Meromorphic function theory occupies a central position in the analysis of complex differential equations, uniting classical value‐distribution methods with modern studies of integrability and dynamic ...

Formal power series solutions underpin much of modern analysis of differential and difference equations, offering algebraic expansions that satisfy equations term by term even when actual convergence ...

The team has improved the capabilities of physics-informed neural networks (PINNs), a type of artificial intelligence that incorporates physical laws into the learning process. Researchers from the ...

Luis Caffarelli has won the 2023 Abel prize, unofficially called the Nobel prize for mathematics, for his work on a class of equations that describe many real-world physical systems, from melting ice ...