Results 41 to 50 of about 77,262 (190)
An improved multiquadric collocation method for 3-D electromagnetic problems [PDF]
, 2007 The multiquadric radial basis function method (MQ RBF or, simply, MQ) developed recently is a truly meshless collocation method with global basis functions.
Guo, Y +5 more
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Designing Illumination Lenses and Mirrors by the Numerical Solution of Monge-Amp\`ere Equations
, 2015 We consider the inverse refractor and the inverse reflector problem. The task is to design a free-form lens or a free-form mirror that, when illuminated by a point light source, produces a given illumination pattern on a target.
Brix, Kolja +2 more
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Efficient Entropy Stable Gauss Collocation Methods [PDF]
SIAM Journal on Scientific Computing, 2019 The construction of high order entropy stable collocation schemes on quadrilateral and hexahedral elements has relied on the use of Gauss-Legendre-Lobatto collocation points and their equivalence with summation-by-parts (SBP) finite difference operators.
Chan, Jesse +2 more
openaire +3 more sources
Engineering Transactions, 1983 The present work investigates the optimum choice of collocation points which gives for а given accuracy the minimum number of collocation points. А convergence study has been conducted for the axisymmetric nonlinear analysis of а shallow spherical shell ...
Y. Nath, P.C. Dumir, M.L. Gandhi
doaj
A rational spectral collocation method with adaptively transformed Chebyshev grid points [PDF]
, 2005 A spectral collocation method based on rational interpolants and adaptive grid points is presented. The rational interpolants approximate analytic functions with exponential accuracy by using prescribed barycentric weights and transformed Chebyshev ...
Tee, T. W., Trefethen, Lloyd N.
core
A local meshless method for the one-dimensional Fisher’s equation
Frontiers in PhysicsThis study presents a novel local meshless approach for solving one-dimensional Fisher’s equation, combining a local scheme, Gaussian radial basis functions (G-RBF), and a collocation technique. The method leverages the Gaussian basis’s nonlinear fitting
Jianjun Cao +3 more
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Alexandria Engineering Journal, 2018 The current work presents a computational scheme to solve weakly singular integral equations of the second kind. The discrete collocation method in addition to the moving least squares (MLS) technique established on scattered points is utilized to ...
Pouria Assari
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Engineering Transactions, 1965 The used collocation method consists in assuming the form of the deflected beam i.g. in assuming the distribution function of the slope ϕ =Aϕ. In addition to the constant A the collocation function has three free parameters which can to be determined ...
Z. Waszczyszyn
doaj
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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A Collocation Method for Mixed Volterra–Fredholm Integral Equations of the Hammerstein Type
Mathematics, 2022 This paper presents a collocation method for the approximate solution of two-dimensional mixed Volterra–Fredholm integral equations of the Hammerstein type.
Sanda Micula
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