On a hyperbolic PDE describing the forward evolution of a class of randomly alternating systems

1990 ◽  
Author(s):  
E.I. Verriest
Keyword(s):  
Hyperbolic Pde ◽  
Alternating Systems

scholarly journals Quadrature Integration Techniques for Random Hyperbolic PDE Problems

Mathematics ◽  
2021 ◽  
Vol 9 (2) ◽  
pp. 160
Author(s):  
Rafael Company ◽  
Vera N. Egorova ◽  
Lucas Jódar
Keyword(s):  
Numerical Methods ◽  
Laplace Transform ◽  
Quadrature Rule ◽  
Inverse Laplace Transform ◽  
Process Time ◽  
Efficient Computation ◽  
Hyperbolic Pde ◽  
Numerical Convergence ◽  
Laplace Transform Technique ◽  
Integration Techniques

In this paper, we consider random hyperbolic partial differential equation (PDE) problems following the mean square approach and Laplace transform technique. Randomness requires not only the computation of the approximating stochastic processes, but also its statistical moments. Hence, appropriate numerical methods should allow for the efficient computation of the expectation and variance. Here, we analyse different numerical methods around the inverse Laplace transform and its evaluation by using several integration techniques, including midpoint quadrature rule, Gauss–Laguerre quadrature and its extensions, and the Talbot algorithm. Simulations, numerical convergence, and computational process time with experiments are shown.

Development and implementation of Gridgen's hyperbolic PDE and extrusion methods

2000 ◽  
Author(s):  
John Steinbrenner ◽  
Nick Wyman ◽  
John Chawner
Keyword(s):  
Hyperbolic Pde

scholarly journals Role-Oriented Code Generation in an Engine for Solving Hyperbolic PDE Systems

2020 ◽  
pp. 111-128
Author(s):  
Jean-Matthieu Gallard ◽  
Lukas Krenz ◽  
Leonhard Rannabauer ◽  
Anne Reinarz ◽  
Michael Bader
Keyword(s):  
Code Generation ◽  
Hyperbolic Pde ◽  
Pde Systems

Boundary observer-based control for hyperbolic PDE–ODE cascade systems with stochastic jumps

Automatica ◽  
2020 ◽  
Vol 119 ◽  
pp. 109089
Author(s):  
Yan Zhao ◽  
Jianbin Qiu ◽  
Shengyuan Xu ◽  
Wenguo Li ◽  
Junli Wu
Keyword(s):  
Hyperbolic Pde ◽  
Cascade Systems

scholarly journals Sampled-data observers for delay systems and hyperbolic PDE–ODE loops

Automatica ◽  
2021 ◽  
Vol 123 ◽  
pp. 109349
Author(s):  
Tarek Ahmed-Ali ◽  
Iasson Karafyllis ◽  
Fouad Giri
Keyword(s):  
Delay Systems ◽  
Sampled Data ◽  
Hyperbolic Pde

Robust H∞ Control for Nonlinear Hyperbolic PDE Systems Based on the Polynomial Fuzzy Model

2019 ◽  
pp. 1-13
Author(s):  
Shun-Hung Tsai ◽  
Jun-Wei Wang ◽  
En-Shou Song ◽  
Hak-Keung Lam
Keyword(s):  
Fuzzy Model ◽  
Hyperbolic Pde ◽  
Pde Systems
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