A multiresolution adaptive grid method for solving the generalized probability density equation in stochastic dynamic analysis
From MaRDI portal
Publication:2141539
DOI10.1007/s00707-022-03183-wOpenAlexW4225153964MaRDI QIDQ2141539
Xun'an Zhang, Tianlong Wang, Shixuan Yang
Publication date: 25 May 2022
Published in: Acta Mechanica (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1007/s00707-022-03183-w
Numerical and other methods in solid mechanics (74Sxx) Numerical methods for partial differential equations, initial value and time-dependent initial-boundary value problems (65Mxx) Hyperbolic equations and hyperbolic systems (35Lxx)
Cites Work
- A Galerkin-based formulation of the probability density evolution method for general stochastic finite element systems
- Predicting stochastic characteristics of generalized eigenvalues via a novel sensitivity-based probability density evolution method
- A perturbation-based stochastic nonlinear beam element formulation using the B-spline wavelet on the interval finite element method
- The number theoretical method in response analysis of nonlinear stochastic structures
- Monotonicity preserving weighted essentially non-oscillatory schemes with increasingly high order of accuracy
- \textit{A priori} error estimation for the stochastic perturbation method
- Efficient implementation of weighted ENO schemes
- Probability transformation method for the evaluation of derivative, integral and Fourier transform of some stochastic processes
- Finite difference/spectral approximations for the time-fractional diffusion equation
- Finite volume schemes of very high order of accuracy for stiff hyperbolic balance laws
- An improved weighted essentially non-oscillatory scheme for hyperbolic conservation laws
- Probability density evolution method for dynamic response analysis of structures with uncertain parameters
- Finite difference approximations for two-sided space-fractional partial differential equations
- The stochastic central difference method in structural dynamics
- Total variation diminishing Runge-Kutta schemes
- The Lifting Scheme: A Construction of Second Generation Wavelets
- An Explicit Finite Difference Method and a New von Neumann-Type Stability Analysis for Fractional Diffusion Equations
- High order finite volume schemes based on reconstruction of states for solving hyperbolic systems with nonconservative products. Applications to shallow-water systems
- Dynamic response and reliability analysis of structures with uncertain parameters
- Second-generation wavelet collocation method for the solution of partial differential equations
This page was built for publication: A multiresolution adaptive grid method for solving the generalized probability density equation in stochastic dynamic analysis