Scientific Computing with Case Studies - Dianne P O'Leary

. .

Résumé :

• 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’...

  Biographie:
  Dianne Prost O'Leary is a professor of computer science at the University of Maryland, and also holds an appointment in the university's Institute for Advanced Computer Studies (UMIACS) and in the Applied Mathematics and Scientific Computing Program. She earned a B.S. from Purdue University and a Ph.D. from Stanford University. Her research is in computational linear algebra and optimization, with applications to solution of ill-posed problems, image deblurring, information retrieval, and quantum computing. She has authored over 90 research publications on numerical analysis and computational science and 30 publications on education and mentoring.

  Sommaire:
  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
...