We study the numerical solution of Helmholtz equation with Dirichlet boundary condition. Based on the potential theory, the problem can be converted into a boundary integral equation.
Hu Li, Yanying Ma
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An Efficient Quadrature Rule for Highly Oscillatory Integrals with Airy Function
In this work, our primary focus is on the numerical computation of highly oscillatory integrals involving the Airy function. Specifically, we address integrals of the form ∫0bxαf(x)Ai(−ωx)dx over a finite or semi-infinite interval, where the integrand ...
Guidong Liu, Zhenhua Xu, Bin Li
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This paper presents a computationally efficient and an accurate methodology in differential quadrature element method (EDQM) analysis of the nonlinear one-dimensional Burgers’ equation.
M Vaghefi +3 more
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Information Theory and Quadrature Rules
Quadrature rules estimate the value of an integral when the function is given by a table of values. Every binary string defines a quadrature rule by choosing which endpoint of each interval represents the interval. The standard rules, such as Simpson's Rule, correspond to strings of low Kolmogorov complexity, making it possible to define new quadrature
openaire +2 more sources
Vem++, a C++ library to handle and play with the virtual element method. [PDF]
Dassi F.
europepmc +2 more sources
Implicit quiescent soliton perturbation in optical metamaterials with complex Ginzburg-Landau equation having nonlinear chromatic dispersion and Kudryashov's forms of self-phase modulation structures by lie symmetry. [PDF]
Adem AR +5 more
europepmc +1 more source
A numerical approach to fractional Volterra-Fredholm integro-differential problems using shifted Chebyshev spectral collocation. [PDF]
Hamood MM, Sharif AA, Ghadle KP.
europepmc +1 more source
Hybrid Fennec Fox-Sand Cat optimized cascaded ANFIS MPPT for enhanced control of DFIG-based WECS with grid support. [PDF]
Rajanala P +7 more
europepmc +1 more source
Immersed isogeometric analysis with boundary conformal quadrature for finite deformation elasticity. [PDF]
Elbadry YT, Antolín P, Weeger O.
europepmc +1 more source
Efficient and accurate numerical-projection of electromagnetic multipoles for scattering objects. [PDF]
Guo W, Cai Z, Xiong Z, Chen W, Chen Y.
europepmc +1 more source

