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Convergence of a collocation scheme for a retarded potential integral equation [PDF]
, 2003 Time domain boundary integral formulations of transient scattering problems involve retarded potential integral equations (RPIEs). Solving such equations numerically is both complicated and computationally intensive, and numerical methods often prove to ...
Duncan, D.B.
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IEEE Journal of Selected Topics in Applied Earth Observations and Remote SensingGeometric accuracy of satellite imagery is a critical factor that determines the reliability of image analysis. Geostationary environment monitoring spectrometer (GEMS) is the world's first geostationary hyperspectral environmental satellite ...
Seunghyeok Choi +4 more
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Journal of Function Spaces, 2021 In this paper, the Crank-Nicolson Fourier spectral method is proposed for solving the space fractional Schrödinger equation with wave operators. The equation is treated with the conserved Crank-Nicolson Fourier Galerkin method and the conserved Crank ...
Lei Zhang +3 more
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, 2017 We develop spectral collocation methods for fractional differential equations with variable order with two end-point singularities. Specifically, we derive three-term recurrence relations for both integrals and derivatives of the weighted Jacobi ...
George Em Karniadakis +5 more
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A spectral collocation method based on integrated Chebyshev polynomials for two-dimensional biharmonic boundary-value problems [PDF]
, 2007 This paper reports a new spectral collocation method for numerically solving two-dimensional biharmonic boundary-value problems. The construction of the Chebyshev approximations is based on integration rather than conventional differentiation.
Tanner, Roger I. +3 more
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Space-time spectral collocation method for Allen-Cahn equation
上海师范大学学报. 自然科学版, 2023 Allen-Cahn equation is an important phase field model, which has been widely used to investigate interfacial dynamic problems. In this paper, we propose a Legendre-Gauss spectral collocation scheme for the Allen-Cahn equation by using Legendre-Gauss ...
JIA Mengshu, XIE Shanshan, JIAO Yujian
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A paired quasilinearization method for solving the MHD mixed convection flow of a micropolar fluid through a truncated cone in a non-Darcy porous medium [PDF]
Theoretical and Applied Mechanics, 2019 The aim of this paper is to investigate the flow, heat and mass transfer through a truncated cone in a non-Darcy porous medium in the presence of a transverse magnetic field by considering chemical reaction and radiation effects where the fluid is ...
Ayano Mekonnen Shiferaw +2 more
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Supporting Collocation Learning [PDF]
, 2010 Collocations are of great importance for second language learners. Knowledge of them plays a key role in producing language accurately and fluently. But such knowledge is difficult to acquire, simply because there is so much of it.
Shaoqun Wu, Wu, Shaoqun
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Fractal and FractionalSolving fractional differential equations using spectral collocation methods based on classical orthogonal polynomials often leads to a reduced convergence rate due to the limited regularity of the solutions.
Amal Alshabanat +3 more
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Results in Applied MathematicsWe present a reliable numerical method for solving multidimensional partial Volterra integro-differential equations (PVIDEs). This comprehensive approach integrates techniques from product integration, the Nyström method, and spectral collocation, all ...
Saman Bagherbana +2 more
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