Results 21 to 30 of about 5,633,617 (278)
Advances in Difference Equations, 2021 In this article, we consider a temporally second-order unconditionally energy stable computational method for the Allen–Cahn (AC) equation with a high-order polynomial free energy potential.
Junseok Kim, Hyun Geun Lee
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Unconditionally Strong Stability Preserving Extensions of the TR-BDF2 Method [PDF]
Journal of Scientific Computing, 2016 zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Luca Bonaventura, Alessandro Della Rocca
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Some notes on summation by parts time integration methods
Results in Applied Mathematics, 2019 Some properties of numerical time integration methods using summation by parts (SBP) operators and simultaneous approximation terms are studied. These schemes can be interpreted as implicit Runge-Kutta methods with desirable stability properties such as ...
Hendrik Ranocha
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Strong stability preserving explicit peer methods
Journal of Computational and Applied Mathematics, 2016 zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Zoltán Horváth +2 more
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DQM Based on the Modified Form of CTB Shape Functions for Coupled Burgers’ Equation in 2D and 3D [PDF]
International Journal of Mathematical, Engineering and Management Sciences, 2019 This work concerns for solving of coupled Burgers’ equations (CBEs) in 2D and 3D via DQM based on cubic trigonometric B-spline (CTB) shape functions.
Mohammad Tamsir, Neeraj Dhiman
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A New Approach for the Black–Scholes Model with Linear and Nonlinear Volatilities
Mathematics, 2019 Since financial engineering problems are of great importance in the academic community, effective methods are still needed to analyze these models. Therefore, this article focuses mainly on capturing the discrete behavior of linear and nonlinear Black ...
Seda Gulen, Catalin Popescu, Murat Sari
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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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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 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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