Approximation of an Optimal BV -Control Problem in the Coefficient for the p(x)-Laplace Equation
We study a Dirichlet optimal control problem for a quasilinear monotone elliptic equation with the so-called weighted p(x)-Laplace operator. The coefficient of the p(x)-Laplacian, the weight u, we take as a control in BV (Ω) ∩ L∞(Ω).
Ismail Aydin, Peter Kogut
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Mathematical model predictions and optimization study of the gamma ray atmospheric density sensor [PDF]
Mathematical model predictions and optimization study of gamma ray atmospheric density ...
Gardner, R. P., Whitaker, D. R.
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Mathematical Methods of Optimization
最適化の三方法すなわち線形計画法 (linear programming, LP), 動的計画法 (dynamic programming, DP), 最大原理 (maximum principle, MP) の基本的原理について図解例と計算例をあげ解説する。
V. C. M. Yeh, R. S. Davis
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The Sizing and Optimization Language, (SOL): Computer language for design problems [PDF]
The Sizing and Optimization Language, (SOL), a new high level, special purpose computer language was developed to expedite application of numerical optimization to design problems and to make the process less error prone.
Lucas, Stephen H., Scotti, Stephen J.
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Stress tests on cylinders and aluminum panels [PDF]
An optimization study of composite stiffened cylinders is discussed. The mathematical model for the buckling has been coupled successfully with the optimization program AESOP.
Agarwal, B. L., Sobel, L. H.
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Mathematical Optimizations for Deep Learning
Deep neural networks are often computationally expensive, during both the training stage and inference stage. Training is always expensive, because back-propagation requires high-precision floating-point multiplication and addition. However, various mathematical optimizations may be employed to reduce the computational cost of inference.
Green, Sam +2 more
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The Sizing and Optimization Language (SOL): A computer language to improve the user/optimizer interface [PDF]
The nonlinear mathematical programming method (formal optimization) has had many applications in engineering design. A figure illustrates the use of optimization techniques in the design process. The design process begins with the design problem, such as
Lucas, S. H., Scotti, S. J.
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Efficient Robust Optimization of Metal Forming Processes using a Sequential Metamodel Based Strategy [PDF]
The coupling of Finite Element (FE) simulations to mathematical optimization techniques has contributed significantly to product improvements and cost reductions in the metal forming industries.
Boogaard, A.H. van den +2 more
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Green Micromobility-Based Last-Mile Logistics from Small-Scale Urban Food Producers
The growing demand for sustainable urban logistics highlights the need for innovative, low-emission delivery solutions, particularly in the context of small-scale urban food producers.
Ágota Bányai +2 more
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Credible Autocoding of Convex Optimization Algorithms [PDF]
The efficiency of modern optimization methods, coupled with increasing computational resources, has led to the possibility of real-time optimization algorithms acting in safety critical roles.
Feron, Eric +5 more
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