Implementation

This section contains articles useful to SUNDIALS developers or to anyone who wishes to learn more about the underlying numerical methods and actual implementation of the SUNDIALS solvers.

General

• Initial Value Problems - ODE vs. DAE
• Backward Differentiation Formulas
• Derivation of BDF in fixed leading coefficient form
• Stiffness and absolute stability
• Solution of implicit systems
• Sensitivity analysis - FSA vs. ASA
• Manual Instrumentation - Runtime metrics for CVODE

Linear Solver Packages

• Block-Tridiagonal Solver Extension to SUNDIALS

cvode(s)

• The initial step size
• High-level overview of CVODE time stepping
• When and from where is the system function f called
• Serialization/de-serialization of CVODE and assoicated linear solvers (for use with FMI 2.0)

ida

• Calculation of initial conditions

kinsol

sundialsTB