Numerical methods for parameter estimation in nonlinear differential algebraic equations

HG Bock, E Kostina, JP Schlöder - GAMM‐Mitteilungen, 2007 - Wiley Online Library
Abstract Nonlinear Differential Algebraic Equations (DAEs) are an important class of models
for dynamic processes. To establish models that describe the process behavior in a …

Entropy-based experimental design for optimal model discrimination in the geosciences

W Nowak, A Guthke - Entropy, 2016 - mdpi.com
Choosing between competing models lies at the heart of scientific work, and is a frequent
motivation for experimentation. Optimal experimental design (OD) methods maximize the …

Optimal observation network design for conceptual model discrimination and uncertainty reduction

HV Pham, FTC Tsai - Water Resources Research, 2016 - Wiley Online Library
This study expands the Box‐Hill discrimination function to design an optimal observation
network to discriminate conceptual models and, in turn, identify a most favored model. The …

Constructing robust and efficient experimental designs in groundwater modeling using a Galerkin method, proper orthogonal decomposition, and metaheuristic …

TT Ushijima, WWG Yeh, WK Wong - Plos one, 2021 - journals.plos.org
Estimating parameters accurately in groundwater models for aquifers is challenging
because the models are non-explicit solutions of complex partial differential equations …

Bayesian experimental design for identification of model propositions and conceptual model uncertainty reduction

HV Pham, FTC Tsai - Advances in Water Resources, 2015 - Elsevier
The lack of hydrogeological data and knowledge often results in different propositions (or
alternatives) to represent uncertain model components and creates many candidate …

Experimental design for estimating unknown hydraulic conductivity in an aquifer using a genetic algorithm and reduced order model

TT Ushijima, WWG Yeh - Advances in Water Resources, 2015 - Elsevier
We develop an experimental design algorithm to select locations for a network of
observation wells that provide the maximum robust information about unknown hydraulic …

Multistep outflow experiments to derive a soil hydraulic database for forest soils

H Puhlmann, K Von Wilpert, M Lukes… - European Journal of …, 2009 - Wiley Online Library
Forest soils are under‐represented throughout the existing soil hydraulic databases.
Classical measurement methods for the hydraulic soil characteristics are very time …

Experimental design for estimating unknown groundwater pumping using genetic algorithm and reduced order model

TT Ushijima, WWG Yeh - Water Resources Research, 2013 - Wiley Online Library
An optimal experimental design algorithm is developed to select locations for a network of
observation wells that provide maximum information about unknown groundwater pumping …

Optimal sampling for the estimation of dispersion parameters in soil columns using an Iterative Genetic Algorithm

F Catania, O Paladino - Environmental Modelling & Software, 2009 - Elsevier
In groundwater modelling, an appropriate soil characterization is strongly recommended to
evaluate both the fate and transport of solutes and the performance of groundwater …

A robust experimental design for conceptual model discrimination based on information theory

HV Pham, FTC Tsai - Advances in Water Resources, 2023 - Elsevier
This study introduces firm information gain for model discrimination based on Shannon
entropy and worst-case scenario experimental design. Firm information gain is the minimal …