DIMSIM
Experiments with a variable-order type 1 DIMSIM code. A new code for nonstiff ordinary differential equations is discussed. It is based on the Nordsieck representation of type 1 diagonally implicit multistage integration methods (DIMSIMs), implemented in a variable-step size variable-order mode. The code outperforms the Matlab {it ode45} code for moderate and stringent tolerances.
Keywords for this software
References in zbMATH (referenced in 23 articles , 1 standard article )
Showing results 1 to 20 of 23.
Sorted by year (- Abdi, Ali: Recent advances in the numerical solution of Volterra integral equations (2021)
- Almasoodi, A. Y. J.; Abdi, A.; Hojjati, G.: A GLMs-based difference-quadrature scheme for Volterra integro-differential equations (2021)
- Jalilian, A.; Abdi, A.; Hojjati, G.: Variable stepsize SDIMSIMs for ordinary differential equations (2021)
- Abdi, Ali; Conte, Dajana: Implementation of second derivative general linear methods (2020)
- Abdi, Ali; Hojjati, Gholamreza: Projection of second derivative methods for ordinary differential equations with invariants (2020)
- Abdi, Ali; Hojjati, Gholamreza; Sharifi, Mohammad: Implicit-explicit second derivative diagonally implicit multistage integration methods (2020)
- Abdi, A.; Jackiewicz, Z.: Towards a code for nonstiff differential systems based on general linear methods with inherent Runge-Kutta stability (2019)
- Califano, G.; Izzo, G.; Jackiewicz, Z.: Starting procedures for general linear methods (2017)
- Famelis, I. Th.; Jackiewicz, Z.: A new approach to the construction of DIMSIMs of high order and stage order (2017)
- Cardone, Angelamaria; Jackiewicz, Zdzisław; Verner, James H.; Welfert, Bruno: Order conditions for general linear methods (2015)
- Braś, M.: Nordsieck methods with inherent quadratic stability (2011)
- Izzo, G.; Jackiewicz, Z.; Messina, E.; Vecchio, A.: General linear methods for Volterra integral equations (2010)
- Jackiewicz, Zdzisław: General linear methods for ordinary differential equations (2009)
- Jackiewicz, Z.; Zubik-Kowal, B.: Discrete variable methods for delay-differential equations with threshold-type delays (2009)
- Kulikov, G. Yu.; Shindin, S. K.: Local and global error estimation in Nordsieck methods (2008)
- Butcher, J. C.; Jackiewicz, Z.; Wright, W. M.: Error propagation of general linear methods for ordinary differential equations (2007)
- Hoppensteadt, F. C.; Jackiewicz, Z.: Numerical solution of a problem in the theory of epidemics (2006)
- Jackiewicz, Z.: Construction and implementation of general linear methods for ordinary differential equations: a review (2005)
- Butcher, J. C.; Jackiewicz, Z.: A new approach to error estimation for general linear methods (2003)
- Jackiewicz, Z.: Implementation of DIMSIMs for stiff differential systems (2002)