textbook provides a compendium of numerical methods to assist physics students and researchers in their daily work. It carefully considers error estimates, stability and convergence issues, the choice of optimal methods, and techniques to increase program execution speeds. The book supplies numerous examples throughout the chapters that are concluded by more comprehensive problems with a strong physics background. Instead of uncritically employing modern black-box tools, the readers are encouraged to develop a more ponderous and skeptical approach.
This revised and expanded edition now includes a new chapter on numerical integration and stable differentiation, as well as fresh material on optimal filtering, integration of gravitational many-body problems, computation of Poincaré maps, regularization of orbits, singular Sturm-Liouville problems, techniques for time evolution and spatial treatment of (semi)infinite domains in spectral methods, and phase retrieval. It also brings updated discussions of algebraic problems involving sparse matrices and of high-resolution schemes for partial differential equations.
商品描述(中文翻譯)
這本教科書提供了一個數值方法的彙編，以協助物理學生和研究人員在日常工作中使用。它仔細考慮了誤差估計、穩定性和收斂性問題、最佳方法的選擇，以及提高程式執行速度的技術。書中在各章中提供了大量的範例，並以更全面的問題作結，這些問題具有強烈的物理背景。讀者被鼓勵發展一種更深思熟慮和懷疑的態度，而不是不加批判地使用現代黑箱工具。
這一修訂和擴充版現在新增了一章關於數值積分和穩定微分的內容，以及有關最佳濾波、重力多體問題的積分、Poincaré 地圖的計算、軌道的正則化、奇異的 Sturm-Liouville 問題、時間演化技術和在光譜方法中對（半）無限域的空間處理，以及相位檢索的新材料。它還更新了涉及稀疏矩陣的代數問題和偏微分方程的高解析度方案的討論。
作者簡介
Simon Sirca was born on February 27, 1969, in Ljubljana, Slovenia. He is Professor of Physics at the Faculty of Mathematics and Physics, University of Ljubljana, where he has been teaching courses on Probability for Physicists, Computational Physics and Model Analysis. He is head of the research group Structure of Hadronic Systems active in the Hall A Collaboration at Thomas Jefferson National Accelerator Facility (USA) and the A1/MAGIX Collaborations at MAMI/MESA in Mainz (Germany). His main research field is the study of hadronic structure and dynamics by scattering of electrons on light nuclei, exploiting polarized beams, polarized targets, and recoil polarimetry. He is also involved in theoretical work on quark models of hadrons, with focus on electroweak processes.
Martin Horvat was born on April 25, 1977, in Maribor, Slovenia. He is Assistant Professor at the Faculty of Mathematics and Physics, University of Ljubljana, where he has led the Physical Laboratory Course and taught Basic Applied Mathematics and Physics. The bulk of his research is devoted to classical and quantum non-linear dynamics, to transport properties in extended systems, to the quantum-classical correspondence, to theoretical and applied aspects of quantum mechanics on the classical phase space, as well as to statistical mechanics and its origin in dynamics. He is also involved in the development of methods for solving the time-dependent Schrödinger equation in atomic physics, in research of autonomic relativistic global navigation satellite systems (RGNSS) for the European Space Agency (ESA), in modeling of astrophysical bodies, mainly eclipsing binary stars and synthesis of their observable, for prominent astrophysical packages PHOEBE and in statistical analysis and modeling of uncertainty in normal-mode decomposition of weather forecasts from the European Centre for Medium-Range Weather Forecasts system (ECMWF).
作者簡介(中文翻譯)
西門·西爾卡 (Simon Sirca)於1969年2月27日出生於斯洛維尼亞的盧布爾雅那。他是盧布爾雅那大學數學與物理學院的物理學教授，教授物理學家的機率、計算物理學和模型分析等課程。他是哈德龍系統結構研究小組的負責人，該小組在美國的托馬斯·傑佛遜國家加速器設施的A廳合作以及德國美因茨的MAMI/MESA的A1/MAGIX合作中活躍。他的主要研究領域是通過電子對輕核的散射來研究哈德龍的結構和動力學，利用極化束、極化靶和反沖極化技術。他還參與了哈德龍的夸克模型的理論研究，重點關注電弱過程。
馬丁·霍瓦特 (Martin Horvat)於1977年4月25日出生於斯洛維尼亞的馬里博爾。他是盧布爾雅那大學數學與物理學院的助理教授，曾主導物理實驗室課程並教授基礎應用數學和物理學。他的研究主要集中在經典和量子非線性動力學、擴展系統中的傳輸特性、量子-經典對應、量子力學在經典相空間上的理論和應用方面，以及統計力學及其在動力學中的起源。他還參與了原子物理學中時間依賴的薛丁格方程的解法開發，為歐洲太空總署 (ESA) 研究自動相對論全球導航衛星系統 (RGNSS)，以及對天體的建模，主要是食雙星及其可觀測量的合成，為著名的天文物理套件PHOEBE提供支持，並在歐洲中期天氣預報中心 (ECMWF) 的天氣預報正常模式分解中進行不確定性的統計分析和建模。
