منابع مشابه
Geometric Exponential Integrators
In this paper, we consider exponential integrators for semilinear Poisson systems. Two types of exponential integrators are constructed, one preserves the Poisson structure, and the other preserves energy. Numerical experiments for semilinear Possion systems obtained by semi-discretizing Hamiltonian PDEs are presented. These geometric exponential integrators exhibit better long time stability p...
متن کاملExponential integrators
In this paper we consider the construction, analysis, implementation and application of exponential integrators. The focus will be on two types of stiff problems. The first one is characterized by a Jacobian that possesses eigenvalues with large negative real parts. Parabolic partial differential equations and their spatial discretization are typical examples. The second class consists of highl...
متن کاملMeshfree Exponential Integrators
For the numerical solution of time-dependent partial differential equations, a class of meshfree exponential integrators is proposed. These methods are of particular interest in situations where the solution of the differential equation concentrates on a small part of the computational domain which may vary in time. For the space discretization, radial basis functions with compact support are s...
متن کاملGeometric Integrators for ODEs
Geometric integration is the numerical integration of a differential equation, while preserving one or more of its “geometric” properties exactly, i.e. to within round-off error. Many of these geometric properties are of crucial importance in physical applications: preservation of energy, momentum, angular momentum, phase space volume, symmetries, time-reversal symmetry, symplectic structure an...
متن کاملExponential Integrators for Semilinear Problems
In the present work, exponential integrators for time integration of semilinear problems are studied. These integrators, as there name suggests, use the exponential and often functions which are closely related to the exponential function inside the numerical method. Three main classes of exponential integrators, exponential linear multistep (multivalue), exponential Runge–Kutta (multistage) an...
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: Journal of Computational Physics
سال: 2019
ISSN: 0021-9991
DOI: 10.1016/j.jcp.2019.01.005