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Instituto de Matemáticas Aplicadas UCV
Sepúlveda Salas, Paulina

Sepúlveda Salas, Paulina

Doctora en Ciencias Matemáticas, Portland State University, Estados Unidos.

paulina.sepulveda@pucv.cl

(+56) 32 227 4024

Pagina del academico

Research Interests

  • Numerical Analysis
  • Numerical Solutions to Partial Differential Equations
  • Scientific Computing

 

Línea de investigación

Publications

  • J. Gopalakrishnan and P. Sepúlveda.  “A space-time DPG method for the wave equation in multiple dimensions”.  In collection “Space-Time Methods: Applications to Partial Differential Equations” . pp. 117-140, 2019.

 

  • K. Voronin, C. S. Lee, M. Neumüller, P. Sepulveda, and P. Vassilevski.”Space-time discretizations using constrained first-order system least-squares (CFOSLS)”,Volume 373, Pages 863-876, 2018. doi.org/10.1016/j.jcp.2018.07.024

 

  • L. Demkowicz, J. Gopalakrishnan, S. Nagaraj, and P. Sepúlveda. “A Spacetime DPG Method for the Schrödinger Equation”. SIAM J. Numer. Anal., 55(4), 1740–1759, 2017. doi/10.1137/16M1099765

 

  • J. Gopalakrishnan, P. Monk and P. Sepúlveda. “A tent pitching scheme motivated by Friedrichs theory”. Computers & Mathematics with Applications, Volume 70, Issue 5, pp. 1114-1135, 2015. doi.org/10.1016/j.camwa.2015.07.001

Participation in Conferences

2019

2018

2017

  • Spacetime DPG formulation for the Schrödinger and Wave Equations, Minimum Residual & Least-Squares Finite Element Methods, Portland, OR, Estados Unidos. Octubre.
  • Divergence-free solvers for block systems with divergence constraint, Poster Symposium, Lawrence LivermoreNational Laboratory, Livermore, California, Estados Unidos. Agosto.
  • Elastic waves generated by a landslide, CASCADE RAIN 2017, Vancouver, Canadá. Abril.(Premio a estudiante de posgrado.)
  • A spacetime DPG method for Schrödinger equation, Seventh Valparaíso’s Mathematics and its Applications Days, Pontificia Universidad Católica de Valparaíso, Valparaíso, Chile, Enero 12-13, 2017. (Invitada)

2016

  • A scheme with discontinuous and conforming spaces for the wave equation, WONAPDE 2016, Universidad de Concepción, Concepción, Chile, Enero. (Premio estudiante de posgrado)
  • A density result for the graph space of the Schrodinger operator, Applied Seminar, Portland State University, Portland, OR, Estados Unidos, October.

2015

  • A density result for a graph space, Applied Seminar, Portland State University, Portland, OR, Estados Unidos. Mayo, 2015.
  • A tent pitching scheme motivated by Friedrichs theory, Applied Seminar, Portland State University, Portland, OR, Estados Unidos, Febrero.

2014

  • Elastic wave propagation with CLAWPACK, Seminar, Pontificia Universidad Católica de Valparaíso,Valparaíso, Chile, Portland, OR, Estados Unidos, Marzo 28, 2014. (Invitada)
  • A Mixed Finite Element for the Linear Elasticity on Cubic Grids, Applied and Computational Mathematics, Portland State University, Portland, OR, Estados Unidos, 2014.

Courses

Undergraduate courses

  • IMA 1203-01. Programación. Segundo Semestre 2020.
  • IMA 1114.01. Uso de las tecnologías para la enseñanza y aprendizaje de la matemática. Primer Semestre 2020.
  • IMA 1203-01. Programación. Segundo Semestre 2019.

 

Summer courses

  • Competencias digitales para la enseñanza y el aprendizaje de la matemática, January 2020

Organization Committee Events

Organizadora:

  • XLVI Semana de la Matemática – 2020 (link)
  • 8va V-Escuela de Doctorado en Matemática – 2020 (link)
  • Conmemoración Día Internacional de  Mujeres en Matemáticas – 2020 (link)
  • VIII Escuela del Doctorado en Matemática de Valparaíso – 2019 (link)

 

Weekly activities:

  • Seminar in Numerical Analysis and Applied Mathematics: Caleta Numérica – 2020 (link)