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A study of mathematical programmingmethods for structural optimization. Part II: Numerical results
International Journal for Numerical Methods in Engineering, 1985AbstractVarious mathematical programming methods for structural optimization are studied. In a companion paper, these methods have been studied based on certain theoretical considerations. In this paper, the methods are studied based on solving a set of test problems.
Belegundu, Ashok D., Arora, Jasbir S.
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Numerical methods of nonlinear optimal control based on mathematical programming
Nonlinear Analysis: Theory, Methods & Applications, 1997In the first half of this paper, we study a primal-dual interior-point algorithm for convex quadratic programming problems in Hilbert space with the object of direct application to continuous-time LQ optimal control problems. Since our problems are infinite-dimensional, it is impossible in general to solve exactly the linear equations for finding a ...
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Some Advances in Mathematical Programming Method for Numerical Simulation of Contact Problems
2007This paper reviews some advances and applications in mathematical programming method for numerical modeling of elastic-plastic contact problems. Emphases are on the parametric variational principle and quadratic programming method used for analysis of elastic-plastic contact problems with isotropic/orthotropic friction law.
H. W. Zhang +4 more
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Journal of Global Optimization, 1998
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Mathematical Programs with Equilibrium Constraints: Theory and Numerical Methods
2007The lecture notes deal with optimization problems, where a generalized equation (modeling an equilibrium) arises among the constraints. The main attention is paid to necessary optimality conditions and methods to the numerical solution of such problems. The applications come from continuum mechanics.
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Mathematical research — numerical methods of nonlinear programming and their implementations
European Journal of Operational Research, 1993openaire +1 more source
ChatGPT FOR PROGRAMMING NUMERICAL METHODS
Journal of Machine Learning for Modeling and Computing, 2023Ali Kashefi
exaly

