Results 1 to 10 of about 547,161 (285)
Scientific Reports, 2023 Multipole expansion is a powerful technique used in many-body physics to solve dynamical problems involving correlated interactions between constituent particles.
E. O. Jobunga +2 more
doaj +3 more sources
Low-Rank Approximations for Parametric Non-Symmetric Elliptic Problems
Frontiers in Physics, 2022 In this study, we obtained low-rank approximations for the solution of parametric non-symmetric elliptic partial differential equations. We proved the existence of optimal approximation subspaces that minimize the error between the solution and an ...
Tomás Chacón Rebollo +2 more
doaj +1 more source
Series Expansion and Fourth-Order Global Padé Approximation for a Rough Heston Solution
Mathematics, 2020 The rough Heston model has recently been shown to be extremely consistent with the observed empirical data in the financial market. However, the shortcoming of the model is that the conventional numerical method to compute option prices under it requires
Siow Woon Jeng, Adem Kilicman
doaj +1 more source
Computing the eigenvalues of fourth order Sturm-Liouville problems with Lie Group method [PDF]
Iranian Journal of Numerical Analysis and Optimization, 2017 In this paper, we formulate the fourth order Sturm-Liouville problem (FSLP) as a Lie group matrix differential equation. By solving this ma- trix differential equation by Lie group Magnus expansion, we compute the eigenvalues of the FSLP.
hanif mirzaei
doaj +1 more source
International Journal of Applied Mechanics and Engineering, 2021 In this study, the spectral perturbation method and the spectral relaxation method are used to solve the nonlinear differential equations of an unsteady nonlinear MHD flow in the presence of thermal radiation and heat generation.
T.M. Agbaje, P.G.L. Leach
doaj +1 more source
East European Journal of Physics, 2022 In this study, the Schrödinger equation with the Hulthén plus screened Kratzer potentials (HSKP) are solved via the Nikiforov-Uvarov (NU) and the series expansion methods.
Etido Inyang +4 more
doaj +1 more source
Karpatsʹkì Matematičnì Publìkacìï, 2021 The paper deals with the problem of approximation of functions of several variables by branched continued fractions. We study the correspondence between formal multiple power series and the so-called "multidimensional $S$-fraction with independent ...
R.I. Dmytryshyn, S.V. Sharyn
doaj +1 more source
Prediction of volcanic fractures based on prestack azimuthal anisotropy: A case study of LFS area in southern Songliao Basin [PDF]
Youqicang pingjia yu kaifaAnisotropic parameter inversion based on pre-stack azimuth gather seismic data is one of the primary methods for fracture prediction, among which two algorithms, RüGER approximate equation and Fourier series expansion, are more widely used.
LI Ning,MIAO He,CAO Kaifang
doaj +3 more sources
Vestnik Samarskogo Gosudarstvennogo Tehničeskogo Universiteta. Seriâ: Fiziko-Matematičeskie Nauki, 2014 Using the first three terms of Taylor expansion of the required function in the approximate derivative by finite differences leads to the second order approximation of the traditional numerical quadrature method of boundary value problems for linear ...
Vladimir N Maklakov
doaj +1 more source
Williams Expansion Terms and their Importance for Accurate Stress Field Description in Specimens with a Crack [PDF]
Transactions of the VŠB-Technical University of Ostrava, Mechanical Series, 2013 The paper deals with an analysis of the stress and displacement fields in various cracked specimens (loaded in mode I as well as in mode II). The main goal is to determine an accurate approximation of the near-crack-tip fields which can be subsequently
Lucie MALÍKOVÁ, Václav VESELÝ
doaj +1 more source