Results 101 to 110 of about 2,192 (177)
Local Polynomial Regression and Filtering for a Versatile Mesh‐Free PDE Solver
International Journal for Numerical Methods in Fluids, Volume 98, Issue 7, Page 804-839, July 2026.A high‐order, mesh‐free finite difference method for solving differential equations is presented. Both derivative approximation and scheme stabilisation is carried out by parametric or non‐parametric local polynomial regression, making the resulting numerical method accurate, simple and versatile. Numerous numerical benchmark tests are investigated for
Alberto M. Gambaruto
wiley +1 more source
THE ROLE OF FUNCTIONAL ANALYSIS AND BANACH SPACE TECHNIQUES IN MODERN MATHEMATICAL ANALYSIS AND THEIR APPLICATIONS TO PARTIAL DIFFERENTIAL EQUATIONS [PDF]
This paper explores the significant role of functional analysis and Banach space theory within modern mathematical analysis, particularly in the context of solving partial differential equations (PDEs).
Gayipov Mansurbek Yangibaevich
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ON THE FILTERED SPECTRAL ABSCISSA FOR DELAY-DIFFERENCE EQUATIONS AND ITS ROLE IN THE BOUNDARY CONTROL OF HYPERBOLIC PDES [PDF]
Feedback control systems governed by delay-differential equations of neutral type may be fragile, in the sense that arbitrarily small parametric perturbations and implementation errors of the control may destroy the exponential stability of the target ...
Auriol, Jean +2 more
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CD8+ Tissue‐Resident Memory T Cells in Health and Disease
MedComm, Volume 7, Issue 7, July 2026.CD8+ TRM cells are at the center of immunity, mediating potent local innate and adaptive immune responses. While TRM cells mediate protective immunity against infections and tumors, they also contribute to pathological inflammation in autoimmune conditions.
Yu‐Han Ai +13 more
wiley +1 more source
Medicinal Research Reviews, Volume 46, Issue 4, Page 1173-1229, July 2026.ABSTRACT Alzheimer's disease (AD) is a debilitating neurodegenerative condition characterized by progressive cognitive impairment, memory deterioration, and neuronal dysfunction. Its complex pathophysiology involves multiple interlinked processes, including amyloid‐β (Aβ) aggregation, tau hyperphosphorylation, oxidative stress, neuroinflammation ...
Amandeep Thakur +6 more
wiley +1 more source
Fully discrete backward error analysis for the midpoint rule applied to the nonlinear Schroedinger equation [PDF]
International audienceThe use of symplectic numerical schemes on Hamiltonian systems is widely known to lead to favorable long-time behaviour. While this phenomenon is thoroughly understood in the context of finite-dimensional Hamiltonian systems, much ...
Faou, Erwan +2 more
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Numerical Methods for Partial Differential Equations, Volume 42, Issue 4, July 2026.ABSTRACT The main purpose of this paper is to design a fully discrete local discontinuous Galerkin (LDG) scheme for the generalized Benjamin–Ono equation. First, we prove the L2$$ {L}^2 $$‐stability for the proposed semi‐discrete LDG scheme and obtained a suboptimal order of convergence for power nonlinear flux.
Mukul Dwivedi, Tanmay Sarkar
wiley +1 more source
Coexistence, crossover and extirpation in coalescent communities and ecotones
Oikos, Volume 2026, Issue 7, July 2026.When two ecological communities come into contact, the strength of their mixing determines whether species coexist, extirpate, or extend their ranges. We present analytical formulas and simulations describing these transitions. Specifically, we derive abundance shifts upon community coalescence, identify the critical mixing strength leading to first ...
Martin Heidelman, Dervis Can Vural
wiley +1 more source
Geophysical Prospecting, Volume 74, Issue 6, July 2026.ABSTRACT A conjugate operator pair is introduced for wave‐equation Kirchhoff modelling and migration, formulated as time‐space partial differential equations. The operator pair allows for iterative linearized waveform inversion and supports the reconstruction of angle‐dependent reflectivity images. The proposed forward modelling operator represents the
Wei Zhang, Mauricio D. Sacchi
wiley +1 more source
Wall–chamber decompositions for generalised Monge–Ampère equations
Journal of the London Mathematical Society, Volume 114, Issue 1, July 2026.Abstract Generalised Monge–Ampère (gMA) equations form a large class of PDE including Donaldson's J‐equation, inverse Hessian equations, some supercritical deformed Hermitian–Yang–Mills (dHYM) equations and some Z‐critical equations. Solvability of these equations is characterised by numerical criteria involving intersection numbers over all ...
Sohaib Khalid +1 more
wiley +1 more source