A new implicit high‑order iterative scheme for the numerical ...

A High‐Order Iterative Scheme for a Nonlinear Pseudoparabolic ...

Next, we present numerical results in detail to show that the convergence rate of the 2-order iterative scheme is faster than that of the single ...

A new implicit high-order iterative scheme for the numerical ...

A new implicit high-order iterative scheme for the numerical simulation of the two-dimensional time fractional Cable equation.

implicit iterative scheme Latest Research Papers - ScienceGate

Compact high-order implicit iterative scheme for the two-dimensional time-fractional diffusion equation ... International Journal for Numerical Methods in Fluids ...

High-Order Implicit Time-stepping with High-order CENO Methods ...

In Section 5, six numerical simulations are presented to illustrate the benefits of the aforementioned schemes with a focus on stiff problems.

High‐Order Iterative Scheme for a Viscoelastic Wave Equation and ...

Next, with N = 2, a numerical algorithm given by the finite-difference method is constructed to approximate the solution via the 2-order ...

TIME ACCURACY AND THE USE OF IMPLICIT METHODS

first order scheme) a given number of subiterations p = 0 ... 5van Zuijlen, A.H. Bijl, H., “Implicit and explicit higher order time integration schemes for.

Efficient Iterative Arbitrary High-Order Methods: an Adaptive Bridge ...

We propose a new paradigm for designing efficient p-adaptive arbitrary high-order methods. We consider arbitrary high-order iterative schemes that gain one ...

High order semi-Implicit schemes for time dependent partial ...

... methods) numerical schemes that require the solution of linear systems of equations for the computation of the numerical solution with no Newton iteration.

A hybrid parareal spectral deferred corrections method

but in this example, the number of SDC iterations used limits the formal order of ... [50] M. L. Minion, Higher-order semi-implicit projection methods, Numerical ...

A New Higher-Order Iterative Scheme for the Solutions of Nonlinear ...

A good variety of applied science problems is considered in order to investigate the authenticity of our presented methods. Finally, using numerical experiments ...

CCSE Research: Spectral Deferred Correction Methods

The iterative nature of SDC methods can be exploited to create higher-order methods ... We developed a high-order numerical scheme combining MLSDC and the global ...

A higher order frozen Jacobian iterative method for solving Hamilton ...

Hence if a method uses least number of Jacobian evaluation and LU factorization and achieves a high convergence rate, then we way that particular method is ...

A high-order iterative implicit-explicit hybrid scheme for ...

Multicolors proposed in the paper may significantly reduce the number of iterations required to reach a converged solution. Compared with the largest Courant ...

the implicit closest point method for the numerical solution of partial ...

This may lead to a strict time-step restriction for some important PDEs such as those involving the. Laplace-Beltrami operator or higher-order derivative ...

High order pressure-based semi-implicit IMEX schemes for the 3D ...

Here, the idea is to obtain a linearly implicit scheme for the stiff terms in the governing equations, thus avoiding any need of iterative ...

ENO and WENO Schemes - University of Notre Dame

High-order numerical schemes have been applied extensively in computational ... A fifth order flux implicit WENO method. J. Sci. Comput. 27, 271–287 ...

Runge–Kutta methods - Wikipedia

In numerical analysis, the Runge–Kutta methods are a family of implicit and explicit iterative methods, which include the Euler method, used in temporal ...

High-order rotated grid point iterative method for solving 2D time ...

Zhuang P, Liu F, Anh V, Turner I (2008) New solution and analytical techniques of the implicit numerical method for the anomalous subdiffusion equation.

High resolution compact implicit numerical scheme for conservation ...

... higher order scheme with non-oscillatory numerical solutions is re- quired. In this context, we introduce a novel compact implicit method for ...

An efficient fifth-order iterative scheme for solving a system of ...

Some numerical examples are employed to show the superiority of the proposed iterative method. The computational efficiency index has also been illustrated and ...