Asymptotic Analysis of the Static Bidomain Model for Pulsed Field Cardiac Ablation
Mathematical Methods in the Applied Sciences, Volume 49, Issue 4, Page 2510-2531, 15 March 2026.ABSTRACT Cardiac arrhythmias are caused by faulty electrical signals in the heart, which lead to chaotic wave propagation and impaired cardiac function. This work focuses on a non‐thermal ablation technique based on electroporation (EP), a promising method for treating arrhythmias, called pulsed field ablation (PFA).
Annabelle Collin +2 more
wiley +1 more source
Analytical evaluations using neural network-based method for wave solutions of combined Kairat-II-X differential equation in fluid mechanics. [PDF]
Sci RepZhou P +8 more
europepmc +1 more source
Accelerating Conjugate Gradient Solvers for Homogenization Problems With Unitary Neural Operators
International Journal for Numerical Methods in Engineering, Volume 127, Issue 5, 15 March 2026.ABSTRACT Rapid and reliable solvers for parametric partial differential equations (PDEs) are needed in many scientific and engineering disciplines. For example, there is a growing demand for composites and architected materials with heterogeneous microstructures.
Julius Herb, Felix Fritzen
wiley +1 more source
An innovative meshless approach for solving 2D Allen-Cahn equations using the RBF-compact finite difference method. [PDF]
Sci RepFardi M, Azarnavid B, Emami H.
europepmc +1 more source
Breaking Barriers in High‐Order Spectral Methods: The Intrinsic Matrix Approach
International Journal for Numerical Methods in Engineering, Volume 127, Issue 5, 15 March 2026.ABSTRACT This paper introduces a unified framework in Hilbert spaces for applying high‐order differential operators in bounded domains using Chebyshev, Legendre, and Fourier spectral methods. By exploiting the banded structure of differentiation matrices and embedding boundary conditions directly into the operator through a scaling law relating ...
Osvaldo Guimarães, José R. C. Piqueira
wiley +1 more source
International Journal for Numerical Methods in Engineering, Volume 127, Issue 5, 15 March 2026.ABSTRACT This work presents novel structure‐preserving formulations for stable model order reduction in the context of time‐domain room acoustics simulations. A solution to address the instability in conventional model order reduction formulations based on the Linearized Euler Equations is derived and validated through numerical experiments.
Satish Bonthu +4 more
wiley +1 more source
Evolution Equations on Co-evolving Graphs: Long-Time Behaviour and the Graph-Continuity Equation. [PDF]
J Nonlinear SciCarrillo JA, Esposito A, Mikolás L.
europepmc +1 more source
Engineered Optical Fibers for Deep‐Tissue Applications
Advanced Optical Materials, Volume 14, Issue 10, 13 March 2026.This review establishes a foundational framework for designing optical fibers for deep‐tissue medicine. It systematically links material innovations like polymers and hydrogels with structural paradigms to enable state‐of‐the‐art diagnostics, including endoscopy and biosensing, and targeted therapeutics, guiding future clinical translation.
Yuzhen Li +16 more
wiley +1 more source
Unveiling solitary and twinning kink solitons in (2+1)-dimensional modified Zakharov-Kuznetsov equation arising in electronics. [PDF]
Sci RepAl-Sawalha MM, Noor S, Shah R, Yasmin H.
europepmc +1 more source
Navigating the Ethereal Tightrope: The Nanogenerator Manipulates Neurons for Immune Equilibrium
Advanced Science, Volume 13, Issue 14, 9 March 2026.This review explores how nanogenerators modulate neuroimmune responses, offering innovative strategies for treating neurological disorders. By interfacing with neural pathways, they enable precise control of immune activity, especially via vagus nerve stimulation.
Jia Du +5 more
wiley +1 more source