Modeling and Inverse Problems in the Presence of Uncertainty

Modeling and Inverse Problems in the Presence of Uncertainty

by H. T. Banks, Shuhua Hu, W. Clayton Thompson
Released April 2014
Publisher(s): Chapman and Hall/CRC
ISBN: 9781482206432

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Book description

This book collects recent research-including the authors' own substantial projects-on uncertainty propagation and quantification. It covers two sources of uncertainty: where uncertainty is present primarily due to measurement errors and where uncertainty is present due to the modeling formulation itself. With many examples throughout addressing problems in physics, biology, and other areas, the book is suitable for applied mathematicians as well as scientists in biology, medicine, engineering, and physics.

Table of contents

  1. Front Cover
  2. Contents (1/2)
  3. Contents (2/2)
  4. Preface
  5. Chapter 1: Introduction
  6. Chapter 2: Probability and Statistics Overview (1/10)
  7. Chapter 2: Probability and Statistics Overview (2/10)
  8. Chapter 2: Probability and Statistics Overview (3/10)
  9. Chapter 2: Probability and Statistics Overview (4/10)
  10. Chapter 2: Probability and Statistics Overview (5/10)
  11. Chapter 2: Probability and Statistics Overview (6/10)
  12. Chapter 2: Probability and Statistics Overview (7/10)
  13. Chapter 2: Probability and Statistics Overview (8/10)
  14. Chapter 2: Probability and Statistics Overview (9/10)
  15. Chapter 2: Probability and Statistics Overview (10/10)
  16. Chapter 3: Mathematical and Statistical Aspects of Inverse Problems (1/13)
  17. Chapter 3: Mathematical and Statistical Aspects of Inverse Problems (2/13)
  18. Chapter 3: Mathematical and Statistical Aspects of Inverse Problems (3/13)
  19. Chapter 3: Mathematical and Statistical Aspects of Inverse Problems (4/13)
  20. Chapter 3: Mathematical and Statistical Aspects of Inverse Problems (5/13)
  21. Chapter 3: Mathematical and Statistical Aspects of Inverse Problems (6/13)
  22. Chapter 3: Mathematical and Statistical Aspects of Inverse Problems (7/13)
  23. Chapter 3: Mathematical and Statistical Aspects of Inverse Problems (8/13)
  24. Chapter 3: Mathematical and Statistical Aspects of Inverse Problems (9/13)
  25. Chapter 3: Mathematical and Statistical Aspects of Inverse Problems (10/13)
  26. Chapter 3: Mathematical and Statistical Aspects of Inverse Problems (11/13)
  27. Chapter 3: Mathematical and Statistical Aspects of Inverse Problems (12/13)
  28. Chapter 3: Mathematical and Statistical Aspects of Inverse Problems (13/13)
  29. Chapter 4: Model Selection Criteria (1/8)
  30. Chapter 4: Model Selection Criteria (2/8)
  31. Chapter 4: Model Selection Criteria (3/8)
  32. Chapter 4: Model Selection Criteria (4/8)
  33. Chapter 4: Model Selection Criteria (5/8)
  34. Chapter 4: Model Selection Criteria (6/8)
  35. Chapter 4: Model Selection Criteria (7/8)
  36. Chapter 4: Model Selection Criteria (8/8)
  37. Chapter 5: Estimation of Probability Measures Using Aggregate Population Data (1/8)
  38. Chapter 5: Estimation of Probability Measures Using Aggregate Population Data (2/8)
  39. Chapter 5: Estimation of Probability Measures Using Aggregate Population Data (3/8)
  40. Chapter 5: Estimation of Probability Measures Using Aggregate Population Data (4/8)
  41. Chapter 5: Estimation of Probability Measures Using Aggregate Population Data (5/8)
  42. Chapter 5: Estimation of Probability Measures Using Aggregate Population Data (6/8)
  43. Chapter 5: Estimation of Probability Measures Using Aggregate Population Data (7/8)
  44. Chapter 5: Estimation of Probability Measures Using Aggregate Population Data (8/8)
  45. Chapter 6: Optimal Design (1/3)
  46. Chapter 6: Optimal Design (2/3)
  47. Chapter 6: Optimal Design (3/3)
  48. Chapter 7: Propagation of Uncertainty in a Continuous Time Dynamical System (1/20)
  49. Chapter 7: Propagation of Uncertainty in a Continuous Time Dynamical System (2/20)
  50. Chapter 7: Propagation of Uncertainty in a Continuous Time Dynamical System (3/20)
  51. Chapter 7: Propagation of Uncertainty in a Continuous Time Dynamical System (4/20)
  52. Chapter 7: Propagation of Uncertainty in a Continuous Time Dynamical System (5/20)
  53. Chapter 7: Propagation of Uncertainty in a Continuous Time Dynamical System (6/20)
  54. Chapter 7: Propagation of Uncertainty in a Continuous Time Dynamical System (7/20)
  55. Chapter 7: Propagation of Uncertainty in a Continuous Time Dynamical System (8/20)
  56. Chapter 7: Propagation of Uncertainty in a Continuous Time Dynamical System (9/20)
  57. Chapter 7: Propagation of Uncertainty in a Continuous Time Dynamical System (10/20)
  58. Chapter 7: Propagation of Uncertainty in a Continuous Time Dynamical System (11/20)
  59. Chapter 7: Propagation of Uncertainty in a Continuous Time Dynamical System (12/20)
  60. Chapter 7: Propagation of Uncertainty in a Continuous Time Dynamical System (13/20)
  61. Chapter 7: Propagation of Uncertainty in a Continuous Time Dynamical System (14/20)
  62. Chapter 7: Propagation of Uncertainty in a Continuous Time Dynamical System (15/20)
  63. Chapter 7: Propagation of Uncertainty in a Continuous Time Dynamical System (16/20)
  64. Chapter 7: Propagation of Uncertainty in a Continuous Time Dynamical System (17/20)
  65. Chapter 7: Propagation of Uncertainty in a Continuous Time Dynamical System (18/20)
  66. Chapter 7: Propagation of Uncertainty in a Continuous Time Dynamical System (19/20)
  67. Chapter 7: Propagation of Uncertainty in a Continuous Time Dynamical System (20/20)
  68. Chapter 8: A Stochastic System and Its Corresponding Deterministic System (1/15)
  69. Chapter 8: A Stochastic System and Its Corresponding Deterministic System (2/15)
  70. Chapter 8: A Stochastic System and Its Corresponding Deterministic System (3/15)
  71. Chapter 8: A Stochastic System and Its Corresponding Deterministic System (4/15)
  72. Chapter 8: A Stochastic System and Its Corresponding Deterministic System (5/15)
  73. Chapter 8: A Stochastic System and Its Corresponding Deterministic System (6/15)
  74. Chapter 8: A Stochastic System and Its Corresponding Deterministic System (7/15)
  75. Chapter 8: A Stochastic System and Its Corresponding Deterministic System (8/15)
  76. Chapter 8: A Stochastic System and Its Corresponding Deterministic System (9/15)
  77. Chapter 8: A Stochastic System and Its Corresponding Deterministic System (10/15)
  78. Chapter 8: A Stochastic System and Its Corresponding Deterministic System (11/15)
  79. Chapter 8: A Stochastic System and Its Corresponding Deterministic System (12/15)
  80. Chapter 8: A Stochastic System and Its Corresponding Deterministic System (13/15)
  81. Chapter 8: A Stochastic System and Its Corresponding Deterministic System (14/15)
  82. Chapter 8: A Stochastic System and Its Corresponding Deterministic System (15/15)
  83. Frequently Used Notations and Abbreviations (1/2)
  84. Frequently Used Notations and Abbreviations (2/2)

Product information

  • Title: Modeling and Inverse Problems in the Presence of Uncertainty
  • Author(s): H. T. Banks, Shuhua Hu, W. Clayton Thompson
  • Release date: April 2014
  • Publisher(s): Chapman and Hall/CRC
  • ISBN: 9781482206432