VFGEN
VFGEN is a computer program that creates computer code for a wide variety of numerical software packages. It generates code for ordinary differential equations and for delay-differential equations. Symbolic differentiation is used to generate Jacobians and higher derivatives. From a single definition of the user’s equations, VFGEN can generate code for initial value problem solver libraries, numerical continuation and bifurcation analysis programs, and general purpose computing environments. VFGEN also provides specialized commands for extending a vector field with its variational equation, converting delay equations to finite dimensional approximations, and for generating C code to compute Taylor polynomial approximations (of any given order) to the solution to a differential equation.
Keywords for this software
References in zbMATH (referenced in 14 articles , 1 standard article )
Showing results 1 to 14 of 14.
Sorted by year (- Páez Chávez, Joseph; Zhang, Zhi; Liu, Yang: A numerical approach for the bifurcation analysis of nonsmooth delay equations (2020)
- Konguetsof, A.: A hybrid method with phase-lag and derivatives equal to zero for the numerical integration of the Schrödinger equation (2011)
- Konguetsof, A.: Two-step high order hybrid explicit method for the numerical solution of the Schrödinger equation (2010)
- Konguetsof, A.: A new two-step hybrid method for the numerical solution of the Schrödinger equation (2010)
- Simos, T. E.: Exponentially and trigonometrically fitted methods for the solution of the Schrödinger equation (2010)
- Aloy, R.; Casabán, M.-C.; Jódar, L.: A discrete eigenfunctions method for computing mixed hyperbolic problems based on an implicit difference scheme (2009)
- Anastassi, Z. A.; Vlachos, D. S.; Simos, T. E.: A new methodology for the development of numerical methods for the numerical solution of the Schrödinger equation (2009)
- Anastassi, Z. A.; Vlachos, D. S.; Simos, T. E.: A family of Runge-Kutta methods with zero phase-lag and derivatives for the numerical solution of the Schrödinger equation and related problems (2009)
- Anastassi, Z. A.; Vlachos, D. S.; Simos, T. E.: A new methodology for the construction of numerical methods for the approximate solution of the Schrödinger equation (2009)
- Panopoulos, G. A.; Anastassi, Z. A.; Simos, T. E.: Two optimized symmetric eight-step implicit methods for initial-value problems with oscillating solutions (2009)
- Simos, T. E.: A new Numerov-type method for the numerical solution of the Schrödinger equation (2009)
- Vlachos, D. S.; Anastassi, Z. A.; Simos, T. E.: High order phase fitted multistep integrators for the Schrödinger equation with improved frequency tolerance (2009)
- Vlachos, D. S.; Anastassi, Z. A.; Simos, T. E.: High order multistep methods with improved phase-lag characteristics for the integration of the Schrödinger equation (2009)
- Weckesser, Warren: VFGEN: a code generation tool (2008)