Results 41 to 50 of about 30,630 (137)

Event-triggered gain scheduling of reaction-diffusion PDEs

, 2020
This paper deals with the problem of boundary stabilization of 1D reaction-diffusion PDEs with a time- and space- varying reaction coefficient. The boundary control design relies on the backstepping approach.
Espitia, Nicolas, Karafyllis, Iasson, Krstic, Miroslav   +2 more
core  

Estimating Parameters of Partial Differential Equations with Gradient Matching [PDF]

, 2017
Parameter inference in partial differential equations (PDEs) is a problem that many researchers are interested in. The conventional methods suffer from severe computational costs because these method require to solve the PDEs repeatedly by numerical ...
Giurghita, Diana, Husmeier, Dirk, Liu, Zhongyi, Macdonald, Benn   +3 more
core  

Compressive Space-Time Galerkin Discretizations of Parabolic Partial Differential Equations [PDF]

, 2015
We study linear parabolic initial-value problems in a space-time variational formulation based on fractional calculus. This formulation uses "time derivatives of order one half" on the bi-infinite time axis.
Larsson, Stig, Schwab, Christoph
core   +1 more source

Shape maps for second order partial differential equations

, 2015
We analyse the singularity formation of congruences of solutions of systems of second order PDEs via the construction of \emph{shape maps}. The trace of such maps represents a congruence volume whose collapse we study through an appropriate evolution ...
Prince, G. E., Rossi, O., Saunders, D. J.   +2 more
core  

Closed-form Symbolic Solutions: A New Perspective on Solving Partial Differential Equations

Solving partial differential equations (PDEs) in Euclidean space with closed-form symbolic solutions has long been a dream for mathematicians. Inspired by deep learning, Physics-Informed Neural Networks (PINNs) have shown great promise in numerically ...
Deng, Yusong, Hao, Meilan, Li, Weijun, Li, Wenqiang, Li, Yanjie, Liu, Jingyi, Wei, Shu, Wu, Min, Yu, Lina   +8 more
core  

Physics-informed neural networks for physiological signal processing and modeling: a narrative review. [PDF]

Physiol Meas
Zhao A, Fattahi D, Hu X.
europepmc   +1 more source

Phenotype structuring in collective cell migration: a tutorial of mathematical models and methods. [PDF]

J Math Biol
Lorenzi T, Painter KJ, Villa C.
europepmc   +1 more source

VEMcomp: a Virtual Elements MATLAB package for bulk-surface PDEs in 2D and 3D. [PDF]

Numer Algorithms
Frittelli M, Madzvamuse A, Sgura I.
europepmc   +1 more source

A primer on variational inference for physics-informed deep generative modelling. [PDF]

Philos Trans A Math Phys Eng Sci
Glyn-Davies A, Vadeboncoeur A, Akyildiz OD, Kazlauskaite I, Girolami M.   +4 more
europepmc   +1 more source

Gross-Pitaevskii systems of fractional order with respect to multicomponent solitary wave dynamics. [PDF]

Sci Rep
Bilal M, Alawaideh YM, Rehman SU, Yousif MA, Younas U, Baleanu D, Mohammed PO.   +6 more
europepmc   +1 more source