Results 101 to 110 of about 4,191 (239)
31P‐MRS of the Human Heart at 7 T With an Integrated Whole‐Body 31P Radiofrequency Transmit Coil
NMR in Biomedicine, Volume 39, Issue 4, April 2026.We demonstrate the use of an integrated whole‐body phosphorus‐31 (31P) radiofrequency transmit coil for 31P‐MR spectroscopic imaging of the human heart at 7 T. Intersession measurement repeatability of the mid‐septal myocardial phosphocreatine (PCr) over adenosine triphosphate (ATP) concentration ratio in normal volunteers was 17.7%.
Mark W. J. M. Gosselink +5 more
wiley +1 more source
Space Correlation Constrained Physics Informed Neural Network for Seismic Tomography
Journal of Geophysical Research: Machine Learning and Computation, Volume 3, Issue 2, April 2026.Abstract Physics‐informed neural networks (PINNs) integrate physical constraints with neural architectures and leverage their nonlinear fitting capabilities to solve complex inverse problems. Tomography serves as a classic example, aiming to reconstruct subsurface velocity models to improve seismic exploration.
Yonghao Wang +3 more
wiley +1 more source
Attractors of Hamilton nonlinear PDEs: Attractors of Hamilton nonlinear PDEs
, 2016 This is a survey of results on long time behavior and attractors for Hamiltonian nonlinear partial differential equations, considering the global attraction to stationary states, stationary orbits, and solitons, the adiabatic effective dynamics of the solitons, and the asymptotic stability of the solitary manifolds.
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An Effective Physics‐Informed Neural Operator Framework for Predicting Wavefields
Journal of Geophysical Research: Machine Learning and Computation, Volume 3, Issue 2, April 2026.Abstract Solving the wave equation is fundamental for many geophysical applications. However, numerical solutions of the Helmholtz equation face significant computational and memory challenges. Therefore, we introduce a physics‐informed convolutional neural operator (CNO) (PICNO) to solve the Helmholtz equation efficiently.
X. Ma, T. Alkhalifah
wiley +1 more source
Macroscopic Market Making Games
Mathematical Finance, Volume 36, Issue 2, Page 352-373, April 2026.ABSTRACT Building on the macroscopic market making framework as a control problem, this paper investigates its extension to stochastic games. In the context of price competition, each agent is benchmarked against the best quote offered by the others. We begin with the linear case.
Ivan Guo, Shijia Jin
wiley +1 more source
Nonlinear PDEs and Scale Dependence
, 2007 The properties of nonlinear PDEs that generate filtered solutions are explored with particular attention given to the constraints on the residual term. The analysis is carried out for nonlinear PDEs with an emphasis on evolution problems recast on space-time-scale.
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On the Mean‐Field Limit of Consensus‐Based Methods
Mathematical Methods in the Applied Sciences, Volume 49, Issue 5, Page 4214-4240, 30 March 2026.ABSTRACT Consensus‐based optimization (CBO) employs a swarm of particles evolving as a system of stochastic differential equations (SDEs). Recently, it has been adapted to yield a derivative free sampling method referred to as consensus‐based sampling (CBS). In this paper, we investigate the “mean‐field limit” of a class of consensus methods, including
Marvin Koß, Simon Weissmann, Jakob Zech
wiley +1 more source
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
A Novel Effective Approach for Solving Fractional Nonlinear PDEs. [PDF]
Int Sch Res Notices, 2014 Aminikhah H, Malekzadeh N, Rezazadeh H.
europepmc +1 more source
C∞‐Structures for Liénard Equations and New Exact Solutions to a Class of Klein–Gordon Equations
Mathematical Methods in the Applied Sciences, Volume 49, Issue 4, Page 2795-2822, 15 March 2026.ABSTRACT Liénard equations are analyzed using the recent theory of 𝒞∞‐structures. For each Liénard equation, a 𝒞∞‐structure is determined by using a Lie point symmetry and a 𝒞∞‐symmetry. Based on this approach, a novel method for integrating these equations is proposed, which consists in solving sequentially two completely integrable Pfaffian equations.
Beltrán de la Flor +2 more
wiley +1 more source