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most citedpETNNs: Partial Evolutionary Tensor Neural Networks for Solving Time-dependent Partial Differential Equations

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math.NA2025

SPIKE: Stable Physics-Informed Kernel Evolution Method for Solving Hyperbolic Conservation Laws

Hua Su, Lei Zhang, Jin Zhao

We introduce the Stable Physics-Informed Kernel Evolution (SPIKE) method for numerical computation of inviscid hyperbolic conservation laws. SPIKE resolves a fundamental paradox: h…