Results 61 to 70 of about 571 (177)
Solving a class of Hamilton-Jacobi-Bellman equations using pseudospectral methods [PDF]
, 2018 summary:This paper presents a numerical approach to solve the Hamilton-Jacobi-Bellman (HJB) problem which appears in feedback solution of the optimal control problems.
Shamsi, Mostafa +2 more
core +1 more source
Managing Induced Seismicity Risks From Enhanced Geothermal Systems: A Good Practice Guideline
Reviews of Geophysics, Volume 62, Issue 4, December 2024.Abstract Geothermal energy is a green source of power that could play an important role in climate‐conscious energy portfolios; enhanced geothermal systems (EGS) have the potential to scale up exploitation of thermal resources. During hydraulic fracturing, fluids injected under high‐pressure cause the rock mass to fail, stimulating fractures that ...
Wen Zhou +7 more
wiley +1 more source
Silicon Photonic Filters: A Pathway from Basics to Applications
Advanced Photonics Research, Volume 5, Issue 10, October 2024.The proposed review summarizes the principle of silicon photonic filtering, from the modeling strategies to the target applications, relating this analysis to the silicon photonics market growth. Particularly, the simulation approaches, the tuning mechanism, and the filtering elements are investigated with a view of trending market sectors, such as ...
Nabarun Saha +4 more
wiley +1 more source
A New Explicit Symplectic Fourier Pseudospectral Method for Klein-Gordon-Schrödinger Equation
Advances in Applied Mathematics and Mechanics, 2018 Summary: In this paper, we propose an explicit symplectic Fourier pseudospectral method for solving the Klein-Gordon-Schrödinger equation. The key idea is to rewrite the equation as an infinite-dimensional Hamiltonian system and discrete the system by using Fourier pseudospectral method in space and symplectic Euler method in time.
Yang, Yanhong +3 more
openaire +2 more sources
Sparse pseudospectral approximation method
, 2012 Multivariate global polynomial approximations – such as polynomial chaos or stochastic collocation methods – are now in widespread use for sensitivity analysis and uncertainty quantification.
Constantine, Paul G. +2 more
core
nonlinear partial differential equations
, 2013 : Radial basis function-Pseudospectral method and Fourier Pseudospectral (FPS) method are extended for stiff nonlinear partial differential equations with a particular emphasis on the comparison of the two methods.
Sardar Ali, Marjan Uddin, Rbf-ps Method
core
Sum-accelerated pseudospectral methods: the Euler-accelerated sinc algorithm [PDF]
, 1991 Pseudospectral discretizations of differential equations are much more accurate than finite differences for the same number of grid points N. The reason is that derivatives are approximated by a weighted sum of all N values of u(xi), rather than just ...
Boyd, John P., John P. Boyd
core +1 more source
More efficient time integration for Fourier pseudospectral DNS of incompressible turbulence
, 2020 Time integration of Fourier pseudospectral DNS is usually performed using the classical fourth‐order accurate Runge‐Kutta method or other second‐ or third‐order methods, with a fixed step size. We investigate the use of higher‐order Runge‐Kutta pairs and
Ketcheson, David I. +7 more
core +1 more source
, 2015 A novel methodology combining Fourier pseudospectral and immersed boundary methods - IMERSPEC - has been developed for heat transfer problems, using Navier-Stokes, mass conservation and energy equations for incompressible flows.
Kinoshita, Denise
core +1 more source
Advances in Applied Mathematics and Mechanics, 2019 Summary: The Degasperis-Procesi (DP) equation is split into a system of a hyperbolic equation and an elliptic equation. For the hyperbolic equation, we use an optimized finite difference weighted essentially non-oscillatory (OWENO) scheme. New smoothness measurement is presented to approximate the typical shockpeakon structure in the solution to the DP
Guo, Yunrui +4 more
openaire +2 more sources