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This graduate-level course is a continuation of Mathematical Methods for Engineers I (18.085).
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English
English [CC]
FREE
- Learn basic syntax that can apply to any language.
- Learn what is a programming language and the basic concepts for beginners.
- Understand what is Javascript in it's truest form.
- Know the basic syntax of Javascript.
- Know some hidden quirks in Javascript.
Description
Topics include numerical methods; initial-value problems; network flows; and optimization.
Course content
- Difference Method For Ordinary Differential Equations Unlimited
- Finite Differences, Accuracy, Stability, Convergence Unlimited
- The One-Way Wave Equation and CFL/Von Neumann Stability Unlimited
- Comparison Of Method For The Wave Equation Unlimited
- Second Order Wave Equation (Including Leapfrog) Unlimited
- Wave Profiles, Heat Equation / Point Sources Unlimited
- Finite Differences For The Heat Equation Unlimited
- Convection Diffusion / Conversation Law Unlimited
- Conversation Law / Analysis / Shocks Unlimited
- Shock and Fans From Point Source Unlimited
- Level Set Method Unlimited
- Mateices In Difference Equation (1D, 2D, 3D) Unlimited
- Elimination With Recording: Sparse Matrices Unlimited
- Financial Mathematics / Black-Scholes Equation Unlimited
- iterative Methods And Preconditioners Unlimited
- Genral Method For Sparse System Unlimited
- Multigrid Method Unlimited
- Krylov Methods / Multigrid Continued Unlimited
- Conjugate Gradient Method Unlimited
- Fast Poisson Solver Unlimited
- Optimization With Constraints Unlimited
- Weighted Least Square Unlimited
- Calculus and Variations / Weak Form Unlimited
- Error Estimates / Projection Unlimited
- Saddle Points / Inf-sup Condition Unlimited
- Two Squares / Equality Constraint BU=D Unlimited
- Regularization By Penalty Term Unlimited
- Linear Programming and Duality Unlimited
- Duality Puzzle / Inverse Problem / Integral Equation Unlimited
Instructor
Massachusetts Institute of Technology
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