The Long Shadow of Karl Weierstraß Over the Calculus of Variations
ABSTRACT At first glance, it appears that the contents of Karl Weierstraß's (1815–1897) lecture courses on the calculus of variations were made available to the public only in the seventh volume of his Mathematische Werke, and thus not until 30 years after his death.
Peter Ullrich
wiley +1 more source
Numerical convergence of the scalar auxiliary variable method applied to nonlinear stiff string models. [PDF]
Russo R, Ducceschi M, Bilbao S.
europepmc +1 more source
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
PROFET predicts continuous gene expression dynamics from scRNA-seq data to elucidate heterogeneity of cancer treatment responses. [PDF]
Cheng YC +15 more
europepmc +1 more source
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 +2 more
wiley +1 more source
Well-Posedness of the Stochastic Thin-Film Equation with an Interface Potential. [PDF]
Agresti A, Sauerbrey M.
europepmc +1 more source
Model Adjustments and Solver Construction for Galvanic Cells Based on NPP‐Systems
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 +2 more
wiley +1 more source
The Unique Limit of the Glimm-Lax Construction for Sobolev Data and Obstructions to 1-d Convex Integration. [PDF]
Cheng J, Faile C, Krupa SG.
europepmc +1 more source
On the Design of Terminal Ingredients in Periodic Model Predictive Path‐Following
ABSTRACT Establishing recursive feasibility and convergence for nonlinear model predictive path‐following control (MPPFC) is a non‐trivial task, particularly when following periodic reference paths. We propose a procedure for the design of terminal ingredients in MPPFC for constrained nonlinear systems.
Mohamed Abou‐Taleb +3 more
wiley +1 more source
Improved polio outbreak prediction using a Caputo fractional-order model with memory effects. [PDF]
Alyobi S, Shafee A.
europepmc +1 more source

