An extension of A-stability to alternating direction implicit methods [PDF]
An alternating direction implicit (ADI) scheme was constructed by the method of approximate factorization. An A-stable linear multistep method (LMM) was used to integrate a model two-dimensional hyperbolic-parabolic partial differential equation ...
Beam, R. M., Warming, R. F.
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Hyperboloidal evolution of test fields in three spatial dimensions
, 2010 We present the numerical implementation of a clean solution to the outer boundary and radiation extraction problems within the 3+1 formalism for hyperbolic partial differential equations on a given background. Our approach is based on compactification at
Anıl Zenginoğlu +8 more
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A result of convergence for a mono-dimensional two-velocities lattice Boltzmann scheme
, 2019 We consider a mono-dimensional two-velocities scheme used to approximate the solutions of a scalar hyperbolic conservative partial differential equation.
Caetano, Filipa +2 more
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Discretely exact derivatives for hyperbolic PDE-constrained optimization problems discretized by the discontinuous Galerkin method [PDF]
, 2013 This paper discusses the computation of derivatives for optimization problems governed by linear hyperbolic systems of partial differential equations (PDEs) that are discretized by the discontinuous Galerkin (dG) method.
Bui-Thanh, Tan +3 more
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On the iterated Crank-Nicolson for hyperbolic and parabolic equations in numerical relativity
, 2006 The iterated Crank-Nicolson is a predictor-corrector algorithm commonly used in numerical relativity for the solution of both hyperbolic and parabolic partial differential equations.
E. C. Du-Fort +7 more
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Robust control of systems with hyperbolic partial differential equations [PDF]
, 2022 Pierre Apkarian, Dominikus Noll
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Implicit methods for the simple wave equation [PDF]
, 1984 A family of finite difference methods is developed for the numerical solution of the simple wave equation. Local truncation errors are cal- culated for each member of the family and each is analyzed for stability.
Tirmizi, S I A, Twizell, E H
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Novel Exact Solutions of the Extended Shallow Water Wave and the Fokas Equations
ITM Web of Conferences, 2018 In this study, a Sine-Gordon expansion method for obtaining novel exact solutions of extended shallow water wave equation and Fokas equation is presented. All of the equations which are under consideration consist of three or four variable.
DURAN Serbay +2 more
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Finite Difference Method for Solving Fractional Hyperbolic Partial Differential Equations
Ibn Al-Haitham Journal for Pure and Applied Sciences, 2017 In this paper, the finite difference method is used to solve fractional hyperbolic partial differential equations, by modifying the associated explicit and implicit difference methods used to solve fractional partial differential equation.
G. J. Mohammed
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