MA 61500, Spring 2025 
 Numerical Methods For Partial Differential Equations I
Credit Hours: 3.00.  (CS 615) Finite element method for elliptic partial differential equations; weak formulation; finite-dimensional approximations; error bounds; algorithmic issues; solving sparse linear systems; finite element method for parabolic partial differential equations; backward difference and Crank-Nicholson time-stepping; introduction to finite difference methods for elliptic, parabolic, and hyperbolic equations; stability, consistency, and convergence; discrete maximum principles. Prerequisite: MA 51400, 52300.
						
    
                        
                
        
    
						
Instructor Info
    
        
            | Section | 
            Room | 
            Time | 
            Instructor | 
            Office | 
        
    
    
                    
                | 001 | 
                LILY G401 | 
                12:00PM | 
                TR | 
                
                                            Zhiqiang  Cai
                                     | 
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    Course Materials
    
        
            
                | Section | 
                Type | 
                Title | 
                Author | 
            
        
        
                            
                    | ALL | 
                    TEXT | 
                                            The Mathematical Theory of Finite Element Methods | 
                                        Brenner and Scott | 
                
                    
    
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