Variational methods applied to pdes

Results 131 to 140 of about 91,586,058 (209)

Partial differential equations in data science. [PDF]

Philos Trans A Math Phys Eng Sci
Bertozzi AL, Drenska N, Latz J, Thorpe M. +3 more
europepmc +1 more source

Structurally Cascaded Physics‐Informed Graph Neural Networks for Mechanotransduction‐Aware Tumor Microenvironment Modeling

Applied Research, Volume 5, Issue 5, October 2026.
This study introduces a structurally cascaded physics‐informed graph neural network to model tumor microenvironments accurately. By enforcing a directional dependency from mechanical strain to biochemical secretion, the method eliminates unphysical artifacts and significantly improves predictive accuracy for precision healthcare applications.
Xinyuan Chen, Nurashikin Saaludin, Mohd Nizam Husen +2 more
wiley +1 more source

Numerical convergence of the scalar auxiliary variable method applied to nonlinear stiff string models. [PDF]

Nonlinear Dyn
Russo R, Ducceschi M, Bilbao S.
europepmc +1 more source

A Hybrid Physics‐Informed Computational Framework for Adaptive Microrobotic Navigation and Causal Structure Discovery in Simulated Non‐Newtonian Environments

Applied Research, Volume 5, Issue 5, October 2026.
This study presents a hybrid AI framework that enables autonomous magnetic microrobots to navigate complex, non‐Newtonian tumor microenvironments. By integrating physics‐informed recurrent reinforcement learning with active persistent excitation, the system successfully infers hidden fluid rheology for precise targeted navigation and structural causal ...
Xinyuan Chen, Zanariah Abu Bakar, Mohd Nizam Husen +2 more
wiley +1 more source

QEKI: A Quantum-Classical Framework for Efficient Bayesian Inversion of PDEs. [PDF]

Entropy (Basel)
Yong J, Tang S.
europepmc +1 more source

Computational Role in Thermal Engineering and Chemical Analytics During the Rotating Disk of Generalized Williamson Viscosity and Thermal Conductivity

Advanced Physics Research, Volume 5, Issue 10, October 2026.
The schematic diagram shows the flow configuration of the model. The swirling flow of shear‐thinning materials is significantly investigated under the influence of mixed convection. In addition, heat and mass transfer flow characteristics along with gyrotactic microorganisms is also investigated. ABSTRACT Thermal conductivity, temperature gradient, and
Latif Ahmad +3 more
wiley +1 more source

Deterministic, stochastic, and mean-field PDE models in neuroscience. [PDF]

Front Comput Neurosci
Çetin C +5 more
europepmc +1 more source

Optimized Wavy Thermal Radiative Analysis of Electrochemically Ternary Hybrid Nanomaterials Affected by an Induced Magnetic Force: An ANN‐Based Levenberg–Marquardt Backpropagation Approach

Advanced Physics Research, Volume 5, Issue 10, October 2026.
This diagram illustrates the wavy flow configuration of the model in a Cartesian coordinate system. It represents the heat and mass transfer characteristics of ternary hybrid nanofluids over a vertically wavy surface in the presence of an induced magnetic field and double‐diffusive mixed convection.
Latif Ahmad +4 more
wiley +1 more source

Trainable embedding quantum physics informed neural networks for solving nonlinear PDEs. [PDF]

Sci Rep
Berger S, Hosters N, Möller M.
europepmc +1 more source

Toward Optimal After‐Growth Cooling of a Single Crystal

Crystal Research and Technology, Volume 61, Issue 10, October 2026.
A novel and computationally efficient approach to generate optimal after‐growth cooling profiles is presented Optimal strategies for after‐growth cooling of a single crystal are computed for idealized cooling profiles. General scaling laws for maximum cooling rate and total cooling time as function of material and crystal properties are found ...
Markus Zenk +4 more
wiley +1 more source