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math.OC2026
Continuous-time analysis and algorithms for linear and convex quadratic programs via exactly solvable differential inclusions
Gabriel P. Langlois, Akwum Onwunta, Jérôme Darbon
Linear and convex quadratic programs are fundamental problems in optimization. While many methods have been developed for solving these programs in large-scale applications, to our…
math.NA2026
Exact Total Variation Minimizers as Non-Oscillatory Limiters in High-Order Methods for Conservation Laws
Gabriel P. Langlois, Jerome Darbon, Rongjie Lai +2
High-order numerical methods for conservation laws can generate spurious oscillations near discontinuities. We propose to suppress these oscillations by post-processing the numeric…