Results 61 to 70 of about 2,116 (163)
Extrapolation methods for first order ordinary differential equations [PDF]
, 1980 Given a system of fist order differential equations, whose coefficient matrix has constant elements, with initial conditions specified, a family of extrapolating algorithms based on Pade approximants to the exponential function is developped.
Twizell, E H
core
, 2020 The spin-half pyrochlore Heisenberg antiferromagnet (PHAF) is one of the most challenging problems in the field of highly frustrated quantum magnetism. Stimulated by the seminal paper of M.~Planck [M.~Planck, Verhandl. Dtsch. phys. Ges. {\bf 2}, 202-204 (
Derzhko, Oleg +4 more
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Studies in Applied Mathematics, Volume 154, Issue 5, May 2025.ABSTRACT Dirichlet–Neumann operators (DNOs) are important to the formulation, analysis, and simulation of many crucial models found in engineering and the sciences. For instance, these operators permit moving‐boundary problems, such as the classical water wave problem (free‐surface ideal fluid flow under the influence of gravity and capillarity), to be
David P. Nicholls +2 more
wiley +1 more source
New asymptotic expansions and Padé approximants related to the triple gamma function
Journal of Inequalities and Applications, 2022 In this work, our main focus is to establish asymptotic expansions for the triple gamma function in terms of the triple Bernoulli polynomials. As application, an asymptotic expansion for hyperfactorial function is also obtained.
Sourav Das, A. Swaminathan
doaj +1 more source
Explicit and implicit methods for second order ordinary differential equations [PDF]
, 1980 A family of explicit formulas is developed for solving a system of second order linear ordinary differential equations with constant coefficients and with initial conditions specified.
Twizell, E H
core
Engineering Reports, Volume 7, Issue 4, April 2025.ABSTRACT The study introduces a computational method that combines Legendre polynomials with Gauss–Lobatto points to solve nonlinear coupled differential equations, focusing on the Williamson fluid model under the influence of mixed convection and permeability with mixed boundary conditions.
R. A. Oderinu +4 more
wiley +1 more source
International Journal of Differential Equations, 2015 We combine the Adomian decomposition method (ADM) and Adomian’s asymptotic decomposition method (AADM) for solving Riccati equations. We investigate the approximate global solution by matching the near-field approximation derived from the Adomian ...
Jafar Biazar, Mohsen Didgar
doaj +1 more source
High-resolution simulations and modeling of reshocked single-mode Richtmyer-Meshkov instability: Comparison to experimental data and to amplitude growth model predictions [PDF]
, 2007 The reshocked single-mode Richtmyer-Meshkov instability is simulated in two spatial dimensions using the fifth- and ninth-order weighted essentially nonoscillatory shock-capturing method with uniform spatial resolution of 256 points per initial ...
Don, Wai Sun +2 more
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Journal of Geophysical Research: Solid Earth, Volume 130, Issue 4, April 2025.Abstract Among the subsurface geophysical methods used in the critical zone investigations, induced polarization (IP) shows great vitality thanks to its unique ability to assess porosity via bulk conduction and estimate permeability through surface conduction and/or polarization.
Youzheng Qi, Yuxin Wu
wiley +1 more source
Multiderivative methods for linear second order boundary value prob1ems [PDF]
, 1985 Second, fourth and sixth order methods are developed and analysed for the numerical solution of linear second order boundary value problems. The methods are developed by replacing the exponential terms in a three—point recurrence relation by Padé ...
Tirmizi, S I A, Twizell, E H
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