Results 301 to 310 of about 2,964,605 (375)
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MONTE CARLO METHODS FOR SOLVING MULTIVARIABLE PROBLEMS
Annals of the New York Academy of Sciences, 1960J. Hammersley
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International Journal for Numerical Methods in Engineering, 2023
Physics‐informed neural network (PINN) has been widely concerned for its higher computational accuracy compared with conventional neural network. The merit of PINN mainly comes from its ability to embed known physical laws or equations into data‐based ...
Zikun Luo, L. Wang, Mengkai Lu
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Physics‐informed neural network (PINN) has been widely concerned for its higher computational accuracy compared with conventional neural network. The merit of PINN mainly comes from its ability to embed known physical laws or equations into data‐based ...
Zikun Luo, L. Wang, Mengkai Lu
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International Journal for Numerical Methods in Engineering, 2022
This article presents a local knot method (LKM) to solve inverse Cauchy problems of Helmholtz equations in arbitrary 2D and 3D domains. The Moore–Penrose pseudoinverse using the truncated singular value decomposition is employed in the local ...
Fajie Wang, Zengtao Chen, Yanpeng Gong
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This article presents a local knot method (LKM) to solve inverse Cauchy problems of Helmholtz equations in arbitrary 2D and 3D domains. The Moore–Penrose pseudoinverse using the truncated singular value decomposition is employed in the local ...
Fajie Wang, Zengtao Chen, Yanpeng Gong
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A novel method for solving nonlinear stochastic mechanics problems using FETI‐DP
International Journal for Numerical Methods in Engineering, 2022Solution of large‐scale nonlinear stochastic mechanics problems such as plasticity is generally very expensive. In this work, a domain decomposition based scalable method is proposed for solving such problems.
Gopika Ajith, D. Ghosh
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Engineering applications of artificial intelligence, 2020
Nature-inspired optimization algorithms can solve different engineering and scientific problems owing to their easiness and flexibility. There is no need for structural modifications of optimization problems to apply meta-heuristic algorithms on them ...
Vahideh Hayyolalam, A. Kazem
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Nature-inspired optimization algorithms can solve different engineering and scientific problems owing to their easiness and flexibility. There is no need for structural modifications of optimization problems to apply meta-heuristic algorithms on them ...
Vahideh Hayyolalam, A. Kazem
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Methods for solving degenerate problems
USSR Computational Mathematics and Mathematical Physics, 1988The authors study the problem of solving a system of nonlinear equations with singular Jacobian, and a free extremal problem with singular Hessian matrix. An implicit function theorem and optimality conditions of high order in the degenerate cases are given. Using these results a numerical method is proposed.
Balash, K. N., Tret'yakov, A. A.
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A numerical method for solving minimax problems
USSR Computational Mathematics and Mathematical Physics, 1971Abstract A NUMERICAL method for solving minimax and maximin problems is described. The results of numerical computations are quoted.
Grachev, N. I., Evtushenko, Yu. G.
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A bundle method for solving equilibrium problems
Mathematical Programming, 2007Basing on the auxiliary problem principle, the authors study a boundle method for solving the nonsmooth convex equilibrium problem: finding \(x^* \in C\) such that \(f(x^*,y) \geq 0 \,\,{\text{for all}}\,\, y \in C\), and prove the convergence theorems for the general algorithm.
Nguyen, Thi Thu Van +2 more
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International journal for numerical and analytical methods in geomechanics (Print), 2020
This paper presents a semianalytical approach for solving first‐order perturbation (FOP) equations, which are used to describe dissolution‐timescale reactive infiltration instability (RII) problems in fluid‐saturated rocks. The proposed approach contains
Chong-bin Zhao, B. Hobbs, A. Ord
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This paper presents a semianalytical approach for solving first‐order perturbation (FOP) equations, which are used to describe dissolution‐timescale reactive infiltration instability (RII) problems in fluid‐saturated rocks. The proposed approach contains
Chong-bin Zhao, B. Hobbs, A. Ord
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A Method for Solving Transient Diffusion Problems
Numerical Heat Transfer, Part B: Fundamentals, 1986The solution of transient diffusion in a composite material consisting of several different materials involves solving the Sturm-Liouville problem with discontinuous coefficients. An efficient numerical method and algorithm are presented in this paper for finding eigenvalues, eigenfunctions, and the related coefficients.
Yi-Hsu Ju, Wen-Chien Lee
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