On the Construction and Comparison of Difference Schemes

  title={On the Construction and Comparison of Difference Schemes},
  author={Gilbert Strang},
  journal={SIAM Journal on Numerical Analysis},
  • G. Strang
  • Published 1 September 1968
  • Mathematics
  • SIAM Journal on Numerical Analysis

A modified splitting method for the cubic nonlinear Schrödinger equation

. As a classical time-stepping method, it is well-known that the Strang splitting method reaches the first-order accuracy by losing two spatial derivatives. In this paper, we propose a modified

Higher Order Auxiliary Field Quantum Monte Carlo Methods

  • F. Goth
  • Physics
    Journal of Physics: Conference Series
  • 2022
The auxiliary field quantum Monte Carlo (AFQMC) method has been a workhorse in the field of strongly correlated electrons for a long time and has found its most recent implementation in the ALF

Stability and Error Estimate of the Operator Splitting Method for the Phase Field Crystal Equation

In this paper, we propose a second-order fast explicit operator splitting method for the phase field crystal equation. The basic idea lied in our method is to split the original problem into linear

Numerical Investigation of Modified Fornberg Whitham Equation

The aim of this study is to obtain numerical solutions of the modified Fornberg Whitham equation via collocation finite element method combined with operator splitting method. The splitting method is

Detailed Population Balance Modelling of Titanium Dioxide Nanoparticle Synthesis

Venator National Research Foundation (NRF), Prime Minister’s Office, Singapore under its Campus for Research Excellence and Technological Enterprise (CREATE) programme.

Numerical Solution of Burger's Type Equation Using Finite Element Collocation method with Strang Splitting

The nonlinear Burgers equation, which has a convection term, a viscosity term and a time dependent term in its structure, has been splitted according to the time term and then has been solved by

Computational Simulation and Modeling of Heat Release Effects on Turbulence in Turbulent Reacting Flow

This dissertation concerns the analysis and modeling of turbulence dynamics in turbulent combustion. In certain regimes of turbulent combustion, dilatation (volumetric expansion) induced by chemical

Operator Splitting Solution of Equal Width Wave Equation Based on the Lie-Trotter and Strang Splitting Methods

In the present work, we have applied four different algoritms based on the Lie-Trotter and Strang splitting methods to obtain numerical solution of Equal Width (EW) equation. For this purpose, EW

Operator splitting for numerical solution of the modified Burgers' equation using finite element method

The aim of this study is to obtain numerical behavior of a one‐dimensional modified Burgers' equation using cubic B‐spline collocation finite element method after splitting the equation with Strang



Numerical methods in multidimensional shocked flows

Numerical methods are described for the calculation of two-dimensional time-dependent in viscid flows that contain shocks. Methods are employed which do not consider the shock as in interior moving

RICHTMYER, A survey of difference methods for nonsteady fluid dynamics, Tech

  • Note 63-2,
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CROWLEY, Second-order numerical advection

  • J. Comp. Phys.,
  • 1967

WENDROFF, Difference schemes for hyperbolic equations with high order of accuracy, Comm

  • Pure Appl. Math.,
  • 1964

WENDROFF, Systems of conservation laws, Comm

  • Pure Appl. Math.,
  • 1960

Discrete Variable Methods in Ordinary Differential Equations

A Runge-Kutta for all Seasons

By analyzing the trends over N steps at once, stimates of the accuracy can be derived which compare in reliability with those for classic predictor-corrector methods.

Accurate partial difference methods I: Linear cauchy problems

Systems of conservation laws

Abstract : In this paper a wide class of difference equations is described for approximating discontinuous time dependent solutions, with prescribed initial data, of hyperbolic systems of nonlinear