Results 21 to 30 of about 25,818 (165)
Academy Journal of Science and Engineering, 2022 Super Runge-Kutta- Nyström (SRKN) method for direct solution of general third order ordinary differential equations (ODEs) is an extension of the Runge-Kutta- Nyström (RKN) for solution of second ODEs.This paper describe and implement by means of a ...
Zamurat A. Adegboye +2 more
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Axioms, 2022 In this work, a new pair of diagonally implicit Runge–Kutta–Nyström methods with four stages is constructed. The proposed method has been derived to solve initial value problems of special second-order ordinary-differential equations. The principal local
Musa Ahmed Demba +3 more
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GraFIX: a semiautomatic approach for parsing low- and high-quality eye-tracking data [PDF]
, 2014 Fixation durations (FD) have been used widely as a measurement of information processing and attention. However, issues like data quality can seriously influence the accuracy of the fixation detection methods and, thus, affect the validity of our results
Johnson, Mark H. +2 more
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Superconvergent Nyström and Degenerate Kernel Methods for Integro-Differential Equations
Mathematics, 2022 The aim of this paper is to carry out an improved analysis of the convergence of the Nyström and degenerate kernel methods and their superconvergent versions for the numerical solution of a class of linear Fredholm integro-differential equations of the ...
Abdelmonaim Saou +3 more
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Semi Implicit Hybrid Methods with Higher Order Dispersion for Solving Oscillatory Problems
Abstract and Applied Analysis, 2013 We constructed three two-step semi-implicit hybrid methods (SIHMs) for solving oscillatory second order ordinary differential equations (ODEs). The first two methods are three-stage fourth-order and three-stage fifth-order with dispersion order six and ...
S. Z. Ahmad +3 more
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A three-stage dispersion and dissipation of order infinity Runge-Kutta-Nyström method for periodic IVPs [PDF]
, 2013 In this paper, a new three-stage Runge-Kutta-Nyström (RKN) method with two variable coefficients is constructed. The new method is based on Garcia's RKN method of algebraic order four.
Ismail, Fudziah +3 more
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Advances in Mathematical Physics, 2022 In this paper, we introduce the nonlinear Fredholm integro-differential equation of the second kind with singular kernel in two-dimensional NT-DFIDE. Furthermore, we study this new equation numerically.
Abeer M. Al-Bugami
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Constrained spectral clustering via multi–layer graph embeddings on a grassmann manifold
International Journal of Applied Mathematics and Computer Science, 2019 We present two algorithms in which constrained spectral clustering is implemented as unconstrained spectral clustering on a multi-layer graph where constraints are represented as graph layers.
Trokicić Aleksandar +1 more
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A Note on the Construction of Explicit Symplectic Integrators for Schwarzschild Spacetimes
The Astrophysical Journal, 2022 In recent publications, the construction of explicit symplectic integrators for Schwarzschild- and Kerr-type spacetimes is based on splitting and composition methods for numerical integrations of Hamiltonians or time-transformed Hamiltonians associated ...
Naying Zhou +3 more
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Janossy densities for chiral random matrix ensembles and their applications to two-color QCD
Journal of High Energy Physics, 2019 We compute individual distributions of low-lying eigenvalues of massive chiral random matrix ensembles by the Nyström-type quadrature method for evaluating the Fredholm determinant and Pfaffian that represent the analytic continuation of the Janossy ...
Hiroyuki Fuji +2 more
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