Partial Differential Equations (PDEs) are mathematical equations that involve unknown multivariate functions and their partial derivatives. They are the cornerstone of modelling a vast array of ...

This is a preview. Log in through your library . Abstract In this paper, we develop a new discontinuous Galerkin (DG) finite element method for solving time dependent partial differential equations ...

The first part of the paper deals with an infinite system of weakly coupled (this means that every equation contains derivatives of only one unknown function ...

In many careers, a person must learn foundational skills before advancing deeper into their profession. Computer programmers need a solid foundation in basic mathematics; nurses must gain clinical ...

Introductory course on using a range of finite-difference methods to solve initial-value and initial-boundary-value problems involving partial differential equations. The course covers theoretical ...

The members of the group Geometric Analysis and Partial Differential Equations have broad interests in analysis and geometry. Active research topics include quasiconformal analysis and partial ...

This course covers the solution of differential equations that arise from problems in engineering and science. Topics include linear equations of first and higher order, systems of linear equations, ...

Calculation: A representation of a network of electromagnetic waveguides (left) being used to solve Dirichlet boundary value problems. The coloured diagrams at right represent the normalized ...

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 ...