HR job title
- Professor
- Contact Info
- 1 559 464 5814
Bonito, Andrea Professor
Positions
- Professor, Mathematics, College of Arts and Sciences
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- Works By Students
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Overview
Publications
selected publications
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academic article
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Bonito, A., Nochetto, R. H., & Yang, S.
(2024).
Gamma-convergent LDG method for large bending deformations of bilayer plates. IMA Journal of Numerical Analysis.
-
Bonito, A., Guignard, D., & Lei, W.
(2024).
Numerical Approximation of Gaussian Random Fields on Closed Surfaces. 0(0),
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Bonito, A., Guignard, D., Nochetto, R. H., & Yang, S.
(2023).
Numerical analysis of the LDG method for large deformations of prestrained plates. 43(2), 627-662.
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Bartels, S., Bonito, A., & Tscherner, P.
(2023).
Error estimates for a linear folding model. IMA Journal of Numerical Analysis.
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Bonito, A., & Lei, W.
(2022).
Approximation of the Spectral Fractional Powers of the Laplace-Beltrami Operator. Numerical Mathematics Theory Methods and Applications.
15(4), 1193-1218.
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Bonito, A., Guignard, D., Nochetto, R. H., & Yang, S.
(2022).
LDG approximation of large deformations of prestrained plates. Journal of Computational Physics.
448, 110719-110719.
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Bartels, S., Bonito, A., & Hornung, P.
(2022).
Modeling and simulation of thin sheet folding. Interfaces and Free Boundaries.
24(4), 459-485.
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Bonito, A., DeVore, R., Guignard, D., Jantsch, P., & Petrova, G.
(2021).
Polynomial Approximation of Anisotropic Analytic Functions of Several Variables. Constructive Approximation.
53(2), 319-348.
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Bonito, A., Girault, V., Guignard, D., Rajagopal, K. R., & Suli, E.
(2021).
Finite element approximation of steady flows of colloidal solutions. 55(5), 1963-2011.
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Bonito, A., Cohen, A., DeVore, R., Guignard, D., Jantsch, P., & Petrova, G.
(2021).
Nonlinear methods for model reduction. 55(2), 507-531.
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Bonito, A., Nochetto, R. H., & Ntogkas, D.
(2021).
DG approach to large bending plate deformations with isometry constraint. 31(01), 133-175.
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Bonito, A., & Nazarov, M.
(2021).
NUMERICAL SIMULATIONS OF SURFACE QUASI-GEOSTROPHIC FLOWS ON PERIODIC DOMAINS. SIAM Journal on Scientific Computing.
43(2), B405-B430.
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Bonito, A., Guignard, D., & Zhang, A. R.
(2020).
Reduced basis approximations of the solutions to spectral fractional difusion problems. Journal of Numerical Mathematics.
28(3), 147-160.
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Bonito, A., Girault, V., & Suli, E.
(2020).
Finite element approximation of a strain-limiting elastic model. IMA Journal of Numerical Analysis.
40(1), 29-86.
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Bonito, A., Demlow, A., & Nochetto, R. H.
(2020).
Chapter 1 Finite element methods for the LaplaceBeltrami operator. Handbook of Numerical Analysis.
21, 1-103.
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Bonito, A., Nochetto, R. H., & Ntogkas, D.
(2020).
Discontinuous Galerkin approach to large bending deformation of a bilayer plate with isometry constraint. Journal of Computational Physics.
423, 109785-109785.
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Bonito, A., & Wei, P.
(2020).
Electroconvection of thin liquid crystals: Model reduction and numerical simulations. Journal of Computational Physics.
405, 109140-109140.
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Bonito, A., Lei, W., & Salgado, A. J.
(2020).
Finite element approximation of an obstacle problem for a class of integro-differential operators. 54(1), 229-253.
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Bonito, A., Demlow, A., & Licht, M.
(2020).
A DIVERGENCE-CONFORMING FINITE ELEMENT METHOD FOR THE SURFACE STOKES EQUATION. SIAM Journal on Numerical Analysis.
58(5), 2764-2798.
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Bonito, A., Lei, W., & Pasciak, J. E.
(2019).
On sinc quadrature approximations of fractional powers of regularly accretive operators. Journal of Numerical Mathematics.
27(2), 57-68.
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Bonito, A., Lei, W., & Pasciak, J. E.
(2019).
Numerical approximation of the integral fractional Laplacian. Numerische Mathematik.
142(2), 235-278.
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Berrone, S., Bonito, A., Stevenson, R., & Verani, M.
(2019).
AN OPTIMAL ADAPTIVE FICTITIOUS DOMAIN METHOD. Mathematics of Computation.
88(319), 2101-2134.
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Bonito, A., & Demlow, A.
(2019).
A POSTERIORI ERROR ESTIMATES FOR THE LAPLACE-BELTRAMI OPERATOR ON PARAMETRIC C2 SURFACES. 57(3), 973-996.
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Bonito, A., Borthagaray, J. P., Nochetto, R. H., Otarola, E., & Salgado, A. J.
(2018).
Numerical methods for fractional diffusion. Computing and Visualization in Science.
19(5-6), 19-46.
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Bartels, S., Bonito, A., Muliana, A. H., & Nochetto, R. H.
(2018).
Modeling and simulation of thermally actuated bilayer plates. Journal of Computational Physics.
354, 512-528.
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Bonito, A., Demlow, A., & Owen, J.
(2018).
A PRIORI ERROR ESTIMATES FOR FINITE ELEMENT APPROXIMATIONS TO EIGENVALUES AND EIGENFUNCTIONS OF THE LAPLACE-BELTRAMI OPERATOR. SIAM Journal on Numerical Analysis.
56(5), 2963-2988.
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Bonito, A., Lei, W., & Pasciak, J. E.
(2017).
Numerical Approximation of Space-Time Fractional Parabolic Equations. Computational Methods in Applied Mathematics.
17(4), 679-705.
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Bonito, A., & Pasciak, J. E.
(2017).
Numerical approximation of fractional powers of regularly accretive operators (vol 37, pg 1245, 2017). IMA Journal of Numerical Analysis.
37(4), 2170-2170.
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Bonito, A., & Pasciak, J. E.
(2017).
Numerical approximation of fractional powers of regularly accretive operators. IMA Journal of Numerical Analysis.
37(3), 1245-1273.
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Bartels, S., Bonito, A., & Nochetto, R. H.
(2017).
Bilayer Plates: Model Reduction, -Convergent Finite Element Approximation, and Discrete Gradient Flow. 70(3), 547-589.
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Bonito, A., Lei, W., & Pasciak, J. E.
(2017).
The approximation of parabolic equations involving fractional powers of elliptic operators. Journal of Computational and Applied Mathematics.
315, 32-48.
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Bonito, A., Cohen, A., DeVore, R., Petrova, G., & Welper, G.
(2017).
DIFFUSION COEFFICIENTS ESTIMATION FOR ELLIPTIC PARTIAL DIFFERENTIAL EQUATIONS. SIAM Journal on Mathematical Analysis.
49(2), 1570-1592.
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Bonito, A., Manuel Cascon, J., Mekchay, K., Morin, P., & Nochetto, R. H.
(2016).
High-Order AFEM for the Laplace-Beltrami Operator: Convergence Rates. Foundations of Computational Mathematics.
16(6), 1473-1539.
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Bonito, A., Guermond, J., & Luddens, F.
(2016).
AN INTERIOR PENALTY METHOD WITH C0 FINITE ELEMENTS FOR THE APPROXIMATION OF THE MAXWELL EQUATIONS IN HETEROGENEOUS MEDIA: CONVERGENCE ANALYSIS WITH MINIMAL REGULARITY. 50(5), 1457-1489.
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Bonito, A., Guermond, J., & Lee, S.
(2016).
Numerical simulations of bouncing jets. 80(1), 53-75.
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Bonito, A., & Demlow, A.
(2016).
CONVERGENCE AND OPTIMALITY OF HIGHER-ORDER ADAPTIVE FINITE ELEMENT METHODS FOR EIGENVALUE CLUSTERS. SIAM Journal on Numerical Analysis.
54(4), 2379-2388.
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Bonito, A., & Pasciak, J. E.
(2015).
NUMERICAL APPROXIMATION OF FRACTIONAL POWERS OF ELLIPTIC OPERATORS. Mathematics of Computation.
84(295), 2083-2110.
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Bonito, A., & Devaud, D.
(2015).
ADAPTIVE FINITE ELEMENT METHODS FOR THE STOKES PROBLEM WITH DISCONTINUOUS VISCOSITY. Mathematics of Computation.
84(295), 2137-2162.
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Bonito, A., Guermond, J., & Popov, B.
(2014).
STABILITY ANALYSIS OF EXPLICIT ENTROPY VISCOSITY METHODS FOR NON-LINEAR SCALAR CONSERVATION EQUATIONS. Mathematics of Computation.
83(287), 1039-1062.
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Bonito, A., & Glowinski, R.
(2014).
ON THE NODAL SET OF THE EIGENFUNCTIONS OF THE LAPLACE-BELTRAMI OPERATOR FOR BOUNDED SURFACES IN R3: A COMPUTATIONAL APPROACH. 13(5), 2115-2126.
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Bonito, A., Kyza, I., & Nochetto, R. H.
(2013).
Time-discrete higher order ALE formulations: a priori error analysis. Numerische Mathematik.
125(2), 225-257.
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Lee, S., Li, E. Q., Marston, J. O., Bonito, A., & Thoroddsen, S. T.
(2013).
Leaping shampoo glides on a lubricating air layer. Physical Review E: Statistical, Nonlinear, and Soft Matter Physics.
87(6), 061001.
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Srinivasan, S., Bonito, A., & Rajagopal, K. R.
(2013).
FLOW OF A FLUID THROUGH A POROUS SOLID DUE TO HIGH PRESSURE GRADIENTS. 16(3), 193-203.
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Bonito, A., Guermond, J., & Luddens, F.
(2013).
Regularity of the Maxwell equations in heterogeneous media and Lipschitz domains. Journal of Mathematical Analysis and Applications.
408(2), 498-512.
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Bonito, A., Kyza, I., & Nochetto, R. H.
(2013).
TIME-DISCRETE HIGHER-ORDER ALE FORMULATIONS: STABILITY. SIAM Journal on Numerical Analysis.
51(1), 577-604.
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Bonito, A., Devore, R. A., & Nochetto, R. H.
(2013).
ADAPTIVE FINITE ELEMENT METHODS FOR ELLIPTIC PROBLEMS WITH DISCONTINUOUS COEFFICIENTS. SIAM Journal on Numerical Analysis.
51(6), 3106-3134.
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Bonito, A., & Pasciak, J. E.
(2012).
CONVERGENCE ANALYSIS OF VARIATIONAL AND NON-VARIATIONAL MULTIGRID ALGORITHMS FOR THE LAPLACE-BELTRAMI OPERATOR. Mathematics of Computation.
81(279), 1263-1288.
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Bonito, A., & Guermond, J.
(2011).
APPROXIMATION OF THE EIGENVALUE PROBLEM FOR THE TIME HARMONIC MAXWELL SYSTEM BY CONTINUOUS LAGRANGE FINITE ELEMENTS. Mathematics of Computation.
80(276), 1887-1910.
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Bonito, A., Nochetto, R. H., & Pauletti, M. S.
(2011).
Dynamics of Biomembranes: Effect of the Bulk Fluid. Mathematical Modelling of Natural Phenomena (MMNP).
6(5), 25-43.
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Bonito, A., Clement, P., & Picasso, M.
(2011).
Viscoelastic Flows with Complex Free Surfaces: Numerical Analysis and Simulation. Handbook of Numerical Analysis.
16(C), 305-369.
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Bonito, A., & Nochetto, R. H.
(2010).
QUASI-OPTIMAL CONVERGENCE RATE OF AN ADAPTIVE DISCONTINUOUS GALERKIN METHOD. SIAM Journal on Numerical Analysis.
48(2), 734-771.
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Bonito, A., Nochetto, R. H., & Pauletti, M. S.
(2010).
GEOMETRICALLY CONSISTENT MESH MODIFICATION. SIAM Journal on Numerical Analysis.
48(5), 1877-1899.
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Bonito, A., Lozinski, A., & Mountford, T.
(2010).
MODELING VISCOELASTIC FLOWS USING REFLECTED STOCHASTIC DIFFERENTIAL EQUATIONS. COMMUNICATIONS IN MATHEMATICAL SCIENCES.
8(3), 655-670.
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Walker, S. W., Bonito, A., & Nochetto, R. H.
(2010).
Mixed finite element method for electrowetting on dielectric with contact line pinning. Interfaces and Free Boundaries.
12(1), 85-119.
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Bonito, A., Nochetto, R. H., & Pauletti, M. S.
(2010).
Parametric FEM for geometric biomembranes. Journal of Computational Physics.
229(9), 3171-3188.
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Bonito, A., Nochetto, R. H., Quah, J., & Margetis, D.
(2009).
Self-organization of decaying surface corrugations: a numerical study. Physical Review E: Statistical, Nonlinear, and Soft Matter Physics.
79(5 Pt 1), 050601.
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Bonito, A., & Burman, E.
(2008).
A Continuous Interior Penalty Method for Viscoelastic Flows. SIAM Journal on Scientific Computing.
30(3), 1156-1177.
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Bonito, A., Clment, P., & Picasso, M.
(2007).
Mathematical and numerical analysis of a simplified time-dependent viscoelastic flow. Numerische Mathematik.
107(2), 213-255.
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Bonito, A., Clment, P., & Picasso, M.
(2006).
Finite element analysis of a simplified stochastic Hookean dumbbells model arising from viscoelastic flows. 40(4), 785-814.
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Bonito, A., Clment, P., & Picasso, M.
(2006).
Mathematical analysis of a simplified Hookean dumbbells model arising from viscoelastic flows. Journal of Evolution Equations.
6(3), 381-398.
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Bonito, A., Picasso, M., & Laso, M.
(2006).
Numerical simulation of 3D viscoelastic flows with free surfaces. Journal of Computational Physics.
215(2), 691-716.
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Bonito, A., Guignard, D., & Morvant, A.
Numerical approximations of thin structure deformations. 351(S1), 1-37.
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Bonito, A., Nochetto, R. H., & Yang, S.
(2024).
Gamma-convergent LDG method for large bending deformations of bilayer plates. IMA Journal of Numerical Analysis.
-
chapter
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Bonito, A., Caboussat, A., & Picasso, M.
(2016).
Operator Splitting Algorithms for Free Surface Flows: Application to Extrusion Processes. Glowinski, R., Osher, S. J., & Yin, W. (Eds.),
SPLITTING METHODS IN COMMUNICATION, IMAGING, SCIENCE, AND ENGINEERING.
(pp. 677-729).
Springer Nature.
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Berrone, S., Bonito, A., & Verani, M.
(2016).
An Adaptive Fictitious Domain Method for Elliptic Problems. Ventura, G., & Benvenuti, E. (Eds.),
Advances in Discretization Methods.
(pp. 229-244).
Springer Nature.
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Bonito, A., Kyza, I., & Nochetto, R. H.
(2014).
A dG Approach to Higher Order ALE Formulations in Time. Ima Volumes in Mathematics and Its Applications.
Feng, X., Karakashian, O., & Xing, Y. (Eds.),
Recent Developments in Discontinuous Galerkin Finite Element Methods for Partial Differential Equations.
(pp. 223-258).
Springer Nature.
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Bonito, A., & Pasciak, J. E.
(2013).
A Multigrid Algorithm for an Elliptic Problem with a Perturbed Boundary Condition. Springer Proceedings in Mathematics and Statistics.
Iliev, O. P., Margenov, S. D., Minev, P. D., Vassilevski, P. S., & Zikatanov, L. T. (Eds.),
Numerical Solution of Partial Differential Equations: Theory, Algorithms, and Their Applications.
(pp. 69-79).
Springer Nature.
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Bonito, A., Cascn, J. M., Morin, P., & Nochetto, R. H.
(2013).
AFEM for Geometric PDE: The Laplace-Beltrami Operator. Springer INdAM Series.
Brezzi, F., Colli Franzone, P., Gianazza, U., & Gilardi, G. (Eds.),
Analysis and Numerics of Partial Differential Equations.
(pp. 257-306).
Springer Nature.
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Bonito, A., & Burman, E.
(2006).
A Face Penalty Method for the Three Fields Stokes Equation Arising from Oldroyd-B Viscoelastic Flows. de Castro, A. B., Gómez, D., Quintela, P., & Salgado, P. (Eds.),
Numerical Mathematics and Advanced Applications.
(pp. 487-494).
Springer Nature.
-
Bonito, A., Caboussat, A., & Picasso, M.
(2016).
Operator Splitting Algorithms for Free Surface Flows: Application to Extrusion Processes. Glowinski, R., Osher, S. J., & Yin, W. (Eds.),
SPLITTING METHODS IN COMMUNICATION, IMAGING, SCIENCE, AND ENGINEERING.
(pp. 677-729).
Springer Nature.
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conference paper
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Bonito, A., Guermond, J. L., & Lee, S.
(2015).
Modified pressure-correction projection methods: Open boundary and variable time stepping. Lecture Notes in Computational Science and Engineering.
623-631.
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Bonito, A., Guermond, J., & Lee, S.
(2015).
Modified Pressure-Correction Projection Methods: Open Boundary and Variable Time Stepping. Lecture Notes in Computational Science and Engineering.
623-631.
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Bonito, A., Caboussat, A., Picasso, M., & Rappaz, J.
(2008).
A Numerical Method for Fluid Flows with Complex Free Surfaces. Computational methods in applied sciences (Springer).
187-208.
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Bonito, A., Guermond, J. L., & Lee, S.
(2015).
Modified pressure-correction projection methods: Open boundary and variable time stepping. Lecture Notes in Computational Science and Engineering.
623-631.
Research
principal investigator on
co-principal investigator on
- High Performance Computational Structure For Parameter Estimations of Parametric Partial Differential Equations awarded by United States Department of the Navy - (Arlington, Virginia, United States) 2017 - 2018
- Multi-Field Compliant Mechanisms of Adaptive Foldable Structures awarded by United States Air Force - (Arlington, Virginia, United States) 2014 - 2017
- Numerical Methods for Solving Parametric PDEs awarded by United States Department of the Navy - (Arlington, Virginia, United States) 2011 - 2015
Teaching
teaching activities
- MATH151 Hnr-engineering Math I Instructor
- MATH308 Differential Equations Instructor
- MATH409 Analysis On The Real Line Instructor
- MATH412 Theory Of Pdes Instructor
- MATH417 Numerical Methods Instructor
- MATH491 Hnr-research Instructor
- MATH491 Research Instructor
- MATH609 Numerical Analysis Instructor
- MATH610 Num Meth In Diff Equa Instructor
- MATH639 Iterative Techniques Instructor
- MATH663 Seminar In Analysis Instructor
- MATH679 Math Algorithms & Implements Instructor
- MATH684 Prof Internship Instructor
- MATH685 Directed Studies Instructor
- MATH689 Sptp: Math Finance Bootcamp Instructor
- MATH691 Research Instructor
Works By Students
chaired theses and dissertations
-
Lee, Sanghyun (2014-07). Numerical Simulations of Bouncing Jets.
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Lei, Wenyu (2018-05). Numerical Approximation of Partial Differential Equations Involving Fractional Differential Operators.
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Patty, Spencer (2017-07). An Energy Formulation of Surface Tension or Willmore Force For Two-Phase Flow.
Background
education and training
- Ph.D. in Applied Mathematics, ecole Polytechnique Federale de Lausanne - (Lausanne, Switzerland) 2006
- M.S. in Mathematical Engineering, ecole Polytechnique Federale de Lausanne - (Lausanne, Switzerland) 2002
awards and honors
Contact
first name
- Andrea
has last name
- Bonito
mailing address
-
Texas A&M University
Mathematics
3368 TAMU
College Station, TX 77843-3368
USA
Other
- bonito@tamu.edu