Tag: partial differential equations

A new mathematical analysis establishes a general energy decay result for a thermoelastic Bresse system with two type III thermal ...

A new Taylor series-based iterative method approximates solutions of fourth-order parabolic PDEs governing beam vibration with near-exact accuracy in only ...

Researchers showed that reducing the state space of a linear-quadratic optimal control problem automatically induces an equivalent reduced control space, ...

A new collective variable framework reduces the Kuramoto–Sivashinsky equation to six tractable evolution equations for amplitude, temporal position, width, chirp, ...

Researchers have derived an explicit series solution for Poisson's equation with Dirichlet boundary conditions in a right-isosceles triangle, providing a ...

Mathematicians at Kyoto University and the German Jordanian University have proven that uniform water flows in steep channels are unstable ...

A study of 141 triple-negative breast cancer patients shows that advection terms in mathematical models best capture tumor cell movement ...

A major new review argues that classical numerical methods and machine learning are epistemologically distinct tools for solving partial differential ...

Researchers have developed QuanONet, a quantum neural operator proven to achieve quadratic expressivity that outperforms quantum baselines and matches classical ...