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Result

Thermal conductivity of partially ionized gases

of the Boltzmann integro-differential equations. The Chapman-Enskog method generalized for the multicomponent mixtures is the theoretical base for the solution of the Boltzmann equations system....

JA - Elektronika a optoelektronika, elektrotechnika

  • 2007
  • D
Result

Accurate Density-Weighted Convolution for Point-Mass Filter and Predictor

This paper deals with the Bayesian state estimation of nonlinear stochastic dynamic systems. The stress is laid on the numerical solution to the Chapman-Kolmogorov equation, which governs the prediction step of the...

Automation and control systems

  • 2021
  • Jimp
  • Link
Result

Mapping method of group classification

We revisit the entire framework of group classification of differential equations. After introducing the notion of weakly similar classes of differential equations, we develop the mapping method of group classifica...

Pure mathematics

  • 2022
  • Jimp
  • Link
Result

Design of Efficient Point-Mass Filter for Linear and Nonlinear Dynamic Models

his letter deals with the state estimation of nonlinear stochastic dynamic systems in the Bayesian framework. The emphasis is laid on the numerical solution to the Chapman-Kolmogorov equation by the widely-used poi...

Automation and control systems

  • 2023
  • Jimp
  • Link
Result

On harmonic morphisms for Kolmogorov equation

Solving of Kolmogorov equation based on the harmonic morphisms...

BA - Obecná matematika

  • 2004
  • D
Result

Data-Augmented Numerical Integration in State Prediction: Rule Selection

This paper deals with the state prediction of nonlinear stochastic dynamic systems. The emphasis is laid on a solution to the integral Chapman-Kolmogorov equation by a deterministic-integration-rule-based point-mas...

Automation and control systems

  • 2024
  • D
  • Link
Result

MOMENT EQUATIONS FOR STOCHASTIC SYSTEM SPECIAL KIND AS INSTRUMENT IN APPLY PROBLEM

solution of systems of nonlinear differential and difference equations, the right part in the presence of jumps in solutions. For a system of differential equations with random processes are inve...

Applied mathematics

  • 2022
  • Jimp
  • Link
Result

Design of Efficient Point-Mass Filter with Terrain Aided Navigation Illustration

This paper deals with state estimation of stochastic models with linear state dynamics, continuous or discrete in time. The emphasis is laid on a numerical solution to the state prediction by the time-update step of the grid-point-based point-mass fi...

Automation and control systems

  • 2023
  • D
  • Link
Result

Reliability simulation of industrial system

of the system by a human dispatcher and its corresponding changeof the system availability...

JS - Řízení spolehlivosti a kvality, zkušebnictví

  • 2007
  • D
Result

New patterns of travelling waves in the generalized Fisher-Kolmogorov equation

We prove the existence and uniqueness of a family of travelling waves in a degenerate (or singular) quasilinear parabolic problem that may be regarded as a generalization of the semilinear Fisher- Kolmogorov-Petrovski-Piscounov equation<...

BA - Obecná matematika

  • 2016
  • Jx
  • Link
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