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Article
Nonlinear volterra functional equations and linear parabolic differential systems
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Article
The Ilstow and Feynman integrals
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Article
Approximations to certain Feynman integrals
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Article
Analytic Feynman integral solutions of an integral equation related to the Schroedinger equation
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Chapter and Conference Paper
Unbounded Feynman integrable functionals defined in terms of analytic functions
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Article
Open AccessModeling the Subsurface Structure of Sunspots
While sunspots are easily observed at the solar surface, determining their subsurface structure is not trivial. There are two main hypotheses for the subsurface structure of sunspots: the monolithic model and ...
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Article
Constructing Semi-Empirical Sunspot Models for Helioseismology
One goal of helioseismology is to determine the subsurface structure of sunspots. In order to do so, it is important to understand first the near-surface effects of sunspots on solar waves, which are dominant....
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Article
Open AccessConstructing and Characterising Solar Structure Models for Computational Helioseismology
In local helioseismology, numerical simulations of wave propagation are useful to model the interaction of solar waves with perturbations to a background solar model. However, the solution to the linearised eq...
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Article
Magnetic Flux Transport at the Solar Surface
After emerging to the solar surface, the Sun’s magnetic field displays a complex and intricate evolution. The evolution of the surface field is important for several reasons. One is that the surface field, and...
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Chapter
Magnetic Flux Transport at the Solar Surface
After emerging to the solar surface, the Sun’s magnetic field displays a complex and intricate evolution. The evolution of the surface field is important for several reasons. One is that the surface field, and...
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Article
The nature of solar brightness variations
Determining the sources of solar brightness variations 1,2 , often referred to as solar noise 3 , is important because solar no...
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Article
Open AccessThe Global Solar Dynamo
A brief summary of the various observations and constraints that underlie solar dynamo research are presented. The arguments that indicate that the solar dynamo is an alpha-omega dynamo of the Babcock-Leighton...