Results 91 to 100 of about 20,976 (198)

ExaHyPE: An Exascale Hyperbolic PDE Engine

, 2019
ExaHyPE is a hyperbolic PDE engine capable of solving systems of first order hyperbolic PDEs. The project provides a space-tree discretization of the computational domain, higher-order ADER DG schemes and a-posteriorisubcell limiters. The two main applications currently tackled with this engine are long-range seismic risk assessment and the search for ...
Reinarz, Anne, Bader, Michael
openaire   +1 more source

DDR-PINN: A Dynamic Domain–Gradient Reweighting Physics-Informed Neural Network

Applied Sciences
Physics-informed neural networks (PINNs) solve partial differential equations (PDEs) by embedding physical conditions as soft penalties into the loss function.
Shangpeng Lei, Balakayeva Gulnar, Chenghan Yang, Nadezhda Kunicina, Roberts Grants, Uldis Grunde   +5 more
doaj   +1 more source

Hyperbolic Fibrations and PDE

, 2012
2010 Mathematics Subject Classification: 35L10, 35L90. In this note we try to distinguish the hyperbolic fibrations from the Euclidean one with the help of the invariant action of partial differential operators on the fibration. Two examples are given.
openaire   +1 more source

Analytical exact solution of telegraph equation using HPM

Bibechana, 2016
In this paper, exact solutions of different variants of second order hyperbolic telegraph equation are investigated with Homotopy Perturbation Method (HPM).
Jamshad Ahmad, Ghulam Mohiuddin
doaj  

A Novel and Effective Scheme for Solving the Fractional Telegraph Problem via the Spectral Element Method

Fractal and Fractional
The combination of fractional derivatives (due to their global behavior) and the challenges related to hyperbolic PDEs pose formidable obstacles in solving fractional hyperbolic equations.
Tao Liu, Runqi Xue, Bolin Ding, Davron A. Juraev, Behzad Nemati Saray, Fazlollah Soleymani   +5 more
doaj   +1 more source

Machine Learning gravity compactifications on negatively curved manifolds

Journal of High Energy Physics
Constructing the landscape of vacua of higher-dimensional theories of gravity by directly solving the low-energy (semi-)classical equations of motion is notoriously difficult. In this work, we investigate the feasibility of Machine Learning techniques as
G. Bruno De Luca
doaj   +1 more source

Novel exact solutions for PDEs with mixed boundary conditions

Boundary Value Problems
We develop methods for the solution of inhomogeneous Robin-type boundary value problems (BVPs) that arise for certain linear parabolic partial differential equations (PDEs) on a half-line, as well as a second-order generalization.
Mark Craddock, Martino Grasselli, Andrea Mazzoran   +2 more
doaj   +1 more source

Optimal control on a metric graph for a damped linear fractional hyperbolic problem

Results in Control and Optimization
The optimal control of fractional PDEs has been extensively studied in standard domains, but the existence and uniqueness of optimal controls in metric graphs, particularly for hyperbolic equations, remain less explored.
Pasquini Fotsing Soh
doaj   +1 more source

Numerical algorithm based on Haar-Sinc collocation method for solving the hyperbolic PDEs. [PDF]

ScientificWorldJournal, 2014
Pirkhedri A, Javadi HH, Navidi HR.
europepmc   +1 more source