Discretization - Study guides, Class notes & Summaries

Introduction to Stochastic Finance with Market Examples By Nicolas Privault. SOLUTIONS MANUAL Introduction. 1. Assets, Portfolios, and Arbitrage. 1.1. Portfolio Allocation and Short Selling. 1.2. Arbitrage. 1.3. Risk-Neutral Probability Measures. 1.4. Hedging of Contingent Claims. 1.5. Market Completeness. 1.6. Example: Binary Market. Exercises. 2. Discrete-Time Market Model. 2.1. Discrete-Time Compounding. 2.2. Arbitrage and Self-Financing Portfolios. 2.3. Contingent Claims. 2.4. Martingales an...

PETE 401 Test 1 Questions & Answers 2024/2025 Analytical domain - ANSWERSInvolves framing the problem in a well-understood form and calculating a exact solution Numerical domain - ANSWERSmaking guesses at the solution and testing whether the problem is solved well enough to stop What is discretization (space and time), and how its related to model performance - ANSWERSprocess of converting continuous functions, models, variables, and equations into discrete counterparts Two things ne...

FINITE ELEMENT METHOD PART A QUESTIONS WITH ANSWERS UNIT 1 1. What is meant by finite element? A small units having definite shape of geometry and nodes is called finite element. 2. What is meant by node or joint? Each kind of finite element has a specific structural shape and is inter- connected with the adjacent element by nodal point or nodes. At the nodes, degrees of freedom are located. The forces will act only at nodes at any others place in the element. ...

Numerical methods using digital computers are, of course, commonly utilized to solve a wide variety of flow problems. As discussed in Chapter 6, although the differential equations that govern the flow of Newtonian fluids [the Navier–Stokes equations (Eq. 6.127)] were derived many years ago, there are few known analytical solutions to them. However, with the advent of highspeed digital computers it has become possible to obtain approximate numerical solutions to these (and other fluid mechanic...

Appendix A Computational Fluid Dynamics and FlowLab A.1 Introduction Numerical methods using digital computers are, of course, commonly utilized to solve a wide variety of flow problems. As discussed in Chapter 6, although the differential equations that govern the flow of Newtonian fluids [the Navier–Stokes equations (Eq. 6.127)] were derived many years ago, there are few known analytical solutions to them. However, with the advent of highspeed digital computers it has become possible ...

Machine Learning Final Exam With all Answers complete According to the formal definition of machine learning, "A computer program is said to learn from _______ with respect to some class of _______ and performance measure P, if its performance at ________, as measured by P, improves with __________". Sparsity and Density Example of a regression problem Example of a classification problem Min-Max Normalization Decimal Scaling Discretization Reasons to discretize data (3) ...

Pete 401 Exam 1 Questions & Answers 2024/2025 One way to derive an explicit approximation of the reservoir simulation equation is to use central differences for spatial derivatives, and forward differences for time derivatives. - ANSWERSTrue, Blah A Material Balance Model for a Volumetric Undersaturated Oil Reservoir neglects reservoir flow effects and assumes constant permeability - ANSWERSFalse, it... Because the Partial Differential Equation (PDE) of the reservoir simulation flow e...

1.1. A finite element is a small body or unit interconnected to other units to model a larger structure or system. 1.2. Discretization means dividing the body (system) into an equivalent system of finite elements with associated nodes and elements. 1.3. The modern development of the finite element method began in 1941 with the work of Hrennikoff in the field of structural engineering. 1.4. The direct stiffness method was introduced in 1941 by Hrennikoff. However, it was...

According to the formal definition of machine learning, "A computer program is said to learn from _______ with respect to some class of _______ and performance measure P, if its performance at ________, as measured by P, improves with __________". correct answers experience (E), tasks (T), tasks (T), experience (E) Sparsity and Density correct answers Data sparsity and density describe the degree to which data exists for each feature of all observations. So if a table is 80% dense, then 2...

Types of Data Mining correct answersDescriptive (exploratory) Predictive (Explanatory) Text Phases of Data Mining correct answers1) define aims 2) list existing data 3) collect data 4) explore and prepare data 5) segment pop 6) draw up and validate predictive models 7) deploy Models 8) train Model users 9) monitor models 10) enrich Models Data Preparation Functions correct answers- Longest stage of data study. Done to decrease workload and increase efficiency of statistical anal...