Results 111 to 120 of about 453 (157)

Conditional sampling within generative diffusion models. [PDF]

open access: yesPhilos Trans A Math Phys Eng Sci
Zhao Z, Luo Z, Sjölund J, Schön T.
europepmc   +1 more source

Solution by quadratures of certain ordinary differential equations

International Journal of Mathematical Education in Science and Technology, 1984
This paper discusses methods that are applicable in the solution by quadratures of linear second‐order differential equations with variable coefficients. These same techniques, when applied to equations with constant coefficients, produce an extremely useful method in the teachingof ordinary differential equations.
exaly   +2 more sources

Solution of differential equations by quadratures: the Cauchy integral method

International Journal of Mathematical Education in Science and Technology, 1994
The Cauchy method for finding a particular solution to second‐order linear ODE with constant coefficients is derived within the ‘factorization’ approach to solving differential equations discussed recently by Powles. The Cauchy method reduces the problem of finding particular solutions to the inhomogeneous equation to the evaluation of an integral ...
exaly   +2 more sources

On the solution of the thomas-fermi equation by differential quadrature

Journal of Computational Physics, 1984
This paper presents a method of finding approximate solutions to the Thomas-Fermi equation \(d^ 2f/dx^ 2=f^{3/2}/x^{1/2}\) with \(f=1\) at \(x=0\) and \(f=0\) as \(x\to \infty\). The essential approximation used is that for any linear operator L \(L(f(x_ i))\simeq \sum^{N}_{j=1}W_{ij}f(x_ j),\) \(i=1,2,...,N\) where \(x_ i\) are sample points and \(W_ ...
Civan, Faruk, Sliepcevich, C. M.
openaire   +2 more sources

Solution of the Poisson equation by differential quadrature

International Journal for Numerical Methods in Engineering, 1983
AbstractThe method of differential quadrature is demonstrated by solving the two‐dimensional Poisson equation. The results for three test problems are compared with the exact analytical solutions and the numerical solutions obtained by others for the Galerkin, the control‐volume and the five‐point finite difference methods.
Civan, Faruk, Sliepcevich, C. M.
openaire   +2 more sources

A quadrature method for numerical solutions of fractional differential equations

Applied Mathematics and Computation, 2017
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Mujeeb ur Rehman   +2 more
openaire   +1 more source

The Quadrature Discretization Method (QDM) in the solution of the Schrödinger equation

Journal of Mathematical Chemistry, 1998
The main purpose of this paper is to consider the solutions of one-dimensional Schrödinger equation with the quadrature discretization method [cf. \textit{B. D. Shizgal} and \textit{H. Chen}, J. Chem. Phys. 104, 4137 (1996)]. The applications to four potential functions considered recently by several other researchers are presented. The eigenvalues and
Chen, Heli, Shizgal, Bernie D.
openaire   +2 more sources

Solution of poisson and laplace equations by quadrilateral quadrature element

International Journal of Solids and Structures, 1998
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Zhong, Hongzhi, He, Yuhong
openaire   +2 more sources

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