Approximation for Semilinear Stochastic Evolution Equations

By Erika Hausenblas. 2003

182 citations recorded by the source corpus.

Subfields: Computational Mechanics, Computational Theory and Mathematics, Mathematical Physics

View Paper: https://www.semanticscholar.org/paper/8dac8716835ed107a07ecfe5cecac6d04cee4525

How researchers see this paper

The researchers whose trusted networks rank it highest, strongest advocate first. Every researcher gets a different order.

In Computational Mechanics

1. Arnulf Jentzen
2. Peter E. Kloeden
3. Erika Hausenblas
4. Xuerong Mao

In Computational Theory and Mathematics

1. Arnulf Jentzen
2. Peter E. Kloeden
3. Erika Hausenblas
4. Yubin Yan
5. Bixiang Wang

In Mathematical Physics

1. Arnulf Jentzen
2. Peter E. Kloeden
3. Erika Hausenblas
4. El.zbieta Motyl

Citations in the corpus

• The Numerical Approximation of Stochastic Partial Differential Equations (2009, methodology): “For example, in 2003 Hausenblas [50] applied the linear-implicit and explicit Euler scheme and the CrankNicholson scheme to the SPDE (3.”
• Numerical analysis of semilinear stochastic evolution equations in Banach spaces (2002, background): “Since we go back on results proven in [21], we cite here the necessary theorems.”
• Overcoming the order barrier in the numerical approximation of stochastic partial differential equations with additive space–time noise (2009, methodology): “Jentzen and P. E. Kloeden 656 Shardlow (1999) applied finite differences to the SPDE (4.”
• TAYLOR EXPANSIONS OF SOLUTIONS OF STOCHASTIC PARTIAL DIFFERENTIAL EQUATIONS WITH ADDITIVE NOISE (2010, unknown): “, Assumption H1–H3 in [15] or see also [24, 32–34]).”