| Han Guijun,He Bairong,Ma Jirui,Li Dong. 2000. A study on theory of second-order adjoint model. Acta Oceanologica Sinica, (2):1－6 |
| A study on theory of second-order adjoint model |
| A study on theory of second-order adjoint model |
| Received:January 08, 1999 Revised:March 20, 1999 |
| DOI： |
| Key words:Hessian matrix SOA model shallow water equations model |
| 中文关键词: Hessian matrix SOA model shallow water equations model |
| 基金项目:This study was jointly supported by the National Natural Science Foundation of China under contract No.49876001 and the grant of '95 National Scientific and Technological Project under contract No.C95-04-05:The Research of Modern Crustal Movement and Geodynamics. |
| Author Name | Affiliation | | Han Guijun | National Marine Data and Information Service, State Oceanic Administration, Tianjin 300171, China | | He Bairong | College of Mathematical Science, Nankai University, Tianjin 300071, China | | Ma Jirui | National Marine Data and Information Service, State Oceanic Administration, Tianjin 300171, China | | Li Dong | National Marine Data and Information Service, State Oceanic Administration, Tianjin 300171, China |
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| Abstract: |
| The Hessian matrix,which is formed by the second-order partial derivatives of the cost function with respect to control variables,plays an important role in the procedure of variational data assimilation(VDA),sensitivity analysis,etc.,and it can be obtained by establishing the first-order adjoint(FOA) and the second-order adjoint(SOA) models for direct model.The derivations of the FOA and SOA models of shallow water equations model are given in detail,which is based upon the Crateaux differential of funcFional and the concepts of the adjoint operators in Hilbert space.The result for SOA model of the shallow water equations model is obtained,which improves the theory established in the paper of Wang et al.(1992). |
| 中文摘要: |
| The Hessian matrix,which is formed by the second-order partial derivatives of the cost function with respect to control variables,plays an important role in the procedure of variational data assimilation(VDA),sensitivity analysis,etc.,and it can be obtained by establishing the first-order adjoint(FOA) and the second-order adjoint(SOA) models for direct model.The derivations of the FOA and SOA models of shallow water equations model are given in detail,which is based upon the Crateaux differential of funcFional and the concepts of the adjoint operators in Hilbert space.The result for SOA model of the shallow water equations model is obtained,which improves the theory established in the paper of Wang et al.(1992). |
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