Results 11 to 20 of about 20,766 (186)

Path Integral Solution of Linear Second Order Partial Differential Equations I. The General Construction [PDF]

, 2004
A path integral is presented that solves a general class of linear second order partial differential equations with Dirichlet/Neumann boundary conditions. Elementary kernels are constructed for both Dirichlet and Neumann boundary conditions.
Abraham, Cartier, Cartier, Cartier, Dunkl, Duru, Dynkin, Elworthy, Feynman, Freidlin, Friedman, Glimm, Grosche, J. LaChapelle, Lachapelle, Sagan, Young   +16 more
core   +2 more sources

Variational methods for PDEs aplied to stochastic partial differential equations

MATHEMATICA SCANDINAVICA, 1998
We combine white noise analysis and variational methods for partial differential equations to study stochastic partial differential equations. The equations are studied in the Kondratiev spaces of stochastic distributions. A new estimate on the Wick product in these spaces is shown.
openaire   +3 more sources

Analytical simulation of the nonlinear Caputo fractional equations

Partial Differential Equations in Applied Mathematics
Partial differential equations (PDEs), particularly those involving fractional derivatives, have garnered considerable attention due to their ability to model complex systems with memory and hereditary properties.
Ali Ahadi, Seyed Mostafa Mousavi, Amir Mohammad Alinia, Hossein Khademi   +3 more
doaj   +1 more source

Efficient Gluing of Numerical Continuation and a Multiple Solution Method for Elliptic PDEs

, 2014
Numerical continuation calculations for ordinary differential equations (ODEs) are, by now, an established tool for bifurcation analysis in dynamical systems theory as well as across almost all natural and engineering sciences. Although several excellent
Kuehn, Christian
core   +1 more source

An operator splitting scheme for the fractional kinetic Fokker-Planck equation [PDF]

, 2018
In this paper, we develop an operator splitting scheme for the fractional kinetic Fokker-Planck equation (FKFPE). The scheme consists of two phases: a fractional diffusion phase and a kinetic transport phase.
Duong, Manh Hong, Lu, Yulong
core   +2 more sources

Reliability-Oriented Modeling of Bellows Compensators: A Comparative PDE-Based Study Using Finite Difference and Finite Element Methods

Mathematics
Bellows compensators are critical components in pipeline systems, designed to absorb thermal expansions, vibrations, and pressure reflections. Ensuring their operational reliability requires accurate prediction of the stress–strain state (SSS) and ...
Yerzhan Y. Sarybayev, Doszhan Y. Balgayev, Denis Y. Tkachenko, Nikita V. Martyushev, Boris V. Malozyomov, Baurzhan S. Beisenov, Svetlana N. Sorokova   +6 more
doaj   +1 more source

Symbolic Computation of Conservation Laws of Nonlinear Partial Differential Equations in Multi-dimensions

, 2005
A direct method for the computation of polynomial conservation laws of polynomial systems of nonlinear partial differential equations (PDEs) in multi-dimensions is presented. The method avoids advanced differential-geometric tools.
Ablowitz, Ablowitz, Adams, Anco, Anco, Anderson, Anderson, Barnett, Cantarella, Deconinck, Dellar, Eklund, Faddeev, Gao, Gao, Göktaş, Göktaş, Hereman, Hereman, Hereman, Hickman, Krasil'shchik, Kruskal, Marsden, Newell, Olver, Sanz-Serna, Svendsen, Wolf, Wolf   +29 more
core   +1 more source

Roadmap to Precision 3D Printing of Cellulose: Rheology‐Guided Formulation, Fidelity Assessment, and Application Horizons

Advanced Materials Technologies, EarlyView.
This critical review presents a comprehensive roadmap for the precision 3D printing of cellulose. Quantitative correlations link ink formulation and rheological properties to print fidelity and final material performance. This framework guides the development of advanced functional materials, from biomedical scaffolds to electromagnetic shielding ...
Majed Amini, Hadi Hosseini, Seyyed Alireza Hashemi, Mohammad Arjmand   +3 more
wiley   +1 more source

Spatial‐Wavelength Multiplexing Error‐Controlled Photonic Analog Computing System

Advanced Science, EarlyView.
A novel photonic integrated circuit prototype implementing the concept of general‐purpose analog computing and demonstrate its capability in radio frequency applications. The chip features a multichannel architecture and performs fully optical analog computation with frequency‐domain parallel processing. An FPGA‐based error‐correction algorithm aims to
Tao Zhu, Bowen Zhu, Shicheng Zhang, Keren Li, Xianchen Wu, Yazhi Pi, Jie Yan, Daigao Chen, Bingli Guo, Xi Xiao, Lei Wang, Xiaochuan Xu, Xuwei Xue, Shanguo Huang, Zizheng Cao, Shaohua Yu   +15 more
wiley   +1 more source

Physical Implementation of Optical Material‐Based Neural Networks Processing Enabled by Long‐Persistent Luminescence

Advanced Science, EarlyView.
This study reports on the physical implementation of optical material‐based neural processing using long‐persistent luminescence as memory‐retention and nonlinear optical material. The system performs optical‐domain preprocessing with opto‐electronic interfaces for stimulus delivery and readout, enabling real‐time demonstrations including Pong gameplay
Sangwon Wi, Yunsang Lee
wiley   +1 more source