A review of fundamental new results in mathematical theory of geocryological problems obtained in the Institute of Mechanics in Moscow State University. The problems of temperature regime and phase state of permafrost, formation and evolution
of thermokarst are analyzed. In this paper the mathematical models of these problems, computer programs for the models and some numerical calculations for concrete objects and districts are suggested.
The study of complexity-some ideas from mathematical modelling in Climatological extremes in the mountains, Physical background, geomorphological and ecological consequences.
One of the simple lessons from mathematical modelling is that complex behaviour need not have a complex cause. The A. tries to demonstrate this point by elaborating on some of these novel mathematical ideas, described under the headings catastrophes
Choice of mathematical models in geographic research considering alternatives.
This Ph. D. thesis is a first attempt to explore the gap between mathematics and geography. The human geographer or social scientist usually speaks a different language than the mathematician. Concepts such as entropy, diffusion and allometry play
Physical principles of climate mathematical modelling
Atmospheric circulation ; Climate ; Climatic variability ; Forecast ; Global change ; Human impact ; Mathematical model ; Model
In this paper the nature, state and variability of the climate system are described briefly. Of particular importance in open systems such as components of the climatic system is feedback. Mathematical models provide a new way to not only understand
Cartographical display ; Correlation ; Mathematics ; Teaching of geography ; United States of America
This article explains how students can acquire a solid basis for building connections between mathematics and geography by studying correlations on maps and by making scatter diagrams. - (DWG)
Distribution of points ; Mathematics ; Spatial analysis
Standard deviational ellipse is not at all an ellipse. The main focus of the paper is to clarify mathematically the actual shape of this curve and to discuss its applications in spatial analysis. This shape changes from a single circle to double