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Schemes for Conservation Laws

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High-Order Schemes for Hyperbolic Conservation Laws Using Young Measures

arXiv:2509.02107v2 Announce Type: replace Abstract: We develop high-order numerical schemes to solve random hyperbolic conservation laws using linear programming. The proposed schemes are high-order extensions of the existing first-order scheme introduced in [{\sc S. Chu, M. Herty, M. Luk\'a\v{c}ov\'a-Medvi{\softd}ov\'a, and Y. Zhou}, SIAM J. Sci. Comput., 48 (2026)], where a novel structure-preserving numerical method using a concept of generalized, measure-valued solutions to solve random...

arXiv CS 8d ago

Compact Runge-Kutta flux reconstruction methods for non-conservative hyperbolic equations

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Famous wildlife coexistence scheme is slipping due to frozen funding

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amerta: A Python Library for Idealized 1D Saint--Venant Dam-Break Simulation

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arXiv Physics 9d ago

Novel physical property preserved methods for stochastic Schr\"{o}dinger--KdV equation

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arXiv CS 1d ago

Trump admin backs off controversial $2B fund, clearing path for stalled GOP immigration bill

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Euronews 9d ago