The valuation of wrong-way risk is a challenging task in the financial industry. In this article, Takayuki Sakuma applies the homotopy analysis method to semi-linear partial differential equations to ...

The beam deformation equation has very wide applications in structural engineering. As a differential equation, it has its own problem concerning existence, uniqueness and methods of solutions. Often, ...

Abstract: The Gaussian homotopy method is a classical optimization approach for solving nonconvex problems. It applies Gaussian smoothing to a given problem, using varying smoothing factors to ...

Abstract: This paper presents a systematic approach for computing local solutions to motion planning problems in nonconvex environments using numerical optimal control techniques. It extends the range ...

The Journal of Computational Mathematics is published bi-monthly. It is an international journal covering all branches of modern computational mathematics such as numerical linear algebra, numerical ...

R. C. Melville, Lj. Trajkovic, S. C. Fang, and L. T. Watson, ``Artificial parameter homotopy methods for the dc operating point problem,'' IEEE Trans. on CAD, vol. 12 ...