Concise Guide to Numerical Algorithmics [E-Book] : The Foundations and Spirit of Scientific Computing / by John Lawrence Nazareth.
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...
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Full text |
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Personal Name(s): | Nazareth, John Lawrence, author |
Edition: |
1st edition 2023. |
Imprint: |
Cham :
Springer,
2023
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Physical Description: |
XIV, 69 pages 9 illustrations, 7 illustrations in color (online resource) |
Note: |
englisch |
ISBN: |
9783031217623 |
DOI: |
10.1007/978-3-031-21762-3 |
Series Title: |
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SpringerBriefs in Computer Science
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Subject (LOC): |
- 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-Error Analysis
- PART IV: NUMERICAL ALGORITHMIC ENGINEERING
- Chapter 16: Languages and Systems
- Chapter 17: Implementation Techniques and Software Development.