prof. dr Miroslav Pranić
redovni profesor
Nastavnik - II-4
Prirodno-matematički fakultet
| Katedre |
|
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|---|---|---|---|
| Uža naučna/umjetnička oblast | Zvanje | Datum izbora u zvanje | |
| Matematička analiza i primjene | redovni profesor | December 27, 2018 | |
| ORCid | https://orcid.org/0000-0003-1733-881X | Google Scholar | https://scholar.google.com/citations?user=nzavGdEAAAAJ&hl=sr&oi=ao |
Predmeti
Arhitektonsko-građevinsko-geodetski fakultet
| Akademske studije trećeg ciklusa |
|---|
Rudarski fakultet
| Akademske studije prvog ciklusa |
|---|
Prirodno-matematički fakultet
| Akademske studije drugog ciklusa | Akademske studije prvog ciklusa | Akademske studije trećeg ciklusa |
|---|
Bibliografija
Radovi u časopisima
The Lanczos algorithm and complex Gauss quadrature
| Časopis | ELECTRONIC TRANSACTIONS ON NUMERICAL ANALYSIS |
|---|---|
| Godina | 2018 |
| Autori | Miroslav Pranić |
| Volumen | 50 |
| Strana od | 1 |
| Strana do | 19 |
Quadrature with multiple nodes, power orthogonality, and moment-preserving spline aproximation, Part II
| DOI | 10.2298/AADM180730018M |
|---|---|
| Časopis | APPLICABLE ANALYSIS AND DISCRETE MATHEMATICS |
| Godina | 2018 |
| Autori | Miroslav Pranić |
| Strana od | 1 |
| Strana do | 27 |
Gauss quadrature for quasi-definite linear functionals
| Časopis | IMA JOURNAL OF NUMERICAL ANALYSIS |
|---|---|
| Godina | 2017 |
| Autori | Miroslav Pranić |
| Volumen | 37 |
| Strana od | 1468 |
| Strana do | 1495 |
A rational Arnoldi process with applications
| Časopis | NUMERICAL LINEAR ALGEBRA WITH APPLICATIONS |
|---|---|
| Godina | 2016 |
| Autori | Miroslav Pranić |
| Volumen | 23 |
| Strana od | 1007 |
| Strana do | 1022 |
Generalized anti-Gauss quadrature
| Časopis | JOURNAL OF COMPUTATIONAL AND APPLIED MATHEMATICS |
|---|---|
| Godina | 2015 |
| Autori | Miroslav Pranić |
| Volumen | 284 |
| Strana od | 235 |
| Strana do | 243 |
Rational Gauss quadrature
| Časopis | SIAM JOURNAL ON NUMERICAL ANALYSIS: A PUBLICATION OF THE SOCIETY OF INDUSTRIAL AND APPLIED MATHEMATICS |
|---|---|
| Godina | 2014 |
| Autori | Miroslav Pranić |
| Volumen | 52 |
| Strana od | 832 |
| Strana do | 851 |
Computing approximate (block) rational Krylov subspaces without explicit inversion with extensions to symmetric matrices
| Časopis | ELECTRONIC TRANSACTIONS ON NUMERICAL ANALYSIS |
|---|---|
| Godina | 2014 |
| Autori | Miroslav Pranić |
| Volumen | 43 |
| Strana od | 100 |
| Strana do | 124 |
Recurrence relations for orthogonal rational functions
| Časopis | NUMERISCHE MATHEMATIK |
|---|---|
| Godina | 2013 |
| Autori | Miroslav Pranić |
| Volumen | 123 |
| Strana od | 629 |
| Strana do | 642 |
Computing approximate extended Krylov subspaces without explicit inversion
| Časopis | ELECTRONIC TRANSACTIONS ON NUMERICAL ANALYSIS |
|---|---|
| Godina | 2013 |
| Autori | Miroslav Pranić |
| Volumen | 40 |
| Strana od | 414 |
| Strana do | 435 |
Maximum of the modulus of kernels of Gaussian quadrature formulae for one class of Bernstein-Szego weight functions
| Časopis | APPLIED MATHEMATICS AND COMPUTATION |
|---|---|
| Godina | 2012 |
| Autori | Miroslav Pranić |
| Volumen | 218 |
| Strana od | 5746 |
| Strana do | 5756 |
Error bounds of certain Gaussian quadrature formulae
| Časopis | JOURNAL OF COMPUTATIONAL AND APPLIED MATHEMATICS |
|---|---|
| Godina | 2010 |
| Autori | Miroslav Pranić |
| Volumen | 234 |
| Strana od | 1049 |
| Strana do | 1057 |
Bounds of the error of Gauss-Turan-type quadratures, II
| Časopis | APPLIED NUMERICAL MATHEMATICS |
|---|---|
| Godina | 2010 |
| Autori | Miroslav Pranić |
| Volumen | 60 |
| Strana od | 1 |
| Strana do | 9 |
Error estimates for Gauss-Turan quadratures and their Kronrod extensions
| Časopis | IMA JOURNAL OF NUMERICAL ANALYSIS |
|---|---|
| Godina | 2009 |
| Autori | Miroslav Pranić |
| Volumen | 29 |
| Strana od | 486 |
| Strana do | 507 |
Error estimates for Gaussian quadratures of analytic functions
| Časopis | JOURNAL OF COMPUTATIONAL AND APPLIED MATHEMATICS |
|---|---|
| Godina | 2009 |
| Autori | Miroslav Pranić |
| Volumen | 233 |
| Strana od | 802 |
| Strana do | 807 |
Maximum of the modulus of kernels in Gauss-Turan quadratures
| Časopis | MATHEMATICS OF COMPUTATION |
|---|---|
| Godina | 2008 |
| Autori | Miroslav Pranić |
| Strana od | 985 |
| Strana do | 994 |
On the remainder term of Gauss-Radau quadratures for analytic functions
| Časopis | JOURNAL OF COMPUTATIONAL AND APPLIED MATHEMATICS |
|---|---|
| Godina | 2008 |
| Autori | Miroslav Pranić |
| Volumen | 218 |
| Strana od | 281 |
| Strana do | 289 |
Error bounds of some Gauss-Turan-Kronrod quadratures with Gori- Micchelli weights for analytic functions
| Časopis | KRAGUJEVAC JOURNAL OF MATHEMATICS |
|---|---|
| Godina | 2007 |
| Autori | Miroslav Pranić |
| Volumen | 30 |
| Strana od | 221 |
| Strana do | 234 |
On maximum of the modulus of kernels in Gauss-Turan quadratures with Chebyshev weights: The cases s=1,2
| Časopis | FACTA UNIVERSITATIS - SERIES: MATHEMATICS AND INFORMATICS |
|---|---|
| Godina | 2005 |
| Autori | Miroslav Pranić |
| Volumen | 20 |
| Strana od | 123 |
| Strana do | 128 |
Ostali radovi
The remainder term of Gauss-Turan quadratures for analytic functions
| Izdavač | Springer-Verlag |
|---|---|
| ISSN/ISBN | ISBN 978-1-4419-6594-3 |
| Godina | 2011 |
| Autori | Miroslav Pranić |
| Strana od | 253 |
| Strana do | 266 |
Knjige
Diferencijalni i inegralni račun 1
| Izdavač | PMF Banja Luka |
|---|---|
| ISBN | 978-99955-21-67-7 |
| Godina | 2018 |
| Autori | Duško Jojić and Miroslav Pranić |
| Tip knjige | osnovni udžbenik |
Primjene matematičke analize
| Izdavač | PMF Banja Luka |
|---|---|
| ISBN | 978-99955-21-71-4 |
| Godina | 2018 |
| Autori | Vladimir Jovanović and Miroslav Pranić |
| Tip knjige | osnovni udžbenik |
Matematika 1
| Izdavač | Prirodno-matematički fakultet Banja Luka |
|---|---|
| ISBN | 978-99955-21-26-4 |
| Godina | 2012 |
| Autori | Duško Jojić and Miroslav Pranić |
| Tip knjige | osnovni udžbenik |
Numeričke metode
| Izdavač | Prirodno-matematički fakultet Kragujevac |
|---|---|
| ISBN | 978-86-81829-84-4 |
| Godina | 2007 |
| Autori | Miroslav Pranić |
| Tip knjige | osnovni udžbenik |
Projekti
Inverzni problemi za diferencijalne operatore sa devijativnim argumentom
| Project Number | 1255048 |
|---|---|
| Status | Aktivan |
| Type of project | Nacionalni naucnoistrazivacki |
| Organizational unit | Elektrotehnicki fakultet |
| Head | doc. dr Nebojsa Djuric |
| Participants |
dr Vladimir Vladicic prof. dr Biljana Vojvodic Dusan Bajovic, ma Milena Malicevic Milica Blitvic, ma prof. dr Miroslav Pranic |
| Business Partner | Ministarstvo za naucnotehnoloski razvoj i visoko obarzovanje Republike Srpske |
| Beginning of realization | 2025-01-01 |
| End of the project | 2025-10-31 |
| Project value | 5500.0 BAM |
Topoloske i kombinatorne metode u problemima podjele
| Project Number | 1259105 |
|---|---|
| Status | Aktivan |
| Type of project | Nacionalni - ostali |
| Organizational unit | Prirodno-matematicki fakultet |
| Head | prof. dr Dusko Jojic |
| Participants |
prof. dr Miroslav Pranic doc. dr Dimitrije Cvokic Sara Koljancic, ma mr Ognjen Papaz prof. dr Zoran Mitrovic Mia Jotanovic, ma Tijana Babic |
| Business Partner | VLADA REPUBLIKE SRPSKE |
| Beginning of realization | 2024-04-01 |
| End of the project | 2025-04-30 |
| Project value | 3500.0 BAM |
Primjena kvadraturnih formula u izracunavanju granica matricnih funkcionala
| Project Number | 1259050 |
|---|---|
| Status | Neaktivan |
| Type of project | Nacionalni naucnoistrazivacki |
| Organizational unit | Prirodno-matematicki fakultet |
| Head | prof. dr Miroslav Pranic |
| Participants |
Lotar Rajhel prof. dr Vladimir Jovanovic Vladan Jaguzovic, ma prof. dr Dusko Jojic Milan Predojevic, ma mr Tatjana Zec Miroslav Treml |
| Business Partner | Ministarstvo za naucnotehnoloski razvoj, visoko obrazovanje i informaciono drustvo |
| Beginning of realization | 2020-08-01 |
| End of the project | 2024-07-10 |
| Project value | 11000.0 BAM |
Konfiguracioni prostori u diskretnoj geometriji
| Project Number | 1259049 |
|---|---|
| Status | Neaktivan |
| Type of project | Nacionalni naucnoistrazivacki |
| Organizational unit | Prirodno-matematicki fakultet |
| Head | prof. dr Dusko Jojic |
| Participants |
mr Sladjana Babic doc. dr Bojan Nikolic prof. dr Zoran Mitrovic prof. dr Miroslav Pranic Sara Koljancic, ma Milanka Treml, ma Mia Jotanovic, ma prof. dr Dusko Bogdanic doc. dr Milana Grbic |
| Business Partner | Ministarstvo za naucnotehnoloski razvoj, visoko obrazovanje i informaciono drustvo |
| Beginning of realization | 2020-06-01 |
| End of the project | 2021-01-31 |
| Project value | 12000.0 BAM |
Numericka konstrukcija Kronrodovih kvadratura i primjene
| Project Number | 1259020 |
|---|---|
| Status | Neaktivan |
| Type of project | Nacionalni naucnoistrazivacki |
| Organizational unit | Prirodno-matematicki fakultet |
| Head | prof. dr Miroslav Pranic |
| Participants |
prof. dr Dusko Jojic Miroslav Treml Lotar Rajhel Vladan Jaguzovic, ma Milan Predojevic, ma mr Tatjana Zec prof. dr Vladimir Jovanovic |
| Business Partner | Ministarstvo za naucnotehnoloski razvoj, visoko obrazovanje i informaciono drustvo |
| Beginning of realization | 2019-05-01 |
| End of the project | 2024-07-10 |
| Project value | 18500.0 BAM |
Topoloske i kombinatorne osobine nekih vaznih kompleksa
| Project Number | 1259014 |
|---|---|
| Status | Neaktivan |
| Type of project | Nacionalni - ostali |
| Organizational unit | Prirodno-matematicki fakultet |
| Head | prof. dr Dusko Jojic |
| Participants |
Alen Djuric mr Sladjana Babic prof. dr Dusko Bogdanic Sara Koljancic, ma doc. dr Bojan Nikolic Milanka Treml, ma doc. dr Milana Grbic prof. dr Zoran Mitrovic prof. dr Miroslav Pranic |
| Business Partner | Ministarstvo za naucnotehnoloski razvoj, visoko obrazovanje i informaciono drustvo |
| Beginning of realization | 2019-06-01 |
| End of the project | 2023-01-31 |
| Project value | 13000.0 BAM |
Metode bazirane na racionalnim Krilovljevim potprostorima
| Project Number | 0830904 |
|---|---|
| Status | Neaktivan |
| Type of project | Nacionalni naucnoistrazivacki |
| Organizational unit | Prirodno-matematicki fakultet |
| Head | prof. dr Miroslav Pranic |
| Participants |
doc. dr Marko Djukanovic mr Tatjana Zec prof. dr Dragan Matic mr Biljana Sukara-Celic prof. dr Vladimir Jovanovic Miroslav Treml |
| Business Partner | Ministarstvo nauke i tehnologije Republike Srpske |
| Beginning of realization | 2016-10-01 |
| End of the project | 2018-12-18 |
| Project value | 12000.0 BAM |