Advanced Algorithmic Differentiation

Contents

• Essential Basics of Algorithmic Differentiation (AD)
• Derivative Code Generation Rules
  • Tangent Code Generation Rules
  • Adjoint Code Generation Rules
• Derivative Code Compiler
  • Compiler Front-End
  • Syntax-Directed Compilation of Tangent and Adjoint Code
  • AD-specific Data-Flow Analysis
• Elemental Functions Revisited
  • BLAS and Linear Solvers
  • Nonlinear Solvers
• AD Mission Planning
  • Generalized Jacobian Chaining
  • Elimination Techniques
• Data Flow Reversal for Adjoint AD
  
  • Computational Complexity of DAG and Call Tree Reversal
  • Call Tree Reversal and Heuristics
  • Optimal Reversal of Evolutions