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Puzynin, I.V.

Proceedings of the international meeting on problems of mathematical simulation in nuclear physics researches

Proceedings of the international meeting on problems of mathematical simulation in nuclear physics researches

AbstractAbstract

[en] Some problems which present interest for theoretical physics problems and the development of operator-difference schemes are considered. The solution of the scattering problem as eigenvalue problem is given. It is shown that the above method of the scattering problem solution provides the possibility to derive new functional dependences for scattering matrix parameters. It is shown as well that the complex organization of the calculation may by 15-20% reduce the calculation volume. In the iteration process one can effecively employ methods for specifying solutions for succession of condensing lattices, such as Richardson extrapolation, Pade-extrapolation and others. Newton schemes and those of perturbation theory are considered. Investigation trends presenting interest for development of numerical methods for eigenvalue problem solution in computerized models of nuclear physics are enumerated

[ru]

Original Title

Chislennye metody resheniya zadach na sobstvennye znacheniya

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Joint Inst. for Nuclear Research, Dubna (USSR); 235 p; 1981; p. 103-113; International meeting on problems of mathematical simulation in nuclear physics researches; Dubna (USSR); 30 Sep - 2 Oct 1980; 21 refs.

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Zhanlav, T.; Puzynin, I.V.

Joint Inst. for Nuclear Research, Dubna (USSR). Lab. of Computing Techniques and Automation

Joint Inst. for Nuclear Research, Dubna (USSR). Lab. of Computing Techniques and Automation

AbstractAbstract

[en] The problem of calculation of the resonance states in spherical nuclei is formulated as an eigenvalue one. Two ways of defining a boundary condition at infinity for a wavefunction are suggested. For solving numerically the obtained eigenvalue problem a modification of the continuous analog of Newton's method is used which allows the resonance energy and wavefunction to be found to a high accuracy. 18 refs.; 1 tab

Original Title

Vychislenie kompleksnykh ehnergij rezonansnykh sostoyanij

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1991; 10 p

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Joint Inst. for Nuclear Research, Dubna (USSR). Lab. of Computing Techniques and Automation

AbstractAbstract

[en] Computational scheme for solving the scattering problem based on its representation as a nonlinear boundary value problem for a multichannel case is generalized. The spline-function method and the continuous analog of Newton method including the perturbation operator are used for numerical solution of obtained nonlinear problem. The proposed scheme has an accuracy of 0(h

^{4}), where h is a step of an uniform mesh. 16 refs.; 3 tabsOriginal Title

Mnogokanal'naya zadacha rasseyaniya v postanovke nelinejnoj granichnoj zadachi

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1990; 9 p

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Joint Inst. for Nuclear Research, Dubna (USSR). Lab. of Computing Techniques and Automation

AbstractAbstract

[en] An iterative scheme for a nonlinear equation obtained on the basis of the stabilization method is studied. The original problem is associated with a nonlinear evolutionary equation. The corresponding discrete scheme leads to nonlinear problems which are solved by the continuous analog of Newton's method. The results have been used to solve the boundary value problem for a nonlinear differential equation of second order. The theorems about the monotonic convergence both of the iterative scheme as a whole and of the iterative Newton scheme at evergy step of iteration are proved. 17 refs

Original Title

Iteratsionnaya skhema dlya nelinejnykh zadach, osnovannaya na metode ustanovleniya

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1991; 8 p

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Ivanov, V.G.; Puzynin, I.V.

Collection of proceedings of the international conference on programming and mathematical methods for solution of physical problems

Collection of proceedings of the international conference on programming and mathematical methods for solution of physical problems

AbstractAbstract

[en] The paper deals with problems, related to modern tendencies in creation and development of systems of data processing for electron experiments, JINR problems in the field of data processing and problems, which can arise during their solution. 10 refs

Original Title

Problemy obrabotki ehksperimental'nykh dannykh v Dubne

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Joint Inst. for Nuclear Research, Dubna (Russian Federation); 147 p; 1994; p. 40-52; International conference on programming and mathematical methods for solution of physical problems; Mezhdunarodnoe soveshchanie po programmirovaniyu i matematicheskikm metodam resheniya fizicheskikh zadach; Dubna (Russian Federation); 14-19 Jun 1993

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Joint Inst. for Nuclear Research, Dubna (USSR). Lab. of Computing Techniques and Automation

AbstractAbstract

[en] The convergence conditions for the modification of the continuous analog of the Newton method are considered, and properties of the obtained iterative scheme are studied. A connection between the evolutionary Newtonian process and the continuous of R-process of Newton type is shown. 25 refs

Original Title

O modifikatsii nepreryvnogo analoga metoda N'yutona

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1991; 10 p

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Baatar, D.; Puzynin, I.V.

Joint Inst. for Nuclear Research, Dubna (USSR). Lab. of Computing Techniques and Automation

Joint Inst. for Nuclear Research, Dubna (USSR). Lab. of Computing Techniques and Automation

AbstractAbstract

[en] The quantum-mechanical problem about Stark effect is formulated as the two-parametric spectral problem. For its solution the Newton iteration scheme is used. The computational errors are analysed. The computation results are compared with those obtained by different methods. The efficiency of the method developed which does not depend on the problem parameter values is demonstrated

[ru]

Original Title

Zadacha ob ehffekte Shtarka kak dvukhparametricheskaya spektral'naya zadacha

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1981; 11 p; 14 refs.; 2 figs.; 3 tabs.

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Ajrapetyan, R.G.; Puzynin, I.V.

Joint Inst. for Nuclear Research, Dubna (Russian Federation). Lab. of Computing Techniques and Automation

Joint Inst. for Nuclear Research, Dubna (Russian Federation). Lab. of Computing Techniques and Automation

AbstractAbstract

[en] A modification of the Continuous analogy of Newton Method for the numerical solving of the nonlinear problems is suggested. It permits one to replace the inversion of the derivative operator on every step of iterations by its inversion only in the initial approximation point. Then the extended system of the differential equations in Hilbert space, introduced in the work, permits the realization of the iterative process with the simultaneous calculation of the inverse derivative operator. The convergence theorem is proved for the method under almost the same conditions as for CANM. Numerical calculations for the model problem (Kirchhoff equation) have shown the effectiveness and adequately fast convergence of the iterative schemes based on the suggested method. 8 refs., 1 fig

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1996; 16 p; Submitted to Computer Physics Communications.

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Joint Inst. for Nuclear Research, Dubna (USSR). Lab. of Computing Techniques and Automation

AbstractAbstract

[en] The one-dimensional scattering problem is formulated as a boundary value problem for wave function, which can be solved by one of standard numerical methods. The transparency and reflection coefficients are expressed through the value of wave function at infinity. 6 refs.; 1 tab

Original Title

O vychislenii koehffitsientov prozrachnosti i otrazheniya v odnomernoj zadache rasseyaniya

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1990; 4 p

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Joint Inst. for Nuclear Research, Dubna (USSR). Lab. of Computing Techniques and Automation

AbstractAbstract

[en] The stabilization method is used for solving nonlinear differential equations of second order. One sufficient condition of a solution is given. Computational scheme is based on the continuous analog of the Newton method and spline-collacation method. The convergence of iterative procedure and of approximate solution are proved. The efficiently of the constructed algorithm is illustrated by numerical examples

Original Title

Chislennye skhemy v metode stabilizatsii dlya nelinejnykh differentsial'nykh uravnenij vtorogo poryadka

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1987; 19 p; 11 refs.; 1 fig.; 12 tabs.

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