An Efficient Quasi-Newton Method with Tensor Product Implementation for Solving Quasi-Linear Elliptic Equations and Systems. [PDF]
J Sci ComputHao W, Lee S, Zhang X.
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Water Resources Research, Volume 62, Issue 2, February 2026.Abstract Seepage boundary conditions are commonly used in groundwater simulations to allow groundwater to discharge at the upper surface of the model when groundwater head exceeds atmospheric pressure. However, the extent and transient behavior of the seepage zone are often unknown a priori and difficult to predict.
Young‐Jin Park +7 more
wiley +1 more source
Optimization of the cut configuration for skin grafts. [PDF]
Biomech Model MechanobiolHarbrecht H, Karnaev V.
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Expert Systems, Volume 43, Issue 2, February 2026.ABSTRACT Negative transfer continues to limit the benefits of multi‐task learning (MTL) in harmful language detection, where related tasks must share representations without diluting task‐specific nuances. We introduce task awareness (TA), a methodological framework that explicitly conditions MTL models on the task they must solve.
Angel Felipe Magnossão de Paula +3 more
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PairReg: A method for enhancing the learning of molecular structure representation in equivariant graph neural networks. [PDF]
PLoS OneRen Z, Liu Y, Zhang S.
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Mathematical Methods in the Applied Sciences, Volume 49, Issue 2, Page 521-530, 30 January 2026.ABSTRACT This paper investigates the generalized Hyers–Ulam stability of the Laplace equation subject to Neumann boundary conditions in the upper half‐space. Traditionally, Hyers–Ulam stability problems for differential equations are analyzed by examining the system's error, particularly in relation to a forcing term.
Dongseung Kang +2 more
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Surrogate Modeling of Resonant Behavior in Scattering Problems Through Adaptive Rational Approximation and Sketching. [PDF]
J Sci ComputPradovera D, Hiptmair R, Perugia I.
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Numerical Analysis of a Benjamin–Bona–Mahony Type Equation in a Noncylindrical Domain
Mathematical Methods in the Applied Sciences, Volume 49, Issue 2, Page 818-834, 30 January 2026.ABSTRACT Numerical analysis and simulation for the approximate solution of a Benjamin–Bona–Mahony type equation defined in a noncylindrical domain are presented in this article. The approximate problem is defined using the linearized Crank–Nicolson Galerkin method, which results in a linear algebraic system at each time step while maintaining quadratic
Vania Cristina Machado +2 more
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DrugBERT: a BERT-based approach integrating LDA topic embedding and efficacy-aware mechanism for predicting anti-tumor drug efficacy. [PDF]
J Transl MedZhu W +5 more
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Non‐Linear Reduced Order Modelling of Transonic Potential Flows for Fast Aerodynamic Analysis
International Journal for Numerical Methods in Engineering, Volume 127, Issue 2, 30 January 2026.ABSTRACT This work presents a physics‐based reduced order modelling (ROM) framework for the efficient simulation of steady transonic potential flows around aerodynamic configurations. The approach leverages proper orthogonal decomposition and a least‐squares Petrov‐Galerkin (LSPG) projection to construct intrusive ROMs for the full potential equation ...
M. Zuñiga +3 more
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