Madalina Deaconu *†, Samuel Herrmann ‡, INITIAL-BOUNDARY VALUE PROBLEM FOR THE HEAT EQUATION—A STOCHASTIC ALGORITHM, The Annals of Applied Probability, Vol. 28, No. 3 (June 2018), pp. 1943-1976 ...

While the abstract theory available can be applied directly to problems with unbounded domains or zero boundary conditions, many problems arising in applications are in fact initial–boundary value ...

These conditions can be given in the form of initial or boundary conditions. Initial conditions define the values of the dependent variables at the initial stage (e.g. at ), whereas the boundary ...

Boundary value problems for nonlinear partial differential equations form a cornerstone of modern mathematical analysis, bridging theoretical advancements and practical real-world applications.