Journal of Advances in Modeling Earth Systems, Volume 18, Issue 3, March 2026.Abstract We compare three global kilometer‐scale models (ICON, IFS and NICAM) to clarify the advantages and challenges of high‐resolution global weather and climate modeling, using different approaches to represent convection, from fully parameterized to fully explicit.
Daisuke Takasuka +2 more
wiley +1 more source
Achieving upper-branch steady-state solutions for inerter-damped cable parametric vibration via targeted runge-kutta initial conditions. [PDF]
Sci RepGuo Z, Xu S, Tang X, Yao G.
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Runge-Kutta time semidiscretizations of semilinear PDEs with non-smooth data. [PDF]
Numer Math (Heidelb), 2016 Wulff C, Evans C.
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Water Resources Research, Volume 62, Issue 3, March 2026.Abstract Deep learning neural networks (DLNNs) hold great potential for modeling groundwater flow, but their performance depends on data availability. Physics‐informed neural networks (PINNs) help to reduce the reliance of DLNNs on data by integrating physical laws into the training process. This approach is increasingly used in applications related to
Adhish Virupaksha +5 more
wiley +1 more source
Multi-strategy improved runge kutta optimizer and its promise to estimate the model parameters of solar photovoltaic modules. [PDF]
HeliyonEkinci S +3 more
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Comparison of reduced models for blood flow using Runge-Kutta discontinuous Galerkin methods. [PDF]
Appl Numer Math, 2017 Puelz C +3 more
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Water Resources Research, Volume 62, Issue 3, March 2026.Abstract Lattice Boltzmann (LB) modeling has been extensively applied to porous media processes, including evaporation. Former pore‐scale LB models for evaporation rely on oversimplified assumptions, such as matched viscosities. However, in subsurface CO2 ${\text{CO}}_{2}$–brine systems, the viscosity ratio can exceed 100 under relevant temperature ...
Saleh Mohammadrezaei +2 more
wiley +1 more source
Retraction notice to "Examination of bio convection with nanoparticles containing microorganisms under the influence of magnetism fields on vertical sheets by five-order Runge-Kutta method" [Heliyon 9 (2023) e15982]. [PDF]
HeliyonFathollahi R +5 more
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Numerical Study of a Nonlocal Nonlinear Schrödinger Equation (MMT Model)
Studies in Applied Mathematics, Volume 156, Issue 3, March 2026.ABSTRACT In this paper, we study a nonlocal nonlinear Schrödinger equation (MMT model). We investigate the effect of the nonlocal operator appearing in the nonlinearity on the long‐term behavior of solutions, and we identify the conditions under which the solutions of the Cauchy problem associated with this equation are bounded globally in time in the ...
Amin Esfahani, Gulcin M. Muslu
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Runge-Kutta 4th-order method analysis for viscoelastic Oldroyd 8-constant fluid used as coating material for wire with temperature dependent viscosity. [PDF]
Sci Rep, 2018 Khan Z +4 more
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