Authors: Wani, Irfan Ahmad, Mir, Mohammad Ibrahim, Nazir, Ishfaq
Subject Terms: zeros of a polynomial, Lacunary-type polynomial, Eneström-Kakeya theorem
Relation: Vestnik of St Petersburg University. Mathematics. Mechanics. Astronomy;Volume 10 (68); Issue 1; https://doi.org/10.21638/spbu01.2023.107; http://hdl.handle.net/11701/39327
Authors: Kuznetsov, Dmitriy Feliksovich
Subject Terms: approximation in the sense of n-th moment, approximation with probability 1, convergence in the sense of norm in Hilbert space, expansion, exponential Milstein scheme, exponential Wagner-Platen scheme, generalized iterated Fourier series, generalized multiple Fourier series, high-order strong numerical method, Hilbert-Schmidt operator, infinite-dimensional Q-Wiener process, iterated Ito stochastic integral, iterated Stratonovich stochastic integral, Ito stochastic differential equation, Legendre polynomials, mean-square approximation, multi-dimensional Wiener process, multiple Fourier-Legendre series, multiple trigonometric Fourier series, non-commutative semilinear stochastic partial differential equation, nonlinear multiplicative trace class noise, Parseval equality, stochastic Ito-Taylor expansion, stochastic Stratonovich-Taylor expansion, trace class operator
Relation: Differential Equations and Control Processes;Issue 1; http://doi.org/10.21638/11701/spbu35.2023.110; http://hdl.handle.net/11701/41283
Authors: Lebedeva, Anastasiia V., Pakulina, Antonida N.
Subject Terms: interpolation, интерполирование, error, погрешность, numerical differentiation, численное дифференцирование, numerical integration, численное интегрирование, Cauchy problem, Задача Коши, stiff systems, жесткие системы, solving systems of linear algebraic equations, решение систем линейных алгебраических уравнений, uniform approximations, равномерные приближения, alternance, альтернанс, Chebyshev polynomials, Многочлены Чебышева, Orthogonal polynomials, Ортогональные многочлены
Relation: http://hdl.handle.net/11701/28615
Availability: http://hdl.handle.net/11701/28615
Subject Terms: polynomial regression, dynamic systems, Taylor map
Relation: Vestnik of St Petersburg University. Applied Mathematics. Computer Science. Control Processes;Volume 18; Issue 4; Golovkina, A. G., Kozynchenko, V. A., & Klimenko, I. S. (2023). The method of successive approximations for constructing a model of dynamic polynomial regression. Vestnik of Saint Petersburg University. Applied Mathematics. Computer Science. Control Processes, 18(4), 487-500.; https://doi.org/10.21638/11701/spbu10.2022.404; http://hdl.handle.net/11701/39307
Authors: Frolov, Аndrei N.
Subject Terms: the Borel—Cantelli lemma, the quantitative Borel—Cantelli lemma, strong forms of the Borel—Cantelli lemma, sums of indicators of events, strong law of large numbers, almost surely convergence, dynamical systems, polynomial decay of correlations
Relation: Vestnik of St Petersburg University. Mathematics. Mechanics. Astronomy;Volume 9 (67); Issue 4; Frolov А.N. On strong forms of the Borel—Cantelli lemma and dynamical systems with polynomial decays of correlations. Vestnik of Saint Petersburg University. Mathematics. Mechanics. Astronomy, 2022, vol. 9 (67), issue 4, pp. 644–652. https://doi.org/10.21638/spbu01.2022.407 (In Russian); https://doi.org/10.21638/spbu01.2022.407; http://hdl.handle.net/11701/38722
Authors: Lebedeva, Anastasiia V, Pakulina, Antonida N.
Subject Terms: interpolation, интерполирование, error, погрешность, numerical differentiation, численное дифференцирование, numerical integration, численное интегрирование, Cauchy problem, Задача Коши, stiff systems, жесткие системы, solving systems of linear algebraic equations, решение систем линейных алгебраических уравнений, uniform approximations, равномерные приближения, alternance, альтернанс, Chebyshev polynomials, Многочлены Чебышева, Orthogonal polynomials, Ортогональные многочлены
Relation: http://hdl.handle.net/11701/29858
Availability: http://hdl.handle.net/11701/29858
Subject Terms: Taylor Series Method, total polynomial PDE system, polynomial system, numerical PDE system integration
Relation: Vestnik of St Petersburg University. Applied Mathematics. Computer Science. Control Processes;Volume 17; Issue 1; Babadzanjanz L. K., Pototskaya I. Yu., Pupysheva Yu. Yu. Estimates in the Taylor series method for polynomial total systems of PDEs. Vestnik of Saint Petersburg University. Applied Mathematics. Computer Science. Control Processes, 2021, vol. 17, iss. 1, pp. 27–39.; https://doi.org/10.21638/11701/spbu10.2021.103; http://hdl.handle.net/11701/28421
Authors: Agafonova, Irina V., Malozemov, Vassili N.
Subject Terms: extremal properties of polynomials, alternance, Chebyshev polynomials, Zolotarev polynomials
Relation: Vestnik of St Petersburg University. Mathematics. Mechanics. Astronomy;Volume 7 (65); Issue 1; Agafonova I.V., Malozemov V.N. Extremal polynomials connected with Zolotarev polynomials. Vestnik of Saint Petersburg University. Mathematics. Mechanics. Astronomy, 2020, vol. 7 (65), issue 1, pp. 3–14.; https://doi.org/10.21638/11701/spbu01.2020.101; http://hdl.handle.net/11701/17323
Authors: Rather, Nisar Ahmad, Ali, Liyaqat, Gulzar, Suhail
Subject Terms: Lp-inequalities, polar derivative, polynomials
Relation: Vestnik of St Petersburg University. Mathematics. Mechanics. Astronomy;Volume 8 (66); Issue 3; Rather N.A., Ali L., Gulzar S. Lp-inequalities for the polar derivative of a lacunary-type polynomial. Vestnik of Saint Petersburg University. Mathematics. Mechanics. Astronomy, 2021, vol. 8 (66), issue 3, pp. 502–510.; https://doi.org/10.21638/spbu01.2021.311; http://hdl.handle.net/11701/33265
Authors: Rather, Nisar Ahmad, Dar, Ishfaq, Iqbal, Aaqib
Subject Terms: polynomials, zeros, complex domain
Relation: Vestnik of St Petersburg University. Mathematics. Mechanics. Astronomy;Volume 8 (66); Issue 2; Rather N.A., Dar I., Iqbal A. On the regions containing all the zeros of polynomials and related analytic functions. Vestnik of Saint Petersburg University. Mathematics. Mechanics. Astronomy, 2021, vol. 8 (66), issue 2, pp. 331–337.; https://doi.org/10.21638/spbu01.2021.212; http://hdl.handle.net/11701/29887
Authors: Basov, Vladimir V., Zefirov, Artem V.
Subject Terms: generalized normal form, quasi-homogeneous polynomial, resonance equation
Relation: Vestnik of St Petersburg University. Mathematics. Mechanics. Astronomy;Volume 8 (66); Issue 1; Basov V.V., Zefirov A.V. Generalized normal forms of the systems of ordinary differential equations with a quasi-homogeneous polynomial (αx21 + x2, x1x2) in the unperturbed part. Vestnik of Saint Petersburg University. Mathematics. Mechanics. Astronomy, 2021, vol. 8 (66), issue 1, pp. 12–28.; https://doi.org/10.21638/spbu01.2021.102; http://hdl.handle.net/11701/28430
Subject Terms: Taylor series method, total linear PDE system, polynomial system, numerical PDE system integration
Relation: Vestnik of St Petersburg University. Applied Mathematics. Computer Science. Control Processes;Volume 16; Issue 2; Babadzanjanz L. K., Pototskaya I. Yu., Pupysheva Yu. Yu. Estimates for Taylor series method to linear total systems of PDEs. Vestnik of Saint Petersburg University. Applied Mathematics. Computer Science. Control Processes, 2020, vol. 16, iss. 2, pp. 112–120.; https://doi.org/10.21638/11701/spbu10.2020.203; http://hdl.handle.net/11701/19013
Authors: Melas, Vyacheslav B., Shpilev, Petr V.
Subject Terms: c-optimal designs, f'(z)-optimal designs, optimal designs for estimating the slope, polynomial regression models with no intercept
Relation: Vestnik of St Petersburg University. Mathematics. Mechanics. Astronomy;Volume 7 (65); Issue 2; Melas V.B., Shpilev P.V. Constructing c-optimal designs for polynomial regression with no intercept. Vestnik of Saint Petersburg University. Mathematics. Mechanics. Astronomy, 2020, vol. 7 (65), issue 2, pp. 331–342.; https://doi.org/10.21638/11701/spbu01.2020.215; http://hdl.handle.net/11701/17950
Authors: Pantea, Casian, Romanovski, Valery G.
Subject Terms: polynomial system of ODEs, Andronov—Hopf bifurcation, invariant subspace, biochemical reactions networks
Relation: Vestnik of St Petersburg University. Mathematics. Mechanics. Astronomy;Volume 7 (65); Issue 2; Pantea C., Romanovski V.G. Qualitative studies of some biochemical models. Vestnik of Saint Petersburg University. Mathematics. Mechanics. Astronomy, 2020, vol. 7 (65), issue 2, pp. 319–330.; https://doi.org/10.21638/11701/spbu01.2020.214; http://hdl.handle.net/11701/17948
Authors: Malozemov, Vassili N., Plotkin, Artem V.
Subject Terms: strict linear separation, strict polynomial separation, linear programming, mathematical diagnostics
Relation: Vestnik of St Petersburg University. Mathematics. Mechanics. Astronomy;Volume 6 (64); Issue 2; Malozemov V.N., Plotkin A.V. Strict polynomial separation of two sets. Vestnik of Saint Petersburg University. Mathematics. Mechanics. Astronomy, 2019, vol. 6 (64), issue 2, pp. 232–240.; https://doi.org/10.21638/11701/spbu01.2019.205; http://hdl.handle.net/11701/15555
Authors: Rakhmelevich, Igor V.
Subject Terms: partial differential equation, method of separation of variables, power-law nonlinearity, solution of travelling wave type, self-similar solution, pseudo-polynomial solution
Relation: Vestnik of St Petersburg University. Mathematics. Mechanics. Astronomy;Volume 5(63); Issue 1; Rakhmelevich I.V. Multi-dimensional non-autonomous equation contaning the production of powers of partial derivatives. Vestnik SPbSU. Mathematics. Mechanics. Astronomy, 2018, vol. 5 (63), issue 1, pp. 119–130.; http://hdl.handle.net/11701/9505
Subject Terms: solution method, Legendre polynomials, linear algebraic equations, damping, convergence of numerical solution, validation, natural frequency, loss factor
Relation: Vestnik of St Petersburg University. Mathematics. Mechanics. Astronomy;Volume 5 (63); Issue 4; Parshina L. V., Ryabov V.M., Yartsev B.A. Energy dissipation during vibrations of non-uniform composite structures. 2. Method of solution. Vestnik of Saint Petersburg University. Mathematics. Mechanics. Astronomy, 2018, vol. 5 (63), issue 4, pp. 678–688.; http://hdl.handle.net/11701/15136
Authors: Nurmagomedov, Alim A., Rasulov, Nabiyullah K.
Subject Terms: polynomial, orthogonal system, set, asymptotic formula, discrete Fourier sums, Lebesgue function
Relation: Vestnik of St Petersburg University. Mathematics. Mechanics. Astronomy;Volume 5(63); Issue 3; Nurmagomedov A.A., Rasulov N.K. Double-sided to Lebesgue function of Fourier sums by polynomials orthogonal on non-uniform grids. Vestnik of Saint Petersburg University. Mathematics. Mechanics. Astronomy, 2018, vol. 5 (63), issue 3, pp. 417–430.; http://hdl.handle.net/11701/14885
Authors: Жилин Денис Евгеньевич, Zilin Denis Evgenevic
Contributors: Хазанов Владимир Борисович, Hazanov Vladimir Borisovic, Бурова Ирина Герасимовна, Burova Irina Gerasimovna
Subject Terms: полиномиальный сплайн, неполиномиальный сплайн, интегральное уравнение Вольтерра, polynomial spline, non-polynomial spline, Volterra integral equation
Relation: 801629; http://hdl.handle.net/11701/41264
Availability: http://hdl.handle.net/11701/41264
Subject Terms: system of divisibilities of values of linear polynomials, NP-hardness, NP-completeness
Relation: Vestnik of St Petersburg University. Mathematics. Mechanics. Astronomy;Volume 4 (62); Issue 2; Kosovskii N.K., Kosovskaya T.M., Kosovskii N.N., Starchak M.R. NP-complete problems for systems of divisibilities of values of linear polynomials. Vestnik SPbSU. Mathematics. Mechanics. Astronomy, 2017, vol. 4 (62), issue 2, pp. 236–246.; http://hdl.handle.net/11701/6946