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1
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Introduction
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2
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Short Term Load Forecasting
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3
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Extreme Value Theory
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4
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Extreme Value Statistics
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5
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Case Study
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1
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Dynamical Systems in Biology: A Short Introduction
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1
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Geophysical Fluid Dynamics and Simulation
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1
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Introduction
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1
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Multi-scale Methods for Geophysical Flows
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3
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An Approximate Theory of Linear Waves in an Elastic Layer and Its Relation to Microstructured Solids
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3
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Modeling the Dynamics of Glacial Cycles
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3
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The Governing Equations and Dry Dynamics
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5
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The Deterministic Skeleton Model and Observed Features of the MJO
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17
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Finite Element Methods for Geophysical Flows
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23
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Moisture and Moist Thermodynamics
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29
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Antiplane Surface Wave Propagation Within the Stress Gradient Surface Elasticity
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29
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A Stochastic Skeleton Model for the MJO
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35
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Mathematics of the <Emphasis Type="Italic">Not-So-Solid</Emphasis> Solid Earth
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35
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Modeling of Molecular Networks
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39
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Firedrake
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41
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Dispersive and Nondispersive Nonlinear Long Wave Transformations: Numerical and Experimental Results
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41
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Observations of Tropical Climate Dynamics and Convectively Coupled Waves
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49
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Tropical–Extratropical Interactions and the MJO Skeleton Model
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53
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The Interior Energy Pathway: Inertia-Gravity Wave Emission by Oceanic Flows
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55
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Mathematical Challenges in Measuring Variability Patterns for Precipitation Analysis
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55
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Models in Two-Dimensions
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57
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Introduction to Stochastic Processes, Markov Chains, and Monte Carlo Simulation
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61
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Nonlinear Models of Finite Amplitude Interfacial Waves in Shallow Two-Layer Fluid
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63
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Large-Scale Epidemic Models and a Graph-Theoretic Method for Constructing Lyapunov Functions
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67
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New Indices for Observations of Tropical Variability Based on the Skeleton Model and a Model for the Walker Circulation
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75
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Models in Three-Dimensions
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75
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Simple Models for Moist Gravity Waves
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77
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Mathematics of Malaria and Climate Change
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87
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The IDEMIX Model: Parameterization of Internal Gravity Waves for Circulation Models of Ocean and Atmosphere
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89
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Emergence of Solitonic Structures in Hierarchical Korteweg–de Vries Systems
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93
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Refined Vertical Structure in the Stochastic Skeleton Model for the MJO
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99
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Mixing in Meta-Population Models
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99
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The Multicloud Model with Congestus Preconditioning
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109
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A Risk-Structured Mathematical Model of Buruli Ulcer Disease in Ghana
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113
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Current and Future Research Perspectives
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117
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Convectively Coupled Equatorial Waves in the Multicloud Model
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125
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Nonlinear Longitudinal Bulk Strain Waves in Layered Elastic Waveguides
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127
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Observations and Models of Low-Mode Internal Waves in the Ocean
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127
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Structured Population Models for Vector-Borne Infection Dynamics
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129
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Data-Informed Modeling in the Health Sciences
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133
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Convective Momentum Transport and Upscale Interactions in the MJO
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145
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Toward Consistent Subgrid Momentum Closures in Ocean Models
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149
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Stochastic Population Kinetics and Its Underlying Mathematicothermodynamics
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151
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On Two-Dimensional Longitudinal Nonlinear Waves in Graphene Lattice
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163
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Implementation of the Multicloud Model in an Aquaplanet Global Climate Model
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167
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Shock Waves in Hyperbolic Systems of Nonequilibrium Thermodynamics
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177
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Multistability in Ecosystems: Concerns and Opportunities for Ecosystem Function in Variable Environments
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185
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Stochastic Birth and Death Models for Clouds
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187
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Linear and Nonlinear Theories for Thermoacoustic Waves in a Gas Filled Tube Subject to a Temperature Gradient
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189
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The Turing Model for Biological Pattern Formation
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193
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Diagnosing and Parameterizing the Effects of Oceanic Eddies
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203
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Measurement of Biodiversity: Richness and Evenness
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205
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Persistence, Competition, and Evolution
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207
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Mathematics of Nerve Signals
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225
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Entropy Production in Turbulence Parameterizations
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225
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The Mathematics of Extinction Across Scales: From Populations to the Biosphere
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229
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Implementation of the SMCM in a Global Climate Model
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239
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Kinetic Equations and Cell Motion: An Introduction
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239
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Operator Splits and Multiscale Methods in Computational Dynamics
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245
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Reducing Spurious Diapycnal Mixing in Ocean Models
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245
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SMCM in CFS: Improving the Tropical Modes of Variability
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257
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An Explicit Finite Volume Numerical Scheme for 2D Elastic Wave Propagation
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267
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Modeling Food Systems
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281
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A Design of a Material Assembly in Space-Time Generating and Storing Energy
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287
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Diffuse Interface Approaches in Atmosphere and Ocean—Modeling and Numerical Implementation
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297
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Dynamic Optimization, Natural Capital, and Ecosystem Services
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305
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Solving Nonlinear Parabolic Equations by a Strongly Implicit Finite Difference Scheme
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313
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Quantitative Models for Infrastructure Restoration After Extreme Events: Network Optimization Meets Scheduling
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337
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The Internet of Things and Machine Learning, Solutions for Urban Infrastructure Management
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343
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A Parabolic Approach to the Control of Opinion Spreading
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365
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Entropy Production in Phase Field Theories