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| Elulookirjeldus (CV) | ||
| 1. | Eesnimi | Arvet |
| 2. | Perekonnanimi | Pedas |
| 3. | Töökoht | Tartu Ülikool (TÜ), rakendusmatemaatika instituut |
| 4. | Ametikoht | Professor |
| 5. | Sünniaeg | 02.03.1948 (päev.kuu.aasta) |
| 6. | Haridus | kõrgem, Tartu Riiklik Ülikool (TRÜ), 1971 |
| 7. | Teenistuskäik | 1971-1974 insener, TRÜ arvutuskeskus; 1977-1979 assistent, TRÜ, arvutusmatemaatika kateeder; 1979-1985 vanemõpetaja, TRÜ, arvutusmatemaatika kateeder; 1985-1993 dotsent, TRÜ, arvutusmatemaatika kateeder; 1993-1995 dotsent, TÜ, rakendusmatemaatika instituut; 1995- professor, TÜ, rakendusmatemaatika instituut |
| 8. | Teaduskraad | Füüsika-matemaatikateaduste kandidaat |
| 9. | Teaduskraadi välja andnud asutus, aasta |
Tartu Riiklik Ülikool, NSVL Kõrgem Atestatsioonikomisjon, 1978 |
| 10. | Tunnustused | Arvutusmatemaatika dotsendi kutse, 1989 |
| 11. | Teadusorganisatsiooniline ja –administratiivne tegevus |
Tartu Ülikooli rakendusmatemaatika instituudi juhataja (1996, 1998, 2000, 2002, 2005). TÜ rakendumsatemaatika instituudi sihtfinantseerimisteema MTRM00S0 "Diferentsiaal- ja integraalvõrrandite ligikaudne lahendamine" vastutav täitja (1996-1997). ETF grandi nr 111 hoidja (1995-1996). ETF grandi nr 2999 hoidja (1997-1999). ETF grandi nr 4410 hoidja (2000-2003). ETF grandi nr 5859 hoidja (2004-2005). Ajakirja "Mathematical Modelling and Analysis" (Leedu) toimetuskolleegiumi liige. |
| 12. | Juhendamisel kaitstud väitekirjad |
Ester Saral, MSc, 2005, juh. Arvet Pedas. Logaritmiliselt iseärase tuumaga integraalvõrrandi lahendi siledus ja lähislahendi leidmine kollokatsioonimeetodil. Tartu Ülikool Inga Parts, PhD, 2005, juh. Arvet Pedas. Piecewise polynomial collocation methods for solving weakly singular integro-differential equations. Tartu Ülikool Kerli Orav-Puurand, MSc, 2005, juh. Arvet Pedas. Nõrgalt singulaarse tuumaga Fredholmi integraalvõrrandi lahendamine muutujate vahetuse abil. Tartu Ülikool Kristiina Hakk, PhD, 2004, juh. Arvet Pedas. Approximation methods for weakly singular integral equations with discontinuous coefficients. Tartu Ülikool Marek Kolk, MSc, 2004, juh. Arvet Pedas. Modifitseeritud splain-kollokatsioonimeetod teist liiki Volterra integraalvõrrandi lahendamiseks. Tartu Ülikool Ehtel Timak, MSc, 2001, juh. Arvet Pedas. Nõrgalt singulaarse integraalvõrrandi lahendamine kuupsplain-kollokatsioonimeetodil. Tartu Ülikool Inga Parts, MSc, 2001, juh. Arvet Pedas. Tükiti polünomiaalne kollokatsioonimeetod astmeliselt iseärase tuumaga integro-diferentsiaalvõrrandi lahendamisel. Tartu Ülikool Mare Tarang, MSc, 2000, juh. Arvet Pedas. Programmipaketi Maple kasutamine harilike diferentsiaalvõrrandite lahendamisel. Tartu Ülikool Kairi Kasemets, MSc, 1999, juh. Arvet Pedas. Täielikult diskretiseeritud splain-kollokatsioonimeetod Volterra integraalvõrrandi lahendamiseks. Tartu Ülikool Rene Pallav, MSc, 1999, juh. Arvet Pedas. Programmipaketi koostamine integraalvõrrandite lahendamiseks. Tartu Ülikool Kristiina Hakk, MSc, 1998, juh. Arvet Pedas. Nõrgalt singulaarse integraalvõrrandi lahendamine tükiti polünomiaalse aproksimatsiooni abil. Tartu Ülikool |
| 13. | Teadustöö põhisuunad | diferentsiaal- ia integraalvõrrandite lahendusmeetodid |
| 14. | Jooksvad grandid | ETF grant nr 5859 "Iseärasustega integraalvõrrandite teoreetiline ja numbriline analüüs" |
| 15. | Teaduspublikatsioonid |
Parts I., A. Pedas, E. Tamme. Piecewise polynomial collocation for Fredholm integro-diffrential equations with weakly singular kernels. SIAM J. Numer. Anal.(accepted). Pedas A., G. Vainikko. Integral equations with diagonal and boundary singularities of the kernel, ZAA (accepted). Pedas A., G. Vainikko. Smoothing transformation and numerical solutions for Fredholm integral equations with singularities (accepted). Pedas A., G. Vainikko. Smoothing transformation and piecewise polynomial projection methods for weakly singular Fredholm integral equations, Communications on Pure and Applied Analysis (accepted). Hakk K., A. Pedas. Piecewise polynomial approximations for weakly singular integral equations with discontinuous coefficients. Proc. of the 7th WSEAS International Conference on Applied Mathematics (MATH2005), Cancun, Mexico, May 11-14, 2005 (Editors M.L.Morales, N.Mastorakis, K.Passadis), WSEAS, 2005, 9-14. Hakk K., A. Pedas. Piecewise polynomial approximations for weakly singular integral equations with discontinuous coefficients. WSEAS Transactions on Mathematics, 2005, 4 (2), 50-55. Pedas A., G. Vainikko. Boundary singularities of solutions to integral equations of the second kind. Proc. of the 7th WSEAS International Conference on Applied Mathematics (MATH2005), Cancun, Mexico, May 11-14, 2005 (Editors M.L.Morales, N.Mastorakis, K.Passadis), WSEAS, 2005, 43-48. Pedas A., G. Vainikko. Boundary singularities of solutions to integral equations of the second kind. WSEAS Transactions on Mathematics, 2005, 4 (2), 70-75. Parts I., A. Pedas. Spline approximations for weakly singular Volterra integro-differential equations. Integral Methods in Science and Engeneering. Analytic and Numerical Techniques (Editors C.Constanda, M. Ahues, A.Largillier). Birkhäuser, Boston-Basel-Berlin, 2004, 178-180. Pedas A., G. Vainikko. Numerical solution of weakly singular Volterra integral equations with change of variables. Proc. Estonian Acad. Sci., Phys. Math., 2004, 53 (2), 99-106. Pedas A., G. Vainikko. Smoothing transformation and piecewise polynomial collocation for weakly singular Volterra integral equations. Computing, 2004, 73 (3), 271-293. Pedas A. On the approximate solution of weakly singular in integro-differential equations of Volterra type. Differentialny'e Uravnenija, 2004, 40 (9), 1271-1279 (in Russian). English translation in Differential Equations, 2004, 40 (9), 1345-1353. Pedas A. Piecewise polynomial approximations for linear Volterra integro-differential equations with nonsmooth kernels. Numerical Mathematics and Advanced Applications. ENUMATH2003 (Eds M.Feistauer, V.Dolejši, P.Knobloch, K.Najzar), Springer Verlag, Berlin-Heidelberg-New York, 2004, 677-686. Pallav R., A. Pedas. A quadratic spline collocation method for integral equations with singularities. Differentsialny'e Uravnenija, 2003, 39 (9), 1272-1281 (in Russian), English translation in Differential Equations, 2003, 39 (9), 1343-1352. Parts I., A. Pedas. Collocation approximations for weakly singular Volterra integro-differential equations. Mathematical Modelling and Analysis, 2003, 8 (4), 315-328. Parts I., A. Pedas. Spline collocation methods for weakly singular Volterra integro-differential equations. Numerical Mathematics and Advanced Applications, ENUMATH2001 (Editors F.Brezzi, A.Buffa, S.Corsaro, A.Murli), Springer-Verlag, Milano, 2003, 919-928. Kangro R., R. Pallav, A. Pedas. A quadratic spline collocation method for weakly singular integral equations. Proc. Estonian Acad. Sci. Phus. Math., 2002, 51 (1), 47-60. Pallav R., A. Pedas. Quadratic spline collocation method for weakly singular integral equations and corresponding eigenvalue problem. Mathematical Modelling and Analysis, 2002, 7 (2), 285-296. Pedas A. Piecewise polynomial collocation method for weakly singular integral equations. HERCMA2001 Proceedings (Editor A.A.Lipitakis), LEA Publisher, Athens, 2002, 2, 568-573. Brunner H., A. Pedas, G. Vainikko. A spline collocation method for linear Volterra integro-differential equations with weakly singular kernels. BIT, 2001, 41 (5), 891-900. Brunner H., A. Pedas, G. Vainikko. Piecewise polynomial collocation methods for linear Volterra integro-differential equations with weakly singular kernels. SIAM J. Numer. Anal., 2001, 39 (3), 957-982. Fischer M., A. Pedas. Discrete collocation method for Volterra integral equations. Proc. of the Third Intern. Conf. "Tools for Mathematical Modelling", June 18-23, 2001, St. Petersburg, Saint Petersburg State Technical University Press, Saint Petersburg, 2001, 30-37. Pedas A., E. Timak. The cubic spline-collocation method for weakly singular integral equations. Differentsialny'e Uravnenija, 2001, 37 (10), 1415-1424 (in Russian), English translation in 2002 in Differential Equations, 37 (10), 1491-1500. Hakk K., A. Pedas. Solution of weakly singular integral equations with discontinuous coefficients by piecewise polynomial approximation. ENUMATH 99 - Proc. of the 3rd European Conf. on Numerical Mathematics and Advanced Appl. Jyväskylä, Finland, July 26-30, 1999 (Edited by P.Neittaanmäki, T.Tiihonen, P.Tarvainen), World Scientific, Singapore, 2000, 673-681. Hakk K., A. Pedas. Two-grid iteration method for weakly singular integral equations. Mathematical Modelling and Analysis, 2000, 5, 76-85. Pedas A., G. Vainikko. Piecewise polynomial projection methods for nonlinear multidimensional weakly singular integral equations. Chapman&Hall/CRC Research Notes in Mathematics 418: Integral methods in science and engineering (Edited by B.Bertram, C.Constanda, A.Struthers), Chapman&Hall/CRC, Roca-Raton-London-New York-Washington, 2000, 280-285. Brunner H., A. Pedas, G. Vainikko. The piecewise polynomial collocation method for nonlinear singular Volterra equations. Math. Comp., 1999, 68 (227), 1079-1095. Pedas A., G. Vainikko. Superconvergence of piecewise polynomial collocations for nonlinear weakly singular integral equations. J. Integral Equations Appl., 1997, 9 (4), 1997, 379-406. Pedas A. On the superconvergence of the spline collocation method for solving nonlinear two-dimensional weakly singular integral equations. Differential'nye Uravnenyia, 1997, 33 (9), 1260-1267 (in Russian). English translation in 1998 in Differential Equations, 33 (9), 1997, 1268-1276. Pedas A., G. Vainikko. The smoothness of solutions to nonlinear weakly singular integral equations. J. Anal. Appl., 1994, 13 (3), 463-476. Vainikko G., A. Pedas. The properties of solutions of weakly singular integral equations. J. of Australian Math. Society, Series B, 1981, 22 (4), 419-430. |
viimati muudetud: 03.10.2005
| Curriculum Vitae (CV) | ||
| 1. | First Name | Arvet |
| 2. | Surname | Pedas |
| 3. | Institution | Institute of Applied Mathematics of the University of Tartu |
| 4. | Position | Professor |
| 5. | Date of birth | 02.03.1948 (day.month.year) |
| 6. | Education | 1971 Graduated from the Faculty of Mathematics of the University of Tartu |
| 7. | Research and professional experience |
1971 – 1974 Engineer, Computer Center, University of Tartu (UT); 1977 – 1979 Assistant, Chair of Numerical Analysis, UT; 1979 – 1985 Senior Teacher, Chair of Numerical Analysis, UT; 1985 – 1993 Associated Professor, Chair of Numerical Analysis, UT; 1993 – 1995 Associated Professor, Institute of Applied Mathematics, UT; 1995 – Professor, Institute of Applied Mathematics, UT |
| 8. | Academic degree | Candidate of physical-mathematical sciences |
| 9. | Dates and sites of earning the degrees |
University of Tartu, 1978 |
| 10. | Honours/awards | |
| 11. | Research-administrative experience |
Head of the Institute of Applied Mathematics of the University of Tartu (1996, 1998, 2000, 2002). Principal investigator of the following grants of the Estonian Science Foundation: Grant No 111 “Discretization methods for solution of singular integral equations" (1995 - 1996), Grant No 2999 "Methods for solving integral equations with weakly singular kernels" (1997-1999), Grant No 4410 "Weakly singular integral and integro-differential equations" (200-2003). |
| 12. | Supervised dissertations |
Ester Saral, MSc, 2005, superv. Arvet Pedas. Logaritmiliselt iseärase tuumaga integraalvõrrandi lahendi siledus ja lähislahendi leidmine kollokatsioonimeetodil. Tartu Ülikool Inga Parts, PhD, 2005, superv. Arvet Pedas. Piecewise polynomial collocation methods for solving weakly singular integro-differential equations. Tartu Ülikool Kerli Orav-Puurand, MSc, 2005, superv. Arvet Pedas. Nõrgalt singulaarse tuumaga Fredholmi integraalvõrrandi lahendamine muutujate vahetuse abil. Tartu Ülikool Kristiina Hakk, PhD, 2004, superv. Arvet Pedas. Approximation methods for weakly singular integral equations with discontinuous coefficients. Tartu Ülikool Marek Kolk, MSc, 2004, superv. Arvet Pedas. Modifitseeritud splain-kollokatsioonimeetod teist liiki Volterra integraalvõrrandi lahendamiseks. Tartu Ülikool Ehtel Timak, MSc, 2001, superv. Arvet Pedas. Nõrgalt singulaarse integraalvõrrandi lahendamine kuupsplain-kollokatsioonimeetodil. Tartu Ülikool Inga Parts, MSc, 2001, superv. Arvet Pedas. Tükiti polünomiaalne kollokatsioonimeetod astmeliselt iseärase tuumaga integro-diferentsiaalvõrrandi lahendamisel. Tartu Ülikool Mare Tarang, MSc, 2000, superv. Arvet Pedas. Programmipaketi Maple kasutamine harilike diferentsiaalvõrrandite lahendamisel. Tartu Ülikool Kairi Kasemets, MSc, 1999, superv. Arvet Pedas. Täielikult diskretiseeritud splain-kollokatsioonimeetod Volterra integraalvõrrandi lahendamiseks. Tartu Ülikool Rene Pallav, MSc, 1999, superv. Arvet Pedas. Programmipaketi koostamine integraalvõrrandite lahendamiseks. Tartu Ülikool Kristiina Hakk, MSc, 1998, superv. Arvet Pedas. Nõrgalt singulaarse integraalvõrrandi lahendamine tükiti polünomiaalse aproksimatsiooni abil. Tartu Ülikool |
| 13. | Current research program | methods for solving differential and integral equations |
| 14. | Current grant funding | ESF Grant No. 5859 "Theoretical and numerical analysis of integrl equations with singularities" |
| 15. | List of most important publications |
Parts I., A. Pedas, E. Tamme. Piecewise polynomial collocation for Fredholm integro-diffrential equations with weakly singular kernels. SIAM J. Numer. Anal.(accepted). Pedas A., G. Vainikko. Integral equations with diagonal and boundary singularities of the kernel, ZAA (accepted). Pedas A., G. Vainikko. Smoothing transformation and numerical solutions for Fredholm integral equations with singularities (accepted). Pedas A., G. Vainikko. Smoothing transformation and piecewise polynomial projection methods for weakly singular Fredholm integral equations, Communications on Pure and Applied Analysis (accepted). Hakk K., A. Pedas. Piecewise polynomial approximations for weakly singular integral equations with discontinuous coefficients. Proc. of the 7th WSEAS International Conference on Applied Mathematics (MATH2005), Cancun, Mexico, May 11-14, 2005 (Editors M.L.Morales, N.Mastorakis, K.Passadis), WSEAS, 2005, 9-14. Hakk K., A. Pedas. Piecewise polynomial approximations for weakly singular integral equations with discontinuous coefficients. WSEAS Transactions on Mathematics, 2005, 4 (2), 50-55. Pedas A., G. Vainikko. Boundary singularities of solutions to integral equations of the second kind. Proc. of the 7th WSEAS International Conference on Applied Mathematics (MATH2005), Cancun, Mexico, May 11-14, 2005 (Editors M.L.Morales, N.Mastorakis, K.Passadis), WSEAS, 2005, 43-48. Pedas A., G. Vainikko. Boundary singularities of solutions to integral equations of the second kind. WSEAS Transactions on Mathematics, 2005, 4 (2), 70-75. Parts I., A. Pedas. Spline approximations for weakly singular Volterra integro-differential equations. Integral Methods in Science and Engeneering. Analytic and Numerical Techniques (Editors C.Constanda, M. Ahues, A.Largillier). Birkhäuser, Boston-Basel-Berlin, 2004, 178-180. Pedas A., G. Vainikko. Numerical solution of weakly singular Volterra integral equations with change of variables. Proc. Estonian Acad. Sci., Phys. Math., 2004, 53 (2), 99-106. Pedas A., G. Vainikko. Smoothing transformation and piecewise polynomial collocation for weakly singular Volterra integral equations. Computing, 2004, 73 (3), 271-293. Pedas A. On the approximate solution of weakly singular in integro-differential equations of Volterra type. Differentialny'e Uravnenija, 2004, 40 (9), 1271-1279 (in Russian). English translation in Differential Equations, 2004, 40 (9), 1345-1353. Pedas A. Piecewise polynomial approximations for linear Volterra integro-differential equations with nonsmooth kernels. Numerical Mathematics and Advanced Applications. ENUMATH2003 (Eds M.Feistauer, V.Dolejši, P.Knobloch, K.Najzar), Springer Verlag, Berlin-Heidelberg-New York, 2004, 677-686. Pallav R., A. Pedas. A quadratic spline collocation method for integral equations with singularities. Differentsialny'e Uravnenija, 2003, 39 (9), 1272-1281 (in Russian), English translation in Differential Equations, 2003, 39 (9), 1343-1352. Parts I., A. Pedas. Collocation approximations for weakly singular Volterra integro-differential equations. Mathematical Modelling and Analysis, 2003, 8 (4), 315-328. Parts I., A. Pedas. Spline collocation methods for weakly singular Volterra integro-differential equations. Numerical Mathematics and Advanced Applications, ENUMATH2001 (Editors F.Brezzi, A.Buffa, S.Corsaro, A.Murli), Springer-Verlag, Milano, 2003, 919-928. Kangro R., R. Pallav, A. Pedas. A quadratic spline collocation method for weakly singular integral equations. Proc. Estonian Acad. Sci. Phus. Math., 2002, 51 (1), 47-60. Pallav R., A. Pedas. Quadratic spline collocation method for weakly singular integral equations and corresponding eigenvalue problem. Mathematical Modelling and Analysis, 2002, 7 (2), 285-296. Pedas A. Piecewise polynomial collocation method for weakly singular integral equations. HERCMA2001 Proceedings (Editor A.A.Lipitakis), LEA Publisher, Athens, 2002, 2, 568-573. Brunner H., A. Pedas, G. Vainikko. A spline collocation method for linear Volterra integro-differential equations with weakly singular kernels. BIT, 2001, 41 (5), 891-900. Brunner H., A. Pedas, G. Vainikko. Piecewise polynomial collocation methods for linear Volterra integro-differential equations with weakly singular kernels. SIAM J. Numer. Anal., 2001, 39 (3), 957-982. Fischer M., A. Pedas. Discrete collocation method for Volterra integral equations. Proc. of the Third Intern. Conf. "Tools for Mathematical Modelling", June 18-23, 2001, St. Petersburg, Saint Petersburg State Technical University Press, Saint Petersburg, 2001, 30-37. Pedas A., E. Timak. The cubic spline-collocation method for weakly singular integral equations. Differentsialny'e Uravnenija, 2001, 37 (10), 1415-1424 (in Russian), English translation in 2002 in Differential Equations, 37 (10), 1491-1500. Hakk K., A. Pedas. Solution of weakly singular integral equations with discontinuous coefficients by piecewise polynomial approximation. ENUMATH 99 - Proc. of the 3rd European Conf. on Numerical Mathematics and Advanced Appl. Jyväskylä, Finland, July 26-30, 1999 (Edited by P.Neittaanmäki, T.Tiihonen, P.Tarvainen), World Scientific, Singapore, 2000, 673-681. Hakk K., A. Pedas. Two-grid iteration method for weakly singular integral equations. Mathematical Modelling and Analysis, 2000, 5, 76-85. Pedas A., G. Vainikko. Piecewise polynomial projection methods for nonlinear multidimensional weakly singular integral equations. Chapman&Hall/CRC Research Notes in Mathematics 418: Integral methods in science and engineering (Edited by B.Bertram, C.Constanda, A.Struthers), Chapman&Hall/CRC, Roca-Raton-London-New York-Washington, 2000, 280-285. Brunner H., A. Pedas, G. Vainikko. The piecewise polynomial collocation method for nonlinear singular Volterra equations. Math. Comp., 1999, 68 (227), 1079-1095. Pedas A., G. Vainikko. Superconvergence of piecewise polynomial collocations for nonlinear weakly singular integral equations. J. Integral Equations Appl., 1997, 9 (4), 1997, 379-406. Pedas A. On the superconvergence of the spline collocation method for solving nonlinear two-dimensional weakly singular integral equations. Differential'nye Uravnenyia, 1997, 33 (9), 1260-1267 (in Russian). English translation in 1998 in Differential Equations, 33 (9), 1997, 1268-1276. Pedas A., G. Vainikko. The smoothness of solutions to nonlinear weakly singular integral equations. J. Anal. Appl., 1994, 13 (3), 463-476. Vainikko G., A. Pedas. The properties of solutions of weakly singular integral equations. J. of Australian Math. Society, Series B, 1981, 22 (4), 419-430. |
last updated: 03.10.2005
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