A GLMs-based difference-quadrature scheme for Volterra integro-differential equations
Sign Up to like & getrecommendations! Published in 2021 at "Applied Numerical Mathematics"
DOI: 10.1016/j.apnum.2021.02.001
Abstract: Abstract In this paper, a class of general linear methods is combined with a special quadrature rule inherited from natural Runge–Kutta methods for Volterra integral equations to design a more stable and efficient algorithm. The… read more here.
Keywords: quadrature; difference quadrature; quadrature scheme; scheme volterra ... See more keywords
A fast, accurate and easy to implement Kapur–Rokhlin quadrature scheme for singular integrals in axisymmetric geometries
Sign Up to like & getrecommendations! Published in 2022 at "Journal of Plasma Physics"
DOI: 10.1017/s002237782300020x
Abstract: Many applications in magnetic confinement fusion require the efficient calculation of surface integrals with singular integrands. The singularity subtraction approaches typically used to handle such singularities are complicated to implement and low-order accurate. In contrast,… read more here.
Keywords: rokhlin quadrature; singular integrals; kapur rokhlin; scheme ... See more keywords