SIXTH ORDER EXPLICIT EXPONENTIAL ROSENBROCK-TYPE METHODS FOR SEMILINEAR PARABOLIC PROBLEMS | Zendy

Yuhao Cong | Zendy; Dongping Li | Zendy

AI Assistant Blog Pricing

Home ZAIA Blog

Open Access

SIXTH ORDER EXPLICIT EXPONENTIAL ROSENBROCK-TYPE METHODS FOR SEMILINEAR PARABOLIC PROBLEMS

Author(s) -

Yuhao Cong,

Dongping Li

Publication year - 2013

Publication title -

journal of applied analysis and computation

Language(s) - English

Resource type - Journals

SCImago Journal Rank - 0.55

H-Index - 21

eISSN - 2158-5644

pISSN - 2156-907X

DOI - 10.11948/2013024

Subject(s) - mathematics , exponential integrator , banach space , semigroup , exponential function , mathematical analysis , l stability , numerical analysis , type (biology) , order (exchange) , stiff equation , variable (mathematics) , differential equation , ordinary differential equation , differential algebraic equation , ecology , finance , economics , biology

The paper is concerned with the numerical analysis of high-order exponential Rosenbrock-type integrators for large-scale systems of stiff differential equations. The analysis is performed in a semigroup framework of semilinear evolution equations in Banach space. By expanding the errors of the numerical methods in terms of the solution, we further derive new order conditions and thus allows us to construct higher-order methods. A new and more general stiff error analysis is presented to show the converge results for variable step sizes.

The content you want is available to Zendy users.

Already have an account? Click here to sign in.

Having issues? You can contact us here

Accelerating Research