In an attempt to introduce application scientists and graduate students to the exciting topic of
positive definite kernels and radial basis functions, this book presents modern theoretical …

It was a cold January morning in Pittsburgh, Pennsylvania in 1991. I was visiting the ALCOA
Technical Center to present a seminar in their Materials and Manufacturing Division. After …

Positive definite kernels play an increasingly prominent role in many applications such as
scattered data fitting, numerical solution of PDEs, computer experiments, machine learning …

Modelling large-scale wave fields and their interaction with coastal and offshore structures
has become much more feasible over the last two decades with increases in computer …

e-Design is the first book to integrate discussion of computer design tools throughout the
design process. Through this book, the reader will understand... Basic design principles and …

In this paper, a meshless generalized finite difference method (GFDM) is proposed to solve
the time fractional diffusion-wave (TFDW) equations. A second-order temporal discretization …

To the best knowledge of the authors, the numerical resolution of the continuity equation, ie,
the simultaneous achievement of accurate and physically consistent velocity divergence and …

Recent progress in materials science and fabrication technologies, such as additive
manufacturing (AM) or 3D printing, has facilitated the design and production of intricate multi …

In this paper, a generalized finite difference method (GFDM) is proposed and analyzed for
meshless numerical solution of the time-fractional diffusion-wave equation. Two (3− α)-order …

The quasi-brittle response of cohesive-frictional materials in numerical simulations is
commonly represented by softening plasticity or continuum damage models, either …