A Newton Interpolation Approach to Generalized Stirling Numbers [PDF]
Journal of Applied Mathematics, 2012 We employ the generalized factorials to define a Stirling-type pair {s(n,k;α,β,r),S(n,k;α,β,r)} which unifies various Stirling-type numbers investigated by previous authors.
Aimin Xu
doaj +2 more sources
Interpolated Coefficient Mixed Finite Elements for Semilinear Time Fractional Diffusion Equations
Fractal and Fractional, 2023 In this paper, we consider a fully discrete interpolated coefficient mixed finite element method for semilinear time fractional reaction–diffusion equations. The classic L1 scheme based on graded meshes and new mixed finite element based on triangulation
Xiaowu Li, Yuelong Tang
doaj +1 more source
A Novel n-Point Newton-Type Root-Finding Method of High Computational Efficiency
Mathematics, 2022 A novel Newton-type n-point iterative method with memory is proposed for solving nonlinear equations, which is constructed by the Hermite interpolation. The proposed iterative method with memory reaches the order (2n+2n−1−1+22n+1+22n−2+2n+1)/2 by using n
Xiaofeng Wang
doaj +1 more source
Newton Type Operator Interpolation Formulas Based on Interpolation by Means of Rational Functions [PDF]
Computational Methods in Applied Mathematics, 2002 AbstractThis paper is devoted to the construction of Newton type interpolation formulas for operators differentiable or not in the Gateaux sense based on interpolation by means of rational functions. The formulas obtained are exact for operator polynomials typical for the considered systems of rational functions.
Ignatenko, M. V., Yanovich, L. A.
openaire +2 more sources
Symmetric smooth interpolation on triangles [PDF]
, 1974 Rational and polynomial 'smooth' interpolation schemes are derived which interpolate a function and its derivatives along the boundary of a triangle.
Gregory, JA
core +6 more sources
Multi-Rate Parallel Real-Time Simulation Method for Doubly Fed Wind Power Systems Based on FPGA–CPU
Machines, 2022 A multi-rate parallel real-time simulation method based on FPGA–CPU is studied to realize the asynchronous co-simulation of the converter of doubly fed wind power systems with the wind turbine and external power grid.
Guangrao Yang +5 more
doaj +1 more source
Finite Gradient Models with Enriched RBF-Based Interpolation
Mathematics, 2022 A finite strain gradient model for the 3D analysis of materials containing spherical voids is presented. A two-scale approach is proposed: a least-squares methodology for RVE analysis with quadratic displacements and a full high-order continuum with both
Pedro Areias +3 more
doaj +1 more source
A New Blow-Up Criterion to a Singular Non-Newton Polytropic Filtration Equation
Mathematics, 2023 In this paper, a singular non-Newton polytropic filtration equation under the initial-boundary value condition is revisited. The finite time blow-up results were discussed when the initial energy E(u0) was subcritical (E(u0)d), with d being the potential
Qingwei Li, Menglan Liao
doaj +1 more source
A general recurrence interpolation formula and its applications to multivariate interpolation [PDF]
, 1982 Following the ideas of several papers by G. Mühlbach, a general recurrence interpolation formula is obtained that contains as particular cases some extended Newton and Aitken-Neville interpolation formulas. The exposition of the problem allows us to show
López-Carmona, A, Gasca, M
core +1 more source
Improvement of the WENO-NIP Scheme for Hyperbolic Conservation Laws
Axioms, 2022 The WENO-NIP scheme was obtained by developing a class of L1-norm smoothness indicators based on Newton interpolation polynomial. It recovers the optimal convergence order in smooth regions regardless of critical points and achieves better resolution ...
Ruo Li, Wei Zhong
doaj +1 more source