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In May 2006, The University of Utah hosted an NSF-funded minicourse on stochastic partial differential equations. The goal of this minicourse was to introduce graduate students and recent Ph.D.s to various modern topics in stochastic PDEs, and to bring together several experts whose research is centered on the interface between Gaussian analysis, stochastic analysis, and stochastic partial differential equations. This monograph contains an up-to-date compilation of many of those lectures. Particular emphasis is paid to showcasing central ideas and displaying some of the many deep connections between the mentioned disciplines, all the time keeping a realistic pace for the student of the subject.
Stochastic partial differential equations --- Stochastic differential equations --- Mathematical Statistics --- Mathematics --- Physical Sciences & Mathematics --- Stochastic partial differential equations. --- Stochastic differential equations. --- Banach spaces, Stochastic differential equations in --- Hilbert spaces, Stochastic differential equations in --- SPDE (Differential equations) --- Stochastic differential equations in Banach spaces --- Stochastic differential equations in Hilbert spaces --- Mathematics. --- Integral equations. --- Partial differential equations. --- Probabilities. --- Probability Theory and Stochastic Processes. --- Partial Differential Equations. --- Integral Equations. --- Probability --- Statistical inference --- Combinations --- Chance --- Least squares --- Mathematical statistics --- Risk --- Partial differential equations --- Equations, Integral --- Functional equations --- Functional analysis --- Math --- Science --- Differential equations --- Fokker-Planck equation --- Differential equations, Partial --- Distribution (Probability theory. --- Differential equations, partial. --- Distribution functions --- Frequency distribution --- Characteristic functions --- Probabilities --- Distribution (Probability theory)
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In May 2006, The University of Utah hosted an NSF-funded minicourse on stochastic partial differential equations. The goal of this minicourse was to introduce graduate students and recent Ph.D.s to various modern topics in stochastic PDEs, and to bring together several experts whose research is centered on the interface between Gaussian analysis, stochastic analysis, and stochastic partial differential equations. This monograph contains an up-to-date compilation of many of those lectures. Particular emphasis is paid to showcasing central ideas and displaying some of the many deep connections between the mentioned disciplines, all the time keeping a realistic pace for the student of the subject.
Algebra --- Partial differential equations --- Operational research. Game theory --- differentiaalvergelijkingen --- algebra --- stochastische analyse --- kansrekening
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Algebra --- Partial differential equations --- Operational research. Game theory --- differentiaalvergelijkingen --- algebra --- stochastische analyse --- kansrekening
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