Results 91 to 100 of about 2,937 (188)

Convergence Analysis of Iterative Deep Learning Algorithms for Fully Nonlinear BSPDEs in Non-Markovian Utility Maximization. [PDF]

J Sci Comput
Ma J, Wu H, Zheng HH.
europepmc   +1 more source

Drift‐Diffusion Models with Schottky Contacts at Metal–Semiconductor Interfaces

Proceedings in Applied Mathematics and Mechanics, Volume 26, Issue 4, December 2026.
ABSTRACT The paper deals with a drift‐diffusion model for semiconductor devices with Schottky contacts at all metal–semiconductor interfaces. The presented analytical investigations permit Boltzmann as well as Fermi–Dirac statistics for the charge‐carrier densities.
Annegret Glitzky, Matthias Liero
wiley   +1 more source

Smoothness and stability in the Alt-Phillips problem. [PDF]

Math Ann
Carducci M, Tortone G.
europepmc   +1 more source

A Simulation Study on Spatial Exponential Decay of Perturbations in a Two‐Dimensional Wave Equation With Optimal Boundary/Line Control

Proceedings in Applied Mathematics and Mechanics, Volume 26, Issue 4, December 2026.
ABSTRACT Recent results have shown that domain‐uniform stabilizability and detectability imply spatial exponential decay of perturbations in optimally controlled hyperbolic PDEs on one‐dimensional domains. This domain‐uniform stabilizability and detectability can be achieved only if the control domain is distributed over the whole spatial domain such ...
Benedikt Oppeneiger
wiley   +1 more source

Exact solutions and instability analysis of a fifth-order nonlinear evolution equation exhibiting multi-scale wave structures. [PDF]

Sci Rep
Hasan WM, Ahmed HM, Ahmed AM, Rezk HM, Rabie WB.   +4 more
europepmc   +1 more source

Stochastic Galerkin and Monte Carlo Methods for Parabolic Problems: Numerical Performance of Variational Matrix‐Free Approximations

Proceedings in Applied Mathematics and Mechanics, Volume 26, Issue 4, December 2026.
ABSTRACT Stochastic Galerkin methods offer unexplored potential for the numerical simulation of parabolic problems with random variables, in particular if they are combined with variational discretizations of the space and time variables. Due to the high dimensionality, the solution of the arising algebraic systems do not become feasible without ...
Moataz Dawor, Nils Margenberg, Markus Bause   +2 more
wiley   +1 more source

From Dirac Structures to Port-Hamiltonian Partial Differential Equations, a Tutorial Introduction. [PDF]

Entropy (Basel)
Zwart H.
europepmc   +1 more source

Model Adjustments and Solver Construction for Galvanic Cells Based on NPP‐Systems

Proceedings in Applied Mathematics and Mechanics, Volume 26, Issue 4, December 2026.
ABSTRACT Electroplated coatings on metallic substrates have a wide range of practical applications ranging from corrosion or wear protection on parts, good conductivity on electrical contacts to coating systems for bipolar plates in fuel cells. The large field of applications in electrochemical engineering motivates several questions for scientific ...
Stephan Daniel Schwöbel, Thomas Mehner, Thomas Lampke   +2 more
wiley   +1 more source

Analyzing the influence of fractional orders of FitzHugh-Nagumo and Fisher equations. [PDF]

Sci Rep
Al-Sawalha MM, Noor S, Yasmin H, Kafle J.   +3 more
europepmc   +1 more source

A Minimalist Model for the Capture and Investigation of Solitary Waves in Gravity–Driven Liquid Films

Proceedings in Applied Mathematics and Mechanics, Volume 26, Issue 4, December 2026.
ABSTRACT A potential–based, first–integral formulation of the Navier–Stokes equations is used as a platform for modelling solitary waves in gravity‐driven film flow, giving rise to a nonlinear partial differential equation in complex form. Its subsequent modal decomposition—leading to an infinite set of ordinary differential equations (ODEs), followed ...
Markus Scholle, Meriem Al Ahmadi Hammou, Philip H. Gaskell   +2 more
wiley   +1 more source