Constrained functional similarity by minimizing the H1 seminorm and applications to engineering problems

S Filipov, I Gospodinov - Science, Engineering and Education, 2016 - jsee.uctm.edu
Often in engineering problems a function and a set of constraints are given and a new
function is sought that is the “closest” to the original one and also satisfies the constraints …

Solving Function Approximation Problems Using the-Norm of the Log Ratio as a Metric

ID Gospodinov, SM Filipov, AV Atanassov - International Conference on …, 2018 - Springer
This article considers the following function approximation problem: Given a non-negative
function and a set of equality constraints, find the closest to it non-negative function which …

Performance of modified non-linear shooting method for simulation of 2nd order two-point bvps

A Manaf, N Alias, M Habib - Jurnal Teknologi, 2016 - journals.utm.my
In this research article, numerical solution of nonlinear 2nd order two-point boundary value
problems (TPBVPs) is discussed by the help of nonlinear shooting method (NLSM), and …

Laplacian preserving transformation of surfaces and application to boundary value problems for Laplace's and Poisson's equations

I Gospodinov, K Krumov, S Filipov - Mathematical Modeling, 2017 - stumejournals.com
This paper shows that the constrained similarity transformation of surfaces under boundary
constraints is a Laplacian preserving transformation. First, a general proof is presented and …

Geometric Versus Arithmetic Difference and-Seminorm Versus-Norm in Function Approximation

SM Filipov, ID Gospodinov, AV Atanassov… - Recent Advances in …, 2019 - Springer
In solving function approximation problems, sometimes, it is necessary to ensure non-
negativity of the result and approximately uniform relative deviation from the target. In these …

[PDF][PDF] Computation of Volterra and Fredholm Integro-Differential Nonlinear Boundary Value Problems by a Modified Regula Falsi-Bisection Shooting Approach

OO ONYEJEKWE - wseas.com
A modified Regula Falsi shooting method approach is deployed to solve a set of Volterra
and Fredholm integro-nonlinear boundary value problems. Efforts to solve this class of …

[PDF][PDF] Geometric vs Arithmetic Difference and H-Seminorm vs L 2-Norm in Function Approximation

SM Filipov, ID Gospodinov, AV Atanassov… - researchgate.net
In solving function approximation problems, sometimes, it is necessary to ensure non-
negativity of the result and approximately uniform relative deviation from the target. In these …

Constrained similarity of 2-D trajectories by minimizing the H1 semi-norm of the trajectory difference

SM Filipov, ID Gospodinov - arxiv preprint arxiv:1608.08541, 2016 - arxiv.org
This paper defines constrained functional similarity between 2-D trajectories via minimizing
the H1 semi-norm of the difference between the trajectories. An exact general solution is …