Results 21 to 30 of about 95,473 (252)
Extended modified cubic B-spline algorithm for nonlinear Burgers' equation
Beni-Suef University Journal of Basic and Applied Sciences, 2016 In this paper, an extended modified cubic B-Spline differential quadrature method is proposed to approximate the solution of the nonlinear Burgers' equation. The proposed method is used in space and a five-stage and four order strong stability-preserving
Mohammad Tamsir +2 more
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Strong Stability Preserving IMEX Methods for Partitioned Systems of Differential Equations [PDF]
Communications on Applied Mathematics and Computation, 2021 AbstractWe investigate strong stability preserving (SSP) implicit-explicit (IMEX) methods for partitioned systems of differential equations with stiff and nonstiff subsystems. Conditions for order p and stage order $$q=p$$ q = p are ...
Izzo, Giuseppe, Jackiewicz, Zdzisław
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Two Barriers on Strong-Stability-Preserving Time Discretization Methods [PDF]
Journal of Scientific Computing, 2002 The authors study systems of ordinary differential equations obtained from the methods of lines applied to the hyperbolic conservation law \[ u_t+ f(u)_x= 0 \] with appropriate initial and boundary conditions. They note that the usual linear stability analysis in not effective for schemes of problems having discontinuous or shock-like solutions.
Steven J. Ruuth, Raymond J. Spiteri
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Ain Shams Engineering Journal, 2022 The modified Burgers’ equation has application in various fields such as explosions and sonic boom theory, propagation of torsional waves in thin circular viscoelastic rod, acoustic waves produced by laser radiations, etc.
Ravneet Kaur +4 more
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Strong-stability-preserving additive linear multistep methods
Mathematics of Computation, 2018 The analysis of strong-stability-preserving (SSP) linear multistep methods is extended to semi-discretized problems for which different terms on the right-hand side satisfy different forward Euler (or circle) conditions. Optimal perturbed and additive monotonicity-preserving linear multistep methods are studied in the context of such problems.
Yiannis Hadjimichael, David I. Ketcheson
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Optimized strong stability preserving IMEX Runge–Kutta methods
Journal of Computational and Applied Mathematics, 2014 We construct and analyze robust strong stability preserving IMplicit-EXplicit Runge-Kutta (IMEX RK) methods for models of flow with diffusion as they appear in astrophysics and in many other fields where equations with similar structure arise. It turns out that besides the optimization of the region of absolute monotonicity, some other properties of ...
Inmaculada Higueras +3 more
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SWEpy: an open-source GPU-accelerated solver for near-field inundation and far-field tsunami modeling [PDF]
Geoscientific Model DevelopmentWe present SWEpy, an open-source Python finite volume (FV) software for solving the shallow water equations (SWEs) on unstructured triangular meshes. The framework combines flexibility and high performance through GPU acceleration and a well-balanced ...
J. Fuenzalida +4 more
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Scientific Reports, 2018 We perform ab initio investigations of the bulk and surface band structures of LaSb and LaBi and resolve the existing disagreements about the topological property of LaSb, considering LaBi as a reference.
Urmimala Dey +3 more
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Ain Shams Engineering Journal, 2018 The present article is concerned with the implementation of the compact finite difference scheme, in the space and the optimal four-stage, order three strong stability-preserving time-stepping Runge-Kutta (SSP-RK43) scheme, in time for computation of one
Brajesh Kumar Singh +2 more
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Energies, 2020 Discontinuous Galerkin (DG) method is a popular high-order accurate method for solving unsteady convection-dominated problems. After spatially discretizing the problem with the DG method, a time integration scheme is necessary for evolving the result ...
Liang Li, Songping Wu
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