The numerical simulation of multiple scenarios easily becomes computationally prohibitive
for cardiac electrophysiology (EP) problems if relying on usual high-fidelity, full order models …

In this paper, we resolve several long-standing issues dealing with optimal pointwise in time
error bounds for proper orthogonal decomposition (POD) reduced order modeling of the …

In this study, we mainly employ a proper orthogonal decomposition (POD) to lower the
dimension for the unknown Crank–Nicolson finite element (FE)(CNFE) solution coefficient …

After space discretization employing traditional dynamic isogeometric analysis of structures
(composite type) with/without dissimilar materials, the issues that persist include either using …

In this paper, we address the effective and accurate solution of problems with parameterized
geometry. Considering the attractive framework of isogeometric analysis, which enables a …

In this contribution, we coupled the isogeometric analysis to a reduced order modelling
technique in order to provide a computationally efficient solution in parametric domains. In …

Discretization methods such as finite differences or finite elements were usually employed to
provide high fidelity solution approximations for reduced order modeling of parameterized …

A new approximation technique, called Reference Point Method (RPM), is proposed in order
to reduce the computational complexity of algebraic operations for constructing reduced …

We consider reduced order modelling of unsteady convection-dominated convection-
diffusion-reaction problems with proper orthogonal decomposition (POD) in combination …

In this paper, we investigate the proper orthogonal decomposition (POD) method to
numerically solve the forward Kolmogorov equation (FKE). Our method aims to explore the …