Results 91 to 100 of about 975 (193)
International Journal for Numerical Methods in Engineering, Volume 127, Issue 15, 15 August 2026.ABSTRACT This study introduces the inductive differential constraint method (IDCM), a data‐informed structural regularization framework that enhances neural network predictions under data‐scarce regimes by enforcing invariant differential structures extracted from simulation data.
Rekisei Ozawa, Yoshitaka Wada
wiley +1 more source
On Sobolev Spaces and the Existence of Weak Solutions to Boundary Value Problems [PDF]
Many boundary value problems that arise in mathematical models have close connections to second order elliptic partial differential equations. This thesis introduces the idea of weak derivatives and Sobolev Spaces to generalize possible solutions.
Paul, Skye X
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Global existence of solutions to a hydrogen storage model [PDF]
, 2013 In this paper we review some existence results obtained for a thermo-mechanical model describing hydrogen storage by use of metal hydrides, based on the phase transition approach.
P. Colli +5 more
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Invariant Measure and Universality of the 2D Yang–Mills Langevin Dynamic
Communications on Pure and Applied Mathematics, Volume 79, Issue 8, Page 1973-2102, August 2026.ABSTRACT We prove that the Yang–Mills (YM) measure for the trivial principal bundle over the two‐dimensional torus, with any connected, compact structure group, is invariant for the associated renormalised Langevin dynamic. Our argument relies on a combination of regularity structures, lattice gauge‐fixing and Bourgain's method for invariant measures ...
Ilya Chevyrev, Hao Shen
wiley +1 more source
Engineering Reports, Volume 8, Issue 8, August 2026.The current work examines the dynamics of the stagnation point flow of an unsteady hybrid nanofluid (Fe2O3–Cu/H2O) across an inclined porous stretching surface. It considers heat transfer, second‐order slip, electrical field, heat source/sink, mixed convection, and magnetic field effects, as well as linear and nonlinear radiation.
Mazhar Hussain +4 more
wiley +1 more source
Fast Calculation for the Flow and Heat Transfer of Tempered Fractional Maxwell Viscoelastic Fluid
International Journal for Numerical Methods in Fluids, Volume 98, Issue 8, Page 969-979, August 2026.This study develops a tempered fractional Maxwell model to simulate unsteady thermal flow in viscoelastic fluids, capturing key rheological behaviors. A fast SOE‐based algorithm is proposed to improve the computational efficiency of the numerical scheme. Results reveal how key parameters influence fluid motion and heat transfer, demonstrating the model'
Yi Liu, Mochen Jiang, Libo Feng
wiley +1 more source
Exact Solutions of Linear Multiple Delay Partial Differential Equations
Mathematical Methods in the Applied Sciences, Volume 49, Issue 12, Page 14282-14291, August 2026.ABSTRACT This paper develops an analytical framework for linear differential equations with multiple discrete delays. A new function, referred to as the multiple‐delay exponential function, is introduced, and some of its fundamental properties are established.
Stuart‐James M. Burney
wiley +1 more source
Efficient Tensor Completion Algorithms for Highly Oscillatory Operators
Numerical Linear Algebra with Applications, Volume 33, Issue 4, August 2026.ABSTRACT We address the problem of recovering highly oscillatory operators, represented as n×n$$ n\times n $$ matrices with a fixed set of observed entries. Given that these matrices can be well compressed by butterfly matrix decomposition of L=𝒪(logn) levels requiring only O(nlogn)$$ O\left(n\log n\right) $$ degrees of freedom, we propose a novel ...
Navjot Singh +3 more
wiley +1 more source
Existence & Regularity of Weak Solutions of Degenerate Parabolic PDE Models for the Pricing of Security Derivatives [PDF]
This work is focused on the solvability of initial-boundary value problems for degenerate parabolic partial differential equations that arise in the pricing of Asian options, and on the investigation of differential and certain qualitative properties of ...
Rasoul Behboudi, You-Lan Zhu
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On representation formulas for Hamilton Jacobi's equations related to calculus of variations problems [PDF]
, 2002 In this paper, existence and uniqueness of generalized solutions of some first order Hamilton Jacobi equations are proved. This task is accomplished by showing that the value function for a certain problem of the calculus of variations is the unique ...
Plaskacz, Sławomir, Quincampoix, Marc
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