College of Sciences staff

Contact details +64 (06) 356 9099  ext. 84631

Prof Igor Boglaev

Professor of Computational Mathematics

Institute of Fundamental Sciences

Research Projects

Summary of Research Projects

Position Current Completed
Project Leader 0 1

Research Outputs

Journal

Boglaev, IP. (2017). Monotone iterates for systems of nonlinear integro-elliptic equations. ANZIAM Journal : Electronic Supplement. 58, C1-C16
[Journal article]Authored by: Boglaev, I.
Boglaev, I. (2016). Numerical methods for systems of nonlinear integro-parabolic equations of volterra type. Journal of Integral Equations and Applications. 28(3), 309-342
[Journal article]Authored by: Boglaev, I.
Boglaev, I. (2016). Monotone iterative ADI method for solving coupled systems of nonlinear parabolic equations. Applied Numerical Mathematics. 108, 204-222
[Journal article]Authored by: Boglaev, I.
Boglaev, I. (2016). A numerical method for solving nonlinear integro-differential equations of Fredholm type. Journal of Computational Mathematics. 34(3), 262-284
[Journal article]Authored by: Boglaev, I.
Boglaev, I. (2016). Numerical solving nonlinear integro-parabolic equations by the monotone weighted average method. Applied Mathematics and Computation. 274, 152-162
[Journal article]Authored by: Boglaev, I.
Boglaev, IP. (2015). Inexact monotone methods for solving nonlinear elliptic problems. ANZIAM Journal : Electronic Supplement. 56, C68-C82 Retrieved from https://journal.austms.org.au/ojs/index.php/ANZIAMJ/article/view/9317/1880
[Journal article]Authored by: Boglaev, I.
Boglaev, I. (2015). Monotone iterates for solving nonlinear integro-parabolic equations of Volterra type. Journal of Computational and Applied Mathematics. 290, 224-238
[Journal article]Authored by: Boglaev, I.
Boglaev, I. (2015). Monotone iterative ADI method for semilinear parabolic problems. BIT Numerical Mathematics. 55(3), 647-676
[Journal article]Authored by: Boglaev, I.
Boglaev, I. (2014). A uniform monotone alternating direction scheme for nonlinear singularly perturbed parabolic problems. Journal of Computational and Applied Mathematics. 272, 148-161
[Journal article]Authored by: Boglaev, I.
Boglaev, I. (2014). Inexact block monotone methods for solving nonlinear elliptic problems. Journal of Computational and Applied Mathematics. 269, 109-117
[Journal article]Authored by: Boglaev, I.
Boglaev, I. (2013). Uniform quadratic convergence of a monotone weighted average method for semilinear singularly perturbed parabolic problems. Journal of Computational Mathematics. 31(6), 620-637
[Journal article]Authored by: Boglaev, I.
Boglaev, I. (2013). Uniform quadratic convergence of monotone iterates for nonlinear singularly perturbed parabolic problems. Numerical Algorithms. 64(4), 607-631
[Journal article]Authored by: Boglaev, I.
Boglaev, I. (2012). An inexact monotone method for solving semilinear parabolic problems. Applied Mathematics and Computation. 219(6), 3253-3263
[Journal article]Authored by: Boglaev, I.
Boglaev, I. (2012). On modified accelerated monotone iterates for solving semilinear parabolic problems. Applied Numerical Mathematics. 62(12), 1849-1863
[Journal article]Authored by: Boglaev, I.
Boglaev, I. (2012). Numerical solutions of coupled systems of nonlinear elliptic equations. Numerical Methods for Partial Differential Equations. 28(2), 621-640
[Journal article]Authored by: Boglaev, I.
Boglaev, I. (2011). Monotone relaxation iterates and application to semilinear singularly perturbed problems. International Journal of Numerical Analysis and Modeling, Series B. 2(4), 402-414 Retrieved from http://www.math.ualberta.ca/ijnamb/Volume-2-2011/No-4-11/2011-04-08.pdf
[Journal article]Authored by: Boglaev, I.
Boglaev, I. (2011). Monotone iterates with quadratic convergence rate for solving semilinear parabolic problems. International Journal of Numerical Analysis and Modeling, Series B. 2(2-3), 109-123 Retrieved from http://www.math.ualberta.ca/ijnamb/Volume-2-2011/No-2-11/2011-02-01.pdf
[Journal article]Authored by: Boglaev, I.
Boglaev, I. (2011). Uniform convergent monotone iterates for semilinear singularly perturbed parabolic problems. Journal of Computational and Applied Mathematics. 235(12), 3541-3553 Retrieved from http://www.sciencedirect.com/science/article/pii/S0377042711000859
[Journal article]Authored by: Boglaev, I.
Boglaev, I. (2011). Numerical solutions of nonlinear parabolic problems by monotone Jacobi and Gauss-Seidel methods. International Journal of Numerical Analysis and Modeling. 8(4), 599-614 Retrieved from http://www.math.ualberta.ca/ijnam/Volume-8-2011/No-4-11/2011-04-04.pdf
[Journal article]Authored by: Boglaev, I.
Boglaev, I. (2011). Numerical solutions of nonlinear parabolic problems by monotone jacobi and gauss-seidel methods. International Journal of Numerical Analysis and Modeling. 8(4), 599-614
[Journal article]Authored by: Boglaev, I.
Boglaev, I. (2011). Uniform convergent monotone iterates for semilinear singularly perturbed parabolic problems. Journal of Computational and Applied Mathematics. 235(12), 3541-3553
[Journal article]Authored by: Boglaev, I.
Boglaev, I. (2011). Monotone iterates with quadratic convergence rate for solving weighted average approximations to semilinear parabolic problems. Applied Mathematics and Computation. 217(13), 6390-6400
[Journal article]Authored by: Boglaev, I.
Boglaev, I. (2011). Monotone iterates for solving coupled systems of nonlinear parabolic equations. Computing (Vienna/New York). 92(1), 65-95
[Journal article]Authored by: Boglaev, I.
Hardy, M., & Boglaev, I. (2010). Parallel monotone domain decomposition algorithms for nonlinear singularly perturbed reaction-diffusion problems of parabolic type. Neural, Parallel and Scientific Computations. 18(2), 253-268
[Journal article]Authored by: Boglaev, I.
Boglaev, I. (2009). Robust monotone iterates for nonlinear singularly perturbed boundary value problems. Boundary Value Problems. , 1-17 Retrieved from http://www.boundaryvalueproblems.com/content/2009/1/320606
[Journal article]Authored by: Boglaev, I.
Boglaev, I. (2009). Robust monotone iterates for nonlinear singularly perturbed boundary value problems. Boundary Value Problems. 2009
[Journal article]Authored by: Boglaev, I.
Boglaev, I., & Hardy, M. (2008). Monotone domain decomposition algorithm for solving weighted average approximations to nonlinear singularly perturbed parabolic problems. Journal of Computational Mathematics. 26(1), 76-97
[Journal article]Authored by: Boglaev, I.
Boglaev, IP. (2008). Monotone iterates for solving systems of semilinear elliptic equations and applications. Australian and New Zealand Industrial and Applied Mathematics Journal. 49, 591-608
[Journal article]Authored by: Boglaev, I.
Boglaev, I., & Pack, S. (2008). A uniformly convergent method on arbitrary meshes for a semilinear convection-diffusion problem with discontinuous data. International Journal of Numerical Analysis and Modeling. 5(1), 24-39
[Journal article]Authored by: Boglaev, I.
Boglaev, I. (2008). The solution of a semilinear evolutionary convection-diffusion problem by a monotone domain decomposition algorithm. Applied Mathematics and Computation. 197(2), 536-547
[Journal article]Authored by: Boglaev, I.
Boglaev, I. (2007). On a block monotone domain decomposition algorithm for a nonlinear reaction-diffusion problem. Journal of Computational Analysis and Applications. 9(1), 55-75
[Journal article]Authored by: Boglaev, I.
Boglaev, I., & Hardy, M. (2007). Uniform convergence of a weighted average scheme for a nonlinear reaction-diffusion problem. Journal of Computational and Applied Mathematics. 200(2), 705-721
[Journal article]Authored by: Boglaev, I.
Boglaev, I. (2006). Monotone algorithms for solving nonlinear monotone difference schemes of parabolic type in the canonical form. Journal of Numerical Mathematics. 14(4), 247-266
[Journal article]Authored by: Boglaev, I.
Boglaev, I. (2006). Domain decomposition for a parabolic convection-diffusion problem. Numerical Methods for Partial Differential Equations. 22(6), 1361-1378
[Journal article]Authored by: Boglaev, I.
Boglaev, I. (2006). Monotone iterates for solving nonlinear monotone difference schemes. Computing (Vienna/New York). 78(1), 17-30
[Journal article]Authored by: Boglaev, I.
Boglaev, I., & Hardy, M. (2006). Monotone finite difference domain decomposition algorithms and applications to nonlinear singularly perturbed reaction-diffusion problems. Advances in Difference Equations. 2006
[Journal article]Authored by: Boglaev, I.
Boglaev, G., & Vulkov, L. (2006). A block monotone domain decomposition algorithm for a nonlinear singularly perturbed parabolic problem. International Journal of Numerical Analysis and Modeling. 3(2), 211-231
[Journal article]Authored by: Boglaev, I.
Boglaev, I., & Pack, S. (2006). A uniformly convergent method for a singularly perturbed semilinear reaction-diffusion problem with discontinuous data. Applied Mathematics and Computation. 182(1), 244-257
[Journal article]Authored by: Boglaev, I.
Boglaev, I. (2005). A monotone weighted average method for non-linear reaction-diffusion problem. International Journal of Computer Mathematics. 82(8), 1017-1031 Retrieved from http://www.tandfonline.com/doi/abs/10.1080/00207160500112811
[Journal article]Authored by: Boglaev, I.
Boglaev, I. (2005). Monotone Schwarz iterates for a semilinear parabolic convection-diffusion problem. Journal of Computational and Applied Mathematics. 183(1), 191-209 Retrieved from http://www.sciencedirect.com/science/article/pii/S0377042705000257
[Journal article]Authored by: Boglaev, I.
Boglaev, I. (2005). Uniform convergence of monotone iterative methods for semilinear singularly perturbed problems of elliptic and parabolic types. ELECTRONIC TRANSACTIONS ON NUMERICAL ANALYSIS. 20, 86-103
[Journal article]Authored by: Boglaev, I.
Boglaev, I. (2005). Schwarz alternating algorithms for a convection-diffusion problem. Journal of Applied Mathematics and Computations. 165(3), 647-668 Retrieved from http://www.sciencedirect.com/science/article/pii/S0096300304004096
[Journal article]Authored by: Boglaev, I.
Boglaev, I. (2005). A block monotone domain decomposition algorithm for a semilinear convection-diffusion problem. Journal of Computational and Applied Mathematics. 173(2), 259-277 Retrieved from http://www.sciencedirect.com/science/article/pii/S0377042704001566
[Journal article]Authored by: Boglaev, I.
Hardy, M., & Boglaev, I. (2004). Parallel implementation of a monotone domain decomposition algorithm for nonlinear reaction-diffusion problems. Australian and New Zealand Industrial and Applied Mathematics Journal. 46, 290-303 Retrieved from http://journal.austms.org.au/ojs/index.php/ANZIAMJ/article/view/960
[Journal article]Authored by: Boglaev, I.
Boglaev, I., & Duoba, V. (2004). Iterative domain decomposition algorithms for a convection-diffusion problem. Computers and Mathematics with Applications. 47(4-5), 501-518 Retrieved from http://www.sciencedirect.com/science/article/pii/S0898122104900417
[Journal article]Authored by: Boglaev, I.
Boglaev, I., & Duoba, V. (2004). On an uniform multidomain decomposition method applied to a singularly perturbed problem with regular boundary layers. Journal of Computational and Applied Mathematics. 166(1), 13-29 Retrieved from http://www.sciencedirect.com/science/article/pii/S0377042703008719
[Journal article]Authored by: Boglaev, I.
Boglaev, I. (2004). On monotone iterative methods for a nonlinear singularly perturbed reaction-diffusion problem. Journal of Computational and Applied Mathematics. 162(2), 445-466 Retrieved from http://www.sciencedirect.com/science/article/pii/S0377042703007593
[Journal article]Authored by: Boglaev, I.
Boglaev, I. (2004). A monotone Schwarz algorithm for a semilinear convection-diffusion problem. Journal of Numerical Mathematics. 12(3), 169-191 Retrieved from http://www.degruyter.com/view/j/jnma.2004.12.issue-3/1569395041931455/1569395041931455.xml
[Journal article]Authored by: Boglaev, I.
Boglaev, I. (2004). Uniform numerical methods on arbitrary meshes for singularly perturbed problems with discontinuous data. Applied Mathematics and Computation. 154(3), 815-833 Retrieved from http://www.sciencedirect.com/science/article/pii/S0096300303007513
[Journal article]Authored by: Boglaev, I.
Boglaev, I. (2004). Monotone iterative algorithms for a nonlinear singularly perturbed parabolic problem. Journal of Computational and Applied Mathematics. 172(2), 313-335 Retrieved from http://www.sciencedirect.com/science/article/pii/S0377042704001219
[Journal article]Authored by: Boglaev, I.
Boglaev, I., & Duoba, V. (2003). Domain decomposition for an advection-diffusion problem with parabolic layers. Applied Mathematics and Computation. 146(1), 27-53 Retrieved from http://www.sciencedirect.com/science/article/pii/S0096300302005143
[Journal article]Authored by: Boglaev, I.
Boglaev, I. (2002). Uniform convergent methods on arbitrary meshes for singularly perturbed problems with piecewise smooth coefficients. Research Letters in Information and Mathematical Sciences. 3, 1-14 Retrieved from http://muir.massey.ac.nz/bitstream/handle/10179/4374/Uniform_Convergent_Methods_on_Arbitrary_Meshes_for_Singularly_Perturbed_Problems_with_Piecewise_Smooth_Coefficients.pdf?sequence=1
[Journal article]Authored by: Boglaev, I.
Boglaev, IP. (2002). The solution of a singularly perturbed convection-diffusion problem by an iterative domain decomposition method. Numerical Algorithms. 31(1-4), 27-46
[Journal article]Authored by: Boglaev, I.
Boglaev, I. (2001). Domain decomposition for a singularly perturbed parabolic problem with a convection-dominated term. Journal of Computational and Applied Mathematics. 134(1-2), 283-299 Retrieved from http://www.sciencedirect.com/science/article/pii/S0377042700005550
[Journal article]Authored by: Boglaev, I.
Boglaev, I. (2000). Domain decomposition in boundary layers for singularly perturbed problems. Applied Numerical Mathematics. 34(2-3), 145-166 Retrieved from http://www.sciencedirect.com/science/article/pii/S0168927499001245
[Journal article]Authored by: Boglaev, I.

Book

Boglaev, IP., & Duoba, V. (2001). Domain decomposition for a singularly perturbed problem with parabolic layers. In Topics in Applied and Theoretical Mathematics and Computer Science. (pp. 7 - 12). Miami Lakes, FL: WSEAS Press
[Chapter]Authored by: Boglaev, I.

Report

Boglaev, IP., & Hardy, MP.(2005). A monotone weighted average schwarz iterates for solving a nonlinear singularly perturbed parabolic problem. Palmerston North, NZ: Institute of Fundamental Sciences, Massey University
[Technical Report]Authored by: Boglaev, I.
Boglaev, IP., & Hardy, MP.(2004). Monotone box-domain decompostition algorithms for nonlinear singularly perturbed reaction-diffusion problems. Palmerston North, NZ: Institute of Fundamental Sciences, Massey University
[Technical Report]Authored by: Boglaev, I.
Boglaev, IP.(2003). Multidomain decomposition algorithms for solving a parabolic convection-diffusion problem. Massey University, Palmerston North, NZ: Institute of Fundemental Sciences, Massey University
[Technical Report]Authored by: Boglaev, I.

Conference

Boglaev, IP. (2011). Monotone domain decomposition algorithm for solving systems of semilinear parabolic equations. In M. Koleva, & L. Vulkov (Eds.) Proceedings of the 5th International Conference, FDM. (pp. 9 - 21). Lozenetz, Bulgaria: Finite Difference Methods: Theory and Applications
[Conference Paper in Published Proceedings]Authored by: Boglaev, I.
Boglaev, I. (2011). Uniform quadratic convergence of monotone iterates for semilinear singularly perturbed elliptic problems. Lecture Notes in Computational Science and Engineering. Vol. 81 LNCSE (pp. 37 - 46).
[Conference Paper in Published Proceedings]Authored by: Boglaev, I.
Boglaev, I., & Pack, S. (2007). Block monotone domain decomposition methods for a quasi-linear anisotropic convection-diffusion equation. Australian and New Zealand Industrial and Applied Mathematics Journal. Vol. 49 (pp. 493 - 512). Australia: 8th Biennial Engineering Mathematics and Applications Conference [EMAC 2007]
[Conference Paper in Published Proceedings]Authored by: Boglaev, I.
Pack, S., & Boglaev, IP. (2007). Block monotone domain decomposition algorithms for singularly perturbed convection-diffusion problems. In 8th Biennial Engineering Mathematics & Applications Conference (EMAC 2007): Book of Abstracts(pp. 24). : University of Tasmania
[Conference Abstract]Authored by: Boglaev, I.
Boglaev, IP. (2007). Monotone iterates for solving systems of semilinear elliptic equations and applications. In 8th Biennial Engineering Mathematics & Applications Conference (EMAC 2007): Book of Abstracts(pp. 50). : University of Tasmania
[Conference Abstract]Authored by: Boglaev, I.
Pack, S., & Boglaev, IP. (2007). Parallel two-level Schwarz algorithm for solving singularly perturbed convection-diffusion problems. In 43rd Applied Mathematics Conference (ANZIAM 2007)(pp. unpaged - 1). : Australian Mathematical Society
[Conference Abstract]Authored by: Boglaev, I.
Pack, S., & Boglaev, IP. (2007, January). Parallel two-level Schwarz algorithm for solving singularly perturbed convection-diffusion problems. Presented at 43rd Applied Mathematics Conference (ANZIAM 2007). Fremantle, WA.
[Conference Oral Presentation]Authored by: Boglaev, I.
Boglaev, IP. (2007, July). Monotone iterates for solving systems of semilinear elliptic equations and applications. Presented at 8th Biennial Engineering Mathematics & Applications Conference (EMAC 2007). University of Tasmania, Hobart, TAS.
[Conference Oral Presentation]Authored by: Boglaev, I.
Pack, S., & Boglaev, IP. (2007, July). Block monotone domain decomposition algorithms for singularly perturbed convection-diffusion problems. Presented at 8th Biennial Engineering Mathematics & Applications Conference (EMAC 2007). University of Tasmania, Hobart, TAS.
[Conference Oral Presentation]Authored by: Boglaev, I.
Boglaev, I., & Pack, S. (2007). An iterative domain decomposition algorithm for a nonlinear convection-diffusion problem. ANZIAM Journal. Vol. 48 (pp. C494 - C508).
[Conference Paper in Published Proceedings]Authored by: Boglaev, I.
Boglaev, I. (2007). A monotone domain decomposition algorithm for nonlinear parabolic difference schemes in the canonical form. ANZIAM Journal. Vol. 48 (pp. C397 - C412).
[Conference Paper in Published Proceedings]Authored by: Boglaev, I.
Boglaev, IP. (2007). Monotone iterates for solving coupled systems of nonlinear elliptic equations. In I. Farago, P. Vabishchevich, & L. Vulkov (Eds.) Finite Difference Methods: Theory and Applications. Proceedings of the 4th International Conference, FDM. (pp. 1 - 9).
[Conference Paper in Published Proceedings]Authored by: Boglaev, I.
Boglaev, IP., & Pack, S. (2007). Parallel two-level schwarz algorithm for a convection-diffusion problem. In I. Farago, P. Vabishchevich, & L. Vulkov (Eds.) Finite Difference Methods: Theory and Applications. Proceedings of the 4th International Conference, FDM. (pp. 149 - 154).
[Conference Paper in Published Proceedings]Authored by: Boglaev, I.
Boglaev, IP., & Pack, S. (2006). Iterative monotonic domain decomposition algorithims for convection-diffusion singularly perturbed equations. In 13th Biennial Computational Techniques and Applications Conference(pp. 45). : James Cook University
[Conference Abstract]Authored by: Boglaev, I.
Boglaev, IP. (2006). Monotone iterates for nonlinear difference schemes of parabolic type in the canonical form. In 13th Biennial Computational Techniques and Applications Conference(pp. 15). : James Cook University
[Conference Abstract]Authored by: Boglaev, I.
Boglaev, IP. (2006). Monotone iterates for solving coupled systems of nonlinear elliptic equations. In New Zealand Mathematics Colloquium(pp. 17). : University of Waikato, Department of Mathematics
[Conference Abstract]Authored by: Boglaev, I.
Rynhart, PR., & Boglaev, IP. (2006, February). Parallel monotone domain decomposition algorithms for solving nonlinear reaction-diffusion problems with mixed boundary conditions. Presented at 42nd Applied Mathematics Conference. Mansfield, VIC.
[Conference Oral Presentation]Authored by: Boglaev, I., Rynhart, P.
Rynhart, PR., & Boglaev, IP. (2006). Parallel monotone domain decomposition algorithms for solving nonlinear reaction-diffusion problems with mixed boundary conditions. In 42nd Applied Mathematics Conference(pp. 55). : ANZIAM
[Conference Abstract]Authored by: Boglaev, I., Rynhart, P.
Boglaev, IP., & Pack, S. (2006, July). Iterative monotonic domain decomposition algorithms for convection-diffusion singularly perturbed equations. Presented at 13th Biennial Computational Techniques and Applications Conference. James Cook University, Townsville, QLD.
[Conference Oral Presentation]Authored by: Boglaev, I.
Boglaev, IP. (2006, July). Monotone iterates for nonlinear difference schemes of parabolic type in the canonical form. Presented at 13th Biennial Computational Techniques and Applications Conference. James Cook University, Townsville, QLD.
[Conference Oral Presentation]Authored by: Boglaev, I.
Boglaev, IP. (2006, December). Monotone iterates for solving coupled systems of nonlinear elliptic equations. Presented at New Zealand Mathematics Colloquium. University of Waikato, Hamilton, NZ.
[Conference Oral Presentation]Authored by: Boglaev, I.
Boglaev, IP. (2005). Uniform convergence of a monotone iterative method for a nonlinear reaction-diffusion problem. Numerical Analysis and Its Applications, Third International Conference. Vol. 3401 (pp. 1 - 13). Berlin
[Conference Paper in Published Proceedings]Authored by: Boglaev, I.
Boglaev, IP., & Duoba, V. (2004). On an uniform multidomain decomposition method applied to a singularly perturbed problem with regular boundary layers. Journal of Computational and Applied Mathematics. Vol. 166 (pp. 13 - 29). : International Conference on Boundary and Interior Layers - Computational and Asymptotic Methods (BAIL 2002)
[Conference Paper in Published Proceedings]Authored by: Boglaev, I.
Hardy, MP., & Boglaev, IP. (2004, December). Parallel realisation of monotone domain decomposition algorithms for nonlinear reaction-diffusion problems. Presented at New Zealand Mathematics Colloquium 2004. University of Otago, Dunedin, NZ.
[Conference Oral Presentation]Authored by: Boglaev, I.
Hardy, MP., & Boglaev, IP. (2004, October). Parallel implementation of a domain decomposition algorithm for nonlinear reactions: Diffusion problems. Presented at ANZIAM. Palmerston North, NZ.
[Conference Oral Presentation]Authored by: Boglaev, I.
Hardy, MP., & Boglaev, IP. (2004, September). Parallel implementation of a domain decomposition algorithm for nonlinear reactions: Diffusion problems. Presented at CIAC 2004. Melbourne, VIC.
[Conference Oral Presentation]Authored by: Boglaev, I.
Boglaev, IP. (2004, December). Monotone Schwarz iterates for a semilinear parabolic convection diffusion problem. Presented at New Zealand Mathematics Colloquium. University of Otago, Dunedin, NZ.
[Conference Oral Presentation]Authored by: Boglaev, I.
Boglaev, IP. (2004). Monotone multidomain decomposition algorithm for nonlinear singular perturbation problem. BAIL 2004: An International Conference on Boundary and Interior Layers - Computational & Asymptotic Methods. (pp. 1 - 6). Toulouse, France
[Conference Paper in Published Proceedings]Authored by: Boglaev, I.
Boglaev, IP. (2004, June). Parallel monotone algorithm for a nonlinear parabolic reaction-diffusion problem. Presented at VECPAR 2004. Universidad Politecnica de Valencia, Valencia, Spain.
[Conference Oral Presentation]Authored by: Boglaev, I.
Boglaev, IP. (2004, April). Physically motivated domain decomposition for singularly perturbed equations. Presented at Workshop on Computational Partial and Ordinary Differential Equations. Auckland, NZ.
[Conference Oral Presentation]Authored by: Boglaev, I.
Boglaev, IP. (2004, April). Physically motivated domain decomposition for singularly perturbed equations. Presented at Workshop on Computational Partial and Ordinary Differential Equations. Auckland, NZ.
[Conference Oral Presentation]Authored by: Boglaev, I.
Boglaev, IP. (2004, July). Monotone multidomain decomposition algorithm for nonlinear singular perturbation problem. Presented at BAIL 2004: An International Conference on Boundary and Interior Layers - Computational and Asymptotic Methods. Toulouse, France.
[Conference Oral Presentation]Authored by: Boglaev, I.
Boglaev, IP. (2004). Parallel monotone algorithm for a nonlinear parabolic reaction-diffusion problem. VECPAR 2004: 6th International Meeting on High Performance Computing for Computational Science. Vol. 1 (pp. 23 - 36). Valencia, Spain
[Conference Paper in Published Proceedings]Authored by: Boglaev, I.
Boglaev, IP. (2002). Uniform domain decomposition for a convection-diffusion problem. In N. Debit, M. Garbey, R. Hoppe, D. Keyes, Y. Kuznetsov, & JP. Eds (Eds.) Thirteenth International Conference on Domain Decomposition Methods. (pp. 313 - 320). Barcelona, Spain
[Conference Paper in Published Proceedings]Authored by: Boglaev, I.
Boglaev, IP., & Duoba, V. (2002). Uniform domain decomposition for a singularly perturbed problem with regular layers. In S. Wang, & NF. Eds (Eds.) International Conference on Boundary and Interior Layers, Computational and Asymptotic Methods. (pp. 49 - 54). Perth, WA
[Conference Paper in Published Proceedings]Authored by: Boglaev, I.
Boglaev, IP. (2000). Numerical methods for singular perturbation problems and their parallel implementation. 16th Institute for Mathematics and Computer Science World Congress. (pp. 312 - 313). Lausanne, Switzerland
[Conference Paper in Published Proceedings]Authored by: Boglaev, I.

Other

Boglaev, IP. (2006). Monotone iterates for nonlinear difference schemes of parabolic type in the canonical forms. Presented at Massey University, Palmerston North, NZ.
[Oral Presentation]Authored by: Boglaev, I.
Boglaev, IP. (2004). Uniform convergence of monotone interactive methods for semilinear singularly perturbed problems of elliptic and parabolic types. Massey University, Institute of Fundamental Sciences
[Other]Authored by: Boglaev, I.
Boglaev, IP. (2004). A monotone weighted average method for a nonlinear singularly perturbed reaction-diffusion problem. Massey University, Institute of Fundamental Sciences
[Other]Authored by: Boglaev, I.
Boglaev, IP., & Hardy, MP. (2004). Monotone box-domain decomposition algorithms for nonlinear singularly perturbed reaction-diffusion problems. Massey University, Institute of Fundamental Sciences
[Other]Authored by: Boglaev, I.

Supervision and Teaching

Summary of Doctoral Supervision

Position Current Completed
Supervisor 1 1
CoSupervisor 0 2

Current Doctoral Supervision

Supervisor of:

  • Mohamed Al-Sultani - PhD
    Monotone numerical methods for nonlinear partial and integro-partial equations

Completed Doctoral Supervision

Supervisor of:

  • 2010 - Sophie Pack - PhD
    Monotone iterates for nonlinear singularly perturbed convection-diffusion problems

CoSupervisor of:


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