Results 31 to 40 of about 5,624 (113)

Operator Inference for Physical and Generalized Surrogate Groundwater Modeling

Water Resources Research, Volume 62, Issue 1, January 2026.
Abstract Groundwater flow and solute transport models, governed by partial differential equations (PDEs), are computationally intensive, particularly in large‐scale. Traditional numerical models are prohibitively expensive, and existing surrogate models often fail under out‐of‐distribution (OOD) conditions, such as unseen initial conditions, boundary ...
Yongda Liu, Xi Chen, Zitao Wang, Jianzhi Dong   +3 more
wiley   +1 more source

A theorem concerning Fourier transforms: A survey

Journal of the London Mathematical Society, Volume 113, Issue 1, January 2026.
Abstract In this note, we highlight the impact of the paper G. H. Hardy, A theorem concerning Fourier transforms, J. Lond. Math. Soc. (1) 8 (1933), 227–231 in the community of harmonic analysis in the last 90 years, reviewing, on one hand, the direct generalizations of the main results and, on the other hand, the different connections to related areas ...
Aingeru Fernández‐Bertolin, Luis Vega
wiley   +1 more source

Fully pseudospectral time evolution and its application to 1+1 dimensional physical problems

, 2012
It was recently demonstrated that time-dependent PDE problems can numerically be solved with a fully pseudospectral scheme, i.e. using spectral expansions with respect to both spatial and time directions (Hennig and Ansorg, 2009 [15]). This was done with
Hennig, Jörg
core   +1 more source

The Novel Numerical Solutions for Time‐Fractional Fishers Equation

Advances in Mathematical Physics, Volume 2026, Issue 1, 2026.
A new method for solving time‐fractional partial differential equations (TFPDEs) is proposed in the paper. It is known as the fractional Kamal transform decomposition method (FKTDM). TFPDEs are approximated using the FKTDM. The FKTDM is particularly effective for solving various types of fractional partial differential equations (FPDEs), including time‐
Aslı Alkan, Hasan Bulut, Ercan Çelik, Zine El Abiddine Fellah   +3 more
wiley   +1 more source

Innovative Approaches in Differential Equation Analysis Using the Enhanced Differential Transform and Homotopy Perturbation Method

International Journal of Differential Equations, Volume 2026, Issue 1, 2026.
Ordinary differential equations (ODEs) are very basic when it comes to modeling dynamic systems in various fields of science and engineering. However, solving high‐dimensional, nonlinear, and stiff ODEs is still a major challenge given the limitations of existing numerical methods, which tend to have difficulties in terms of accuracy and efficiency ...
V. Murugesh, M. Priyadharshini, Yogesh Kumar Sharma, Umesh Kumar Lilhore, Sarita Simaiya, Lidia Gosy Tekeste, Gaston Mandata N′Guerekata   +6 more
wiley   +1 more source

An $hp$-Adaptive Newton-Galerkin Finite Element Procedure for Semilinear Boundary Value Problems

, 2016
In this paper we develop an $hp$-adaptive procedure for the numerical solution of general, semilinear elliptic boundary value problems in 1d, with possible singular perturbations. Our approach combines both a prediction-type adaptive Newton method and an
Amrein, Mario, Melenk, Jens M., Wihler, Thomas P.   +2 more
core   +1 more source

From Empirical Models to Physics‐Informed Neural Networks: The Evolution of Oil Production Forecasting

Journal of GeoEnergy, Volume 2026, Issue 1, 2026.
Production forecasting for oil and gas wells is a decisive element of field‐development planning because it directly guides recovery strategy design, production optimisation and risk management. Conventional methods, including empirical decline‐curve analysis (DCA) and full‐physics numerical simulation, are limited either by their inability to capture ...
Shitan Yin, Erlong Yang, Xianjun Wang, Chi Dong, Mehdi Ostadhassan   +4 more
wiley   +1 more source

The Dynamical Landscape of the Negative‐Order (3+1)‐Dimensional Calogero–Bogoyavlenskii–Schiff Equation

Journal of Mathematics, Volume 2026, Issue 1, 2026.
A new negative‐order form of the (3 + 1)‐dimensional Calogero–Bogoyavlenskii–Schiff equation is examined in this investigation. This equation plays an important role in accurately describing the thermodynamic properties of mixtures, particularly in chemical engineering applications.
Ulviye Demirbilek, Jan Muhammad, Arzu Akbulut, Usman Younas, Taha Radwan, Karim K. Ahmed, Dimitri Mugnai   +6 more
wiley   +1 more source

Stability analysis for combustion fronts traveling in hydraulically resistant porous media [PDF]

, 2014
We study front solutions of a system that models combustion in highly hydraulically resistant porous media. The spectral stability of the fronts is tackled by a combination of energy estimates and numerical Evans function computations.
Ghazaryan, Anna, Lafortune, Stephane, McLarnan, Peter   +2 more
core  

A Finite Element Computation of the Gravitational Radiation emitted by a Point-like object orbiting a Non-rotating Black Hole

, 2005
The description of extreme-mass-ratio binary systems in the inspiral phase is a challenging problem in gravitational wave physics with significant relevance for the space interferometer LISA.
A. Bayliss, Carlos F. Sopuerta, E. Poisson, G. Strang, H. M. Hilber, I. Babuška, J. Chung, J. Stoer, K. Kokkotas, N. N. Newmark, O. C. Zienkiewicz, P. G. Ciarlet, Pablo Laguna, S. Chandrasekhar, S. Chandrasekhar, S. Vitale, T. Prince, T. J. R. Hughes, W. H. Press   +18 more
core   +1 more source