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Crank–Nicolson method

Known as: Crank-nicholson method, Crank-Nicolson, Crank–Nicolson 
In numerical analysis, the Crank–Nicolson method is a finite difference method used for numerically solving the heat equation and similar partial… 
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Related topics

Related topics

18 relations
Alternating direction implicit methodBackward Euler methodBeam propagation methodEuler method

Papers overview

Semantic Scholar uses AI to extract papers important to this topic.
Highly Cited
2018
Highly Cited
2018
Two-grid finite element methods combined with Crank-Nicolson scheme for nonlinear Sobolev equations
In this paper, we present a second-order accurate Crank-Nicolson scheme for the two-grid finite element methods of the nonlinear… 
Highly Cited
2017
Highly Cited
2017
Unconditionally Optimal Error Analysis of Crank–Nicolson Galerkin FEMs for a Strongly Nonlinear Parabolic System
In this paper, we present unconditionally optimal error estimates of linearized Crank–Nicolson Galerkin finite element methods… 
2016
2016
Crank-Nicolson Galerkin approximations to nonlinear Schrödinger equations with rough potentials
This paper analyzes the numerical solution of a class of nonlinear Schrodinger equations by Galerkin finite elements in space and… 
Highly Cited
2014
Highly Cited
2014
Optimal Error Estimates of Linearized Crank-Nicolson Galerkin FEMs for the Time-Dependent Ginzburg-Landau Equations in Superconductivity
In this paper, we study linearized Crank--Nicolson Galerkin finite element methods for time-dependent Ginzburg--Landau equations… 
Highly Cited
2009
Highly Cited
2009
A fully discrete, kinetic energy consistent finite-volume scheme for compressible flows
Highly Cited
2007
Highly Cited
2007
Stability and Convergence of the Crank-Nicolson/Adams-Bashforth scheme for the Time-Dependent Navier-Stokes Equations
In this paper, we study the stability and convergence of the Crank-Nicolson/Adams-Bashforth scheme for the two-dimensional… 
Highly Cited
2006
Highly Cited
2006
Convergence analysis of Crank-Nicolson and Rannacher time-marching
This paper presents a convergence analysis of Crank-Nicolson and Rannacher time-marching methods which are often used in flnite… 
Highly Cited
2005
Highly Cited
2005
A posteriori error estimates for the Crank-Nicolson method for parabolic equations
We derive optimal order a posteriori error estimates for time discretizations by both the Crank-Nicolson and the Crank-Nicolson… 
Highly Cited
2003
Highly Cited
2003
Two-Level Method Based on Finite Element and Crank-Nicolson Extrapolation for the Time-Dependent Navier-Stokes Equations
A fully discrete two-level finite element method (the two-level method) is presented for solving the two-dimensional time… 
Highly Cited
1984
Highly Cited
1984
Analytical and numerical aspects of certain nonlinear evolution equations. II. Numerical, nonlinear Schrödinger equation
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