Browsing by Study direction "A02  Taikomoji matematika / Applied mathematics"
Now showing items 120 of 26

1D convolutional neural networks for solution of the biosensor inverse problem
(Mathematical Modelling and Analysis [MMA2023] : 26th international conference, May 29–June 2, 2023, Jurmala, Latvia : abstracts, 2023) 
A comparison of two templates for three level discrete schemes
(29th Biennial Conference on Numerical Analysis 27 – 30 June, 2023, 2023)In this talk we consider two templates for construction and analysis of three level discrete schemes. 
A method for accelerated computation of the Riemann zeta function on the complex plane
(Publicationes mathematicae Debrecen, 2022)The paper extends the study of efficient algorithms for the computation of the Riemann zeta function on the complex plane. It is dedicated to numerical aspects of the implementation of the algorithm. Since the straightforward ... 
Additive splitting methods for parallel solutions of evolution problems
(Journal of computational physics, 2021)We demonstrate how a multiplicative splitting method of order $P$ can be utilized to construct an additive splitting method of order $P+3$. The weight coefficients of the additive method depend only on $P$, which must be ... 
Application of Bayesian approach to reduce the uncertainty in expert judgments by using a posteriori mean function
(Mathematics: Special issue: Decision making and its applications, 2021)Much applied research uses expert judgment as a primary or additional data source, thus the problem solved in this publication is relevant. Despite the expert’s experience and competence, the evaluation is subjective and ... 
Comparative analysis of the simple WISP and some prominent MCDM methods: a Python approach
(Axioms: Multiplecriteria decisionmaking and computational intelligence: recent applications, 2021)This article presents a comparison of the results obtained using the newly proposed Simple Weighted Sum Product method and some prominent multiple criteria decisionmaking methods. For comparison, several analyses were ... 
Efficient numerical algorithms for partially dimension reduced nonlocal heat conduction problems
(Mathematical Modelling and Analysis [MMA2023] : 26th international conference, May 29–June 2, 2023, Jurmala, Latvia : abstracts, 2023)We construct and investigate efficient parallel finite volume schemes for solution of partially dimension reduced nonlocal heat conduction problems. 
Finite volume ADI scheme for hybrid dimension heat conduction problems set in a crossshaped domain
(Lithuanian mathematical journal, 2022)In this paper, we construct an alternating direction implicit (ADI) type finite volume numerical scheme to solve a nonclassical nonstationary heat conduction problem set in a 2D crossshaped domain. We reduce the original ... 
Highorder two and three level schemes for solving fractional powers of elliptic operators
(Numerical mathematics and advanced applications ENUMATH 2019: European conference, Delft University of Technology, Egmond aan Zee, The Netherlands, September 30  October 4, 2019, 2021)In this paper we develop and investigate numerical algorithms for solving the fractional powers of discrete elliptic operators with Vh a finite element or finite difference approximation space. Our goal is to construct ... 
Information reliability assessment and filtering for decision making. Case study of Lithuanian and China students’ life goals survey data
(Symmetry: Special issue: Symmetric and asymmetric data in solution models, Part II, 2021)This article presents the methodology and tools to evaluate the reliability of quantitative sociological research data. The problem of filtering unreliable data is usually solved by statistical methods. This article proposes ... 
Mathematical modelling and hybrid strategies for risk and uncertainty management
(2022)Risk management is a decisionmaking process that takes into consideration political, social, economic and engineering factors, with relevant risk assessments relating to a potential hazard. Mathematics uses reasoned ... 
Mixedstable models: an application to highfrequency financial data
(Entropy, 2021)The paper extends the study of applying the mixedstable models to the analysis of large sets of highfrequency financial data. The empirical data under review are the German DAX stock index yearly logreturns series. ... 
Numerical modeling of thrombocyte interaction mechanics with a blood vessel wall /
(Mathematics: Special issue: Optimization and simulation in mechanical engineering and computer aided design., 2023.)A platelet (thrombocyte) can be in two states, activated and inactivated. The paper analyzes the interaction of an inactive platelet cell with the wall of a blood vessel. The goal is to analyze and represent the dynamics ... 
On construction and properties of compact 4th order finitedifference schemes for the variable coefficient wave equation
(Journal of scientific computing, 2023)We consider an initialboundary value problem for the ndimensional wave equation with the variable sound speed, n≥ 1. We construct threelevel implicit in time and compact in space (threepoint in each space direction) ... 
On construction of partially dimensionreduced approximations for nonstationary nonlocal problems of a parabolic type
(Mathematics: Special issue: "Nonlinear partial differential equations: exact solutions, symmetries, methods, and applications II", 2023)The main aim of this article is to propose an adaptive method to solve multidimensional parabolic problems with fractional power elliptic operators. The adaptivity technique is based on a very efficient method when the ... 
On higherorder compact ADI schemes for the variable coefficient wave equation
(Applied Mathematics and Computation, 2021)We consider an initialboundary value problem for the $n$dimensional wave equation, $n\geq 2$, with the variable sound speed with the nonhomogeneous Dirichlet boundary conditions. We construct and study threelevel in ... 
On stability, convergence and scalability analysis of parallel algorithms for solution of parabolic problems with fractional power elliptic operators
(2nd International Workshop on Numerical Solution of Fractional Differential Equations and Applications (NSFDE&A’22), June 510, 2022, Sozopol, Bulgaria : proceedings of short communications, 2022) 
Oneyear treatment nonpersistence rates in hypertensive patients in Lithuania
(Research in social and administrative pharmacy: Conference Abstracts: Next Chapter in Patient Care 2021: patientcentered approach and digital innovation inhealthcare (NCPC 2021) 79 April 2022, Parnu, Estonia, 2022) 
Organinių molekulių Furjė transformacijos spektroskopijos spektrinių požymių nustatymo metodai
Baigiamajame magistro darbe nagrinėjama spektrinių komponentų išskyrimo iš mišinių spektrų problema, jos sprendimo būdai ir jų taikymai terahercinių (THz) bangų Furjė transformacijos spektroskopijai. Aprašytas matematinis ... 
Parallel 3D ADI scheme for hybrid dimension model of heat conduction problem
(Mathematical Modelling and Analysis [MMA2022] : 25th international conference, May 30  June 2, 2022, Druskininkai, Lithuania : abstracts, 2022)The model describes the heat equation in 3D domains, and this problem is reduced to a hybrid dimension problem, keeping the initial dimension only in some parts and reducing it to onedimensional equation within the domains ...