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The present book develops the mathematical and numerical analysis of linear, elliptic and parabolic partial differential equations (PDEs) with coefficients whose logarithms are modelled as Gaussian random fields (GRFs), in polygonal and polyhedral physical domains. Both, forward and Bayesian inverse PDE problems subject to GRF priors are considered.Adopting a pathwise, affine-parametric representation of the GRFs, turns the random PDEs into equivalent, countably-parametric, deterministic PDEs, with nonuniform ellipticity constants. A detailed sparsity analysis of Wiener-Hermite polynomial chaos expansions of the corresponding parametric PDE solution families by analytic continuation into the complex domain is developed, in corner- and edge-weighted function spaces on the physical domain.The presented Algorithms and results are relevant for the mathematical analysis of many approximation methods for PDEs with GRF inputs, such as model order reduction, neural network and tensor-formatted surrogates of parametric solution families. They are expected to impact computational uncertainty quantification subject to GRF models of uncertainty in PDEs, and are of interest for researchers and graduate students in both, applied and computational mathematics, as well as in computational science and engineering.

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Make flashy origami projects out of postcards, photos and other travel keepsakes with this easy origami book.In Travel Origami, author Cindy Ng shows you how to take the paper souvenirs you collect on your travels and turn them into beautiful and useful folded origami objects that serve as visible mementoes! Use those postcards, street maps, tickets and souvenirs and convert them into artful memories that can last a lifetime. Whether you are a world traveler or a local vacationer, Travel Origami gives you 24 easy-to-fold origami projects that are fun to make and fabulous to display in your home. Foolproof step-by-step instructions show you how to fold your paper collections into special items you can wear, carry, hang on your wall, or give to a traveling companion as a special keepsake. Use it to craft eye-catching origami for your friends, to decorate your roomor as a wonderful gift for paper craft lovers. All of the folds are simple enough to be origami-for-kids projects and are a great way to learn origami. None of the projects require paint or glue so just grab some origami paper and start folding right away!This origami book contains: 120 page, full-color book 24 fun and functional origami projects Step-by-step instructions Colorful diagrams and photos Origami basics and tipsTravel Origami is the perfect way to stretch your adventures into hours of memory-making fun while reminiscing with family and friends.Origami projects include: Comic Strip Bracelet Metro Card Holder New Kind of Envelope Modern Money Ring And many more