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April 11, 2026Communications on Applied Mathematics and ComputationOpen Access

A Discontinuous Galerkin Semi-Lagrangian Scheme for 1D Hamilton-Jacobi-Bellman Equations

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Authors

CSC. De SimoneAFA. Festa

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Overview

Numerical method approximates solutions to Hamilton-Jacobi-Bellman equations, suggesting effectiveness with various data types.

Key Points

  • This research aims to develop a numerical method for solving the Hamilton-Jacobi-Bellman equation in one dimension.
  • Combines Semi-Lagrangian scheme with Discontinuous Galerkin method
  • Aims to reconstruct characteristic directions and generate approximate solutions
  • Conducts numerical experiments with different types of data
  • Demonstrates the proposed method's ability to handle regular and discontinuous data effectively
  • Highlights the robustness and flexibility of the combined approach
  • Provides comparative performance metrics through various numerical experiments

Cite This Study

Simone et al. (2026) studied this question.

synapsesocial.com/papers/69d9e63478050d08c1b767fehttps://doi.org/10.1007/s42967-025-00557-4
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