The Finite Difference Method -- Finite Difference Calculus -- Elliptic Equations -- Iterative Methods for Elliptic Equations -- Parabolic Equations -- Hyperbolic Equations -- The Finite Element Method -- General Principles -- A 1-D Tutorial -- Multi-Dimensional Elements -- Time-Dependent Problems -- Vector Problems -- Numerical Analysis -- Inverse Methods -- Inverse Noise, SVD, and Linear Least…
Change of support: an inter-disciplinary challenge -- Combining categorical and continuous information using Bayesian Maximum Entropy -- Geostatistical prediction of spatial extremes and their extent -- Monitoring network optimisation using support vector machines -- Bayesian Kriging with lognormal data and uncertain variogram parameters -- Kriging of scale-invariant data: optimal parameterizat…
PartI: Foundations of Resilience -- Chapter1: Risk and Resilience: Similarities and Differences -- Chapter2: Resilience as Function of Space and Time -- Chapter3: Panarchy: Thinking in Systems and Networks -- Chapter4: Lessons from History -- PartII: Resilience Assessment: State of Science and Governance -- Chapter5: Resilience and Governance -- Chapter6: Resilience Quantification and Assessmen…