Konyukhova Nadezhda Borisovna (Lyalikova N. B. formerly, up to 1965), birth 20.10.1941, Tomsk, Russia; married, one daughter.
Speciality: Mathematics, Numerical Methods, Differential Equations (DEs), Mathematical Physics.
Current position (since 1991): Head of the Laboratory of Numerical Methods for Ordinary Differential Equations (ODEs) in the Dorodnicyn Computing Centre of Russian Academy of Sciences (RAS).
Education: Diploma (MSc), Moscow Institute of Physics and Technology, 1959-1965; post-graduate studentship in the same Institute, 1965-1969.
Degree: Candidate of Sciences in Mathematics and Physics (PhD), 1971. Thesis: On segregation of bounded solutions for some systems of ODEs.
Academic rank: Senior research worker (RW), 1980.
Office (since 1969): Department of Numerical Methods, Dorodnicyn Computing Centre of RAS (Acad. Sci. of USSR formerly), Vavilov str., 40, 119991 Moscow GSP-1, Russia.
Career: Junior RW 1969-1971; Junior RW Cand. of Sci.
1971-1978; Senior RW 1978-1986; Leading RW 1986-1991; Head of
the Laboratory of Numerical Methods for ODEs 1991 - present.
Among the pupils three ones are Cand. of Sci. and one was Prof. Dr. (in Hungary).
Publications: More than 160 publications since 1965 (as
Lyalikova N.B. in 1965, 1966); among them 94 papers are in
the refereed mathematical and physical journals and transactions,
namely in: Zh. Vychisl. Matem. i Matem. Fiz.
(English transl. in (U.S.S.R.) Comput. Maths Math.
Phys.); Dokl. Akad. Nauk SSSR (Sov. Math. Dokl.); Differents.
Uravn.(Diff. Equ.); Matem. Zam. (Math. Notes); Soobsh. VTs Akad.
Nauk SSSR (RAN); Yadernaya Fiz. (Phys. Atomic Nuclei); Zh. Eksp.i
Teor Fiz. (Sov. Phys. JETP); Pis'ma v Zh. Eksp. i Teor. Fiz. (JETP
Lett.); Teor. i Eksp. Khim.; Fiz. Plazmy; Radiotekh. i Elect.;
Sov. J. Numer. Anal. Math. Modelling (VNU Sci. Press, Utrecht, The
Netherlands); Studia Scient. Math. Hungarica; Numer. Anal. Math.
Modelling Banach Center Publs. (Warsaw); Colloquia Math.
Societatis Janos Bolyai (Hungary); Comput. Math. Banach Center
Publs. (Warsaw); ASME (New York); World Scientific Publs.
(Singapore, New Jersey, London, Hong Kong); Comput. Phys. Commun.
(Elsevier Science, The Netherlands); Kluwer Academic/Plenum
Publishers (New York, Boston, Dordrecht, London, Moscow); J.
Comput. Methods in Sciences and Engineering (JCMSE; Cambridge
International Science Publishing); J. Comput. Appl. Math.
(Elsevier Science); etc.
Translation into Russian: Ortega J.M., Poole W.G. An Introduction to Numerical Methods for Differential Equations. Jr. Pitman Publ. Inc., 1981.
Communications to scientific meetings: More than 65 scientific meetings, including more than 40 Intern. Conf. and Schools (with the personal support by Russian Foundation for Basic Research (RFBR), Intern. Science Foundation (ISF), German Research Foundation (GRF), different Organizing Committees, etc.). The list of some selected Conf. (since 1995 only): “Differential-Algebraic Equations, Related Fields and Applications” (1995, Oberwolfach, Germany); “Fifth Colloquium on the Qualitative Theory of DEs” (1996, Szeged, Hungary); “Conf. on DEs and Their Applications” (1997, Brno, Czech Republic); “Partial DEs, Theory and Numerical Solutions” (1998, Praha, Czech Republic); “Tenth Intern. Colloquium on DEs” (1999, Plovdiv, Bulgaria; invited speaker); “Trends in Nonlinear Analysis” (2000, Heidelberg, Germany); “XXII. Dynamics Days Europe 2002” (2002, Heidelberg, Germany); “EQUADIFF 2003” (2003, Hasselt, Belgium); “Intern. Workshop on Analysis and Numerical Approximation of Singular Problems” (Lisbon, 2004; invited speaker), etc.
Visits to institutions with the personal invitations to consult, read lectures or/and take part in the joint works (with 1995 only): Humboldt-University, Berlin (1995); Weierstrass Inst. of the Applied Analysis and Stochastics, Berlin (1997); Computer and Automation Research Inst. of HAS, Budapest (1998); Center of Applied Math. of Inst. Superior Tecnico, Lisbon, Portugal (1999, 2001, 2003).
Principal subject of research at present: Stable initial manifolds (SIMs) and singular nonlinear boundary value problems (BVPs) for ODEs; accompanying singular Cauchy problems (CPs) for the systems of quasilinear partial DEs. Singular CPs (and without initial data problems) for systems of nonlinear ODEs and functional-differential equations (FDEs); SIMs for FDEs. Analysis and numerical solution of singular nonlinear BVPs, arising in the nonlinear physics models.
Scientific interests: Analytical research in DEs and FDEs with degeneracies or on infinite interval; numerical methods in the problems of mathematical and theoretical physics reduced to singular BVPs; numerical-analytical investigations in the problems of acoustics, electrodynamics, quantum physics, theory of shells, nonlinear theory of field, relativistic cosmology, theory of superconductivity and other fields, connected with the solution of singular DEs, including spectral problems and computing complex special functions, etc.
Scientific research Projects and Grants, Prizes:
1) Stipend of G.Soros, 1993-1994 (ISF and Russian Academy of Natural Sciences); Individual Grant of G.Soros, 1993 (ISF); Principal Investigator (PI) of the Project No.J8K100, 1995 (ISF with RFBR and Russian Government).
2) Participation in the NATO project PST/CLG.976878 (NATO Physical and Engineering Science and Technology Collaborative Linkage Grant), 2001; grant NATO PST.EV.979657 (NATO Science Programme - Expert Visit), 2003.
3) State Stipend for Russian Scientists, 1997-2000 and 2000-2003 (RAS).
4) Responsible Investigator to the Projects of Russian Ministry of Science, Higher Schools and Technical Policy “Numerical Techniques and Software for Numerical Treatment of Physical Processes in Modern Technical Systems” (1056, “Tekhnika” and “Development of Parallel Algorithms for Mathematical Modelling and Solving Complicated Problems of Applied Mathematical Physics” (9d-125/3, “Bystrodeistvie”, 1992-1996.
5) PI (co-PI with A.A.Abramov) to the RFBR Projects: No.94-01-01495, 1994-1995; No.96-01-00951, 1996-1998; No.99-01-00331, 1999-2001; No.02-01-00050, 2002-2004; No.05-01-00257, 2005-2007.
6) Prizes for the best scientific works of the Dorodnicyn Computing Centre of RAS in 1975, 1980, 1995, 2002-2006.
Awards: Medals “The Work-Veteran” and “In the Memory to 850th Anniversary of Moscow”; Gratitude from President of RAS to 275th Anniversary of RAS.
Numerous nominations of IBC and ABI since 1993; the invitation to the Membership of New York Academy of Sciences, 1998.
Membership of professional societies: Member of the AMS in 1994-1998 and since 2004 - present; numerous invitations to the membership of the other international professional societies since 1993 - present.
Konyukhova N.B. Existence and uniqueness of solutions of singular Cauchy problems for systems of nonlinear functional differential equations// Sov. Math. Dokl., 1988, 36(1), 126-128.
Konyukhova N.B. On the existence of the stable initial manifolds for systems of nonlinear functional-differential equations// Sov. Math. Dokl., 1989, 39(3), 519-523.
Abramov A.A., Dyshko A.L., Konyukhova N.B., Levitina T.V. Evaluation of Lame angular wave functions by solving the corresponding differential equations// U.S.S.R. Comput. Maths Math. Phys. 1989, 29(3), 119-131.
Konyukhova N.B. On the existence and uniqueness of time-bounded solutions of systems of evolution quasilinear partial differential equations of first order// Sov. Math. Dokl., 1991, 42(3), 871-875.
Abramov A.A., Dyshko A.L., Konyukhova N.B., Levitina T.V. Computation of radial wave functions for spheroids and triaxial ellipsoids by the modified phase function method// Comput. Maths Math. Phys. 1991, 31(2), 25-42.
Konyukhova N.B. On the limit behavior of a bounded solution of a system of evolution partial differential equations of first order for unbounded increase of time// Sov. Math. Dokl., 1992, 44(1), 281-286.
Konyukhova N.B. Existence and uniqueness of bounded solutions of systems of evolutionary, quasilinear, first order partial differential equations// Diff. Equ., 1992, 28(3), 399-411.
Konyukhova N.B. On the limiting behavior of a bounded solution of a system of quasilinear first-order partial differential evolution equations as time grows to infinity// Diff. Equ., 1992, 28(9), 1283-1293.
Abramov A.A., Konyukhova N.B., Levitina T.V. On the diffraction of a plane acoustic wave by a triaxial ellipsoid// Diff. Equ., 1993, 29(8), 1167-1176.
Abramov A.A., Konyukhova N.B., Kurochkin S.V., Pariiskii B.S., Prikhod'ko V.Yu. Numerical investigation of axisymmetric free oscillations in a vacuum and excitation in a compressible medium of a prolate cylindrical shells with hemispherical ends//Comput. Maths Math. Phys. 1993, 33(10), 1365-1390.
Konyukhova N.B. Stable Lyapunov manifolds for autonomous systems of non-linear ordinary differential equations// Comput. Maths Math. Phys., 1994, 34(10), 1179-1195.
Konyukhova N.B. Stationary Lyapunov problem for a system of first-order quasilinear partial differential equations// Diff. Equ., 1994, 30(8)), 1284-1294.
Belova T.I., Voronov N.A., Konyukhova N.B., Pariiskii B.S. Stability regions for one-dimensional solitons of charged scalar field//Phys. Atom. Nucl., 1994, 57(1), 2028-2035.
Konyukhova N.B. Singular Cauchy problems for some systems of nonlinear functional-differential equations// Diff. Equ., 1995, 31(8), 1286-1293.
Abramov A.A., Konyukhova N.B., Levitina T.V. Numerical investigation of the problem of a plane acoustic wave scattering by a triaxial ellipsoid// Design Engineering Technical Conferences. 1995, 3(B), 449-454 (ASME, New York).
Abramov A.A., Dyshko A.L., Konyukhova N.B., Levitina T.V. A numerical-analytic investigation of the diffraction of a plane acoustic wave by ideal prolate spheroids and triaxial ellipsoids// Comput. Maths Math. Phys., 1995, 35(9), 1103-1123.
Konyukhova N.B., Fot T.E. Numerical investigations of the free axisymmetric electric oscillations of an ideally conducting oblate spheroid// Comput. Maths Math. Phys. 1995, 35(8),969-986.
Dyshko A.L., Konyukhova N.B. A numerical investigation of forced axisymmetric electric oscillations of an ideally conducting prolate spheroid// Comput. Maths Math. Phys. 1995, 35(5), 593-607.
Konyukhova N.B. Singular Cauchy problems for singularly perturbed systems of nonlinear ordinary differential equations. I// Diff. Equ., 1996, 32(1), 54-63.
Konyukhova N.B. Singular Cauchy problems for singularly perturbed systems of nonlinear ordinary differential equations. II// Diff. Equ., 1996, 32(4), 491-500.
Voronov N.A., Dyshko A.L., Kobzarev I.Yu., Konyukhova N.B. Dynamics of bubbles in a field theory with two degenerate vacua// Phys. Atom. Nucl., 1997, 60(1), 130-139.
Voronov N.A., Dyshko A.L., Konyukhova N.B., Staroverova I.B. Nonlinear singular problems in relativistic cosmology. I. The Higgs field in the Minkowski and Friedmann spaces// Comput.aths Math. Phys., 1997, 37(11), 1302-1318.
Voronov N.A., Dyshko A.L., Konyukhova N.B., Staroverova I.B. Nonlinear singular problems in relativistic cosmology: II. The Higgs field in the de Sitter space// Comput. Maths Math. Phys., 1997, 37(12), 1460-1473.
Konyukhova N.B., Pariiskii B.S., Prikhod'ko V.Yu. Resonance radiation of a prolate spheroidal shell under an axisymmetric concentrated excitation// Acoust. Phys., 1997, 43(4), 435-439.
Konyukhova N.B., Staroverova I.B. Modification of the phase method for singular self-adjoint Sturm-Liouville problem// Comput. Maths Math. Phys., 1997, 39(10), 1143-1160.
>Dyshko A.L., Konyukhova N.B. Self-similar solutions to the nonlinear wave equations for the Higgs field in the de Sitter space// Comput. Maths Math. Phys., 1999, 39(1), 118-134.
Konyukhova N.B., Linh V.H., Staroverova I.B. Modifications of the method of phase functions as applied to singular problems in quantum physics// Comput. Maths Math. Phys., 1999, 39(3), 468-498.
Dyshko A.L., Konyukhova N.B., Voronov N.A. Automodelling solutions of the Higgs-field nonlinear wave equation in the de Sitter space// Comput. Phys. Commun. (Elsevier Science), 2000, 126(1-2), 57-62.
Konyukhova N.B. Smooth Lyapunov's manifolds and singular boundary value problems for nonlinear autonomous systems on an infinite interval// Spectral and Evolution Problems: Proc. of the Eleventh Crimean Autumn Math. School-Symposium (KROMSH XI). (September 18-29, 2000, Sevastopol, Laspi; dedicated to Anatolii D.Myshkis 80th anniversary)/Group of authors; Kopachevsky, N.D., and Orlov, I.V., Eds. - Simferopol: National Taurida V.Vernadsky University, Black Sea Branch of Moscow State University, Crimean Scientific Center, Crimean Academy of Sciences, Crimean Mathematical Foundation, 2001, 11, 204-209.
Konyukhova N.B., Sukov A.I. Smooth Lyapunov's manifolds and correct mathematical simulation of nonlinear singular problems in mathematical physics// Mathematical Modeling. Problems, Methods, Applications/Uvarova, L.A and Latyshev, A.V. - Eds. New York: Kluwer Academic/Plenum Publishers, 2001, 205-217.
Dyshko A.L., Konyukhova N.B. Multiple one-dimensional and spherically symmetric self-similar solutions to the nonlinear wave equation for the Higgs field in the de Sitter space// Comput. Maths Math. Phys., 2001, 41(3), 435-456.
Dyshko A.L., Carpentier M.P., Konyukhova N.B., Lima P.M. Singular problems for Emden-Fowler-type second-order nonlinear ordinary differential equations// Comput. Maths Math. Phys., 2001, 41(4), 557-580.
Dyshko A.L., Konyukhova N.B. Multiple self-similar string and monopole solutions to nonlinear wave equations in inflationary cosmology// Comput. Maths Math. Phys., 2002, 42(4), 450-469.
Dyshko A.L., Konyukhova N.B. Multiple self-similar solitons to the Higgs field in the de Sitter space// J. of Comput. Methods in Sciences and Engineering (JCMSE; Cambridge Intern. Science Publishing), 2002, 11(1-2), 155-162.
Konyukhova N.B. Singular Cauchy problems and problems without initial data for nonlinear systems of functional-differential equations// Learning Notations of National Taurida V.Vernadsky University (Uchenye zapiski Tavricheskogo Nacional'nogo Universiteta im. V.I.Vernadskogo (Simferopol)). Mathematics. Mechanics. Computer Science and Cybernetics. 2002, 15(1), 136-141.
Konyukhova N.B., Lima P.M., Carpentier M.P. Asymptotic and numerical approximation of a nonlinear singular boundary value problem// Tendências em Matemática Aplicada e Computacional, 2002, 3(2), 141-150.
Konyukhova N.B., Sukov A.I. On correct statement of singular BVPs for autonomous systems of nonlinear ODEs with the applications to hydrodynamics// Proc. of the Inter. Seminar "Day on Diffraction'2003" (St.Petersburg, Russia, June 24-27, 2003)/ Ed. by I.V.Andronov. St.Petersburg: SPbU, 2003. P.99-109.
Gani V.A., Konyukhova N.B., Kurochkin S.V., Lenskii V.A. Study of stability of a charge topological soliton in the system of two interacting scalar fields// Comput. Math. Math. Phys., 2004, 44(11), 1968-1981.
Konyukhova N.B., Dyshko A.L., Voronov N.A. On singular problems for self-similar solutions to the systems of nonlinear wave equations arising in the inflationary cosmology// Math. J. (Matematicheskii zhurnal, Almaty), 2004, 4(1), 84-94.
Dyshko A.L., Zharkov G.F., Konyukhova N.B., Kurochkin S.V. Analytic-numerical investigation of the nonlinear boundary value problem for a superconducting plate in a magnetic field// Comput. Math. Math. Phys., 2005, 45(9), 1593-1617.
Voronov, N.A., Dyshko, A.L. and Konyukhova, N.B. On the stability of a self-similar spherical bubble of a scalar Higgs field in the de Sitter space// Phys. Atomic Nuclei, 2005, 68(7), 1218-1226 (http://dx.doi.org/10.1134/1.1992577, Springer).
Konyukhova N.B., Dyshko A.L., Voronov N.A. Singular problems for self-similar solutions to the systems of nonlinear wave equations in the inflationary cosmology// Proc. of Intern. Conf. on Diff. Eq. - EQUADIFF 2003 (Hasselt - Belgium, July 22-26, 2003)/ F.Dumortier et al., Eds. Singapore: World Scientific Publishing Co. Pte. Ltd., 2005, 1105-1107 (ISBN 981-256-169-2).
Lima P.M., Konyukhova N.B., Sukov A.I., Chemetov N.V. Mathematical analysis and numerical solution of a singular problem in nonlinear physics// Vestnik Nizhegorodskogo Universiteta im. N.I.Lobachevskogo, 2005, 1(28), 162-170 (ISSN 1811-5977).
Lima, P.M., Konyukhova, N.B., Sukov, A.I., Chemetov, N.V. Analytical-numerical investigation of bubble-type solutions of nonlinear singular problems// J. Comput. Appl. Math. (Elsevier Science), 2006, 189, 260-273.