Selected FATODE explicit Runge-Kutta tangent-linear integrator, linked to native BLAS/LAPACK. The FPM wrapper compiles unchanged TLM/ERK_TLM/ERK_TLM_f90_Integrator.F90; bundled precompiled platform binaries are not used. The example augments exponential decay with a constant rate state and differentiates the initial rate using the tangent-linear model, checking the state, rate, and both sensitivities against analytical formulas. It explicitly selects the supplied analytical Jacobian and enables tangent-variable adaptive error control; the initial default finite-difference Jacobian settings missed the requested sensitivity accuracy. No numerical library edits. Implicit/stiff solvers, adjoint integration, sparse solver variants and all ERK methods are not offered or verified.
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Build record verified 2026-10-29.
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Reviewed procedures
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Derivatives / callbacks: User-supplied analytical state Jacobian in this demo; tangent initial conditions select the rate sensitivity.
Selected FATODE explicit Runge-Kutta tangent-linear integrator, linked to native BLAS/LAPACK. The FPM wrapper compiles unchanged TLM/ERK_TLM/ERK_TLM_f90_Integrator.F90; bundled precompiled platform binaries are not used. The example augments exponential decay with a constant rate state and differentiates the initial rate using the tangent-linear model, checking the state, rate, and both sensitivities against analytical formulas. It explicitly selects the supplied analytical Jacobian and enables tangent-variable adaptive error control; the initial default finite-difference Jacobian settings missed the requested sensitivity accuracy. No numerical library edits. Implicit/stiff solvers, adjoint integration, sparse solver variants and all ERK methods are not offered or verified.