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Journal of Computational and Applied Mathematics, ISSN 0377-0427, 09/2019, p. 112500
Journal Article
Journal of Computational and Applied Mathematics, ISSN 0377-0427, 12/2014, Volume 272, pp. 116 - 140
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... 
Strong stability preserving | IMEX Runge–Kutta | Double-diffusive convection | Stellar convection and pulsation | Total variation diminishing | Numerical methods | IMEX Runge-Kutta | MATHEMATICS, APPLIED | NUMERICAL-SOLUTION | BOUNDEDNESS | GENERAL MONOTONICITY | ABSOLUTE MONOTONICITY | CONTRACTIVITY
Journal Article
Journal of Computational Physics, ISSN 0021-9991, 05/2012, Volume 231, Issue 9, pp. 3561 - 3586
Journal Article
Mathematical Methods in the Applied Sciences, ISSN 0170-4214, 08/2018, Volume 41, Issue 12, pp. 4376 - 4390
A fully discrete local discontinuous Galerkin (LDG) method coupled with 3 total variation diminishing Runge‐Kutta time‐marching schemes, for solving a... 
error estimate | Runge‐Kutta | total variation diminishing | carburizing | local discontinuous Galerkin | Runge-Kutta | FICK 2ND LAW | MATHEMATICS, APPLIED | SCALAR CONSERVATION-LAWS | EQUATIONS | DIFFUSION | SIMULATION | Finite element method | Computer simulation | Time marching | Mathematical models | Galerkin method | Nickel | Carburizing | Copper
Journal Article
Ain Shams Engineering Journal, ISSN 2090-4479, 12/2015, Volume 6, Issue 4, pp. 1217 - 1223
This paper deals with the numerical solution of initial value problems (IVPs), for systems of ordinary differential equations (ODEs), by an explicit... 
Bergers' equation | Initial value problems | Advection equation | Runge-Kutta methods | Total variation diminishing | Positivity | Bergers’ equation | Runge–Kutta methods
Journal Article
Applied Numerical Mathematics, ISSN 0168-9274, 2008, Volume 58, Issue 11, pp. 1675 - 1686
Journal Article
SIAM Journal on Numerical Analysis, ISSN 0036-1429, 2004, Volume 42, Issue 2, pp. 641 - 666
In this paper we study the error estimates to sufficiently smooth solutions of scalar conservation laws for Runge-Kutta discontinuous Galerkin (RKDG) methods,... 
Discontinuous Galerkin | Error estimates | Total variation diminishing Runge-Kutta method | Finite element | MATHEMATICS, APPLIED | GRIDS | total variation diminishing Runge-Kutta method | finite element | HYPERBOLIC EQUATION | discontinuous Galerkin | SYSTEMS | CONVERGENCE | error estimates | FINITE-ELEMENT METHOD | SCHEMES
Journal Article
SIAM Journal on Numerical Analysis, ISSN 0036-1429, 2004, Volume 42, Issue 3, pp. 1073 - 1093
Journal Article
Mathematics of Computation of the American Mathematical Society, ISSN 0025-5718, 01/2006, Volume 75, Issue 253, pp. 183 - 207
Journal Article
SIAM Journal on Numerical Analysis, ISSN 0036-1429, 2004, Volume 42, Issue 3, pp. 974 - 996
Journal Article
Mathematics of Computation of the American Mathematical Society, ISSN 0025-5718, 01/2005, Volume 74, Issue 249, pp. 201 - 219
Journal Article
Journal of Scientific Computing, ISSN 0885-7474, 1/2018, Volume 74, Issue 1, pp. 244 - 266
Journal Article
Applied Mathematics and Computation, ISSN 0096-3003, 2010, Volume 216, Issue 8, pp. 2472 - 2478
In this work, accurate solutions to linear and nonlinear diffusion equations were introduced. A combination of a sixth-order compact finite difference scheme... 
Runge–Kutta method | Compact schemes | Nonlinear diffusion equation | Finite difference method | Runge-Kutta method | MATHEMATICS, APPLIED | PARABOLIC EQUATIONS | CONSTRAINTS | SCHEMES | Approximation | Computation | Mathematical analysis | Nonlinearity | Mathematical models | Diffusion
Journal Article
Applied Numerical Mathematics, ISSN 0168-9274, 2005, Volume 53, Issue 2, pp. 265 - 279
Journal Article
Applied Mathematics and Computation, ISSN 0096-3003, 2009, Volume 208, Issue 2, pp. 475 - 483
A numerical solution of the one-dimensional Burgers’ equation is obtained using a sixth-order compact finite difference method. To achieve this, a tridiagonal... 
Burgers’ equation | Low-storage Runge–Kutta scheme | Compact schemes | Finite difference method | Burgers' equation | Low-storage Runge-Kutta scheme | EXISTENCE | MATHEMATICS, APPLIED | PARABOLIC EQUATIONS | DIFFUSION EQUATION | UNIQUENESS
Journal Article
SIAM Journal on Numerical Analysis, ISSN 0036-1429, 05/2002, Volume 40, Issue 2, pp. 469 - 491
Strong-stability-preserving (SSP) time discretization methods have a nonlinear stability property that makes them particularly suitable for the integration of... 
Strong stability preserving | Time discretization | Runge-Kutta methods | High-order accuracy | Total variation diminishing | MATHEMATICS, APPLIED | EFFICIENT IMPLEMENTATION | time discretization | total variation diminishing | high-order accuracy | strong stability preserving | CONSERVATION-LAWS | SCHEMES
Journal Article
Pramana - Journal of Physics, ISSN 0304-4289, 03/2012, Volume 78, Issue 3, pp. 335 - 346
Journal Article
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