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SOLUTION OF NONLINEAR SYSTEMS [PDF]
Annals of the New York Academy of Sciences, 1960 The problem of solving systems of nonlinear equations has been relatively neglected in the mathematical literature, especially in the textbooks, in comparison to the corresponding linear problem. Moreover, treatments that have an appearance of generality fail to discuss the nature of the solutions and the possible pitfalls of the methods suggested ...
L. R. Turner
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ON THE CONTROLLABILITY OF A NONLINEAR SYSTEM [PDF]
Proceedings of the National Academy of Sciences, 1966 A. V. Balakrishnan
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IEEE Access, 2022 We use the fully discrete interpolation coefficient mixed finite element methods to solve the semi-linear parabolic optimal control problems. The space discretization of the state variable is separated using interpolation coefficient mixed finite ...
Jing Wang +3 more
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Evolution of water resource allocation in the river basin between administrators and managers
Hydrology Research, 2022 The reasonable allocation of water resources runs through the main links of regional water resource planning and management, which is a complex decision-making issue, ensures the sustainable development and utilization of water resources, and makes a ...
Zuliang Lu +5 more
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AIMS Mathematics, 2022 This paper investigates the adaptive finite element method for nonlinear optimal control problem, and the research content of reference ([21] H. Leng and Y. Chen, 2017) is extended accordingly.
Zuliang Lu +3 more
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AIMS Mathematics, 2021 This paper investigates the adaptive finite element method for an optimal control problem governed by a bilinear elliptic equation. We establish the finite element discrete scheme for the bilinear optimal control problem and use a dual argument ...
Zuliang Lu +5 more
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AIMS Mathematics, 2021 This paper discusses some a priori error estimates of bilinear elliptic optimal control problems based on the finite volume element approximation. A case-based numerical example serves to discuss with optimal $ L^2 $-norm error estimates and $ L^{\infty}
Zuliang Lu +5 more
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Balancing for unstable nonlinear systems [PDF]
, 1993 A previously obtained method of balancing for stable nonlinear systems is extended to unstable nonlinear systems. The similarity invariants obtained by the concept of LQG balancing for an unstable linear system can also be obtained by considering a past ...
Scherpen, J.M.A.
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A differential game analysis of multi-regional coalition for transboundary pollution problems
Ecological Indicators, 2022 Basin water pollution control problem has become a real and serious challenge to build an environment-friendly and resource-conserving society. Since the water environment is quasi-public property, regional cooperation across upstream and downstream ...
Zuliang Lu +5 more
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