On the multisymplecticity of partitioned Runge–Kutta and splitting methods
نویسندگان
چکیده
منابع مشابه
On the multisymplecticity of partitioned Runge-Kutta and splitting methods
Although Runge–Kutta and partitioned Runge–Kutta methods are known to formally satisfy discrete multisymplectic conservation laws when applied to multi-Hamiltonian PDEs, they do not always lead to well-defined numerical methods. We consider the case study of the nonlinear Schrödinger equation in detail, for which the previously known multisymplectic integrators are fully implicit and based on t...
متن کاملOn multisymplecticity of partitioned Runge–Kutta and splitting methods
Although Runge–Kutta and partitioned Runge–Kutta methods are known to formally satisfy discrete multisymplectic conservation laws when applied to multi-Hamiltonian PDEs, they do not always lead to well-defined numerical methods. We consider the case study of the nonlinear Schrödinger equation in detail, for which the previously known multisymplectic integrators are fully implicit and based on t...
متن کاملOn Multisymplecticity of Partitioned Runge-Kutta Methods
Previously, it has been shown that discretising a multi-Hamiltonian PDE in space and time with partitioned Runge–Kutta methods gives rise to a system of equations that formally satisfy a discrete multisymplectic conservation law. However, these studies use the same partitioning of the variables into two partitions in both space and time. This gives rise to a large number of cases to be consider...
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ژورنال
عنوان ژورنال: International Journal of Computer Mathematics
سال: 2007
ISSN: 0020-7160,1029-0265
DOI: 10.1080/00207160701458633