Search Results - "Sevcovic, Daniel"
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On traveling wave solutions to a Hamilton–Jacobi–Bellman equation with inequality constraints
Published in Japan journal of industrial and applied mathematics (01-02-2013)“…The aim of this paper is to construct and analyze solutions to a class of Hamilton–Jacobi–Bellman equations with range bounds on the optimal response variable…”
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ON THE RISK-ADJUSTED PRICING-METHODOLOGY-BASED VALUATION OF VANILLA OPTIONS AND EXPLANATION OF THE VOLATILITY SMILE
Published in Journal of Applied Mathematics (2005)“…We analyse a model for pricing derivative securities in the presence of both transaction costs as well as the risk from a volatile portfolio. The model is…”
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On the Moore-Penrose pseudo-inversion of block symmetric matrices and its application in the graph theory
Published in Linear algebra and its applications (15-09-2023)“…The purpose of this paper is to analyze the Moore-Penrose pseudo-inversion of symmetric real matrices with application in the graph theory. We introduce a…”
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Evolution of Plane Curves Driven by a Nonlinear Function of Curvature and Anisotropy
Published in SIAM journal on applied mathematics (2001)“…In this paper we study evolution of plane curves satisfying a geometric equation v = β(k, ν), where v is the normal velocity and k and v are the curvature and…”
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Extreme and statistical properties of eigenvalue indices of simple connected graphs
Published in Discrete mathematics (01-08-2024)“…We analyze graphs attaining the extreme values of various spectral indices in the class of all simple connected graphs, as well as in the class of graphs which…”
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On a construction of integrally invertible graphs and their spectral properties
Published in Linear algebra and its applications (01-11-2017)“…Godsil (1985) defined a graph to be invertible if it has a non-singular adjacency matrix whose inverse is diagonally similar to a nonnegative integral matrix;…”
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Application of maximal monotone operator method for solving Hamilton–Jacobi–Bellman equation arising from optimal portfolio selection problem
Published in Japan journal of industrial and applied mathematics (01-09-2021)“…In this paper, we investigate a fully nonlinear evolutionary Hamilton–Jacobi–Bellman (HJB) parabolic equation utilizing the monotone operator technique. We…”
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Dynamic intertemporal utility optimization by means of Riccati transformation of Hamilton–Jacobi–Bellman equation
Published in Japan journal of industrial and applied mathematics (01-07-2019)“…In this paper we investigate a dynamic stochastic portfolio optimization problem involving both the expected terminal utility and intertemporal utility…”
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Multidimensional Linear and Nonlinear Partial Integro-Differential Equation in Bessel Potential Spaces with Applications in Option Pricing
Published in Mathematics (Basel) (01-07-2021)“…The purpose of this paper is to analyze solutions of a non-local nonlinear partial integro-differential equation (PIDE) in multidimensional spaces. Such class…”
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Curvature driven flow of a family of interacting curves with applications
Published in Mathematical methods in the applied sciences (15-05-2020)“…In this paper, we investigate a system of geometric evolution equations describing a curvature‐driven motion of a family of planar curves with mutual…”
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Computational analysis of the conserved curvature driven flow for open curves in the plane
Published in Mathematics and computers in simulation (01-08-2016)“…The paper studies the constrained curvature flow for open planar curves with fixed endpoints by means of its numerical solution. This law originates in the…”
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Computational and qualitative aspects of motion of plane curves with a curvature adjusted tangential velocity
Published in Mathematical methods in the applied sciences (01-10-2012)“…In this paper, we investigate a time‐dependent family of plane closed Jordan curves evolving in the normal direction with a velocity that is assumed to be a…”
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Analysis of the Nonlinear Option Pricing Model Under Variable Transaction Costs
Published in Asia-Pacific financial markets (01-06-2016)“…In this paper we analyze a nonlinear Black–Scholes model for option pricing under variable transaction costs. The diffusion coefficient of the nonlinear…”
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Evolution of plane curves with a curvature adjusted tangential velocity
Published in Japan journal of industrial and applied mathematics (01-10-2011)“…We study evolution of a closed embedded plane curve with the normal velocity depending on the curvature, the orientation and the position of the curve. We…”
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On solutions of a partial integro-differential equation in Bessel potential spaces with applications in option pricing models
Published in Japan journal of industrial and applied mathematics (01-09-2020)“…In this paper we focus on qualitative properties of solutions to a nonlocal nonlinear partial integro-differential equation (PIDE). Using the theory of…”
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Risks Due to Variability of K-Day Extreme Precipitation Totals and Other K-Day Extreme Events
Published in Journal of Hydrology and Hydromechanics (01-12-2009)“…Risks Due to Variability of K-Day Extreme Precipitation Totals and Other K-Day Extreme Events Several alternative definitions of extreme events are proposed…”
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Option Pricing in Illiquid Markets with Jumps
Published in Applied mathematical finance. (04-07-2018)“…The classical linear Black-Scholes model for pricing derivative securities is a popular model in the financial industry. It relies on several restrictive…”
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Editorial
Published in International journal of computer mathematics (02-08-2024)Get full text
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Editorial
Published in International journal of computer mathematics (01-08-2024)Get full text
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A Simple, Fast and Stabilized Flowing Finite Volume Method for Solving General Curve Evolution Equations
Published in Communications in computational physics (01-01-2010)Get full text
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