Two exponential-type integrators for the “good” Boussinesq equation
نویسندگان
چکیده
منابع مشابه
Pseudospectral Method for the " Good " Boussinesq Equation
We prove the nonlinear stability and convergence of a fully discrete, pseudospectral scheme for the "good" Boussinesq equation un = -uxxxx + uxx + ("2)xx ■ Numerical comparisons with finite difference schemes are also reported.
متن کاملSymmetric exponential integrators for the cubic Schrödinger equation
preprint numerics no. 3/2006 norwegian university of science and technology trondheim, norway
متن کاملSolving the nonlinear Schrödinger equation using exponential integrators¶
Using the notion of integrating factors, Lawson developed a class of numerical methods for solving stiff systems of ordinary differential equations. However, the performance of these “Generalized Runge–Kutta processes” was demonstrably poorer when compared to the ETD schemes of Certaine and Nørsett, recently rediscovered by Cox and Matthews. The deficit is particularly pronounced when the schem...
متن کاملThe Boussinesq equation and Miura type transformations
Several Miura type transformations for the Boussinesq equation are found and the corresponding integrable systems constructed.
متن کاملImplementation of exponential Rosenbrock-type integrators
In this paper, we present a variable step size implementation of exponential Rosenbrock-type methods of orders 2, 3 and 4. These integrators require the evaluation of exponential and related functions of the Jacobian matrix. To this aim, the Real Leja Points Method is used. It is shown that the properties of this method combine well with the particular requirements of Rosenbrock-type integrator...
متن کاملذخیره در منابع من
با ذخیره ی این منبع در منابع من، دسترسی به آن را برای استفاده های بعدی آسان تر کنید
ژورنال
عنوان ژورنال: Numerische Mathematik
سال: 2019
ISSN: 0029-599X,0945-3245
DOI: 10.1007/s00211-019-01064-4