Results 31 to 40 of about 292,354 (329)

Variational Methods for Atoms and the Virial Theorem

Atoms, 2022
In the case of the one-electron Dirac equation with a point nucleus, the virial theorem (VT) states that the ratio of the kinetic energy to potential energy is exactly −1, a ratio that can be an independent test of the accuracy of a computed solution ...
Charlotte Froese Fischer, Michel Godefroid   +1 more
doaj   +1 more source

Variational integrators, the Newmark scheme, and dissipative systems [PDF]

, 1999
Variational methods are a class of symplectic-momentum integrators for ODEs. Using these schemes, it is shown that the classical Newmark algorithm is structure preserving in a non-obvious way, thus explaining the observed numerical behavior ...
Kane, C., Marsden, J. E., Ortiz, M., West, M.   +3 more
core   +2 more sources

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.
openaire   +3 more sources

Off-The-Grid Variational Sparse Spike Recovery: Methods and Algorithms

Journal of Imaging, 2021
Gridless sparse spike reconstruction is a rather new research field with significant results for the super-resolution problem, where we want to retrieve fine-scale details from a noisy and filtered acquisition.
Bastien Laville, Laure Blanc-Féraud, Gilles Aubert   +2 more
doaj   +1 more source

Benchmark Test Calculation of a Four-Nucleon Bound State [PDF]

, 2001
In the past, several efficient methods have been developed to solve the Schroedinger equation for four-nucleon bound states accurately. These are the Faddeev-Yakubovsky, the coupled-rearrangement-channel Gaussian-basis variational, the stochastic ...
A. Kievsky, A. Kievsky, A. Kievsky, A. Kievsky, A. Kievsky, A. Kievsky, A. Nogga, A. Nogga, A. Nogga, A. Novoselsky, A. Novoselsky, A. Stadler, A.R. Picklesimer, A.S. Jensen, B. R. Barrett, B.S. Pudliner, C.R. Chen, C.R. Chen, Ch. Elster, E. Hiyama, E. Hiyama, E. Hiyama, E. Hiyama, G. Orlandini, H. Kamada, H. Kamada, H. Kameyama, I. Fachruddin, J. Avery, J. Carlson, J. Carlson, J. Carlson, J. Usukura, J. Usukura, J.L. Friar, J.L. Friar, J.L. Friar, K. Suzuki, K. Varga, K. Varga, K. Varga, M. Fabre de la Ripelle, M. Kamimura, M. Kamimura, M. Kamimura, M. Viviani, M. Viviani, M. Viviani, N. Barnea, N. Barnea, N. Barnea, N. Barnea, N. Barnea, O. Yakubovsky, P. Navrátil, P. Navrátil, P. Navrátil, P. Navrátil, P. Navrátil, P. Navrátil, P.U. Sauer, R. B. Wiringa, R. Krivec, R. Machleidt, R.B. Wiringa, R.B. Wiringa, S. Rosati, Steven C. Pieper, T. Sasakawa, V.D. Efros, V.D. Efros, V.D. Efros, V.G.J. Stoks, W. Glöckle, W. Glöckle, W. Glöckle, W. Glöckle, W. Leidemann, W. Schadow, Y. Kino, Y. Kino, Y. Koike, Y. Suzuki, Y. Suzuki   +83 more
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Some Aspects of Extended General Variational Inequalities

Abstract and Applied Analysis, 2012
Noor (“Extended general variational inequalities,” 2009, “Auxiliary principle technique for extended general variational inequalities,” 2008, “Sensitivity analysis of extended general variational inequalities,” 2009, “Projection iterative methods for ...
Muhammad Aslam Noor
doaj   +1 more source

Extended Extragradient Methods for Generalized Variational Inequalities

Journal of Applied Mathematics, 2012
We suggest a modified extragradient method for solving the generalized variational inequalities in a Banach space. We prove some strong convergence results under some mild conditions on parameters. Some special cases are also discussed.
Yonghong Yao, Yeong-Cheng Liou, Cun-Lin Li, Hui-To Lin   +3 more
doaj   +1 more source

Variational Methods for Biomolecular Modeling

, 2016
Structure, function and dynamics of many biomolecular systems can be characterized by the energetic variational principle and the corresponding systems of partial differential equations (PDEs).
A Ivankin, A Jaramillo, A Warshel, AB Camley, B Lee, B Li, B Li, B Li, B Lu, B Lu, B Wang, BJ Reynwar, BR Brooks, C Mim, D Marsh, D Spoel Van Der, DG Thomas, DL Parton, E Gallicchio, E Gallicchio, EA Evans, F Campelo, FH Stillinger, FM Richards, FS Cohen, G Archontis, G-W Wei, G-W Wei, G-W Wei, GP Leser, GW Wei, HT McMahon, HY Lin, I Massova, I Park, IR Cooke, J Dzubiella, J Faraudo, J Gumbart, J Strain, J Wagoner, J Zimmerberg, JA Grant, JA Grant, JA Grant, JA Wagoner, JC Phillips, JC Stachowiak, JD Madura, JE Rothman, JMJ Swanson, K Farsad, K Lum, K Simons, KA Sharp, KM Callenberg, KS Kim, L-T Gao, LJ Pike, M Daily, M Feig, MD Huang, ME Davis, N Choudhury, N Gavish, NA Baker, NW Schmidt, O Sten-Knudsen, P Concus, P Grochowski, PB Canham, PW Bates, PW Bates, Q Du, Q Du, Q Du, Q Zheng, Q Zheng, R Brewster, R Brewster, R Parthasarathy, RA Pierotti, RE Skyner, RJ Ryham, S Choe, S Dai, S Li, S Osher, S Xu, S Zhao, S Zhao, SC Brenner, T Baumgart, T Kirchhausen, T Simonson, T Sollner, T Takahashi, T Witkowski, T-L Horng, V Luzhkov, VB Chu, W Geng, X Chen, X Chen, Y Tang, Y Wang, Y Wang, Y Wang, Y Zhao, YC Zhou, YC Zhou, Z Chen, Z Chen, Z Chen, ZY Yu   +114 more
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Variational Approach in Wavelet Framework to Polynomial Approximations of Nonlinear Accelerator Problems [PDF]

, 1998
In this paper we present applications of methods from wavelet analysis to polynomial approximations for a number of accelerator physics problems. According to variational approach in the general case we have the solution as a multiresolution (multiscales)
Fedorova, Antonina N., Parsa, Zohreh, Zeitlin, Michael G.   +2 more
core   +4 more sources

Regularization and Iterative Methods for Monotone Variational Inequalities

Fixed Point Theory and Applications, 2010
We provide a general regularization method for monotone variational inequalities, where the regularizer is a Lipschitz continuous and strongly monotone operator. We also introduce an iterative method as discretization of the regularization method.
Xu Hong-Kun, Xu Xiubin
doaj   +2 more sources