Results 41 to 50 of about 59,441 (292)
A Meshfree Collocation Scheme for Surface Differential Operators on Point Clouds
Journal of Scientific Computing, 2023 AbstractWe present a meshfree collocation scheme to discretize intrinsic surface differential operators over scalar fields on smooth curved surfaces with given normal vectors and a non-intersecting tubular neighborhood. The method is based on discretization-corrected particle strength exchange (DC-PSE), which generalizes finite difference methods to ...
Abhinav Singh +3 more
openaire +3 more sources
A numerical method for solving systems of higher order linear functional differential equations
Open Physics, 2016 Functional differential equations have importance in many areas of science such as mathematical physics. These systems are difficult to solve analytically.In this paper we consider the systems of linear functional differential equations [1-9] including ...
Yüzbasi Suayip +2 more
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Optimal Collocation Nodes for Fractional Derivative Operators [PDF]
, 2014 Spectral discretizations of fractional derivative operators are examined, where the approximation basis is related to the set of Jacobi polynomials. The pseudo-spectral method is implemented by assuming that the grid, used to represent the function to be
Fatone, Lorella, Funaro, Daniele
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The Conical Radial Basis Function for Partial Differential Equations
Journal of Mathematics, 2020 The performance of the parameter-free conical radial basis functions accompanied with the Chebyshev node generation is investigated for the solution of boundary value problems.
J. Zhang, F. Z. Wang, E. R. Hou
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Solving the Lane–Emden equation by using Bernstein operational matrix
Alexandria Engineering JournalLane–Emden equations model a wide range of problems in physics and astrophysics, with applications including stellar structure, radiative cooling, and the modeling of galaxy clusters.
Nurul Izzatie Najwa Kamarul Bahrim +1 more
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Mathematics, 2021 Two collocation-based methods utilizing the novel Bessel polynomials (with positive coefficients) are developed for solving the non-linear Troesch’s problem.
Mohammad Izadi +2 more
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Galerkin and Runge–Kutta methods: unified formulation, a posteriori error estimates and nodal superconvergence [PDF]
, 2011 . We unify the formulation and analysis of Galerkin and Runge–Kutta methods for the time discretization of parabolic equations. This, together with the concept of reconstruction of the approximate solutions, allows us to establish a posteriori ...
A. Lozinski +21 more
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Advanced Functional Materials, EarlyView.Solution‐processed OLEDs containing discotic liquid‐crystalline MR‐TADF emitters are reported. Supramolecular self‐assembly induces homeotropic columnar alignment, enforcing preferential horizontal orientation of the emitter transition dipole moment in spin‐coated films, which leads to an enhancement in the device light outcoupling efficiency while ...
Joydip De +6 more
wiley +1 more source
IG-LSPIA: Least Squares Progressive Iterative Approximation for Isogeometric Collocation Method
Mathematics, 2023 The isogeometric collocation method (IGA-C), which is a promising branch of isogeometric analysis (IGA), can be considered fitting the load function with the combination of the numerical solution and its derivatives.
Yini Jiang, Hongwei Lin
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The three-dimensional beam theory: Finite element formulation based on curvature [PDF]
, 2003 article introduces a new finite element formulation of the three-dimensional `geometrically exact finite-strain beam theory'. The formulation employs the generalized virtual work principle with the pseudo-curvature vector as the only unknown function ...
Saje, Miran, Zupan, Dejan
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