Results 101 to 110 of about 543 (203)

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

New modifications of ADM with applications in kind of PDEs. [PDF]

MethodsX
Nemah EM, Jaddoa AF, Ghazi FF.
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

Wavelet methods for PDEs — some recent developments

, 2001
W. Dahmen
semanticscholar   +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

A novel method for approximate solution of two point non local fractional order coupled boundary value problems. [PDF]

PLoS One
Tadoummant L, Khalil H, Echarggaoui R, Aljohani S, Mlaiki N.   +4 more
europepmc   +1 more source

Physics‐Informed Fourier Neural Operator for Predicting the Full‐Field Stress and Strain Response of Polycrystalline Microstructures

Proceedings in Applied Mathematics and Mechanics, Volume 26, Issue 4, December 2026.
ABSTRACT We develop a physics‐informed Fourier Neural Operator (PINO) for the surrogate modeling of full‐field responses in polycrystalline microstructures. Reference stress and strain fields are generated using an FFT‐based full‐field solver under prescribed macroscopic loading. The model maps the crystallographic orientation field q(x)$\bm{q}(\bm{x})$
Ahmad Awad, Lisa Scheunemann
wiley   +1 more source

Abundant different types of soliton solutions for fractional modified KdV equation using auxiliary equation method. [PDF]

Sci Rep
Hussain A, Ibrahim TF, Birkea FMO, Yahya MS, Hassaballa AA, Mukalazi H.   +5 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

Lagrangian multiforms and dispersionless integrable systems. [PDF]

Lett Math Phys
Ferapontov EV, Vermeeren M.
europepmc   +1 more source