document: Implementation of DIMSIMs for stiff differential systems Some issues related to the implementation of diagonally implicit multistage integration methods for stiff differential systems are discussed . They include reliable estimation of the local discretization error , construction of continuous interpolants , solution of nonlinear systems of equations by simplified Newton iterations , choice of initial stepsize and order , and step and order changing strategy . Numerical results are presented which indicate that an experimental Matlab code based on type 2 methods of order one , two and three outperforms ode15s code from Matlab ODE suite on problems whose Jacobian has eigenvalues which are close to the imaginary axis
doc_bio_tags: O O B O B I I O O O O O O O B I I I I O B I I O O O O O B I O O B I I O O O O B O O O B I I I O B I I O O O O O O O O O O O O O O O O O O O O O O O B I I O O O O O O O O O O O O O O O O O O O O O O O O O O O O O O O O
extractive_keyphrases: dimsims stiff differential systems reliable estimation local discretization error interpolants nonlinear systems of equations simplified newton iterations experimental matlab code diagonally implicit multistage integration methods