Faculty

Institution

Unit

Venue

Rakhim Aitbayev

Associate Professor

New Mexico Institute of Mining and Technology

Affiliations

Energetic Materials Research and Testing Center

Institute For Engineering Research And Applications

Mathematics Department

New Mexico Institute of Mining and Technology

Rakhim Aitbayev is currently serving as an Energetic Materials Research And Testing Center Associate Professor at New Mexico Institute of Mining And Technology.

Honors

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Experiences

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Education

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Rakhim Aitbayev

New Mexico Institute of Mining and Technology

Associate Professor

You can click a keyword to filter the displayed items

applied mathematics numerical analysis partial differential equations computational mathematics boundary value problems numerical mathematics numerical method for partial differential equation numerical computation numerical algorithms engineering differential equations nonlinear analysis scientific computing boundary element methods finite element methods spline (mathematics) biharmonic problem multilevel preconditioners biophysics applied physics mathematical biology nanotechnology finite element method in structural mechanics machine learning method of fundamental solution numerical treatment free boundary problems pde-constrained optimization error analysis geometry processing membrane channels electroneutrality boundary conditions mathematical studies poisson-nernst-planck model rectangular polygon fourth-order collocation scheme quadrature galerkin solution nonlinear dirichlet problems orthogonal spline collocation mesh independence principle nonlinear collocation problem

Notable Scholarly Works

Notable Federal Grants

Collaborators

Mathematical Studies of Poisson–Nernst–Planck Model for Membrane Channels: Finite Ion Size Effects Without Electroneutrality Boundary Conditions. Journal of Computational and Applied Mathematics (2018)

Rakhim AitbayevPeter W. BatesHong LuLijun ZhangMingji Zhang

biophysicsmathematical studieselectroneutrality boundary conditionsapplied mathematicsmathematical biologypoisson-nernst-planck modelapplied physicsmembrane channelsnanotechnology

A Fourth-Order Collocation Scheme for Two-Point Interface Boundary Value Problems. Advances in Numerical Analysis (2014)

boundary element methodsnumerical analysisnumerical treatmentapplied mathematicsmethod of fundamental solutionnumerical mathematicspartial differential equationsnumerical computationfourth-order collocation schemenumerical method for partial differential equationdifferential equationsboundary value problemscomputational mathematics

Existence and Uniqueness for a Two-Point Interface Boundary Value Problem. SHILAP Revista de lepidopterología (2013)

differential equationsboundary value problemsfree boundary problemspartial differential equations

A Quadrature Finite Element Galerkin Scheme for a Biharmonic Problem on a Rectangular Polygon. Numerical Methods for Partial Differential Equations (2007)

boundary element methodsnumerical analysisapplied mathematicsengineeringbiharmonic problemnumerical mathematicsrectangular polygonpartial differential equationsnumerical computationnumerical method for partial differential equationfinite element methodsboundary value problemsfinite element method in structural mechanicscomputational mathematics

An Error Analysis and the Mesh Independence Principle for a Nonlinear Collocation Problem. Numerical Methods for Partial Differential Equations (2006)

numerical analysisscientific computingnonlinear collocation problemsystems engineeringcomputational mechanicsapplied mathematicserror analysisnumerical mathematicspartial differential equationsnumerical algorithmsnumerical computationmesh independence principlenumerical method for partial differential equationnonlinear analysisboundary value problemsgeometry processingcomputational mathematics

Multilevel Preconditioners for a Quadrature Galerkin Solution of a Biharmonic Problem. Numerical Methods for Partial Differential Equations (2005)

numerical analysisengineeringquadrature galerkin solutionbiharmonic problemnumerical mathematicspartial differential equationsmultilevel preconditionersnumerical method for partial differential equationfinite element methodsboundary value problemscomputational mathematics

Multilevel Preconditioners for Non--Self-Adjoint or Indefinite Orthogonal Spline Collocation Problems. SIAM Journal on Numerical Analysis (2005)

numerical analysisscientific computingpde-constrained optimizationapplied mathematicsnumerical mathematicspartial differential equationsnumerical algorithmsnumerical computationmultilevel preconditionerscomputational engineeringnumerical method for partial differential equationnonlinear analysislinear algebranumerical linear algebracomputational mathematics

A Preconditioned Conjugate Gradient Method for Nonselfadjoint or Indefinite Orthogonal Spline Collocation Problems. SIAM Journal on Numerical Analysis (2003)

Rakhim AitbayevBernard Bialecki

numerical analysisspline (mathematics)numerical algorithmsapplied mathematics

Orthogonal Spline Collocation for Nonlinear Dirichlet Problems. SIAM Journal on Numerical Analysis (2000)

Rakhim AitbayevBernard Bialecki

numerical analysissystems engineeringapplied mathematicsnonlinear dirichlet problemscomputer scienceorthogonal spline collocationmachine learningspline (mathematics)

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Rakhim Aitbayev

Associate Professor

New Mexico Institute of Mining and Technology

Affiliations

Energetic Materials Research and Testing Center

Institute For Engineering Research And Applications

Mathematics Department

New Mexico Institute of Mining and Technology

Rakhim Aitbayev is currently serving as an Energetic Materials Research And Testing Center Associate Professor at New Mexico Institute of Mining And Technology.

Honors

Create free account to unlock more features

Experiences

Create free account to unlock more features

Education

Create free account to unlock more features

Rakhim Aitbayev

New Mexico Institute of Mining and Technology

Associate Professor

You can click a keyword to filter the displayed items

Notable Scholarly Works

Notable Federal Grants

Collaborators

Rakhim AitbayevPeter W. BatesHong LuLijun ZhangMingji Zhang

biophysicsmathematical studieselectroneutrality boundary conditionsapplied mathematicsmathematical biologypoisson-nernst-planck modelapplied physicsmembrane channelsnanotechnology

A Fourth-Order Collocation Scheme for Two-Point Interface Boundary Value Problems. Advances in Numerical Analysis (2014)

Existence and Uniqueness for a Two-Point Interface Boundary Value Problem. SHILAP Revista de lepidopterología (2013)

differential equationsboundary value problemsfree boundary problemspartial differential equations

A Quadrature Finite Element Galerkin Scheme for a Biharmonic Problem on a Rectangular Polygon. Numerical Methods for Partial Differential Equations (2007)

An Error Analysis and the Mesh Independence Principle for a Nonlinear Collocation Problem. Numerical Methods for Partial Differential Equations (2006)

Multilevel Preconditioners for a Quadrature Galerkin Solution of a Biharmonic Problem. Numerical Methods for Partial Differential Equations (2005)

Multilevel Preconditioners for Non--Self-Adjoint or Indefinite Orthogonal Spline Collocation Problems. SIAM Journal on Numerical Analysis (2005)

A Preconditioned Conjugate Gradient Method for Nonselfadjoint or Indefinite Orthogonal Spline Collocation Problems. SIAM Journal on Numerical Analysis (2003)

Rakhim AitbayevBernard Bialecki

numerical analysisspline (mathematics)numerical algorithmsapplied mathematics

Orthogonal Spline Collocation for Nonlinear Dirichlet Problems. SIAM Journal on Numerical Analysis (2000)

Rakhim AitbayevBernard Bialecki

numerical analysissystems engineeringapplied mathematicsnonlinear dirichlet problemscomputer scienceorthogonal spline collocationmachine learningspline (mathematics)

1
10 / page