Composed BDF schemes with complex coefficients increase order by one, supply order p+1 error estimates from the imaginary part, break the Dahlquist barrier up to order 8, and give step-ratio stability bounds for non-uniform meshes.
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An LLM-based pipeline systematically converts the CLM-ml-v2 Fortran land surface model to JAX, delivering full differentiability, 8x fewer optimization steps, and 24x wall-clock speedup at N=2048 while releasing the code as a reusable framework.
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Error estimation for numerical approximations of ODEs via composition techniques. Part II: BDF methods
Composed BDF schemes with complex coefficients increase order by one, supply order p+1 error estimates from the imaginary part, break the Dahlquist barrier up to order 8, and give step-ratio stability bounds for non-uniform meshes.
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Systematic LLM Translation of Legacy Scientific Code to Differentiable Frameworks: Application to a Land Surface Model
An LLM-based pipeline systematically converts the CLM-ml-v2 Fortran land surface model to JAX, delivering full differentiability, 8x fewer optimization steps, and 24x wall-clock speedup at N=2048 while releasing the code as a reusable framework.