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An optimization method of adjoint assimilation based on the cumulative gradient: An application for correction of the bottom friction coefficient in the tidal wave model 1 Introduction 1 Methods 2 The update direction 3 The update stride 3 Numerical model 4 Forward model 4 Adjoint model 4 Model configuration 5 Experiments 6 Experiment setup and results 6 Effectiveness analysis of the method 8 Discussions 8 The simulation effect in areas without assimilation data 8 Comparison of the optimization effect for different methods 9 Summary 11 CRediT authorship contribution statement 13 Declaration of Competing Interest 13 Data availability 13 Acknowledgments 13 References 13
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