Numerical Methods

Features

• This unique free application is for all students across the world. It covers 77 topics of Numerical Methods in detail. These 77 topics are divided in 5 units.
• Each topic is around 600 words and is complete with diagrams, equations and other forms of graphical representations along with simple text explaining the concept in detail.
• This USP of this application is "ultra-portability". Students can access the content on-the-go from anywhere they like.
• Basically, each topic is like a detailed flash card and will make the lives of students simpler and easier.
• Some of topics Covered in this application are:
• 1. Solution of algebraic and transcendental equations
• 2. Methods of solving roots of polynomial equations
• 3. Initial Approximation for an Iterative Procedure
• 4. Method of False Position
• 5. Newton-Raphson Method
• 6. General Iteration Method
• 7. Convergence of the Iteration Methods
• 8. Linear system of algebraic equations
• 9. Direct method for solving linear system
• 10. Guass elimination method
• 11. Guass jordan method
• 12. Iterative Methods
• 13. Gauss-Jacobi Iteration Method
• 14. Gauss-Seidel Iteration Method
• 15. Eigen value problems
• 16. Power method
• 17. Interpolation
• 18. Lagrange Interpolation
• 19. Linear Interpolation
• 20. Quadratic interpolation
• 21. Error of interpolation
• 22. Divided differences
• 23. Newton’s Divided Difference Interpolation
• 24. Interpolation With Evenly Spaced Points
• 25. Relations between differences and derivatives
• 26. Newton's forward difference formula
• 27. Newton's Backward Difference Interpolation Formula
• 28. Spline function
• 29. Cubic Interpolation
• 30. Numerical Differentiation
• 31. Derivatives Using Newton’s Forward Difference Formula
• 32. Derivatives Using Newton's Backward difference Formula
• 33. Derivatives using Divided Difference Formula
• 34. Numerical Integration and Integration Rules Based on Uniform Mesh Spacing
• 35. Trapezium Rule
• 36. Error in Trapezium Rule
• 37. Composite trapezium rule
• 38. Simpson’s 1/3 Rule
• 39. Error in Simpson's 1/3 Rule
• 40. Composite Simpson's 1/3 Rule
• 41. Simpsom's 3/8 Rule
• 42. Romberg Method
• 43. Romberg method for the trapezium rule
• 44. Romberg method for the Simpson's 1/3 Rule
• 45. Gauss-Legendre Integration Rules
• 46. Gauss one point rule (Gauss-Legendre one point rule)
• 47. Gauss Two point rule (Gauss-Legendre Two point rule)
• 48. Gauss Three point rule (Gauss-Legendre Three point rule)
• 49. Evaluation of Double Intergral Using Trapezium Rule
• 50. Evaluation of Double Intergral Using Simpson's rule
• 51. Introduction to Initial Value Problem for Ordinary Differential Equations
• 52. Reduction of second order equation to a first order system
• 53. Single Step Method
• 54. Multi step Methods
• 55. Taylor series Method
• 56. Modified Euler or Heun’s Methods
• 57. Runge Kutta Methods
• 58. Taylor Series Method
• 59. Runge-Kutta Fourth Order Method
• 60. Multi Step Methods and Predictor-Corrector Methods
• 61. Predictor Methods
• 62. Adams-Moulton Methods
• 63. Stability of Numericals Method
• 64. Milne-Simpsons Method
• 65. Introduction of Boundary value Problems
• 66. Boundary Value problem governed by Second order Differential Equation
• 67. Finite Difference method
• 68. Classification of Linear Second Order Partial Differentiation Equation
• 69. Finite Difference Methods for Laplace
• 70. Finite Difference Methods for poisson Equations
• 71. Explicit Method for Heat Conduction Equations
• 72. Truncation error of the Schmidt method
• 73. Implicit methods for Heat Conduction Equations
• 74. Finite Difference Methods for Wave Equations
• 75. Explicit methods for Wave Equations
• 76. Truncation error of the explicit method for wave equation
• 77. Implicit methods Wave Equations

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