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Mathematics of Planet Earth [2019]

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