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This paper explores the role of scientific computing in visualization for mathematical models, differentiating between simplified analytical solutions and advanced numerical approaches. It discusses two main alternatives: the first focuses on real-world simplified models providing exact solutions, while the second tackles more complex models through numerical methods, yielding approximative solutions. Emphasizing the importance of effective visualization, the paper presents insights into software engineering and computer science techniques that enhance understanding and application in scientific contexts.
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Simulation Application area Visualization “Scientific Computing” Mathematics //-computing Numerics Software- engineering Computer Science
Alternative 1 Real World Simplified model Analytical solution Exact solution to “simple model”
Alternative 2 Real World Advanced model Numerical solution Approximative solution to “advanced model”