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ConceptPDE / Partial Differential Equation

Partial Differential Equation

A mathematical equation describing how a physical quantity varies with multiple independent variables such as time and space, involving an unknown function and its partial derivatives. It is widely used in engineering simulation in fluid mechanics, heat conduction, and electromagnetics, and is the primary application scenario for operator surrogate models.

Timeline (last 90 days)

Oct 12

Gaussian process (GP) solvers return a posterior distribution and can quantify solution uncertainty, rather than merely providing a point estimate as traditional numerical methods do.

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Sep 11

The Navier-Stokes problem involves the core proposition of global regularity for nonlinear equations in the theory of partial differential equations

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Sep 11

The RealPDE competition is a competition under the NeurIPS 2026 framework, focusing on the solving of partial differential equations (PDEs) in scientific machine learning and alignment with real-world data.

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