책 이미지

책 정보
· 분류 : 외국도서 > 과학/수학/생태 > 수학 > 응용수학
· ISBN : 9783540284031
· 쪽수 : 370쪽
· 출판일 : 2005-12-14
목차
Perspectives on Automatic Differentiation: Past, Present, and Future?.- Backwards Differentiation in AD and Neural Nets: Past Links and New Opportunities.- Solutions of ODEs with Removable Singularities.- Automatic Propagation of Uncertainties.- High-Order Representation of Poincaree Maps.- Computation of Matrix Permanent with Automatic Differentiation.- Computing Sparse Jacobian Matrices Optimally.- Application of AD-based Quasi-Newton Methods to Stiff ODEs.- Reduction of Storage Requirement by Checkpointing for Time-Dependent Optimal Control Problems in ODEs.- Improving the Performance of the Vertex Elimination Algorithm for Derivative Calculation.- Flattening Basic Blocks.- The Adjoint Data-Flow Analyses: Formalization, Properties, and Applications.- Semiautomatic Differentiation for Efficient Gradient Computations.- Computing Adjoints with the NAGWare Fortran 95 Compiler.- Transforming Equation-Based Models in Process Engineering.- Extension of TAPENADE toward Fortran 95.- A Macro Language for Derivative Definition in ADiMat.- Simulation and Optimization of the Tevatron Accelerator.- Periodic Orbits of Hybrid Systems and Parameter Estimation via AD.- Implementation of Automatic Differentiation Tools for Multicriteria IMRT Optimization.- Application of Targeted Automatic Differentiation to Large-Scale Dynamic Optimization.- Automatic Differentiation: A Tool for Variational Data Assimilation and Adjoint Sensitivity Analysis for Flood Modeling.- Development of an Adjoint for a Complex Atmospheric Model, the ARPS, using TAF.- Tangent Linear and Adjoint Versions of NASA/GMAO's Fortran 90 Global Weather Forecast Model.- Efficient Sensitivities for the Spin-Up Phase.- Streamlined Circuit Device Model Development with fREEDAR® and ADOL-C.- Adjoint Differentiation of a Structural Dynamics Solver.- A Bibliography of Automatic Differentiation.