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Adjoint System in the Shooting Method to Solve Boundary Value Problems

2022/09/28 by Ernest Scheiber, Scheiber, Ernest
Computer Science · Mathematics · #65L10 #65L99 #Advanced Computational Techniques in Science and Engineering #FOS: Mathematics #Iterative Methods for Nonlinear Equations #Numerical Analysis (math.NA)

paper · pdf · doi:10.48550/arxiv.2209.14170

openalex publication_date 2022/09/28 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

The shooting method is used to solve a boundary value problem with separated and explicit constraints. To obtain approximations of an unknown initial values there are considered arguments based on the adjoint differential system attached to the given differential system. Finally the Newton - Kantorovich iterations are regained.

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