9 10 Plant food materials have a very high demand in the consumer market and therefore, improved food products 11 and efficient processing techniques are concurrently being researched in food engineering. In this context, 12 numerical modelling and simulation techniques have a very high potential to reveal fundamentals of the 13 underlying mechanisms involved. However, numerical modelling of pl...

In this paper we consider a meshfree radial basis function approach for the valuation of pricing options with non-smooth payoffs. By taking advantage of parallel architecture, a strongly stable and highly accurate time stepping method is developed with computational complexity comparable to the implicit Euler method implemented concurrently on each processor. This, in collusion with the radial ...

1. Research Student, Department of Mechanical Engineering, School of Engineering, Gautam Buddha University, Greater Noida, Gautam Buddha Nagar, Uttar Pradesh, India 2. Assistant Professor, Department of Mechanical Engineering, School of Engineering, Gautam Buddha University, Greater Noida, Gautam Buddha Nagar, Uttar Pradesh, India; 3. Assistant Professor, Department of Mechanical Engineering, S...

Numerical models of glacier and ice sheet dynamics traditionally employ nite difference or nite element methods. Although these are highly developed and mature methods, they su er from some drawbacks, such as inability to handle complex geometries ( nite di erences) or a costly assembly procedure for nonlinear problems ( nite elements). Additionally, they are mesh-based, and therefore moving do...

Ground water pollution is a serious environmental problem that may damage human health, destroy the ecosystem and cause water shortage. In all situations, we need tool to predict the pollutant distribution in ground water. The only tool that we can use is mathematical modeling. Recently, very intensive efforts have been devoted to develop meshless or element free methods that eliminate the need...

This invited contribution first reviews basic features of multivariate interpolation by radial basis functions, before selected of its advanced topics are addressed, including recent results concerning local polyharmonic spline interpolation. The latter is one main ingredient of a novel class of adaptive meshfree semi-Lagrangian methods for transport problems. The construction of these particle...

In this paper, an overview of the construction of meshfree basis functions is presented, with particular emphasis on moving least-squares approximants, natural neighbour-based polygonal interpolants, and entropy approximants. The use of information-theoretic variational principles to derive approximation schemes is a recent development. In this setting, data approximation is viewed as an induct...

For the best part of 50 years, advances in algorithms and the increasing computing power have made computational fluid dynamics, CFD, a mature discipline. Which are some remaining frontiers of the discipline? It is common knowledge that one of the challenges in fluid simulation continues to be the need to straddle many scales. New computational methods still need to be developed that are able t...

For solving electroencephalographic forward problem, coupled method of finite element method FEM and fast moving least square reproducing kernel method FMLSRKM which is a kind of meshfree method is proposed. Current source modeling for FEM is complicated, so source region is analyzed usingmeshfreemethod. First order of shape function is used for FEM and second order for FMLSRKM because FMLSRKM ...