Results 31 to 40 of about 27,675 (302)
Stability of Discontinuous Galerkin Spectral Element Schemes for Wave Propagation when the Coefficient Matrices have Jumps [PDF]
, 2020 We use the behavior of the L2 norm of the solutions of linear hyperbolic equations with discontinuous coefficient matrices as a surrogate to infer stability of discontinuous Galerkin spectral element methods (DGSEM).
Gassner, Gregor J., +5 more
core +1 more source
On Finite/Fixed-Time Stability Theorems of Discontinuous Differential Equations
Mathematics, 2022 We investigated the finite/fixed-time stability (FNTS/FXTS) of discontinuous differential equations (DDEs) in this paper. To cope with differential equations that were discontinuous on the right-hand side, we utilized the Filippov solution, which is ...
Luke Li, Dongshu Wang
doaj +1 more source
, 2006 The existence of a mean-square continuous strong solution is established for vector-valued Itö stochastic differential equations with a discontinuous drift coefficient, which is an increasing function, and with a Lipschitz continuous diffusion ...
Nikolaos Halidias +3 more
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, 2010 This paper applies bilinear immersed finite elements (IFEs) in the interior penalty discontinuous Galerkin (DG) methods for solving a second order elliptic equation with discontinuous coefficient.
He, X +8 more
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Mean field stochastic differential equations with a discontinuous diffusion coefficient
, 2023 We study $\mathbb{R}^d$-valued mean field stochastic differential equations with a diffusion coefficient depending on the $L_p$-norm of the process in a discontinuous way. We show that under a strong drift there exists a unique global strong solution and
Nykänen, Jani
core
VISCOSITY SOLUTIONS OF HAMILTON–JACOBI EQUATIONS WITH DISCONTINUOUS COEFFICIENTS [PDF]
Journal of Hyperbolic Differential Equations, 2007 We consider Hamilton–Jacobi equations, where the Hamiltonian depends discontinuously on both the spatial and temporal location. Our main result is the existence of viscosity solution to the Cauchy problem, and that the front tracking algorithm yields an L∞ contractive semigroup.
COCLITE, Giuseppe Maria, RISEBRO N. H.
openaire +2 more sources
On the Solution of a Class of Discontinuous Sturm-Liouville Problems
Communications in Advanced Mathematical SciencesThis study examines boundary value problems consisting of a second-order differential equation with discontinuous coefficients and boundary conditions.
Döne Karahan +2 more
doaj +1 more source
White Matter Microstructural Abnormalities in Neonatal Onset Genetic Epilepsy
Annals of Clinical and Translational Neurology, EarlyView.ABSTRACT Objective Recent evidence indicates that epilepsy is associated with abnormal white matter. If seizures alter white matter, then the impact upon network function, epileptogenesis, and cognition could be pronounced in neonates undergoing rapid developmental myelination. Neonates with epilepsy due to nonstructural genetic causes provide a unique
Amanda G. Sandoval Karamian +8 more
wiley +1 more source
Error estimates for an augmented method for one-dimensional elliptic interface problems
Advances in Difference Equations, 2018 Elliptic interface problems have many important scientific and engineering applications. Interface problems are encountered when the computational domain involves multi-materials with different conductivities, densities, or permeability.
Qian Zhang +3 more
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Multilevel Preconditioners for Reaction-Diffusion Problems with Discontinuous Coefficients [PDF]
Journal of Scientific Computing, 2015 25 pages, 7 figures.
Tzanio V. Kolev, Jinchao Xu, Yunrong Zhu
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