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Accuracy of Classical Conservation Laws for Hamilton PDES Under Runge-Kutta Discretizations
Accuracy of Classical Conservation Laws Hamilton PDES Runge-Kutta Discretizations
2012/8/7
We investigate conservative properties of Runge-Kutta methods
for Hamiltonian PDEs. It is shown that multi-symplecitic Runge-Kutta meth-
ods preserve precisely norm square conservation law. Based on...
A study of the uniform accuracy of univariate thin plate spline interpolation
plate spline interpolation Numerical Analysis
2011/9/16
Abstract: The usual power function error estimates do not capture the true order of uniform accuracy for thin plate spline interpolation to smooth data functions in one variable. In this paper we prop...
A Computational and Theoretical Investigation of the Accuracy of Quasicontinuum Methods
quasicontinuum error analysis atomistic-to-continuum multiphysics.
2011/3/1
We give computational results to study the accuracy of several quasicontinuum methods
for two benchmark problems — the stability of a Lomer dislocation pair under shear and the
stability of a lattic...
Energy-preserving numerical schemes of high accuracy for one-dimensional Hamiltonian systems
geometric numerical integration long time numerical evolution
2010/12/15
We present a class of non-standard numerical schemes which are modifications of the discrete gradient method. They preserve the energy integral exactly (up to the round-off error). The considered clas...