Numerical Computational Analysis

Numerical analysis and computational mathematics involve developing and analyzing computer methods to solve mathematical problems arising in scientific areas. This field combines numerical analysis, symbolic computations, and computer graphics to simplify setting up, solving, and interpreting complex mathematical models of the real world.

Related Studies:

1. A generalized optimal fourth-order finite difference scheme for a 2D Helmholtz equation with the perfectly matched layer boundary condition
2. An optimal 13-point finite difference scheme for a 2D Helmholtz equation with a perfectly matched layer boundary condition
3. A fourth-order optimal finite difference scheme for the Helmholtz equation with PML
4. Efficient and accurate numerical simulation of acoustic wave propagation in a 2D heterogeneous media
5. A mollified marching solution of an inverse ablation-type moving boundary problem
6. Estimation of unknown boundary functions in an inverse heat conduction problem using a mollified marching scheme
7. Proportional factors estimation in an IHCP
8. A Stable Numerical Solution of an Inverse Moving Boundary Problem of Heat Conduction Using Discrete Mollification Approach
9. A stable numerical solution of a class of semi-linear Cauchy problems