Numerical Linear Algebra with Applications, Volume 33, Issue 1, February 2026.ABSTRACT The heat equation is often used to inpaint dropped data in inpainting‐based lossy compression schemes. We propose an alternative way to numerically solve the heat equation by an extended Krylov subspace method. The method is very efficient with respect to the computation of the solution of the heat equation at large times.
Volker Grimm, Kevin Liang
wiley +1 more source
Study of phase separation process in multi-component mixtures using analytical methods and decomposition variational iteration method for the fourth-order Cahn-Hilliard equation. [PDF]
Sci RepLuo J +7 more
europepmc +1 more source
Tutorial on Causal Mediation Analysis for Pharmacometricians
CPT: Pharmacometrics &Systems Pharmacology, Volume 15, Issue 2, February 2026.ABSTRACT Mediation analyses can support biomarker development by quantifying the part of the total treatment effect on clinical outcome that is mediated by the biomarker. Given that pharmacometricians are often involved in the analysis of biomarker data with pharmacokinetic–pharmacodynamic (PK–PD) models, mediation analysis can be a valuable addition ...
Sebastiaan Camiel Goulooze +2 more
wiley +1 more source
Sensor-Driven Surrogate Modeling and Control of Nonlinear Dynamical Systems Using FAE-CAE-LSTM and Deep Reinforcement Learning. [PDF]
Sensors (Basel)Kherad M +4 more
europepmc +1 more source
Neural Operators for Continuous Bias Correction of Water Level Forecast Guidance
Journal of Geophysical Research: Machine Learning and Computation, Volume 3, Issue 1, February 2026.Abstract The National Oceanic and Atmospheric Administration's (NOAA) Global Two‐Dimensional Surge and Tide Operational Forecast System (STOFS‐2D‐Global) provides global operational tidal, subtidal, and total water level forecast guidance with a 7.5‐day horizon.
Atieh Alipour +10 more
wiley +1 more source
New exact soliton wave solutions appear in optical fibers with Sardar sub equation and new auxiliary equation techniques. [PDF]
Sci RepAsghar U +4 more
europepmc +1 more source
A Novel Deep Learning Approach for TEC Map Completion Using Image Equation‐Guided Loss
Journal of Geophysical Research: Machine Learning and Computation, Volume 3, Issue 1, February 2026.Abstract This study introduces the Image Equation Mechanism‐Completion Generative Adversarial Network (IEM‐CGAN), a groundbreaking deep learning framework that revolutionizes the reconstruction of large‐scale global ionospheric total electron content (TEC) maps.
Qingfeng Li +6 more
wiley +1 more source
Solitary wave solutions of the time fractional Benjamin Bona Mahony Burger equation. [PDF]
Sci RepPavani K, Raghavendar K, Aruna K.
europepmc +1 more source
Journal of Advances in Modeling Earth Systems, Volume 18, Issue 2, February 2026.Abstract The accuracy of global forecasting of atmospheric composition is essential for protecting public health and advancing climate research. Carbon monoxide (CO), a key pollutant with indirect greenhouse effects, requires timely and accurate prediction.
Judongyang Zhou +7 more
wiley +1 more source
Importance of localized dilatation and distensibility in identifying determinants of thoracic aortic aneurysm with neural operators. [PDF]
PLoS Comput BiolLi DS +6 more
europepmc +1 more source