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Diff — Numerical methods for ordinary differential equations

Revision #1439 → #3487 · back to history

modifiedPicard–Lindelöf theorem0b75d13c1b1e
FieldFrom #1439To #3487
mathlib.moduleMathlib.Analysis.ODE.PicardLindelofMathlib.Analysis.ODE.ExistUnique
noteLocal existence is given by `exists_eq_forall_mem_Icc_hasDerivWithinAt` and uniqueness by `ODE_solution_unique` in `Mathlib.Analysis.ODE.Gronwall`.Local existence is given by `IsPicardLindelof.exists_eq_forall_mem_Icc_hasDerivWithinAt` and uniqueness by `ODE_solution_unique`, both in `Mathlib.Analysis.ODE.ExistUnique`.
addedBoundary value problemfa0000df2cb3
addedLinear multistep method (classification)ccdbb984386e
addedStiff differential equation (rule of thumb)c9340f7e827b
addedSymplectic integratorff18098871cb
modifiedGlobal error of one-step method implies convergence38120a2eb193
FieldFrom #1439To #3487
noteThis convergence result for one-step methods is not formalized in Mathlib, though `discrete_gronwall` provides related discrete error-bound infrastructure.This convergence result for one-step methods is not formalized in Mathlib, though `discrete_gronwall` in `Mathlib.Analysis.ODE.DiscreteGronwall` provides related discrete error-bound infrastructure.
addedDifferential inclusion3f8f2fccea4d
addedA-stability3938291f0c67