The impact of a natural time change on the convergence of the Crank-Nicolson scheme

The impact of a natural time change on the convergence of the Crank-Nicolson scheme

Show other versions (1)

We first analyse the effect of a square root transformation to the time variable on the convergence of the Crank-Nicolson scheme when applied to the solution of the heat equation with Dirac delta function initial conditions. In the original variables, the scheme is known to diverge as the time step...

书目详细资料
Main Authors:	Reisinger, C, Whitley, A
格式:	Journal article
出版:	Oxford University Press 2014

相似书籍

The impact of a natural time change on the convergence of the Crank-Nicolson scheme
由: Reisinger, C, et al.
出版: (2013)

Convergence analysis of Crank-Nicolson and Rannacher time-marching
由: Giles, M, et al.
出版: (2005)

Crank-Nicolson time-marching.
由: Giles, M
出版: (2008)

A Crank-Nicolson Scheme for the Dirichlet-to-Neumann Semigroup
由: Rola Ali Ahmad, et al.
出版: (2015-01-01)

On the Crank-Nicolson difference scheme for the time-dependent source identification problem
由: A. Ashyralyev, et al.
出版: (2021-06-01)

Explicit FDTD method based on iterated Crank–Nicolson scheme
由: Jun Shibayama, et al.
出版: (2022-01-01)

The Splitting Crank–Nicolson Scheme with Intrinsic Parallelism for Solving Parabolic Equations
由: Guanyu Xue, et al.
出版: (2020-01-01)

A decoupled Crank-Nicolson time-stepping scheme for thermally coupled magneto-hydrodynamic system
由: S. S. Ravindran
出版: (2017-12-01)

Frequency‐dependent finite‐difference time‐domain method based on iterated Crank–Nicolson scheme
由: Jun Shibayama, et al.
出版: (2023-01-01)

An alternating segment Crank–Nicolson parallel difference scheme for the time fractional sub-diffusion equation
由: Lifei Wu, et al.
出版: (2018-08-01)

Iterated Crank–Nicolson Method for Peridynamic Models
由: Jinjie Liu, et al.
出版: (2024-03-01)

Solving Advection Equations by Applying the Crank-Nicolson Scheme Combined with the Richardson Extrapolation
由: Zahari Zlatev, et al.
出版: (2011-01-01)

An efficient method to solve the fuzzy Crank–Nicolson scheme with application to the groundwater flow problem
由: N. Samarinas, et al.
出版: (2022-05-01)

Modified Crank-Nicolson Difference Schemes for Nonlocal Boundary Value Problem for the Schrödinger Equation
由: Allaberen Ashyralyev, et al.
出版: (2009-01-01)

An optimized finite difference Crank-Nicolson iterative scheme for the 2D Sobolev equation
由: Hong Xia, et al.
出版: (2017-07-01)

Solving burgers equation using crank-nicolson method /
由: 519619 Syazwani Mohd. Zokri, et al.
出版: (2012)

A mimetic finite difference method using Crank-Nicolson scheme for unsteady diffusion equation
由: Iliana A. Mannarino
出版: (2010-04-01)

A New Linearized Crank-Nicolson Mixed Element Scheme for the Extended Fisher-Kolmogorov Equation
由: Jinfeng Wang, et al.
出版: (2013-01-01)

Fast Crank-Nicolson compact difference scheme for the two-dimensional time-fractional mobile/immobile transport equation
由: Lijuan Nong, et al.
出版: (2021-04-01)

A Crank-Nicolson Method of Autocatalytic Reaction-Diffusion Systems
由: Abbas Al-Bayati, et al.
出版: (2006-12-01)

A Second-Order Crank-Nicolson-Type Scheme for Nonlinear Space–Time Reaction–Diffusion Equations on Time-Graded Meshes
由: Yusuf O. Afolabi, et al.
出版: (2022-12-01)

Efficient algorithms for crank-nicolson-based finite-difference time-domain methods
由: Tan, Eng Leong
出版: (2020)

Numerical Results of Crank-Nicolson and Implicit Schemes to Laplace Equation with Uniform and Non-Uniform Grids
由: Mohammad Ghani
出版: (2021-11-01)

Error estimates of mixed finite elements combined with Crank-Nicolson scheme for parabolic control problems
由: Yuelong Tang
出版: (2023-03-01)

A Crank–Nicolson linear difference scheme for a BBM equation with a time fractional nonlocal viscous term
由: Xue Shen, et al.
出版: (2018-10-01)

Determining European Options Values through Crank-Nicolson Method
由: Sorin MANOLE, et al.
出版: (2006-01-01)

Linearized Crank–Nicolson Scheme for the Two-Dimensional Nonlinear Riesz Space-Fractional Convection–Diffusion Equation
由: Merfat Basha, et al.
出版: (2023-03-01)

Numerical solution of nonlinear schrodinger equation using crank-nicolson method /
由: Md. Noman Uddin, 1979-, author 639810, et al.
出版: (2020)

Numerical solution of nonlinear schrodinger equation using crank-nicolson method /
由: Md. Noman Uddin, 1979-, author 639810
出版: (2020)

Keakuratan Solusi Pada Persamaan Difusi Menggunakan Skema Crank-Nicolson
由: Afidah Karimatul Laili, et al.
出版: (2014-11-01)

A Crank-Nicolson Difference Scheme for Solving a Type of Variable Coefficient Delay Partial Differential Equations
由: Wei Gu, et al.
出版: (2014-01-01)

A Crank–Nicolson Compact Difference Method for Time-Fractional Damped Plate Vibration Equations
由: Cailian Wu, et al.
出版: (2022-10-01)

A numerical approximation for the solution of a time-fractional telegraph equation based on the Crank–Nicolson method
由: H. Hajinezhad, et al.
出版: (2022-11-01)

A new parallel difference algorithm based on improved alternating segment Crank–Nicolson scheme for time fractional reaction–diffusion equation
由: Xiaozhong Yang, et al.
出版: (2019-10-01)

A Crank–Nicolson collocation spectral method for the two-dimensional telegraph equations
由: Yanjie Zhou, et al.
出版: (2018-06-01)

Crank-Nicolson orthogonal spline collocation method combined with WSGI difference scheme for the two-dimensional time-fractional diffusion-wave equation
由: Xu Xiaoyong, et al.
出版: (2020-03-01)

Crank-Nicolson Legendre spectral approximation for space-fractional Allen-Cahn equation
由: Wenping Chen, et al.
出版: (2019-05-01)

A Crank–Nicolson finite difference scheme for the Riesz space fractional-order parabolic-type sine-Gordon equation
由: Yanjie Zhou, et al.
出版: (2018-06-01)

A Crank–Nicolson Finite Volume Element Method for Time Fractional Sobolev Equations on Triangular Grids
由: Jie Zhao, et al.
出版: (2020-09-01)

Derive the finite difference scheme for the numerical solution of the first-order diffusion equation IBVP using the Crank-Nicolson method
由: Kurbonov Elyorjon, et al.
出版: (2023-01-01)