Results 11 to 20 of about 35,806,847 (310)
The Deep Ritz Method: A Deep Learning-Based Numerical Algorithm for Solving Variational Problems [PDF]
Communications in Mathematics and Statistics, 2017 We propose a deep learning-based method, the Deep Ritz Method, for numerically solving variational problems, particularly the ones that arise from partial differential equations. The Deep Ritz Method is naturally nonlinear, naturally adaptive and has the
E. Weinan, Ting Yu
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Journal of Inequalities and Applications, 2021 For the purpose of this article, we introduce a modified form of a generalized system of variational inclusions, called the generalized system of modified variational inclusion problems (GSMVIP).
Araya Kheawborisut, Atid Kangtunyakarn
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Axioms, 2022 In this paper, the integrable (2+1)-dimensional Maccari system (MS), which can model many complex phenomena in hydrodynamics, plasma physics and nonlinear optics, is investigated by the variational approach (VA).
Kang-Jia Wang, Jing Si
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Mathematics, 2021 In this article, modified techniques, namely the variational iteration transform and Shehu decomposition method, are implemented to achieve an approximate analytical solution for the time-fractional Fornberg–Whitham equation. A comparison is made between
Nehad Ali Shah +4 more
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, 2015 This contribution presents derivative-based methods for local sensitivity analysis, called Variational Sensitivity Analysis (VSA). If one defines an output called the response function, its sensitivity to inputs variations around a nominal value can be studied using derivative (gradient) information.
Nodet, Maelle, Vidard, Arthur
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Accurate many-body electronic structure near the basis set limit: Application to the chromium dimer [PDF]
, 2020 We describe a method for computing near-exact energies for correlated systems with large Hilbert spaces. The method efficiently identifies the most important basis states (Slater determinants) and performs a variational calculation in the subspace ...
Holmes, Adam A. +6 more
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Variational Quantum Monte Carlo Method with a Neural-Network Ansatz for Open Quantum Systems. [PDF]
Physical Review Letters, 2019 The possibility to simulate the properties of many-body open quantum systems with a large number of degrees of freedom (d.o.f.) is the premise to the solution of several outstanding problems in quantum science and quantum information. The challenge posed
A. Nagy, V. Savona
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Inexact Model: A Framework for Optimization and Variational Inequalities [PDF]
, 2020 In this paper we propose a general algorithmic framework for first-order methods in optimization in a broad sense, including minimization problems, saddle-point problems and variational inequalities.
Agafonov, Artem +8 more
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Variational approach for resolving the flow of generalized Newtonian fluids in circular pipes and plane slits [PDF]
, 2015 In this paper, we use a generic and general variational method to obtain solutions to the flow of generalized Newtonian fluids through circular pipes and plane slits.
Sochi, Taha
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Crystalline variational methods [PDF]
Proceedings of the National Academy of Sciences, 2002 A surface free energy function is defined to be crystalline if its Wulff shape (the equilibrium crystal shape) is a polyhedron. All the questions that one considers for the area functional, where the surface free energy per unit area is 1 for all normal directions, can be considered for crystalline surface free energies.
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