Results 31 to 40 of about 571 (177)
, 2021 The Fourier Pseudospectral time-domain (Fourier PSTD) method and the nodal Discontinuous Galerkin (DG) method are both able to effectively solve the Linearized Euler Equations (LEE).
Cosnefroy, Matthias +1 more
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Journal of Geophysical Research: Oceans, Volume 131, Issue 4, April 2026.Abstract We investigate how a topographic slope impacts eddy diffusivities in a two‐layer quasi‐geostrophic model. There are asymmetric effects of retrograde slopes, where the layer interface and the topography tilt in the same direction, and prograde slopes, where the interface and topography tilt in opposite directions.
Miriam F. Sterl +4 more
wiley +1 more source
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Numerical Methods for Partial Differential Equations, 2014 In this article, we propose a Fourier pseudospectral method for solving the generalized improved Boussinesq equation. We prove the convergence of the semi‐discrete scheme in the energy space. For various power nonlinearities, we consider three test problems concerning the propagation of a single solitary wave, the interaction of two solitary waves and ...
Borluk, Handan, Muslu, Gulcin M.
openaire +3 more sources
Estimating Bottom Topography in Shallow Water Flows
Journal of Geophysical Research: Machine Learning and Computation, Volume 3, Issue 2, April 2026.Abstract We present two methods to estimate bottom topography in a shallow water flow using only surface deformation measurements. One is based on Physics‐Informed Neural Networks (PINNs) and the other on the Adjoint State Method. We test both methods using synthetic data in 1D and 2D cases. Both are able to successfully reconstruct not only the bottom
L. Pancotto, P. Clark Di Leoni
wiley +1 more source
Breaking Barriers in High‐Order Spectral Methods: The Intrinsic Matrix Approach
International Journal for Numerical Methods in Engineering, Volume 127, Issue 5, 15 March 2026.ABSTRACT This paper introduces a unified framework in Hilbert spaces for applying high‐order differential operators in bounded domains using Chebyshev, Legendre, and Fourier spectral methods. By exploiting the banded structure of differentiation matrices and embedding boundary conditions directly into the operator through a scaling law relating ...
Osvaldo Guimarães, José R. C. Piqueira
wiley +1 more source
Self‐Creation of Accelerated Temporal Mirrors
Advanced Physics Research, Volume 5, Issue 2, February 2026.The field of temporal analog effects is rapidly emerging and seen as a driver of a paradigm shift in photonics. It promises striking new phenomena but remains experimentally challenging. This work introduces a mechanism that automatically creates a temporal mirror with simple optical means, unlocking practical access to extreme nonlinear dynamics and ...
Oliver Melchert +4 more
wiley +1 more source
Trajectory generation for autonomous unmanned aircraft using inverse dynamics [PDF]
, 2010 The problem addressed in this research is the in-flight generation of trajectories for autonomous unmanned aircraft, which requires a method of generating pseudo-optimal trajectories in near-real-time, on-board the aircraft, and without external ...
Drury, R. G.
core
, 2012 Sloshing occurs when a partially filled tank is subject to external excitation. If the excitation frequency is equal to half of the second-order natural frequency obtained from the linear theory, then second-order resonance may occur.
Borthwick, Alistair G. L. +2 more
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Journal of Mathematics, Volume 2026, Issue 1, 2026.This manuscript examines a reformulation‐based benchmarking system to assess the performance of Physics‐Informed Neural Networks (PINNs) to address the coupled system of nonlinear fractional partial differential equations (fPDEs). The proposed method bypasses the incompatibility between automatic differentiation and nonlocal fractional operators by ...
Muhammad Saad +6 more
wiley +1 more source
Calliope: Pseudospectral shearing magnetohydrodynamics code with a pencil decomposition
, 2022 The pseudospectral method is a highly accurate numerical scheme suitable for turbulence simulations. We have developed an open-source pseudospectral code, \textsc{\textsf{Calliope}}, which adopts the P3DFFT library \citep{Pekurovsky2012} to perform a ...
Kawazura, Y.
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