has characteristic has parameter is similar to uses IDA 1 1 1 1 2011-05-09 http://identifiers.org/biosimulators/opencor http://identifiers.org/biosimulators/vcell http://identifiers.org/doi/10.1137/0915088 http://identifiers.org/doi/10.1145/1089014.1089020 http://identifiers.org/doi/10.4249/scholarpedia.2860 AZ IDA solves real differential-algebraic systems in N-space, in the general form F(t,y,y')=0, y(t0)=y0, y'(t0)=y'0. At each step, a Newton iteration [http://identifiers.org/biomodels.kisao/KISAO_0000408] leads to linear systems Jx=b, which are solved by one of five methods - two direct (dense or band; serial version only) and three Krylov [http://identifiers.org/biomodels.kisao/KISAO_0000354] (GMRES [http://identifiers.org/biomodels.kisao/KISAO_0000353], BiCGStab [http://identifiers.org/biomodels.kisao/KISAO_0000392], or TFQMR [http://identifiers.org/biomodels.kisao/KISAO_0000396]). IDA is written in C, but derived from the package DASPK [http://identifiers.org/biomodels.kisao/KISAO_0000355] which is written in Fortran. SUNDIALS implicit differential-algebraic solver solver for differential-algebraic equation systems backward differentiation formula Krylov subspace projection method DASPK differential-algebraic equation problem linearity of equation scaled preconditioned generalized minimal residual method IDA-like method linear solver upper half-bandwidth lower half-bandwidth interpolate solution