Results 51 to 60 of about 27,423 (132)
Analytical Solutions for the Cardiac Extracellular‐Membrane‐Intracellular Model
Mathematical Methods in the Applied Sciences, Volume 49, Issue 7, Page 6664-6679, 15 May 2026.ABSTRACT The cardiac extracellular‐membrane‐intracellular (EMI) model is a novel mathematical framework for cardiac electrophysiology simulations. The cardiac EMI model provides a more detailed description of the heart's electrical activity compared to traditional monodomain and bidomain models, potentially making it better‐suited for understanding the
Carlos Ballesteros +2 more
wiley +1 more source
Efficient Deconvolution in Populational Inverse Problems
International Journal for Numerical Methods in Engineering, Volume 127, Issue 9, 15 May 2026.ABSTRACT This work is focused on the inversion task of inferring the distribution over parameters of interest, leading to multiple sets of observations. The potential to solve such distributional inversion problems is driven by the increasing availability of data, but a major roadblock is blind deconvolution, arising when the observational noise ...
Arnaud Vadeboncoeur +2 more
wiley +1 more source
Encoding Cumulation to Learn Perturbative Nonlinear Oscillatory Dynamics
Advanced Science, Volume 13, Issue 25, 4 May 2026.Weak nonlinearities critically shape the long term behavior of oscillatory systems but are difficult to identify from data. A data‐driven framework is introduced to infer governing equations of weakly nonlinear oscillators from sparse and noisy observations.
Teng Ma +5 more
wiley +1 more source
A priori bounds for the generalised parabolic Anderson model
Communications on Pure and Applied Mathematics, Volume 79, Issue 5, Page 1315-1394, May 2026.Abstract We show a priori bounds for solutions to (∂t−Δ)u=σ(u)ξ$(\partial _t - \Delta) u = \sigma (u) \xi$ in finite volume in the framework of Hairer's Regularity Structures [Invent Math 198:269–504, 2014]. We assume σ∈Cb2(R)$\sigma \in C_b^2 (\mathbb {R})$ and that ξ$\xi$ is of negative Hölder regularity of order −1−κ$- 1 - \kappa$ where κ<κ¯$\kappa <
Ajay Chandra +2 more
wiley +1 more source
Heat Transfer, Volume 55, Issue 3, Page 1674-1682, May 2026.ABSTRACT Traditional numerical methods, such as finite difference methods (FDM), finite element methods (FEM), and spectral methods, often face meshing challenges and high computational cost for solving nonlinear coupled differential equations. Machine learning techniques, specifically Physics‐informed machine learning, address these obstacles by ...
Ahmad, Feroz Soomro, Husna Zafar
wiley +1 more source
CPT: Pharmacometrics &Systems Pharmacology, Volume 15, Issue 5, May 2026.ABSTRACT Oral pre‐exposure prophylaxis (PrEP) can substantially reduce HIV infection risk when taken as prescribed. However, many individuals struggle adhering to the daily regimen. Twice‐yearly injections of the novel HIV capsid inhibitor lenacapavir (LEN) demonstrated potential in recent PrEP trials.
Hee‐yeong Kim +3 more
wiley +1 more source
In‐and‐Out: Algorithmic Diffusion for Sampling Convex Bodies
Random Structures &Algorithms, Volume 68, Issue 3, May 2026.ABSTRACT We present a new random walk for uniformly sampling high‐dimensional convex bodies. It achieves state‐of‐the‐art runtime complexity with stronger guarantees on the output than previously known, namely in Rényi divergence (which implies TV, 𝒲2, KL, χ2$$ {\chi}^2 $$).
Yunbum Kook +2 more
wiley +1 more source
Eco‐Epidemiological Mathematical Model Analysis With Time Delays and Hopf Bifurcation
Natural Resource Modeling, Volume 39, Issue 2, May 2026.ABSTRACT Ecological and infection predator prey mathematical model is important tool for understanding complex systems and forecasting outcomes biologically. Incorporating saturation mass action incidence rates representing the rate of susceptible prey infection as a function of time along with time delay terms, makes more realistic and reflective of ...
Solomon Molla Alemu +2 more
wiley +1 more source
Quantum Time‐Marching Algorithms for Solving Linear Transport Problems Including Boundary Conditions
International Journal for Numerical Methods in Engineering, Volume 127, Issue 8, 30 April 2026.ABSTRACT This article presents the first complete application of a quantum time‐marching algorithm for simulating multidimensional linear transport phenomena with arbitrary boundaries, whereby the success probabilities are problem intrinsic. The method adapts the linear combination of unitaries algorithm to block encode the diffusive dynamics, while ...
Sergio Bengoechea +2 more
wiley +1 more source
Group analysis of differential equations and generalized functions
, 1998 We present an extension of the methods of classical Lie group analysis of differential equations to equations involving generalized functions (in particular: distributions). A suitable framework for such a generalization is provided by Colombeau's theory
Kunzinger, Michael +1 more
core +2 more sources