Results 31 to 40 of about 682,039 (286)
Deep FDM: Enhanced finite difference methods by deep learning
Franklin Open, 2023 In this work, we propose a new idea to improve numerical methods for solving partial differential equations (PDEs) through a deep learning approach.
Tatiana Kossaczká +2 more
doaj +1 more source
A Two-Dimensional MagnetoHydrodynamics Scheme for General Unstructured Grids [PDF]
, 2007 We report a new finite-difference scheme for two-dimensional magnetohydrodynamics (MHD) simulations, with and without rotation, in unstructured grids with quadrilateral cells.
Adam Burrows +6 more
core +3 more sources
Finite Difference Schemes for Differential Equations [PDF]
Mathematics of Computation, 1964 (1) ~~~~~L = d p(x) d + q(x) and the related variational problem for the functional b ~~~~~~~~~~b (2) Q(u) = ] (pu'2 + qu') dx - 2 fu dx viz., min Q(u) uE Q where the class Q consists of smooth functions u(x) satisfying u(a) = u(b) = 0. Following Ritz, the solution of the variational problem may be discussed within the framework of the direct methods ...
openaire +2 more sources
MATEC Web of Conferences, 2017 Modification of the Lagrange interpolating polynomial (LIP) scheme for using with the finite difference method is proposed. Merits of the modified LIP scheme used with the finite difference method for problem solving are facile to discretize equations ...
Prasopchingchana Uthai
doaj +1 more source
Scalar Wave Equation Modeling with Time-Space Domain Dispersion-Relation-Based Staggered-Grid Finite-Difference Schemes [PDF]
, 2011 The staggered-grid finite-difference (SFD) method is widely used in numerical modeling of wave equations. Conventional SFD stencils for spatial derivatives are usually designed in the space domain.
Liu, Yang, Sen, Mrinal K.
core +2 more sources
A novel explicit finite difference scheme for partial differential equations
Mathematical Modelling and Analysis, 1999 Most explicit finite difference schemes have very stringent stability criterion. In 1982, Charlie Dey [1] developed a novel method and solved several partial differential equations representing models of fluid flow.
S. K. Dey
doaj +1 more source
, 2014 In this paper, we propose the parametrized maximum principle preserving (MPP) flux limiter, originally developed in [Z. Xu, Math. Comp., (2013), in press], to the semi- Lagrangian finite difference weighted essentially non-oscillatory scheme for solving ...
Christlieb, Andrew +3 more
core +1 more source
The newfound relationship between extrachromosomal DNAs and excised signal circles
FEBS Letters, EarlyView.Extrachromosomal DNAs (ecDNAs) contribute to the progression of many human cancers. In addition, circular DNA by‐products of V(D)J recombination, excised signal circles (ESCs), have roles in cancer progression but have largely been overlooked. In this Review, we explore the roles of ecDNAs and ESCs in cancer development, and highlight why these ...
Dylan Casey, Zeqian Gao, Joan Boyes
wiley +1 more source
A robust method of lines solution for singularly perturbed delay parabolic problem
Alexandria Engineering Journal, 2020 A numerical method is proposed to solve a non-autonomous singularly perturbed parabolic differential equation with a time delay. The solution is obtained by a step by step discretisation process. First the spatial derivatives are discretised via a fitted
Nana Adjoah Mbroh +2 more
doaj +1 more source
Optical Waveguide Modelling Based On Scalar Finite Difference Scheme [PDF]
, 2005 A Numerical Method Based On Scalar Finite Difference Scheme Was Adopted And Programmed On MATLAB® Platform For Optical Waveguide Modeling Purpose. Comparisons With Other Established Methods In Terms Of Normalized Propagation Constant Were Included To ...
Ibrahim, Mohd. Haniff +2 more
core