Numerical Solutions to PDEs
Lecture Notes #13
Systems of PDEs in Higher Dimensions
The Alternating Direction Implicit Method
Peter Blomgren,
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Department of Mathematics and St
Numerical Solutions to PDEs
Lecture Notes #11 Parabolic PDEs
Stability, Boundary Conditions;
Convection-Diusion; Variable Coecients
Peter Blomgren,
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Department of Mathematics a
Numerical Solutions to PDEs
Lecture Notes #14
Second Order Equations
Introduction; Finite Dierences
Peter Blomgren,
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Department of Mathematics and Statistics
Dynamical System
Numerical Solutions to PDEs
Lecture Notes #15
Second Order Equations
Boundary Conditions; 2D and 3D
Peter Blomgren,
[email protected]
Department of Mathematics and Statistics
Dynamical System
Numerical Solutions to PDEs
Lecture Notes #12
Systems of PDEs in Higher Dimensions
2D and 3D; Time Split Schemes
Peter Blomgren,
[email protected]
Department of Mathematics and Statistics
Dyn
Numerical Solutions to PDEs
Lecture Notes #9 Dissipation and Dispersion
Peter Blomgren,
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Department of Mathematics and Statistics
Dynamical Systems Group
Computational Sciences
Numerical Solutions to PDEs
Lecture Notes #8
Stability for Multistep Schemes
Schur and von Neumann Polynomials
Peter Blomgren,
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Department of Mathematics and Statistics
Dynam
The Professor
The Class Overview
The Class.
Introduction
Numerical Solutions to PDEs
Lecture Notes #1 Introduction
Peter Blomgren,
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Department of Mathematics and Statistics
Dyn
PDEs
Hyperbolic PDEs
Numerical Solutions to PDEs
Lecture Notes #2 Finite Dierence Schemes
Peter Blomgren,
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Department of Mathematics and Statistics
Dynamical Systems Group
Comp
Numerical Solutions to PDEs
Lecture Notes #7
Stability for Multistep Schemes
Leapfrog Scheme; General Multistep Schemes
Peter Blomgren,
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Department of Mathematics and Statist
Numerical Solutions to PDEs
Lecture Notes #5 Order of Accuracy of Finite Dierence
Schemes
Peter Blomgren,
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Department of Mathematics and Statistics
Dynamical Systems Group
Comp
Numerical Solutions to PDEs
Lecture Notes #3
Hyperbolic Partial Dierential Equations
Convergence, Consistency, and Stability; the CFL Condition
Peter Blomgren,
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Department of
Numerical Solutions to PDEs
Lecture Notes #4
Analysis of Finite Dierence Schemes
Fourier Analysis; Von Neumann Analysis
Peter Blomgren,
[email protected]
Department of Mathematics and Statist
Numerical Solutions to PDEs
Lecture Notes #6
Stability of Lax-Wendro and Crank-Nicolson;
Boundary Conditions
Peter Blomgren,
[email protected]
Department of Mathematics and Statistics
Dynamical