On MAP Estimates and Source Conditions for Drift Identification in SDEs
ABSTRACT We consider the inverse problem of identifying the drift in an stochastic differential equation (SDE) from n$n$ observations of its solution at M+1$M+1$ distinct time points. We derive a corresponding maximum a posteriori (MAP) estimate, we prove differentiability properties as well as a so‐called tangential cone condition for the forward ...
Daniel Tenbrinck +3 more
wiley +1 more source
Isogeometric suitable coupling methods for partitioned multiphysics simulation with application to fluid-structure interaction. [PDF]
Li JY +3 more
europepmc +1 more source
ABSTRACT In this work, we present an anisotropic multi‐goal error control based on the dual weighted residual (DWR) method for time‐dependent convection–diffusion–reaction (CDR) equations. Motivated by former work, we combine multiple goals to single error functionals with weights chosen as algorithmic parameters.
Markus Bause +5 more
wiley +1 more source
Surrogate Modeling of Resonant Behavior in Scattering Problems Through Adaptive Rational Approximation and Sketching. [PDF]
Pradovera D, Hiptmair R, Perugia I.
europepmc +1 more source
ABSTRACT Injection molding is a manufacturing process for plastic components where precise geometries and part properties, such as local strength and stiffness, are critical. The mold filling phase, during which the hot molten polymer is rapidly injected into the cooled mold cavity, presents significant simulation challenges due to steep temperature ...
Blanca Ferrer Fabón +3 more
wiley +1 more source
Bidirectional Endothelial Feedback Drives Turing-Vascular Patterning and Drug-Resistance Niches: A Hybrid PDE-Agent-Based Study. [PDF]
Liu Z +5 more
europepmc +1 more source
Monolithic Multi‐Level Overlapping Schwarz Preconditioners for Fluid Problems
ABSTRACT Additive overlapping Schwarz methods are iterative methods of the domain decomposition type for the solution of partial differential equations. Numerical and parallel scalability of these methods can be achieved by adding coarse levels. A successful coarse space, inspired by iterative substructuring, is the generalized Dryja–Smith–Widlund ...
Stephan Köhler, Oliver Rheinbach
wiley +1 more source
Linear Stability of Schwarzschild-Anti-de Sitter Spacetimes III: Quasimodes and Sharp Decay of Gravitational Perturbations. [PDF]
Graf O, Holzegel G.
europepmc +1 more source
Learning image derived PDE-phenotypes from fMRI data. [PDF]
Bica I +5 more
europepmc +1 more source
Designing reaction-cross-diffusion systems with Turing and wave instabilities. [PDF]
Villar-Sepúlveda E +2 more
europepmc +1 more source

