Eigenvalue problems are a cornerstone of modern applied mathematics, arising in diverse fields from quantum mechanics to structural engineering. At their heart, these problems seek scalar values and ...

Spectral methods are very efficient numerical algorithms for solving partial differential equations in relatively simple geometries. The numerical errors introduced by spectral algorithms typically ...

Parabolic partial differential equations (PDEs) are fundamental in modelling a wide range of diffusion processes in physics, finance and engineering. The numerical approximation of these equations ...

Numerical methods are the backbone of modern engineering and science. They provide computational techniques to approximate solutions for mathematical problems that are too complex, time-consuming, or ...

You will be redirected to our submission process. Phase-change phenomena involving heat and mass transfer are fundamental to numerous engineering applications, such as cooling systems, advanced ...

Many problems in visual computing, robotics, and mechanics lack exact analytical solutions. Numerical computing provides powerful techniques to approximate these solutions using computational methods, ...

Abstract: Direct numerical simulation (DNS) results is reported here, without modifying the governing Navier-Stokes equation by removing all sources of errors due to ...