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This article describes the variational and fixed-node diffusion quantum Monte Carlo methods and how they may be used to calculate the properties of many-electron systems. These stochastic wave-function-based approaches provide a very direct treatment of quantum many-body effects and serve as benchmarks against which other techniques may be compared. They(More)
The concept of GRASS (Geographic Resources Analysis Support System) as an open system has created a favorable environment for integration of process based modeling and GIS. To support this integration a new generation of tools is being developed in the following areas: a) interpolation from multidimensional scattered point data, b) analysis of surfaces and(More)
— Application of spline approximation method to computation and analysis of lidar-based digital elevation models is investigated to determine its accuracy and capability to create surfaces at different levels of detail. Quadtree segmentation that adapts to the spatial heterogeneity of data points makes the method feasible for large data sets. The results(More)
Regularized Spline with Tension (RST) is an accurate, flexible and efficient method for multivariate interpolation of scattered data. This study evaluates its capabilities to interpolate daily and annual mean precipitation in regions with complex terrain. Tension, smoothing and anisotropy parameters are optimized using the cross-validation technique. In(More)
L and surface topography forms the boundary between the solid earth, atmosphere, and hydrosphere. It controls air, water, and mass fluxes; redistributes solar irradiation; and, consequently, has a major influence on physical processes, ecosystems, and human activities. Understanding topography—its character , properties, and human interaction—is, therefore,(More)
We propose a computational framework and strategies for performing tasks necessary for evaluation and optimization of land use management within an advanced GIS modeling environment. Such tasks involve modeling of landscape processes, simulation of impact of human activities on these processes and optimization of preventive measures aimed at creating(More)
Sustainable use of natural resources requires coordination of conservation efforts between a diverse group of individuals and agencies that view and manage the landscape at different scales, from field level by a farmer, to entire watersheds by state or federal agencies. To better support the multilevel management, we propose a methodology for erosion(More)
Over the past two decades, continuum quantum Monte Carlo (QMC) has proved to be an invaluable tool for predicting of the properties of matter from fundamental principles. By solving the Schrödinger equation through a stochastic projection, it achieves the greatest accuracy and reliability of methods available for physical systems containing more than a few(More)
  • Helena Mitasova, Chris Thaxton, Jaroslav Hofierka, Richard Mclaughlin, Amber Moore, Lubos Mitas
  • 2004
A path sampling method is proposed for solving the continuity equations describing mass flows over complex landscape surfaces. The modeled quantities are represented by an ensemble of sampling points which are evolved according to the corresponding Green function. The method enables incorporation of multi-scale/multi-process treatments. It has been used to(More)