Results 21 to 30 of about 13,806 (267)

A finite element method for first-order hyperbolic systems [PDF]

Mathematics of Computation, 1980
A new finite element method is proposed for the numerical solution of a class of initial-boundary value problems for first-order hyperbolic systems in one space dimension. An application of our procedure to a system modeling gas flow in a pipe is discussed. Asymptotic error estimates are derived in the L 2
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A new look at the controllability cost of linear evolution systems with a long gaze at localized data

Comptes Rendus. Mathématique
We revisit the classical issue of the controllability/observability cost of linear first order evolution systems, starting with ODEs, before turning to some linear first order evolution PDEs in several space dimensions, including hyperbolic systems and ...
Bianchini, Roberta, Laheurte, Vincent, Sueur, Frank   +2 more
doaj   +1 more source

Understanding of quasilinear hyperbolic systems through the investigation of their asymptotic solutions

Acta Scientiarum: Technology
The main aim of the study is to deepen understanding of quasilinear hyperbolic systems through the investigation of their asymptotic solutions, with specific objectives related to theoretical analysis, wave dynamics characterization, and practical ...
Dayong Nie
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Difference methods for nonlinear first-order hyperbolic systems of equations [PDF]

Mathematics of Computation, 1970
Two difference methods for approximating some first-order nonlinear hyperbolic differential equations are considered. The methods apply to problems arising in a number of physical applications. Each of the methods is explicit and can be implemented on a computer easily. It is proved that the methods are first-order convergent in the maximum norm.
Shampine, L. F., Thompson, R. J.
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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 solution of special ultra-relativistic Euler equations using central upwind scheme

Results in Physics, 2018
This article is concerned with the numerical approximation of one and two-dimensional special ultra-relativistic Euler equations. The governing equations are coupled first-order nonlinear hyperbolic partial differential equations.
Tayabia Ghaffar, Muhammad Yousaf, Shamsul Qamar   +2 more
doaj   +1 more source

ENERGY ESTIMATES FOR WEAKLY HYPERBOLIC SYSTEMS OF THE FIRST ORDER [PDF]

Communications in Contemporary Mathematics, 2005
For a class of first-order weakly hyperbolic pseudo-differential systems with finite time degeneracy, well-posedness of the Cauchy problem is proved in an adapted scale of Sobolev spaces. These Sobolev spaces are constructed in correspondence to the hyperbolic operator under consideration, making use of ideas from the theory of elliptic boundary value
Dreher, M, Witt, Ingo
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RaMBat: Accurate identification of medulloblastoma subtypes from diverse data sources with severe batch effects

Molecular Oncology, EarlyView.
To integrate multiple transcriptomics data with severe batch effects for identifying MB subtypes, we developed a novel and accurate computational method named RaMBat, which leveraged subtype‐specific gene expression ranking information instead of absolute gene expression levels to address batch effects of diverse data sources.
Mengtao Sun, Jieqiong Wang, Shibiao Wan
wiley   +1 more source

Revisiting the nonlinear Gaussian noise model for hybrid fiber spans

Intelligent and Converged Networks, 2021
We rederive from first principles and generalize the theoretical framework of the nonlinear Gaussian noise model to the case of coherent optical systems with multiple fiber types per span and ideal Nyquist spectra.
Ioannis Roudas, Jaroslaw Kwapisz, Xin Jiang   +2 more
doaj   +1 more source

Dynamic Boundary Stabilization of First Order Hyperbolic Systems [PDF]

, 2016
In this chapter, we address the problem of the dynamic boundary stabilization of linear, quasilinear and LPV first-order hyperbolic systems. We provide sufficient conditions for the exponential stability for this class of infinite dimensional systems by means of Lyapunov based techniques and matrix inequalities.
Castillo, Felipe, Witrant, Emmanuel, Prieur, Christophe, Dugard, Luc   +3 more
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