| C. H. Bischof and A. Griewank, ADIFOR: A Fortran system for portable automatic differentiation, A Collection of Technical Papers, 4th AIAA/USAF/NASA/OAI Symposium on Multidisciplinary Analysis and Optimization, AIAA, Sept. 1992, pp. 433--441 (AIAA 92--4744--CP). |
....is demonstrated. References [4] and [5] are recent summaries of the studies of this work; the combination of AD and IIM to efficiently obtain consistent discrete SD s from a two dimensional (2 D) thin layer Navier Stokes code is demonstrated in [6] The AD tool ADIFOR (AD of Fortran) of [7] and [8] has been used throughout this work. Symbols and acronyms are defined as introduced in the text. The equations summarized in this paragraph can be found in greater detail in [1] 6] The conservation laws of compressible fluid flow, R, and aerodynamic functions, F , of interest can be expressed ....
....extensive use was made of solution restart files; these inner loops are not shown in Fig. 2. The shape design loop starts at the upper left with the automated surface shaping and volume grid generation codes, which are discussed in [14] and [15] These codes are differentiated with ADIFOR ( 7] and [8]) to provide the grid SD s (X ) with respect to approximately 100 (wing) geometric design variables, as discussed in the appendix of [12] Both the grid (X) and its SD s (X ) are required because the geometric (shape) design variables determine the vehicle surface and its body fitted ....
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C. H. Bischof and A. Griewank, ADIFOR: A Fortran system for portable automatic differentiation, A Collection of Technical Papers, 4th AIAA/USAF/NASA/OAI Symposium on Multidisciplinary Analysis and Optimization, AIAA, Sept. 1992, pp. 433--441 (AIAA 92--4744--CP).
....the application of these canonical formulas to optimal control processes being integrated by the Runge Kutta family of numerical methods. There are many papers concerning numerical comparisions between automatic differentiation, finite differences and symbolic differentiation. See, for example, [1, 2, 6, 7, 21] among others. Another objective is to test the behavior of the spectral projected gradient methods introduced in [5] These methods combine the classical projected gradient with two recently developed ingredients in optimization: i) the nonmonotone line search schemes of Grippo, Lampariello and ....
C. H. Bischof and A. Griewank, ADIFOR: A Fortran system for portable automatic differentiation, Preprint MCS-P317-0792 (Mathematics and Computer Science Division, Argonne National Laboratory, Argonne, Illinois, 1992).
....in this volume. Finally we have said little about automatic differentiation or special architectures. The former still do not seem to have had as much impact in optimization as one might have hoped. Besides the chapter in this volume (Dixon, 1994) we refer the reader to Bischof et al. 1991) Bischof and Griewank (1992), Dixon et al. 1988) Griewank (1989) Griewank and Corliss (1991) and Griewank et al. 1993) For the latter the reader is referred to the chapter of Schnabel in this volume (Schnabel, 1994) and Zenios (1989) 7 In conclusion We hope we have convinced some of you that it is possible to solve ....
C. Bischof and A. O. Griewank. ADIFOR: A FORTRAN system for portable automatic differentiation. Technical Report MCS-P317-0792, Argonne National Laboratory, Argonne, USA, 1992.
....simple rules. Alternately, generic routines can be used at runtime to interpret the internal representation, and thus obtain numerical values of the function or derivatives in any desired data format. Other packages have dealt with differentiation of Fortran programs. For instance, ADIFOR [2] and [1] written in Fortran 77, is the result of an ambitious project to differentiate Fortran 77 programs. That package is much more sophisticated than this one, but is for the most part built on slightly different principles. The commercial package and associated language AMPL [5] also ....
Bischof, C. and Griewank, A., ADIFOR: A Fortran System for Portable Automatic Differentiation, technical report no. MCS-P317-0792, 1992.
....then the Jacobian of the PDE operators is necessary. PDESpec automatically generates the Jacobian in any desired representation by using the symbolic 73 differentiation capabilities of MACSYMA. In some cases, when user defined functions are part of the PDE operator, automatic differentiation [BG92] is needed as well. Once PDESpec has completed the manipulation of the program, it uses an automatic code generation tool to generate code from the symbolic representation it has of the program [WW92] 3.11 Examples 3.11.1 Steady State Heat Flow in a Reactor Consider a reactor with a steel dome ....
C. Bischoff and A. Griewank. ADIFOR: A FORTRAN system for portable automatic differentiation. Technical Report MCS--P317--0792, Mathematics and Computer Science Division, Argonne National Laboratory, 1992.
....with the working accuracy of the original function evaluation. In contrast to fully symbolic differentiation, both operations count and storage requirement can be a priori bounded in terms of the complexity of the original function code. The ADIFOR (Automatic Differentiation in Fortran) tool [2, 5, 4] provides automatic differentiation of programs written in Fortran 77. Given a Fortran subroutine (or collection of subroutines) describing a function, and an indication of which variables in parameter lists or common blocks correspond to independent and dependent variables with respect to ....
C. Bischof and A. Griewank, ADIFOR: A Fortran system for portable automatic differentiation, in Proceedings of the 4th Symposium on Multidisciplinary Analysis and Optimization, AIAA Paper 92-4744, American Institute of Aeronautics and Astronautics, 1992, pp. 433--441.
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C.H. Bischof and A. Griewank, "ADIFOR: A Fortran System for Portable Automatic Differentiation," in Fourth AIAA/USAF/NASA/OAI Symposium on Multidisciplinary Optimization, Cleveland, Ohio, AIAA 92-- 4744--CP, pp. 433--441, Sept. 1992.
....of the complexity of the model. This paper discusses and documents the initial application of an AD system to advanced CFD codes in order to obtain SD typical of those required in an MDO. The general ideas and direction of this work, including a sample result, have been outlined in [56] and [18]. As will be seen, the initial results given here are both significant and encouraging; but challenges remain. The organization of this paper is as follows: first, brief reviews of advanced CFD codes with SD calculations and AD of Fortran codes (ADIFOR) then, discussion of the application of ....
....application of higher order optimization methods in MDO. For a recent review of AD techniques and tools in the context of engineering design see [11] An introduction to the Fortran tool ADIFOR and some preliminary numerical results on a 2 D small disturbance model of transonic flow are given in [18]. 4.1 An Advanced FORTRAN Tool ADIFOR (Automatic Differentiation of Fortran) 15, 19, 16, 14] provides automatic differentiation for programs written in Fortran 77. Given a Fortran subroutine (or collection of subroutines) describing a function, and an indication of which variables in parameter ....
C. H. Bischof and A. Griewank. ADIFOR: A Fortran system for portable automatic differentiation. In Fourth AIAA/USAF/NASA/OAI Symposium on Multidisciplinary Analysis and Optimization, A Collection of Technical Papers, Cleveland, OH, pages 433--441. AIAA 92--4744--CP, Sept. 1992.
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Bischof, C., and Griewank, A., "ADIFOR: A Fortran System for Portable Automatic Differentiation," Proceedings, Fourth AIAA/USAF/NASA/OAI Symposium on Multidisciplinary Analysis and Optimization, Cleveland, Sept. 1992, pp. 433-441; also AIAA Paper 92-4744 CP. 11 American Institute of Aeronautics and Astronautics 11
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Bischof, C., and Griewank, A., "ADIFOR: A Fortran System for Portable Automatic Differentiation," Proceedings, Fourth AIAA/USAF/NASA/OAI Symposium on Multidisciplinary Analysis and Optimization, Cleveland, Sept. 1992, pp. 433-441; also AIAA Paper 92-4744 CP.
No context found.
Bischof., C. H., and Griewank, A., "ADIFOR, A Fortran System for Portable Automatic Differentiation," Fourth AIAA/USAF/NASA/OAI Symposium on Multidisciplinary Analysis and Optimization, AIAA94 -4282-CP, Cleveland, OH, Sept. 1992, pp. 433--441.
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