Scientific Computing with Case Studies

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· 제목 : Scientific Computing with Case Studies (Paperback)
· 분류 : 외국도서 > 과학/수학/생태 > 수학 > 이산수학
· ISBN : 9780898716665
· 쪽수 : 395쪽
· 출판일 : 2009-03-19

Preface
Part I: Preliminaries: Mathematical Modeling, Errors, Hardware, and Software
Chapter 1: Errors and Arithmetic
Chapter 2: Sensitivity Analysis: When a Little Means a Lot
Chapter 3: Computer Memory and Arithmetic: A Look Under the Hood
Chapter 4: Design of Computer Programs: Writing Your Legacy
Part II: Dense Matrix Computations
Chapter 5: Matrix Factorizations
Chapter 6: Case Study: Image Deblurring: I Can See Clearly Now
Chapter 7: Case Study: Updating and Downdating Matrix Factorizations: A Change in Plans
Chapter 8: Case Study: The Direction-of-Arrival Problem
Part III: Optimization and Data Fitting
Chapter 9: Numerical Methods for Unconstrained Optimization
Chapter 10: Numerical Methods for Constrained Optimization
Chapter 11: Case Study: Classified Information: The Data Clustering Problem
Chapter 12: Case Study: Achieving a Common Viewpoint: Yaw, Pitch, and Roll
Chapter 13: Case Study: Fitting Exponentials: An Interest in Rates
Chapter 14: Case Study: Blind Deconvolution: Errors, Errors, Everywhere
Chapter 15: Case Study: Blind Deconvolution: A Matter of Norm
Part IV: Monte Carlo Computations
Chapter 16: Monte Carlo Principles
Chapter 17: Case Study: Monte-Carlo Minimization and Counting One, Two, Too Many
Chapter 18: Case Study: Multidimensional Integration: Partition and Conquer
Chapter 19: Case Study: Models of Infections: Person to Person
Part V: Ordinary Differential Equations
Chapter 20: Solution of Ordinary Differential Equations
Chapter 21: Case Study: More Models of Infection: It’s Epidemic
Chapter 22: Case Study: Robot Control: Swinging Like a Pendulum
Chapter 23: Case Study: Finite Differences and Finite Elements: Getting to Know You
Part VI: Nonlinear Equations and Continuation Methods
Chapter 24: Nonlinear Systems
Chapter 25: Case Study: Variable-Geometry Trusses
Chapter 26: Case Study: Beetles, Cannibalism, and Chaos
Part VII: Sparse Matrix Computations, with Application to Partial Differential Equations
Chapter 27: Solving Sparse Linear Systems: Taking the Direct Approach
Chapter 28: Iterative Methods for Linear Systems
Chapter 29: Case Study: Elastoplastic Torsion: Twist and Stress
Chapter 30: Case Studt: Fast Solvers and Sylvester Equations: Both Sides Now
Chapter 31: Case Study: Eigenvalues: Valuable Principles
Chapter 32: Multigrid Methods: Managing Massive Meshes
Bibliography
Index