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SIAM Journal on Numerical Analysis, 2020
In this paper we consider the Runge--Kutta discontinuous Galerkin (RKDG) method to solve linear constant-coefficient hyperbolic equations, where the fourth-order explicit Runge--Kutta time-marching...
Yuan Xu, Chi-Wang Shu, Qiang Zhang
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In this paper we consider the Runge--Kutta discontinuous Galerkin (RKDG) method to solve linear constant-coefficient hyperbolic equations, where the fourth-order explicit Runge--Kutta time-marching...
Yuan Xu, Chi-Wang Shu, Qiang Zhang
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Journal of Scientific Computing, 2020
We propose a numerical method to solve an inverse source problem of computing the initial condition of hyperbolic equations from the measurements of Cauchy data.
T. Le +3 more
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We propose a numerical method to solve an inverse source problem of computing the initial condition of hyperbolic equations from the measurements of Cauchy data.
T. Le +3 more
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INVERSE PROBLEMS FOR LINEAR AND NON-LINEAR HYPERBOLIC EQUATIONS
International Congress of Mathematicans, 2019We consider inverse problems for hyperbolic equations and systems and the solutions of these problems based on the focusing of waves. Several inverse problems for linear equations can be solved using control theory. When the coefficients of the modelling
M. Lassas
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Mathematical methods in the applied sciences, 2019
A periodic problem for the system of hyperbolic equations with finite time delay is investigated. The investigated problem is reduced to an equivalent problem, consisting the family of periodic problems for a system of ordinary differential equations ...
A. Assanova, N. Iskakova, N. Orumbayeva
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A periodic problem for the system of hyperbolic equations with finite time delay is investigated. The investigated problem is reduced to an equivalent problem, consisting the family of periodic problems for a system of ordinary differential equations ...
A. Assanova, N. Iskakova, N. Orumbayeva
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Boundary Feedback Stabilization of a Class of Coupled Hyperbolic Equations With Nonlocal Terms
IEEE Transactions on Automatic Control, 2018This paper solves the problem of boundary feedback stabilization of a class of coupled ordinary differential equations–hyperbolic equations with boundary, trace, and integral nonlocal terms.
Lingling Su, Jun‐min Wang, M. Krstić
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2008
Abstract This chapter is an introduction to hyperbolic equations. The topic is of central importance in general relativity since the Einstein evolution equations are themselves essentially hyperbolic as are the equations of motion of many of the matter fields frequently used. The qualification ‘essentially’ is explained in Chapter 9.
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Abstract This chapter is an introduction to hyperbolic equations. The topic is of central importance in general relativity since the Einstein evolution equations are themselves essentially hyperbolic as are the equations of motion of many of the matter fields frequently used. The qualification ‘essentially’ is explained in Chapter 9.
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2003
Abstract Hyperbolic equations are the easiest scalar second-order equations to classify from the point of view of the Cauchy problem. They occur commonly in practical applications, as is evident from studying the models of Chapter 2.
John Ockendon +3 more
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Abstract Hyperbolic equations are the easiest scalar second-order equations to classify from the point of view of the Cauchy problem. They occur commonly in practical applications, as is evident from studying the models of Chapter 2.
John Ockendon +3 more
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Calculus of Variations and Partial Differential Equations, 2022
Yong-bing Luo, Runzhang Xu, Chao Yang
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Yong-bing Luo, Runzhang Xu, Chao Yang
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