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Computers & mathematics with applications (1987), ISSN 0898-1221, 09/2017, Volume 74, Issue 5, pp. 1029 - 1042
Journal Article
Computer methods in applied mechanics and engineering, ISSN 0045-7825, 10/2016, Volume 310, pp. 388 - 405
We propose a new, optimally accurate numerical regularization/stabilization for (a family of) second order timestepping methods for the Navier... 
Unconditional stability | BDF2 | Navier–Stokes | Crank–Nicolson | IMEX methods | Second order convergence | Crank-Nicolson | MATHEMATICS, INTERDISCIPLINARY APPLICATIONS | MECHANICS | ENGINEERING, MULTIDISCIPLINARY | APPROXIMATION | Navier-Stokes | FINITE-ELEMENT | EFFICIENT | Fluid dynamics | Methods
Journal Article
Journal of computational and applied mathematics, ISSN 0377-0427, 01/2016, Volume 292, pp. 674 - 693
In this paper, we consider the numerical approximation of a reaction–diffusion system 2D in space whose solutions are patterns oscillating in time or both in... 
ADI methods | Schnakenberg model | Turing–Hopf patterns | Symplectic schemes | IMEX methods | High order finite differences | Turing-Hopf patterns | MATHEMATICS, APPLIED | MODEL | HOPF | SCHEMES | INSTABILITIES | Analysis | Methods | Numerical analysis | Stability | Approximation | Nodular iron | Mathematical analysis | Oscillating | Mathematical models | Diffusion | Dynamical systems
Journal Article
Computers & mathematics with applications (1987), ISSN 0898-1221, 2019, Volume 79, Issue 7, pp. 2067 - 2085
Systems of reaction–diffusion partial differential equations (RD-PDEs) are widely applied for modeling life science and physico-chemical phenomena. In... 
Schnakenberg model | IMEX methods | Reaction–diffusion PDEs | ADI method | Sylvester equations | Turing patterns | PATTERN-FORMATION | MATHEMATICS, APPLIED | Reaction-diffusion PDEs | DYNAMICS | SYSTEMS | IMPLICIT EXPLICIT METHODS | MODEL | Battery chargers | Charging | Partial differential equations | Discretization | Reaction kinetics | Solvers | Integrators | Diffusion
Journal Article
Journal of computational and applied mathematics, ISSN 0377-0427, 09/2019, p. 112501
Journal Article
Journal of computational physics, ISSN 0021-9991, 08/2018, Volume 367, pp. 121 - 133
Journal Article
Journal of computational physics, ISSN 0021-9991, 2007, Volume 225, Issue 2, pp. 2016 - 2042
For solving hyperbolic systems with stiff sources or relaxation terms, time stepping methods should combine favorable monotonicity properties for shocks and steep solution gradients with good... 
TVB | TVD | Stability | Implicit–explicit (IMEX) multistep methods | Monotonicity | Boundedness | Implicit-explicit (IMEX) multistep methods | TIME DISCRETIZATIONS | APPROXIMATION | monotonicity | PHYSICS, MATHEMATICAL | ORDER | RUNGE-KUTTA SCHEMES | COMPUTER SCIENCE, INTERDISCIPLINARY APPLICATIONS | implicit-explicit (IMEX) multistep methods | boundedness | stability | EXPLICIT
Journal Article
Multibody System Dynamics, ISSN 1384-5640, 4/2018, Volume 42, Issue 4, pp. 469 - 493
In this work, recently developed state-of-the-art symbolic multibody methods are tested to accurately model a complex railway vehicle... 
Engineering | Vibration, Dynamical Systems, Control | IMEX | Real-time | Automotive Engineering | Mechanical Engineering | Multibody | Recursive | Optimization | Symbolic | Electrical Engineering | Contact | ALGORITHM | PARAMETERS | MODEL | MECHANICS | CONTACT PROBLEMS | DYNAMICS | SYSTEMS | ROLLING-CONTACT | Railroads | Mechanical engineering | Methods
Journal Article
Mathematical Modelling and Analysis, ISSN 1392-6292, 01/2014, Volume 19, Issue 1, pp. 18 - 43
Journal Article
Journal of computational physics, ISSN 0021-9991, 2016, Volume 317, pp. 1 - 14
Journal Article
Journal of computational physics, ISSN 0021-9991, 2010, Volume 229, Issue 22, pp. 8313 - 8332
Journal Article
Procedia computer science, ISSN 1877-0509, 2015, Volume 51, Issue 1, pp. 2086 - 2096
We examine a High Order/Low Order (HOLO) approach for a z-level ocean model and show that the traditional semi-implicit and split-explicit methods, as well... 
Ocean modeling | HOLO methods | Nonlinear elimination | IMEX method | Imex method | ocean modeling | MATHEMATICS AND COMPUTING | TIDAL AND WAVE POWER | nonlinear elimination | GEOSCIENCES
Journal Article
Mathematical models & methods in applied sciences, ISSN 0218-2025, 03/2017, Volume 27, Issue 3, pp. 549 - 579
.... Shu, Error estimates to smooth solutions of Runge-Kutta discontinuous Galerkin methods for scalar conservation laws, SIAM J. Numer. Anal. 42 (2004) 641-666... 
Discontinuous Galerkin | Kerr-Debye model | implicit-explicit | positivity-preserving | stiff systems | Runge-Kutta methods | asymptotic-preserving | NUMERICAL-METHODS | SMOOTH SOLUTIONS | MATHEMATICS, APPLIED | DG-IMEX SCHEMES | KINETIC-EQUATIONS | SYMMETRIZABLE SYSTEMS | HIGH-ORDER | RELAXATION APPROXIMATION | HYPERBOLIC CONSERVATION-LAWS | FINITE-ELEMENT-METHOD
Journal Article
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