The boundary element method (BEM) provides a robust framework for solving linear partial differential equations by transforming the problem domain into integrals over its boundary. This technique is ...

Boundary integral equation (BIE) methods have emerged as a robust computational framework for addressing problems in elasticity analysis by reformulating partial differential equations into equivalent ...

We discuss the numerical solution of a class of second-kind integral equations in which the integral operator is not compact. Such equations arise, for example, when boundary integral methods are ...

Multi-step methods are described for first kind singular Volterra integral equations. Methods of order three are constructed and illustrated with a numerical example. Journal Information Journal of ...

Numerical solution of Fredholm and Volterra integral equations. Boundary integral equations. Greens functions. Boundary element and singularity methods. Vortex methods. Free boundary problems.

Researched Variational Path Integral method as a team member of the Cyber Chem project group. Implemented one of the flavors of Quantum Monte Carlo method (Variational Path Integral simulation) on ...