Runge-Kutta MethodKutta, C
k(i)=step*feval(f,t+step*d(i),y+c(i,1:i-1)*k(1:i-1)'); end y1 = y+b*k'; This is of course repeated for each step. A Matlab function, rkgen, based on this follows. Since c and d are easily changed in the script, any form of the Runge–Kutta method can be implem...
This will be of particular importance in wave propagation problems, where these methods exhibit very little dissipation and dispersion. We proceed by introducing the method, giving the algorithms together with short Matlab codes, a brief description of convergence analysis, and end by illustrating the...
Received15 July 2023 Accepted09 January 2024 Published19 February 2024 DOIhttps://doi.org/10.1007/s00530-024-01263-6 Keywords Semantic segmentation RK method Convolutional neural network Dynamical systemAccess this article Log in via an institution Subscribe and save Springer+ Basic €32.70 /Month ...
a pra ctical a nd convenient approach is ven to j udge whether a R ua g e— K utta method is algebra i cally stable and (日t 口)一algebraically stable.Finally, a r e lat ion i s obtai ne d between 1日,,,q)一algebra i c stabif i ty and (0,P,q)-algebra i c ...
The method above is the most common 4th order ERK rule, there is another known as the 3/8 rule. It is a little less efficient and a little more accurate. A step of this rule is given by where This method is summarized in the following Butcher tableau. ...
Runge-Kutta discontinuous Galerkin method using a new type of WENO limiters on unstructured meshes. J Comput Phys 2013;248:200-20.J. Zhu, X. Zhong, C.-W. Shu and J. Qiu, Runge-Kutta discontinuous Galerkin method using a new type of WENO limiters on unstructured meshes, J. Comput. ...
IMEX Runge-Kutta method for solving jump-diffusion option pricing equation LI Zifeng,WANG Wansheng∗ (Mathematics and Science College,Shanghai Normal University,Shanghai200234,China) Abstract:The study onfinancial derivatives pricing has been one of the difficult issues infinancial mathematics....
3) Runge-Kutta integration method Runge-Kutta积分法4) numerical analysis/multistep Runge-Kutta methods 数值分析/多步Runge-Kutta方法5) Diagonally split Runge-Kutta methods 对角分裂Runge-Kutta法6) forth-ordered Runge-Kutta method Runge-Kutta四步积分法...
解常微分方程的三步Runge-Kutta方法