As the total value of the global financial market outgrew the value of the real economy,
financial institutions created a global web of interactions that embodies systemic risks …

Partial differential equations are a vital component of the study of mathematicalmodels in
science and engineering. There are various tools and techniques developedby the …

Meshfree approximation methods are a relatively new area of research, and there are only a
few books covering it at present. Whereas other works focus almost entirely on theoretical …

In this paper the authors derive a higher-order shear deformation theory for modeling
functionally graded plates accounting for extensibility in the thickness direction. The explicit …

RBF-generated finite differences (RBF-FD) have in the last decade emerged as a very
powerful and flexible numerical approach for solving a wide range of PDEs. We find in the …

Finite differences provided the first numerical approach that permitted large-scale
simulations in many applications areas, such as geophysical fluid dynamics. As accuracy …

This book is focused on a powerful numerical methodology for solving PDEs to high
accuracy in any number of dimensions: Radial Basis Functions (RBFs). During the past …

Many radial basis function (RBF) methods contain a free shape parameter that plays an
important role for the accuracy of the method. In most papers the authors end up choosing …

Radial basis function (RBF) approximation is an extremely powerful tool for representing
smooth functions in nontrivial geometries since the method is mesh-free and can be …

Solving partial differential equations (PDEs) is a fundamental task for computational
electromagnetic and mechanical wave modeling, which hold utmost significance in remote …