A BVP solver based on residual control and the Maltab PSE

2001/09/01 by Jacek Kierzenka, Jacek A. Kierzenka, Lawrence F. Shampine +1 · 695 citations
Engineering · Mathematics · #Advanced Numerical Methods in Computational Mathematics #Algorithm #Applied mathematics #Boundary value problem #Computational Fluid Dynamics and Aerodynamics #Computational science #Computer science #Differential equation #MATLAB #Mathematical analysis #Mathematical optimization #Mathematics #Numerical methods for differential equations #Ode #Ordinary differential equation #Programming language #Residual #Software #Solver

paper · doi:10.1145/502800.502801

published in ACM Transactions on Mathematical Software 27(3), 299-316 (Association for Computing Machinery)

openalex publication_date 2001/09/01 · openalex created_date 2025/10/10 · openalex updated_date 2026/08/04

Abstract

Our goal was to make it as easy as possible to solve a large class of boundary value problems (BVPs) for ordinary differential equations in the Matlab problem solving environment (PSE). We present here theoretical and software developments resulting in bvp4c, a capable BVP solver that is exceptionally easy to use.

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