
Sepúlveda Salas, Paulina
Doctora en Ciencias Matemáticas, Portland State University, Estados Unidos.
paulina.sepulveda@pucv.cl
(+56) 32 227 4024
Research Interests
- Numerical Analysis
- Numerical Solutions to Partial Differential Equations
- Scientific Computing
Línea de investigación
- Numerical Analysis / Análisis Numérico
- IMA Numerics (Our new Academic Website)
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
- Two adaptive discontinuous space-time methods for the wave equation.French Latin-American Conference on New Trends in Applied Mathematics, Universidad de Chile, Chile, Diciembre.
- A well-posed DPG formulation for the wave equation in multiple dimensions.Minimum Residual & Least-Squares Finite Element Methods, Humboldt University, Berlin, Germany, Septiembre. (Invitada)
- Estrategias numéricas espacio-temporales para la ecuación de la onda, Seminario, Universidad Técnica Federico Santa Maria, Agosto, (Invitada).
- Explicit-in-time adaptive p-refinement for the heat equation. Mathematical and Computational Modelling on the Earth, Universitat Politecnica de Catalunya, Barcelona, Spain, Mayo.
- A Spacetime DPG Method for the Wave Equation in Multiple Dimensions. WONAPDE 2019. Concepción, Chile, Enero.
- A Spacetime Goal-Oriented Adaptivity for an Explicit in Time Finite Element Method. WONAPDE 2019. Concepción, Chile, Enero.
2018
- A spacetime DPG method for the wave equation. 8th International Conference Computational Methods in Applied Mathematics: CMAM-8. Minsk, Belarus, Julio.
- Implementation of weak symmetric stress tensor for linear elasticity, BCAM Scientific Seminar, Bilbao, España. Junio.
- An adaptive spacetime DPG method for the wave equation in multiple dimensions, Fifth international
congress on multiphysics, multiscale, and optimization problems m2opV. Mayo, Bilbao, España. - Space-time CFOSLS systems: Adaptive Mesh Refinement, CASCADE RAIN 2018, Portland, Oregon, EstadosUnidos. Abril, 2018. (Invitada)
- Spacetime numerical techniques for the Schrödinger and wave equations, Defensa pública de doctorado, Portland, Oregon, Estados Unidos, Enero, 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:
- Jornadas Escolares de Matemáticas 2020 (link)
- 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)
Pregrados