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New Features in the Second Version of the Cadabra Computer Algebra System
In certain scientific domains, there is a need for tensor operations. To facilitate tensor computations, computer algebra systems are …
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Implementing a Method for Stochastization of One-Step Processes in a Computer Algebra System
When modeling such phenomena as population dynamics, controllable flows, etc., a problem arises of adapting the existing models to a …
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Regularized Computation of Oscillatory Integrals with Stationary Points
Ability to calculate integrals of rapidly oscillating functions is crucial for solving many problems in optics, electrodynamics, …
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Simple Model of Nonlinear Spin Waves in Graphene Structures
A series of theoretical and experimental works is known which investigated the magnetic properties of graphene structures. This is due, …
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Two Formalisms of Stochastization of One-Step Models
To construct realistic mathematical models from the first principles, the authors suggest using the stochastization method. In a number …
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Application of Functional Integrals to Stochastic Equations
Representing a probability density function (PDF) and other quantities describing a solution of stochastic differential equations by a …
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Guided Modes of a Planar Gradient Waveguide
The mathematical model of light propagation in a planar gradient optical waveguide consists of the Maxwell’s equations …
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Using two Types of Computer Algebra Systems to Solve Maxwell Optics Problems
To synthesize Maxwell optics systems, the mathematical apparatus of tensor and vector analysis is generally employed. This mathematical …
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