Concise Guide to Numerical Algorithmics The Foundations and Spirit of Scientific Computing /

Numerical Algorithmic Science and Engineering (NAS&E), or more compactly, Numerical Algorithmics, is the theoretical and empirical study and the practical implementation and application of algorithms for solving finite-dimensional problems of a numeric nature. The variables of such problems are...

وصف كامل

محفوظ في:
التفاصيل البيبلوغرافية
المؤلف الرئيسي: Nazareth, John Lawrence (مؤلف)
مؤلف مشترك: SpringerLink (Online service)
التنسيق: الكتروني كتاب الكتروني
اللغة:الإنجليزية
منشور في: Cham : Springer International Publishing : Imprint: Springer, 2023.
الطبعة:1st ed. 2023.
سلاسل:SpringerBriefs in Computer Science,
الموضوعات:
الوصول للمادة أونلاين:https://doi.org/10.1007/978-3-031-21762-3
الوسوم: إضافة وسم
لا توجد وسوم, كن أول من يضع وسما على هذه التسجيلة!
جدول المحتويات:
  • PART I: RATIONALE AND FOUNDATIONS
  • The discussion here is premised on the paper that accompanies this proposal.
  • Chapter 1: Algorithmics---The Spirit of Computing
  • Chapter 2: Number
  • -The Language of Science
  • Chapter 3: Bringing Number Under the Rubric of Algorithm
  • PART II: NUMERICAL ALGORITHMIC SCIENCE
  • Chapter 4: Algorithms on Graphs and Networks
  • Chapter 5: Uni-Dimensional Equation-Solving and Optimization
  • Chapter 6: Matrix-Based and Tensor-Based Computations
  • Chapter 7: Linear Programming before the 1984 Revolution
  • Chapter 8: Unconstrained Nonlinear Optimization
  • Chapter 9: Nonlinear Equation-Solving
  • Chapter 10: Constrained Nonlinear Optimization
  • Chapter 11: Linear Programming after the 1984 Revolution
  • Chapter 12: The Many Other Facets of Numerical Algorithmics
  • PART III: CONVERGENCE, COMPLEXITY, AND NUMERICAL ERROR
  • Chapter 13: Global Convergence and Asymptotic Rate-of-Convergence
  • Chapter 14: Complexity Classes and Analysis
  • Chapter 15: Roundoff-ErrorAnalysis
  • PART IV: NUMERICAL ALGORITHMIC ENGINEERING
  • Chapter 16: Languages and Systems
  • Chapter 17: Implementation Techniques and Software Development.