A Semi-Implicit Projection Algorithm for the Navier-Stokes Equations with Application to Flows in Complex Geometries. - Peter Dimitrov Minev; C. R. Ethier (LSSC, 1999)

A Lagrange Multipliers/Fictitious Domain Approach for Particulate Flow. - C. Diaz-Goano; Peter Dimitrov Minev; Krishnaswamy Nandakumar (LSSC, 2001)

A 3D Projection Scheme for Incompressible Multiphase Flows Using Dynamic Front Refinement and Reconnection. - Tong Chen; Peter Dimitrov Minev; Krishnaswamy Nandakumar (LSSC, 2003)

A Fictitious Domain Method for Particle Sedimentation. - C. Veeramani; Peter Dimitrov Minev; Krishnaswamy Nandakumar (LSSC, 2005)

Error Analysis of Pressure-Correction Schemes for the Time-Dependent Stokes Equations with Open Boundary Conditions. - Jean-Luc Guermond; Peter D. Minev; Jie Shen 001 (SIAM J. Numer. Anal., 2005)

A fictitious domain formulation for flows with rigid particles: A non-Lagrange multiplier version. - C. Veeramani; Peter Dimitrov Minev; Krishnaswamy Nandakumar (J. Comput. Phys., 2007)

On a MIC(0) preconditioning of non-conforming mixed FEM elliptic problems. - Svetozar Margenov; Peter D. Minev (Math. Comput. Simul., 2007)

A grid-alignment finite element technique for incompressible multicomponent flows. - Boyan Bejanov; Jean-Luc Guermond; Peter D. Minev (J. Comput. Phys., 2008)

Convergence analysis of a class of massively parallel direction splitting algorithms for the Navier-Stokes equations in simple domains. - Jean-Luc Guermond; Peter D. Minev; Abner J. Salgado (Math. Comput., 2012)

A fast algorithm for direct simulation of particulate flows using conforming grids. - Johnwill Keating; Peter D. Minev (J. Comput. Phys., 2013)

A Note on Local Refinement for Direction Splitting Methods. - T. Gornak; Oleg Iliev 001; Peter D. Minev (NMA, 2014)

A fast algorithm for 3D simulation of thermal stratification in containment pools of nuclear power plants. - T. Gornak; Oleg Iliev 001; Peter D. Minev; A. Zemitis (Comput. Math. Appl., 2014)

Numerical Methods for Scientific Computations and Advanced Applications. - Krassimir Georgiev; Oleg Iliev 001; Peter D. Minev (Comput. Math. Appl., 2015)

High-Order Time Stepping for the Incompressible Navier-Stokes Equations. - Jean-Luc Guermond; Peter D. Minev (SIAM J. Sci. Comput., 2015)

Multiscale direction-splitting algorithms for parabolic equations with highly heterogeneous coefficients. - Shriram Srinivasan; Raytcho D. Lazarov; Peter D. Minev (Comput. Math. Appl., 2016)

Splitting schemes for unsteady problems involving the grad-div operator. - Peter D. Minev; Petr N. Vabishchevich (CoRR, 2016)

An operator-splitting scheme for the stream function-vorticity formulation of the unsteady Navier-Stokes equations. - Peter D. Minev; Petr N. Vabishchevich (J. Comput. Appl. Math., 2016)

High-order time stepping for the Navier-Stokes equations with minimal computational complexity. - Jean-Luc Guermond; Peter D. Minev (J. Comput. Appl. Math., 2017)

Flux formulation of parabolic equations with highly heterogeneous coefficients. - Peter D. Minev; Shriram Srinivasan; Petr N. Vabishchevich (J. Comput. Appl. Math., 2018)

Splitting schemes for the stress formulation of the incompressible Navier-Stokes equations. - Peter D. Minev; Petr N. Vabishchevich (J. Comput. Appl. Math., 2018)

High-Order Adaptive Time Stepping for the Incompressible Navier-Stokes Equations. - Jean-Luc Guermond; Peter D. Minev (SIAM J. Sci. Comput., 2019)

A Massively Parallel Algorithm for the Three-Dimensional Navier-Stokes-Boussinesq Simulations of the Atmospheric Phenomena. - Maciej Paszynski; Leszek Siwik; Krzysztof Podsiadlo; Peter D. Minev (ICCS (1), 2020)

An efficient algorithm for weakly compressible flows in spherical geometries. - Roman Frolov; Peter D. Minev; Aziz Takhirov (CoRR, 2020)

Sixth order compact finite difference schemes for Poisson interface problems with singular sources. - Qiwei Feng; Bin Han 003; Peter D. Minev (Comput. Math. Appl., 2021)

Sixth Order Compact Finite Difference Scheme for Poisson Interface Problem with Singular Sources. - Qiwei Feng; Bin Han 003; Peter D. Minev (CoRR, 2021)

A high order compact finite difference scheme for elliptic interface problems with discontinuous and high-contrast coefficients. - Qiwei Feng; Bin Han 003; Peter D. Minev (Appl. Math. Comput., 2022)

Hybrid Finite Difference Schemes for Elliptic Interface Problems with Discontinuous and High-Contrast Variable Coefficients. - Qiwei Feng; Bin Han 003; Peter D. Minev (CoRR, 2022)

Sixth-Order Hybrid FDMs and/or the M-Matrix Property for Elliptic Interface Problems with Mixed Boundary Conditions. - Qiwei Feng; Bin Han 003; Peter D. Minev (CoRR, 2023)

Compact 9-point finite difference methods with high accuracy order and/or M-matrix property for elliptic cross-interface problems. - Qiwei Feng; Bin Han 003; Peter D. Minev (J. Comput. Appl. Math., 2023)

Sixth-order hybrid finite difference methods for elliptic interface problems with mixed boundary conditions. - Qiwei Feng; Bin Han 003; Peter D. Minev (J. Comput. Phys., 2024)