Browsing Division of Interdisciplinary Research by Subject "Research Subject Categories::MATHEMATICS"
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Algorithms for Estimating Integrals in High Dimensional Spaces
Sampling, estimation and integration in high dimensional continuous spaces is required in diverse areas ranging from modeling multi-particle physical systems and optimization to inference from data. When the number of ... -
Constrained Stochastic Differential Equations on Smooth Manifolds.
Dynamical systems with uncertain fluctuations are usually modelled using Stochastic Differential Equations (SDEs). Due to operation and performance related conditions, these equations may also need to satisfy the constraint ... -
Generalized local projection stabilized finite element methods for boundary value problems
The primary goal of this thesis work is to study a priori analysis based on the generalized local projection stabilized (GLPS) finite element methods for the system of linear partial differential equations of first and ... -
An importance sampling in N Sphere Monte Carlo and its performance analysis for high dimensional integration
Statistical methods for estimating integrals are indispensable when the number of dimensions (parameters) become greater than ~ 10, where numerical methods are unviable in general. Well-known statistical methods like ...