Cauchy problems and inverse problems in partial differential equations (PDEs) represent a class of challenging mathematical models where one seeks to determine unknown data inside a domain from ...

TEL AVIV, Israel, Sept. 16, 2025 (GLOBE NEWSWIRE) -- LightSolver, inventors of a new laser-based computing paradigm, today announced it has achieved a major technological breakthrough: the ability to ...

Partial Differential Equations (PDEs) are central to both pure and applied mathematics. Any quantity which changes in space and time will satisfy certain partial differential equations because the ...

Under the hood, multiphysics software based on the finite-element (FE) method mathematically models complex engineering and scientific problems in inductive heating, heat transfer, and ...

The Hardy-Littlewood-Sobolev (HLS) type system, \[ \begin{cases} (-\bigtriangleup)^{k} u = v^q, \,\,u > 0,\,\, \mbox{ in } R^n,\\ (-\bigtriangleup)^{k} v = u^p, \,\,v ...