Browsing Moksliniai ir apžvalginiai straipsniai / Research and Review Articles by Study direction "A02 - Taikomoji matematika / Applied mathematics"
Now showing items 1-17 of 17
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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: Multiple-criteria decision-making 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 decision-making methods. For comparison, several analyses were ... -
Finite volume ADI scheme for hybrid dimension heat conduction problems set in a cross-shaped 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 cross-shaped domain. We reduce the original ... -
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 ... -
Mixed-stable models: an application to high-frequency financial data
(Entropy, 2021)The paper extends the study of applying the mixed-stable models to the analysis of large sets of high-frequency financial data. The empirical data under review are the German DAX stock index yearly log-returns 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 finite-difference schemes for the variable coefficient wave equation
(Journal of scientific computing, 2023)We consider an initial-boundary value problem for the n-dimensional wave equation with the variable sound speed, n≥ 1. We construct three-level implicit in time and compact in space (three-point in each space direction) ... -
On construction of partially dimension-reduced 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 higher-order compact ADI schemes for the variable coefficient wave equation
(Applied Mathematics and Computation, 2021)We consider an initial-boundary 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 three-level in ... -
Parallel 3D ADI scheme for partially dimension reduced heat conduction problem
(Informatica, 2022)This 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 one-dimensional equation within the domains ... -
Selection of computer-aided design software systems using the AHP method
(Baltic journal of modern computing, 2023)There is currently a wide range of computer-aided design (CAD) software systems available on the market, but there is no methodology for selecting the bestsuited one for the user, considering various evaluation criteria. ... -
Sensitivity analysis in multi-criteria decision making: A state-of-the-art research perspective using bibliometric analysis
(Expert systems with applications, 2023)In the present era, the implementation of scientifically grounded Multi-Criteria Decision Making (MCDM) has emerged as a pivotal solution to diverse decision-making challenges across various domains. Although a substantial ... -
Sensitivity study of TOPSIS and COPRAS methods with respect to normalization techniques
(Baltic journal of modern computing, 2022)In the most MADM (Multiple Attribute Decision Making) methods the attribute values are provided to transform into one dimension. This restructuring is carried out in accordance with appropriate normalization techniques. ... -
Stability analysis of the Peaceman-Rachford method for parabolic equations with nonlocal conditions
(Electronic journal of diferential equations, 2022)We consider an efficient finite difference method solving of two-dimensional parabolic equations with nonlocal conditions. The specific feature of the investigated problem is that the nonlocal condition contains the values ... -
Voting-KEmeny median indicator ranks accordance method for determining criteria priority and weights in solving multi-attribute decision-making problems
(Soft computing, 2023)The KEmeny Median Indicator Ranks Accordance (KEMIRA) method is one of the newest multi-attribute decision-making (MADM) methods that is used for problems in which criteria are inherently divided into two or more categories. ...