Stability results and qualitative properties for Mann’s algorithm via admissible perturbations technique
AbstractIn this paper we will present data dependence results for Mann iteration schene related to the fixed point inclusion. The…
Numerical benchmark study for flow in highly heterogeneous aquifers
AbstractThis article presents numerical investigations on accuracy and convergence properties of several numerical approaches for simulating steady state flows in…
Common fixed points for Presic operators via simulation functions
AbstractIn this paper, using the concept of simulation function we present existence and uniqueness results for coincidence and common fixed…
Some fixed point results regarding convex contractions of Presić type
AbstractIn the present paper, we introduce new types of Presić operators. These operators generalize the well-known Istrăţescu mappings, known as…
Benchmark for numerical solutions of flow in heterogeneous groundwater formations
AbstractThis article presents numerical investigations on accuracy and convergence properties of several numerical approaches for simulating steady state flows in…
The long time behavior and the rate of convergence of symplectic convex algorithms obtained via splitting discretizations of inertial damping systems
AbstractIn this paper we propose new numerical algorithms in the setting of unconstrained optimization problems and we give proof for…
SERS assessment of the cancer-specific methylation pattern of genomic DNA: towards the detection of acute myeloid leukemia in patients undergoing hematopoietic stem cell transplantation
AbstractIn this label-free surface-enhanced Raman scattering (SERS) study of genomic DNA, we demonstrate that the cancer-specific DNA methylation pattern translates…
On some fixed point theorems for multi-valued operators by altering distance techique
AbstractThe aim of this paper is to present some sufficient conditions for the existence and uniqueness of fixed points for…
Fixed point theorems for generalized contraction mappings on b-rectangular metric spaces
AbstractIn the present article, we study some fixed point theorems for a hybrid class of generalized contractive operators in the…
On new faster fixed point iterative schemes for contraction operators and comparison of their rate of convergence in convex metric spaces
AbstractIn this paper we present new iterative algorithms in convex metric spaces. We show that these iterative schemes are convergent…
Publications
Numerical modeling of solidification
Book summarySummary of the book… Book coverContentsCh. 1 Keywordskeyword1, PDFpdf file Referencessee the expanding block below Cite this book as:Author, title, publisher, year. Book TitlePublisherPrint ISBNAuthorsV. Soporan, C. Vamos, C.…
Read More A stabilized finite element method for inverse problems subject to the convection-diffusion equation. II: convection-dominated regime
AbstractWe consider the numerical approximation of the ill-posed data assimilation problem for stationary convection–diffusion equations and extend our previous analysis in [Numer. Math. 144, 451–477, 2020] to the convection-dominated regime.…
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A Constructive Introduction to Finite Elements Method
Book summarySummary of the book… Book coverContents1.Variational formulations 1.1. A 1D model problem 1.2. A 2D model problem (lapace eqution) 1.3. Some other boundary value problems 1.4. An eigenvalue problem…
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