Browsing Moksliniai ir apžvalginiai straipsniai / Research and Review Articles by Research field "N 001 - Matematika / Mathematics"
Now showing items 1-20 of 806
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A "converse'' stability condition is necessary for a compact higher order scheme on non-uniform meshes for the time-dependent Schrödinger equation
(Applied mathematics letters, 2018)The stability bounds and error estimates for a compact higher order Numerov-Crank-Nicolson scheme on non-uniform spatial meshes for the 1D time-dependent Schrödinger equation have been recently derived. This analysis has ... -
A compact higher-order finite-difference scheme for the wave equation can be strongly non-dissipative on non-uniform meshes
(Applied mathematics letters, 2021)We study necessary conditions for stability of a Numerov-type compact higher-order finite-difference scheme for the 1D homogeneous wave equation in the case of non-uniform spatial meshes. We first show that the uniform in ... -
A comparison of discrete schemes for numerical solution of parabolic problems with fractional power elliptic operators
(Mathematics: Section Computational and Applied Mathematics, 2021)The main aim of this article is to analyze the efficiency of general solvers for parabolic problems with fractional power elliptic operators. Such discrete schemes can be used in the cases of non-constant elliptic operators, ... -
A comparison of parallel algorithms for numerical solution of parabolic problems with fractional power elliptic operators
(Axioms, 2022)In this article we construct parallel solvers analyze the efficiency and accuracy of general parallel solvers for three dimensional parabolic problems with the fractional power of elliptic operators. The proposed discrete ... -
A complete metric in the function space Dα[0,∞)
(Acta applicandae mathematicae : an international survey journal on applying mathematics and mathematical applications, 2003)Subspaces Dα of D[0,1] and of D[0,∞) are defined. With constructed metrics dα, Dα are shown to be complete separable metric spaces. Conditions for tightness of probability measures in Dα are given. -
A complex proportional assessment method for group decision making in an interval-valued intuitionistic fuzzy environment
(Technological and economic development of economy, 2013)Multi-criteria decision making is an implicational field that concerns with selecting or designing the best scenarios among a finite set of scenarios based on a finite set of criteria. Different methods and techniques for ... -
A family of univalent polynomials in an angular domain
(Siberian mathematical journal, 2009)We study the properties of symmetric polynomials of a particular form and use them to find a maximal angular domain of univalence for some family of polynomials. -
A finite-difference scheme for a nonlinear model of wood drying process
(Lietuvos matematikos rinkinys, 2003)In this paper we discuss the construction and analysis of a finite-difference scheme for solving a system of two nonlinear differential equations. The mathematical model describes the process of moisture motion in a wood. ... -
A framework of evaluation of commercial banks
(Intelektinė ekonomika = Intellectual economics : scientific research journal, 2011)The current crisis increases the threat of failure of commercial banks, which is being indicated by statistically an increasing number of already failed commercial banks. It is shown that deposit insurance schemes do not ... -
A generalization of the Hopf-Cole transformation
(Symmetry, integrability and geometry: methods and applications (SIGMA), 2013)A generalization of the Hopf-Cole transformation and its relation to the Burgers equation of integer order and the diffusion equation with quadratic nonlinearity are discussed. The explicit form of a particular analytical ... -
A local limit theorem for coefficients of modified Borwein's method
(Glasnik matematički. Ser.III, 2019)The paper extends the study of the modified Borwein method for the calculation of the Riemann zeta-function. It presents an alternative perspective on the proof of a local limit theorem for coefficients of the method. The ... -
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 ... -
A method of determining risk zones of investment in real estate
(Control and cybernetics, 2006)In the real estate sector, especially in construction or purchasing of commercial buildings, adequate evaluation of market development and property management is of paramount importance. In this paper, application of ... -
A mixed-stable approach to the management of the portfolio using high-frequency financial data
(Information Technology and Control, 2017)This paper considers the problem of portfolio selection using high-frequency fnancial time series. Such time series often exhibit the stagnation effect when the assets’ returns are not changing. This effect causes a lot of ... -
A monotonic finite-difference scheme for a parabolic problem with nonlocal conditions
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A new approach to examine non-linear and mediated growth and convergence outcomes of cohesion policy
(Economies, 2021)This paper contributes to a wide range of studies on Cohesion policy (CP) outcomes by proposing a new approach to directly examine its effect on convergence. We extended the non-linear specification of the conditional ... -
A new eigenvalue problem for the difference operator with nonlocal conditions
(Nonlinear analysis: modelling and control, 2019)In the paper, the spectrum structure of one-dimensional differential operator with nonlocal conditions and of the difference operator, corresponding to it, has been exhaustively investigated. It has been proved that the ... -
A novel sorting method topsis-sort: an application for tehran environmental quality evaluation
(E&M Economics and Management = E&M Ekonomie a management, 2016)Many real-life problems are multi-objective by nature that requires evaluation of more than one criterion, therefore MCDM has become an important issue. In recent years, many MCDM methods have been developed; the existing ... -
A numerical algorithm for simulation of the Q-switched fiber laser using the travelling wave model
(Lithuanian mathematical journal, 2008)We develop a finite-difference scheme for approximation of a system of nonlinear PDEs describing the Qswitching process. We construct it by using staggered grids. The transport equations are approximated along characteristics, ... -
A numerical experiment on mathematical model of forecasting the results of knowledge testing
(Technological and economic development of economy, 2011)In this paper the new approach to the forecasting the results of knowledge testing, proposed earlier by authors, is extended with four classes of parametric functions, the best fitting one from which is selected to approximate ...